Question: Three identical homogeneous spheres are placed on a smooth horizontal surface, each touching the others. A rope is wrapped around the three spheres at the height of their centers and tied together. A fourth identical sphere is then placed on top of the three spheres. Find the tension $T$ in the rope. What is the weight of each sphere $P$ ?


Question:
Regarding the history of Russian drama, important playwrights, and their works, the correct statements are:
I. Sumarokov's tragedy Dmitry the Pretender (Димитрий Самозванец) is based on real historical events in Russia.
II. Vampilov, with his unique artistic style and strong moral force, formed the "Vampilov School" of drama.
III. Russian drama in the 1920s primarily focused on the moral crisis of people within Russia.
IV. Chekhov broke away from traditional dramatic patterns in his works, emphasizing the conflicts between plot and characters.


Question: To which category of metal materials does pure iron belong?


Question: Who is the representative of the School of Transmission?


Question: The mechanism generally believed to drive plate tectonics is ()

A) Thermal convection (circulation) in the upper mantle

Choices:
Thermal convection (circulation) in the upper mantle
Thermal convection (circulation) in the Earth's core
Gravitational forces from the Sun and the Moon
Thermal convection (circulation) in the lower crust
The influence of the Earth's magnetic field
Thermal convection (circulation) in the upper asthenosphere
Thermal convection (circulation) in the asthenosphere
Thermal convection (circulation) in the lower mantle
Thermal convection (circulation) in the lithosphere


Question: What are the components of a remote sensing technology system?

I) Electromagnetic waves of the target object, information acquisition, information reception, information processing, information application.

Choices:
Heat emissions from the observed entity, content collection, content reception, content analysis, content usage.
Light reflections from the target object, detail capture, detail reception, detail processing, detail application.
Mechanical forces on the target zone, detail accumulation, detail reception, detail analysis, detail employment.
Electrical impulses of the target device, data capturing, data handling, data decoding, data utilization.
Optical signals from the target site, insight collection, insight reception, insight processing, insight application.
Radio frequencies of the target entity, data collection, data reception, data computing, data implementation.
Light rays from the observed subject, data gathering, data reception, data analyzing, data exploiting.
Light reflections from the target object, data acquisition, data reception, data processing, data application.
Electromagnetic waves of the target object, information acquisition, information reception, information processing, information application.
Sound waves from the target area, signal gathering, signal reception, signal interpretation, signal deployment.

Surveying and Mapping Science and Technology

Digital Surveying and Remote Sensing Applications


Question: At room temperature, the effective density of states in the valence band $N_{\tau}=1.04 \times 10^{19} / \mathrm{cm}^{3}$. A $\mathbf{p}$-type semiconductor has an acceptor density $N_{A}=1.04 \times 10^{16} / \mathrm{cm}^{3}$, the bandgap energy of the semiconductor $E_{\mathrm{g}} = 1.12 \mathrm{eV}$, electron affinity $X=3.4 \mathrm{eV}$. At room temperature, the work function measured is $W=3.9 \mathrm{eV}$. What is the surface potential $V_{\mathrm{s}}$ of this semiconductor?


Question: In which volume and issue of the journal Linguistics was the paper "Articulatory constraints on stop insertion and elision in consonant clusters" originally published?


Question: A piezoelectric crystal has a capacitance of $C_a = 1 \, 000 \, \text{pF}$ and a charge sensitivity of $S_q = 2.5 \, \text{pC/N}$; the cable capacitance is $C_e = 3 \, 000 \, \text{pF}$; the input impedance of the oscilloscope is $1 \, \text{M}\Omega$, and the input capacitance is $50 \, \text{pF}$. If the frequency is $10 \, \text{Hz}$ and the allowable error is $5\%$, what should be the value of the parallel capacitance in a parallel connection?


Question: Research in developmental and educational psychology often employs testing methods. Depending on the nature of the test materials, tests can be divided into ___.

Choices:
Achievement Test, Aptitude Test, Intelligence Test, Personality Test
Performance-Based Tests and Knowledge-Based Tests
Observational Tests and Self-Report Tests
Standardized Tests and Non-Standardized Tests
Paper-and-Pencil Testing and Computerized Testing


Question: Assume there is a communication protocol where each packet introduces an overhead of 100 bytes for headers and framing. Now, using this protocol to send $1 0^{6}$ bytes of data, however, one byte is corrupted during the transmission, and hence the packet containing that byte is discarded. Try to calculate the total number of "overhead + lost" bytes for effective data sizes of 1000 bytes and 20000 bytes per packet, respectively. What is the optimal packet data size?


Question: Two soap bubbles combine to form a single bubble. In this process, the change in volume and surface area are $V$ and $A$ respectively. If $P$ is the atmospheric pressure, and $T$ is the surface tension of the soap solution, then which of the following relation is true?


Question: Length of the latus rectum of the hyperbola $xy-3x-4y+8=0$


Question: Given the series $\sum\limits_{n=0}^{\infty }{a_{n}}(x+3)^{n}$ converges at $x=-1$, determine the convergence or divergence of the series at $x=1$.

J) cannot determine the convergence or divergence

Choices:
converges, but the radius of convergence is unknown
converges, but the behavior is undetermined
cannot determine the convergence or divergence


Question: The shaft that only bears torque is called which of the following?


Question: Who is the author of 'Under the roofs of Shanghai'?

Modern and Contemporary Chinese Literature


Question: The dry bulb temperature is 20°C and the humidity of the moist air is $0.009 \mathbf{kg} / \mathbf{kg}$ (on an absolutely dry basis). This moist air is heated to 50°C through a preheater and then sent to an atmospheric dryer. When leaving the dryer, the relative humidity of the air is 80%. If the air undergoes an isothermal drying process in the dryer, calculate the amount of moisture obtained for 1m³ of the original moist air in the dryer.

Mass Transport and Separation Process in Chemical Engineering


Question: A cylindrical metal tube has a length of $50\ cm$ and is open at both ends. The frequencies between $1\ kHz$ to $2\ kHz$ at which the air column in the tube resonates are $($the temperature on that day is $20^{o}C (V_{0} = 330\ m/s)$


Question: What is the heat treatment method for high-speed steel?

I) Spheroidization annealing+quenching+low-temperature tempering

Choices:
Spheroidization annealing+quenching+medium temperature tempering


Question: A tube filled with water and close at both ends uniformly rotates in a horizontal plane about the $ OO' $ axis. The manometers $A$ and $B$ fixed in the tube distance $ { r }_{ 1 }$ and $ { r }_{ 2 }$ form rotational axis indicate pressure ${ p }_{ 1 }$ and $ { p }_{ 2 }$, respectively. Determine the angular velocity $ \omega $ of rotation of the tube.


Question: Let $A=\left( \begin{matrix} {{{1}}} & {{{-1}}} & {{{1}}} \\ {{{2}}} & {{{4}}} & {{{a}}} \\ {{{-3}}} & {{{-3}}} & {{{5}}} \\ \end{matrix} \right)$ and the eigenvalue of $A$ be $\lambda_{1}=6\ , \lambda_{2, 3}=2$, what is the value of $a$ ?


Question: The task of hydrological statistics is to study () and analyze hydrological stochastic phenomena.

E) Statistical Variation Characteristics


Question: Agricultural and sideline products have always been the most important export commodities in modern China. During the Anti-Japanese War, the three traditional export commodities monopolized by the National Government Trade Commission were tung oil, pig bristles and __.


Question: Among the following product categories, which one may have the attribute eu spare part availability duration?


Question: A primiparous woman, 36 weeks pregnant, has had continuous abdominal pain and slight vaginal bleeding for 4 hours. Physical examination: the uterus is hard like a board, with tenderness (+), fetal position is unclear, fetal heart sounds are not heard; BP is 160/100 mmHg, proteinuria (++). The most appropriate diagnosis for this case is:

D) Severe pre-eclampsia with placental abruption

Choices:
Severe pre-eclampsia with threatened abortion
Severe pre-eclampsia with placental abruption and fetal distress
Severe pre-eclampsia with placental abruption
Severe pre-eclampsia with placental insufficiency and fetal distress
Severe pre-eclampsia with fetal distress
Severe pre-eclampsia with placental insufficiency
Severe pre-eclampsia with placental abruption and threatened uterine rupture


Question: The airplane flies at a high altitude with a speed of 400 m/s, where the temperature T is 228 K and the pressure p is 30.2 kN/m². Now, a scaled-down model, 20 times smaller, is used for a simulation experiment in the wind tunnel. It is known that the air temperature T in the wind tunnel is 288 K, and the dynamic viscosity coefficient $\mu \approx \frac{T^{1.5}}{T+117}$. The pressure in the wind tunnel is ().

Aeronautical and Astronautical Science and Technology


Question: In a mixed solution containing 0.001 mol/kg Zn$SO_{\mathrm{4}}$ and 0.01 mol/kg Cu$SO_{\mathrm{4}}$, two platinum electrodes are placed, and electrolysis is conducted at 25°C with an infinitesimal current while stirring the solution thoroughly. Given that the pH value of the solution is $5_{\circ}$, roughly estimate: What is the remaining concentration of the metal ions that precipitated first when the latter metal begins to deposit?


Question: A wooden block of mass $2 m$ is hung with the help of a light string of length $l$ in the vertical plane.A bullet of mass $\frac { m } { 4 }$ moving horizontally with velocity $v _ { 0 } \left( v _ { 0 } = \sqrt { 5 g l } \right)$ penetrates the block and comes out with velocity $\frac { v _ { 0 } } { 2 }$. The maximum height reached by the block is (Assuming string remains vertical till bullet passes through the block )


Question: Amino acid fermentation include the production strains ( ).


Question: Define the relationship R(A, B, C, D, E), with the functional dependencies as follows: AB → CE, E → AB, C → D. R belongs to the highest level of ___ normal form.


Question: A car is travelling in the x-direction and maintains constant horizontal speed $v$. The car goes over a bump whose shape is described by $\mathrm{y}_{0}=$ A $[1-\displaystyle \cos(\dfrac{\pi \mathrm{x}}{\ell})]$ for $ 0\leq \mathrm{x}\leq 2\ell$.In given Figure, the car is represented as mass $m$ attached to a mass-less spring (of relaxed length $\ell _{o}$ and spring constant $k$). If the motion of center of mass of car while passing over the bump is described by y = B cos $\left ( \dfrac{\pi vt}{\ell} \right )$The expression for B will be (ignore friction and spring is vertical always)


Question:
Evaluate the integral:
$$
I = \int \left(x^3 + 3\right) \cdot \cos(2 \cdot x) \, dx
$$

F) 384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + C

Choices:
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 32\cdot x^2\cdot\cos(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 32\cdot x\cdot\cos(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 32\cdot x^4\cdot\sin(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 32\cdot x\cdot\sin(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) - 32\cdot x^4\cdot\cos(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 64\cdot x^2\cdot\sin(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\cos(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 32\cdot x\cdot\cos(2\cdot x) - 16\cdot x^2\cdot\sin(2\cdot x) + C
384\cdot\sin(2\cdot x)+128\cdot x^3\cdot\sin(2\cdot x)+192\cdot x^2\cdot\cos(2\cdot x)-96\cdot\cos(2\cdot x)-192\cdot x\cdot\sin(2\cdot x) + 32\cdot x^2\cdot\sin(2\cdot x) + C


Question: Which of the following statements about assessing the nature of a neck mass is incorrect?

D) If lymph node enlargement is hard and accompanied by symptoms or signs of mediastinal, thoracic, or abdominal disease, it should be diagnosed as lymph node tuberculosis.

Choices:
A neck mass that is round, smooth, has a cystic feel, and decreases in size with pressure, may be a cystic tumor.
If lymph node enlargement is soft and accompanied by symptoms or signs of mediastinal, thoracic, or abdominal disease, it should be diagnosed as lymph node tuberculosis.
If the neck mass is elastic and there are no systemic symptoms, a cystic lesion should be considered.
If lymph node enlargement is hard and accompanied by symptoms or signs of mediastinal, thoracic, or abdominal disease, it should be diagnosed as lymph node tuberculosis.
In addition to cervical lymphadenopathy, the presence of systemic, painless lymphadenopathy may be seen in hematological diseases.
Lymph node enlargement that is not hard, has slight tenderness, may indicate non-specific lymphadenitis.


Question: For the reaction $2A(g)+B(g)\rightleftharpoons C(g)+D(g); { K }_{ c }={ 10 }^{ 12 }$. If the initial moles of $A,B,C,D$ are $2,1,7,3$ moles respectively in a one litre vessel. What is the equilibrium concentration of $A$?


Question: To launch a planet from Earth at the third cosmic velocity $v_{3}$ directly towards the Sun ("directly towards the Sun" means relative to Earth).What is the trajectory equation ? (assuming Earth's orbit is approximately circular).


Question: The momentum of a particle is $\overrightarrow P  = \overrightarrow A  + \overrightarrow B {t^2}$ where $\overrightarrow A \,$ and $\overrightarrow B $ are constant perpendicular vector. the force acting on the particle when its acceleration makes an angle of $45^0$ with the velocity is

H) $$\left( {2\sqrt {\dfrac{A}{B}} } \right)\overline B $$

Choices:
\left( {2\sqrt {\dfrac{B}{A}} } \right)\overline B
\left( {2\sqrt {\dfrac{A}{B}} } \right)\overline A
\left( {2\sqrt {\dfrac{B}{A}} } \right)\overline B + \overline A
\left( {2\sqrt {\dfrac{B}{A}} } \right)\overline A
\left( {2\sqrt {\dfrac{B}{A}} } \right)\overline A - \overline B
\left( {2\sqrt {\dfrac{B}{A}} } \right)\overline B - \overline A
$$\left( {2\sqrt {\dfrac{A}{B}} } \right)\overline B $$


Question: Rawls proposed to choose the highest ethical principles for government behavior according to ( ).


Question: The precipitate of $Ag_2CrO_4(K_{sp}=1.1\times 10^{-12})$ is obtained when equal volumes of the following are mixed:


Question: What is the estimated angular diameter of your thumb when you extend your arm straight?


Question: Pressure of the gas $\mathrm{NH}$ is $p=10.13 \ \mathrm{MPa}$, temperature $T=633 \mathrm{~K}$. Try to find its density using the generalized compressibility chart and compare it with the density calculated from the ideal gas equation of state.

Power Engineering and Engineering Thermophysics


Question: The impact of water buoyancy and foundation displacement falls under ().


Question: A 2.200-g sample of quinone ($C_6H_4O_2$) is burned in a bomb calorimeter whose total heat capacity is 7.854 kJ/°C. The temperature of the calorimeter increas- es from 23.44 °C to 30.57 C. What is the heat of combus- tion per gram of quinone?


Question: When a cannonball is fired from a cannon, both the cannonball and the cannon experience equal

Choices:
Both amounts of kinetic energy and amounts of heat energy are correct


Question: The rules of baseball state that a batter Legally Completes His Time at Bat when he is put out or becomes a base runner. Which situation below is the best example of a batter Legally Completing His Time at Bat?

I) Jared's blooper over the head of the short-stop puts him in scoring position.

Choices:
Peter's high pop fly lands safely between three confused fielders.
Danny's foul ball gets caught by the catcher ending his chance to advance.
The pitcher throws his famous knuckleball, Joe swings and misses, and the umpire calls a strike.
Kevin's bunt attempt rolls directly back to the waiting catcher.
Billy's hard-hit line drive bounces off the pitcher's protective screen.
The umpire calls a strike, even though the last pitch was way outside.
Tommy's grounder to third base results in him being thrown out.
The count is two balls and two strikes as Mario waits for the next pitch.
Jared's blooper over the head of the short-stop puts him in scoring position.
Mike's sharp hit down the line gets caught by diving first baseman.


Question: We now define an algorithm: The definition of a(n) is the sequence of composite numbers, which are numbers n that can be expressed as the product of two integers x and y, where both x > 1 and y > 1. Given the input x_list (a series of values): [55, 56, 57, 58, 59, 60, 61, 62, 63, 64], determine the corresponding output sequence y_list.


Question: Which sports medicine career assists Sports Therapist and Trainers because they are often times assisting more than one client at a time?

Choices:
Certified Strength and Conditioning Specialist


Question: What are the steps involved in the regeneration process of fibrous tissue?

F) First, fibroblasts divide and proliferate, then synthesize pre-secretory collagen to form collagen fibers, and finally form fibroblasts.

Choices:
Initially, fibroblasts unite and grow, then form pre-secretory collagen to construct collagen fibers, and finally develop fibroblasts.
First, fibroblasts divide and proliferate, next create pre-secretory collagen to build collagen fibers, and finally produce fibroblasts.
Initially, fibroblasts multiply and expand, then produce pre-secretory collagen to weave collagen fibers, and finally generate fibroblasts.
Initially, fibroblasts join and multiply, then build pre-secretory collagen to generate collagen strands, and ultimately create fibroblasts.
Initially, fibroblasts separate and decompose, then construct pre-secretory collagen to weave collagen threads, and ultimately produce connective tissue.
First, fibroblasts divide and proliferate, then synthesize pre-secretory collagen to form collagen fibers, and finally form fibroblasts.
Initially, fibroblasts combine and enlarge, then develop pre-secretory collagen to create collagen threads, and finally generate fibroblasts.
Initially, fibroblasts merge and expand, next produce post-secretory collagen to knit collagen threads, and ultimately create fibroblasts.
First, fibroblasts fuse and multiply, then develop pre-secretory collagen to establish collagen fibers, and finally form fibroblasts.
First, fibroblasts connect and multiply, then synthesize pre-secretory collagen to create collagen fibers, and ultimately form fibroblasts.


Question: In a certain nuclear reactor, the neutron density varies as $n(t) = A_{0} \mathrm{e}^{\omega_{1} t} + A_{1} \mathrm{e}^{\omega_{2} t}$. What is the period of this nuclear reactor?


Question: In disaster management following are practiced except


Question: If $\mathrm { E } _ { 1 }$ is the energy required to raise a satellite to a height h = R (radius of the earth) above the surface of the earth and $\mathrm { E } _ { 2 }$  is the energy required to put it into a circular orbit at that height then the ratio $E _ { 1 / E 2 }$

Aeronautical and Astronautical Science and Technology


Question: What is incorrect about the description of enzyme catalyzed reaction regulation ( ).

D) Enzymatic protein synthesis is a rapid regulation of enzymes

Choices:
Feedback inhibition modifies enzyme proteins quickly
Enzyme proteins can be regulated through conformational changes
Enzyme proteins can be regulated through covalent modification
Enzymatic protein synthesis is a rapid regulation of enzymes
Hormone signaling alters active sites directly
Enzymatic protein synthesis is a slow regulation of enzymes
Protein degradation immediately regulates enzymes
Proenzyme produces active enzymes through activation process
Gene expression changes impact enzyme effectiveness


Question: A single-frequency spherical source radiates a harmonic spherical wave into free space with a power of 10 watts and a frequency of 1000 Hz. The sound pressure amplitude is ().


Question: When checking the impurity limit of a drug, weigh the test sample W(g), measure the volume of the standard solution of the impurity to be examined as V(mL), and the concentration as C(g/mL), then what is the impurity limit of the drug?


Question: A good clustering method will produce high quality clusters with ( ).


Question:
Two metal rods are fixed end to end between two rigid supports, as shown in figure. Each rod is of length $'l'$ and area of cross-section is $A$. When the system is heated up, determine the condition when the junction between rods does not shift ?
[ Given : $Y_1$ and $Y_2$ are Young's modulus of materials of the rods, $lpha_1$ and $lpha_2$ are coefficients of linear expansion.]


Question: An individual paid taxes 27 months ago, but did not file a tax return for that year. Now the individual wants to file a claim for refund of federal income taxes that were paid at that time. The individual must file the claim for refund within which of the following time periods after those taxes were paid?


Question: The objective reason for the formation of poor student character among the following is ___.

Choices:
Lack of correct moral concepts and moral beliefs
Insufficient emotional support from teachers


Question: Three discs $A, B$ and $C$ having radii $2m, 4m$ and $6m$ respectively are coated with carbon black on their outer surface. The wavelengths corresponding to the maximum intensity are $300nm, 400nm$ and $500nm$ respectively. The power radiated by them are ${Q}_{A}, {Q}_{B}$ and ${Q}_{C}$ respectively. Then


Question: The main disadvantages of non-flame atomic absorption method is ( ).

Choices:
Inability to determine non-volatile elements
Inability to directly analyze samples with high viscosity


Question: In order to ensure the bearing capacity of the oil film of the sliding bearing, generally, where should the oil holes and oil grooves be opened on the bearing shell?


Question: Two electrochemical cells are assembled in which following reactions occur.$V^{2+} + VO^{2+} + 2H^+ \rightarrow 2V^{3+} + H_2O;    \quad \quad    E^o_{cell} = 0.616 V$$V^{3+} + Ag + 2H_2O   \rightarrow    VO_2 + 4H^+  + Ag(s) ; E^o_{cell} = 0.439 V$$E^o$ for half reaction, $V^{3+} + e \rightarrow V^{2+}$ is :Given that $E_{Ag^+/ Ag} = 0.799 \space V.$


Question: The ____refers to the allowable harvest amount that ensures the best regenerative capacity of the ecosystem.


Question: A nucleotide is composed of a ___ and a _____ group.


Question: An equation of state due toDietericiis P(V -nb')exp [na' / (RTV)] =nRT(1) Evaluate the constants a' and b' in terms of the critical constants P_c,V_c, andT_cof a gas.


Question: Which of the following is true for ESI act?

I) The State Government's share of expenditure on medical care is 1/8; the ESI Corporation's share of expenditure on medical care is 7/8 of total cost

Choices:
The State Government's share of expenditure on medical care is 1/11; the ESI Corporation's share of expenditure on medical care is 10/11 of total cost
The State Government's share of expenditure on medical care is 1/6; the ESI Corporation's share of expenditure on medical care is 5/6 of total cost
The State Government's share of expenditure on medical care is 1/12; the ESI Corporation's share of expenditure on medical care is 11/12 of total cost
The State Government's share of expenditure on medical care is 1/9; the ESI Corporation's share of expenditure on medical care is 8/9 of total cost
Employee has to contribute 4.75% and employer contributes 8.75%
Person with daily wages of Rs 70 has to contribute Rs 300 towards ESI
The State Government's share of expenditure on medical care is 1/10; the ESI Corporation's share of expenditure on medical care is 9/10 of total cost
The State Government's share of expenditure on medical care is 1/8; the ESI Corporation's share of expenditure on medical care is 7/8 of total cost
The State Government's share of expenditure on medical care is 1/7; the ESI Corporation's share of expenditure on medical care is 6/7 of total cost

Education Economics, Management and Social Security


Question: For a certain integer programming model, solve its relaxation problem to obtain the optimal solution. If one of the components $x_{j}=b_{j}$ is a non-integer and is solved using the branch-and-bound method, the two constraints constructed for this component should be_____.

F) $$
x_{j} \leq \lfloor b_{j} \rfloor
$$
and
$$
x_{j} \geq \lfloor b_{j} \rfloor + 1
$$

Choices:
$$
x_{j} \geq \lceil b_{j} \rceil
$$
and
$$
x_{j} \leq \lceil b_{j} \rceil - 1
$$
$$
x_{j} \geq \lfloor b_{j} \rfloor
$$
and
$$
x_{j} \leq \lfloor b_{j} \rfloor + 2
$$
$$
x_{j} \geq \lfloor b_{j} \rfloor
$$
and
$$
x_{j} \leq \lfloor b_{j} \rfloor + 1
$$
$$
x_{j} = \lfloor b_{j} \rfloor
$$
and
$$
x_{j} = \lfloor b_{j} \rfloor + 1
$$
$$
x_{j} \leq \lceil b_{j} \rceil
$$
and
$$
x_{j} \geq \lceil b_{j} \rceil + 1
$$
$$
x_{j} \leq \lfloor b_{j} \rfloor
$$
and
$$
x_{j} \geq \lfloor b_{j} \rfloor + 1
$$
$$
x_{j} \leq \lceil b_{j} \rceil
$$
and
$$
x_{j} \geq \lceil b_{j} \rceil + 2
$$
$$
x_{j} \leq \lceil b_{j} \rceil - 1
$$
and
$$
x_{j} \geq \lceil b_{j} \rceil
$$
$$
x_{j} \geq \lfloor b_{j} \rfloor - 1
$$
and
$$
x_{j} \leq \lfloor b_{j} \rfloor
$$


Question: Protists have various types of nutrition: holozoic nutrition, photoautotrophic nutrition and __________.


Question: What is meant by a semi-in vivo experiment?

A) In vitro studies performed by removing organ and tissue specimens after overall drug administration

Choices:
In vitro studies performed by removing organ and tissue specimens after overall drug administration
In vitro analysis carried out by documenting external reactions before administering medicine
In vitro tests conducted by isolating cell samples before general drug application
In vitro tests performed by isolating tissue samples before overall drug application
In vivo experiments conducted by removing natural organs for direct observation
In vitro evaluations done by simulating natural tissue reactions after medical exposure
In vitro experiments done by introducing synthetic tissue into live subjects thereafter
In vivo observations made by examining organ responsiveness without synthetic intervention
In vivo assessments conducted by tracking organ functions before pharmaceutical testing
In vivo tests conducted by observing natural organ interactions without drug interference


Question: A wheel graph is formed by adding a new vertex (called the hub) to a cycle and connecting this vertex to each vertex on the cycle with edges (called spokes). Find the expression for the number of spanning trees in a wheel graph with $\boldsymbol{\pi}$ spokes.


Question: Which one of the following methods of soil conservation is most effective in arid areas?


Question: The non-classical MHC class I gene is ( )


Question: Calculate the work done during combustion of $0.138$kg of ethanol, $C_2H_5OH_{(l)}$ at $300$K. [Given: $R=8.314$ $Jk^{-1}$ $mol^{-1}$; molar mass of ethanol $=46$ g $mol^{-1}$.]

Elements of Chemical Reaction Engineering


Question: An ideal gas is expanded adiabatically. If root mean square speed becomes  $\dfrac { 1 } { \sqrt { 2 } }$  times then the percentage change in volume of gas is  $( \gamma = 1.5 ).$


Question: One of the following describes the location of "One-F" disease. Which one is correct?

J) Traumatic ulcers on both sides of the frenulum in infants and young children

Choices:
Small circular ulcers on the inner cheek of adults and seniors
Asymmetrical abrasions on both sides of the frenulum in infants and young people
Symmetrical ulcers in the buccal vestibule of infants and young children
Deep and large ulcers on the hard palate of infants and young children
Deep and large ulcers on the lower lip of elderly patients
Chronic lesions on the dorsal surface of the tongue in teenagers
Pressure ulcers on the lingual margins of elderly patients
Superficial abrasions on the upper lip of elderly patients
Traumatic ulcers on both sides of the frenulum in infants and young children


Question: What is the usual return pipe for the heating system in a building?


Question: What was the design philosophy proposed by the Arts and Crafts Movement?

C) Faithful to the material, form following function, faithful to nature

Choices:
Industrial efficiency, focus on production, neglect of aesthetics
Functional minimalism, streamlined features, embrace of technology
Faithful to the material, form following function, faithful to nature
Emphasis on modernity, sleek designs, use of technology
Expressive ornamentation, decorative embellishments, industrial methods
Adoption of organic forms, simplicity in production, nature-inspired designs
Utilitarian simplicity, utility above aesthetics, return to handcrafting
Integration of technology, minimalism in design, focus on function
Emphasis on minimalism, functionality over form, machine production
Embrace of complexity, ornate designs, mass production techniques


Question: Magnesium ($Mg$) has an $HCP$ crystal structure, a c/a ratio of 1.624, and a density of $1.74 g/cm^{3}$. The atomic radius for Mg.is().


Question: Which microorganism forms a biofilm in liquid culture and, when shaken, the biofilm characteristically sinks in a "stalactite" manner?


Question: The order of crystallization ability from strongest to weakest for PE, PVC, and PVDC is ().


Question: Who is considered the founder of the concept of the paradigm in the philosophy of science within the history and philosophy of science?


Question: Find the minimum value of $y = \frac{ \left(\cos(x)\right)^2 - 4 \cdot \cos(x) + 5 }{ 3 - 2 \cdot \cos(x) }$.


Question: Some plants, after the apical bud elongates into a segment of a branch, experience slowed growth or cease growing altogether. Instead, two lateral buds beneath the apical bud simultaneously elongate into two new branches. The growth activity of the apical buds on the new branches behaves similarly to that of the parent branch, and then another pair of new branches develops from the two lateral buds below. This process continues in succession. What is this branching method called?


Question: Repeat the previous calculation for a supernova having a peak luminosity $1 0^{1 0}$ times that of the Sun. What would be the apparent magnitude of the explosion if it occurred at a distance of 10,000 Mpc?


Question: Find the magnetic energy associated with unit length of an infinitely long straight wire of radius a carrying a current I.

Choices:
Constant for all wire sizes and currents
Dependent on the material of the conductor
Proportional to the square of the current I
Proportional to the inverse square of the current I


Question: During cell division, the structure involved in cell division and capable of replication is ______.


Question: Which of the following may be the reason for the no clinic action when administrated a certain drug for a specific disease or symptom?

F) As the under lying pathophysiology, the drug may take no effect or other spectrum of action in unaffected individuals and the concomitant disease can complicate interpretation of response to drug therapy, especially adverse effects.

Choices:
Given the inherent biochemical processes, the pharmaceutical could exhibit null effects or alternative action scopes in healthy persons, and associated illnesses may obscure the analysis of medicinal responses, particularly negative reactions.
Due to the specific genetic makeup, the medication might not have any visible impact or vary in its influence among different patients, hence complicating the evaluation of drug outcomes and side reactions.
Due to divergent pharmacodynamic characteristics, the remedy may result in no change or differing impacts across patients, thus complicating the assessment of therapeutic effects and adverse responses.
Due to individual immune responses, the drug could present no effect or varied results in diseased persons, and overlapping illnesses might interfere with evaluating medication responses, especially detrimental ones.
Resulting from varied hormonal balances, the drug might not yield any results or different influences on unaffected persons, and concurrent conditions can obscure the reading of drug responses, specifically adverse effects.
As the under lying pathophysiology, the drug may take no effect or other spectrum of action in unaffected individuals and the concomitant disease can complicate interpretation of response to drug therapy, especially adverse effects.
Due to unique biological responses, the drug might lack impact or show divergent effects in healthy patients, and overlapping diseases could blur the assessment of medication impacts, specifically harmful ones.
Arising from unique enzymatic activities, the treatment might show no improvement or differing degrees of effectiveness in certain subjects, and simultaneous disorders could cloud the judgment of drug impacts, particularly negative outcomes.
Given different metabolic rates, the medicine might not manifest any effect or varied levels of efficacy in unafflicted persons, and simultaneous health conditions may impede the analysis of drug effects, particularly harmful ones.
Inherited immune system strength, the medicine might not work or display alternate responses in healthy people, and coexisting ailments could hinder understanding of treatment outcomes, particularly negative reactions.


Question: In which society does the integrative model of public administration exist?

Land Resource Management and Administrative Management


Question:
Various family members disputed the disposition of the family home in a decedent's will. The decedent's eldest son, a citizen of State A, sued the decedent's second wife, a citizen of State B, in federal district court in State A. The district court's jurisdiction was based upon diversity. The family home was located in State A. The son's complaint argued that controlling state law required that the family home go to the son. The son did not name the decedent's daughter to his lawsuit. While the daughter also claimed an interest in the family home, she told both her brother and the decedent's second wife that she did not want to litigate the suit in State A, because she lived across the country in State C. The second wife moved to dismiss the son's lawsuit under Rule 12(b)(7) for failure to join a required party.
Is the district court likely to conclude that the daughter is a necessary party?

A) Yes, because the daughter's ability to protect her interest in the lawsuit will be impaired if the case proceeds in her absence.

Choices:
Yes, because the daughter's ability to protect her interest in the lawsuit will be impaired if the case proceeds in her absence.
Yes, because the second wife objects to proceeding with the lawsuit.
No, because the daughter does not want to join the lawsuit.
No, because the daughter will not consent to the court's personal jurisdiction over her.
Yes, because the daughter claims an interest in the family home.
No, because the daughter's consent is not a factor in jurisdiction.
Yes, because the daughter expressed her disinterest in State A litigation.
No, because the daughter is not physically present in State A.
Yes, because the daughter lives across the country in State C.
No, because the son did not include the daughter in his complaint.


Question:
In a one-dimensional potential $V(x)$, a particle with mass $\mu$ has a wave function given by:
$$
\psi(x, t) = \begin{cases}
\alpha x \mathrm{e}^{-\beta x} \mathrm{e}^{i \gamma t / \hbar}, & x > 0 \\
0, & x < 0
\end{cases}
$$
where $\alpha$, $\beta$, and $\gamma$ are all constants. What is the probability density $\rho(E)$ for the measurement of the total energy $E$ of the particle?

J) $$\rho(E) = \begin{cases} 1, & E = -\gamma \\ 0, & E \neq -\gamma \end{cases}$$

Choices:
$$\rho(E) = \begin{cases} 1, & E = \gamma \\ 0, & E \neq \gamma \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = 0 \\ 0, & E \neq 0 \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = \beta^2 \\ 0, & E \neq \beta^2 \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = \alpha \\ 0, & E \neq \alpha \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = -2\gamma \\ 0, & E \neq -2\gamma \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = \alpha\beta \\ 0, & E \neq \alpha\beta \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = \beta \\ 0, & E \neq \beta \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = \gamma + \beta \\ 0, & E \neq \gamma + \beta \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = \frac{\gamma}{2} \\ 0, & E \neq \frac{\gamma}{2} \end{cases}$$
$$\rho(E) = \begin{cases} 1, & E = -\gamma \\ 0, & E \neq -\gamma \end{cases}$$


Question: The "Record of Music" systematically discusses Confucian thoughts on rites and music, summarizing their functions and interrelations. Which of the following is not a related viewpoint?

E) "All sounds arise from the human heart; the movements of the heart are influenced by external factors."

Choices:
"Harmony is achieved through music, while order is achieved through rites."
"Rites are the guiding principles of behavior, whereas music is the expression of inner emotions."
"When society is chaotic, music brings balance; when society is in harmony, rites maintain stability."
"Emotions are cultivated through music, whereas behavior is regulated through rites."
"All sounds arise from the human heart; the movements of the heart are influenced by external factors."


Question: Block ciphers encrypt ___, while stream ciphers encrypt ____.

A) large blocks of plaintext, a few characters or bits of plaintext

Choices:
large blocks of plaintext, a few characters or bits of plaintext
entire databases of data, individual bytes one at a time
ranges of database information, series of characters or bits
multiple texts simultaneously, single bits sequentially
large segments of data at once, parts of individual characters
chunks of data all at once, bits or characters linearly
sets of text files, each byte individually
collections of textual content, streaming bytes or bits
groups of files together, each byte of data
significant portions of data, sequences of few bits or characters

Information and Communication Engineering


Question: When evaluating literary works, the art standard is used to assess their artistic quality, so what is the criterion for measuring the correctness of their ideological content?


Question: You seek the counsel of one of your peers who designed and implemented a communication program that resulted in the successful permitting of an automotive recycling center, despite strong opposition from community organizations. You have to design a program to win approval for a similar project proposed by your company. Your peer gives you a brief piece of advice that succinctly describes the foundation of his successful program. What is most likely your peer's advice for a successful communication program?


Question: The time function corresponding to the frequency function $cos\omega$ is ( ).

Information and Communication Engineering


Question: The demand curve for factors of production slopes downward to the right because

C) the marginal product of the factor decreases

Choices:
the marginal product of the factor increases
the marginal product of the factor increases at a decreasing rate
the marginal product of the factor decreases
the marginal cost of the factor decreases
the marginal revenue product of the factor decreases
the marginal revenue of the factor decreases
the factor's contribution to production exhibits decreasing returns to scale
the marginal utility of the product produced by the factor decreases
the marginal cost of the factor increases


Question: According to Piaget's theory of the stages of children's psychological development, children between the ages of 2 and 7 are in ___.


Question: At a certain temperature, the heat released by a fiber with a mass of 1g from a certain moisture recovery rate to complete wetting is called ().


Question: What could be the most extreme rainfall referring to?

E) Maximum rainfall within a certain period under modern climatic conditions

Choices:
Abundant rainfall spanning various regions in contemporary times
Heavy rains typically seen during seasonal monsoons
Frequent rainfall events within a standard climatic cycle
Intense storms projected for future climate scenarios
Maximum rainfall within a certain period under modern climatic conditions
The largest storm ever to occur in the basin
Extreme precipitation over an extended geographical area


Question: Who appointed the Chief Justice of India, Kailas Nath Wanchoo, in 1967?


Question: Self-weight stress is distributed in homogeneous soil in ( ) pattern.


Question: The device that should be in the secondary digester in a high rate digester is ____.


Question: Assuming the weights corresponding to the sign values are reduced by 1/10, then the arithmetic mean is ().


Question: The average grade of Cu in a copper deposit is 1%, the content of Pb in the ore reaches 0.2%, and the content of Zn reaches 0.4%. Then lead and zinc can be called what?

Choices:
Because the grade is not high enough, it can neither be called paragenetic minerals nor associated minerals


Question: What is the name of the large sculpture exhibited at Taiwanese artist Li Yuanheng's first solo exhibition?


Question: (Vinyl chloride $\mathbf{M}_{1}$, $r_{1}=1.68;$ vinyl acetate $\mathrm{M}_{2}$, $r_{2}=0.23$). A benzene solution containing 1.5 mol·L$^{-1}$ vinyl chloride and 3.5 mol·L$^{-1}$ vinyl acetate is initiated with 0.1 mol·L$^{-1}$ azobisisobutyronitrile and undergo copolymerization at 60°C. What is the probability of having a vinyl acetate sequence length of 8?


Question: If a vibrating tuning fax of frequency 255 Hz is moving with a velocity 4 m/s perpendicular to a wall. The number of beats produced per sec. is (speed of sound in air = 340 m/s)


Question: What kind of digital image is BSQ?


Question: The instrument is placed on the intersection point $JD_{8}$ of the route. When the left panel is on, the reading of the foresight point $JD_{9}$ is 0°00'24", and the reading of the backsight point $JD_{7}$ is 144°35'18"; when the right panel is on, the reading of the backsight point $JD_{7}$ is 324°35'36", and the reading of the foresight point $JD_{9}$ is 180°01'00". What is the turning angle of the curve? Is it a left turn or a right turn? If the instrument's degree plate does not move, what should the direction of the angle line read when the right panel is on?

D) The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'18" or 252°18'22.5"

Choices:
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'12" or 252°18'16.5"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'20" or 252°18'24.5"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'15" or 252°18'20"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'18" or 252°18'22.5"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'10" or 252°18'14.5"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 250°17'17" or 252°18'22.5"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'16" or 252°18'20.5"
The turning angle is 35°25'15", the left turning angle, and the direction of the angle line reads 250°18'18" or 250°18'22.5"
The turning angle is 35°25'15", the right turning angle, and the direction of the angle line reads 252°18'21" or 252°18'25.5"
The turning angle is 35°25'15", the left turning angle, and the direction of the angle line reads 242°18'18" or 252°18'22.5"

Surveying and Mapping Science and Technology


Question: What is the basis for requiring effective control of training principles?

F) Variability in the Process of Sports Training

Choices:
Constant evaluation in athletic performance
Specificity Required for Specialized Competitions
Long-term adaptation of the human body to biology
Special interactions of different sports
Variability in the Process of Sports Training
Cyclical Changes in Human Athletic Ability
Continuous improvement of physical capacity
Uniformity in the exercise training models
Gradual adjustments in fitness programming


Question: When the chromium content in the water sample exceeds 1mg/L (high concentration), it is best to use the () method to determine its content.

I) Ammonium Iron(II) Sulfate Titration Method

Choices:
Sodium Hydroxide Neutralization Technique
Magnesium Sulfate Flocculation Procedure
Calcium Carbonate Precipitation Strategy
Ammonium Iron(II) Sulfate Titration Method


Question: To determine the crosslink density of vulcanized natural rubber using the equilibrium swelling method, the following experimental data was obtained: the mass of the rubber sample $W_{2} = 2.034 \times 10^{-3} \, \mathrm{kg}$, after being soaked in benzene in a constant temperature water bath at 298 K for $7 \sim 10 \, \mathrm{days}$, reaching swelling equilibrium, and then weighed $W_{2} + \mathbf{W}_{1} = 10.023 \times 10^{-3} \, \mathrm{kg}$. The manual lists the density of benzene at 298 K as $\rho_{\mathrm{l}}=0.868 \times 10^{3} \, \mathrm{kg \cdot m^{-3}}$, molar volume $\widetilde{V}_{1} = 89.3 \times 10^{-6} \, \mathrm{m^{3} \cdot mol^{-1}}$, the density of natural rubber $\rho_{2} = 0.9971 \times 10^{3} \, \mathrm{kg \cdot m^{-3}}$, and the interaction parameter between natural rubber and benzene $\chi_{1} = 0.437$. Using the above data, calculate the average relative molecular mass of the network chain of the crosslinked polymer $( \overline{{{M_{\mathrm{c}}}}} )$.


Question: Principle of Otherness / Interaction Principle: ( )

A) Emphasize observing and reflecting from the perspective of others, thereby interpreting and understanding oneself on a deeper level.

Choices:
Emphasize observing and reflecting from the perspective of others, thereby interpreting and understanding oneself on a deeper level.
Concentrate on speaking and empathizing from the viewpoint of others, thus realizing personal potential.
Advocate for listening and reacting according to personal values, thus achieving self-reliance
Emphasize studying and comprehending from the
Focus on evaluating and modifying one's beliefs to adapt to global standards effectively.
Highlight observing and pondering from the view of others
Develop engaging and analyzing from a standpoint of others, subsequently learning more about oneself.
Stress evaluating and reassessing from the angle of others, thus revealing hidden self aspects.
Prioritize communicating and interacting for mutual growth and problem solving instead.
Advocate for acting and responding based on others' needs, eventually leading to personal independence.


Question: Increased acidophilic granulocytes in peripheral blood are commonly seen in ( )?


Question: Cyclops are intermediate hosts for -

Choices:
Dracunculus medinensis ( intermediate vector )
Dracunculus medinensis ( definitive host )

Health Toxicology and Environmental Health


Question: The non-equilibrium theory believes that the market price does not have sufficient ().


Question: Which opera form of the Enlightenment featured three acts with alternating arias and recitatives with usually six or seven characters?


Question: A ray of light coming along the line 3x + 4y -5 =0 gets reflected from the line ax + by - 1 =0 and goes along the line 5x - 12y - 10 =0, then


Question: The probation period typically granted for individuals sentenced to fixed-term imprisonment is indicated by?

G) Five years above the original sentence, but not less than one year

Choices:
Four years above the original sentence, but not less than one year
Two years below the original sentence, but not less than three months
Four years above the original sentence, but not less than five months
Two years above the original sentence, but not less than two months
One year above the original sentence, but not less than two months
Six years above the original sentence, but not less than one year
Five years above the original sentence, but not less than one year
Three years above the original sentence, but not less than three months
Three years above the original sentence, but not less than one year


Question: Titrate the same concentration of Pb2+ with 0.020 mol/L EDTA in an ammoniacal buffer containing tartrate (A) at pH=10. It is known that lgK(PbY)=18.0, lgY(H)=0.5, lgPb(OH)=2.7, and lgPb(A)=2.8 at the stoichiometric point (Pb2+ forms a 1:1 complex with A). Then at the stoichiometric point lgK'(PbY)=( ), pPb'=( ), pPbA=( ), pPb=( ).


Question: From which day did Shanghai implement the 'Shanghai Prevention of Juvenile Delinquency Regulations' to prevent juvenile delinquency?


Question: A 10 - bar pressure, 12 cm diameter piston can carry the following load?

Power Engineering and Engineering Thermophysics


Question: Analyze the distribution of mechanical loss power in an engine across the following aspects:Friction losses of the piston and piston rings, Friction losses in the entire piston-connecting rod-crankshaft mechanism, Driving losses of the valve mechanism, Driving losses of auxiliary systems, Pumping losses.

C) from 45 to 65, from 60 to 75, from 2 to 3, from 10 to 20, from 10 to 20

Choices:
from 10 to 20, from 60 to 75, from 2 to 3, from 45 to 65, from 10 to 20
from 45 to 65, from 2 to 3, from 10 to 20, from 60 to 75, from 10 to 20
from 45 to 65, from 60 to 75, from 2 to 3, from 10 to 20, from 10 to 20
from 10 to 20, from 60 to 75, from 2 to 3, from 45 to 65, from 45 to 65
from 45 to 65, from 60 to 75, from 10 to 20, from 2 to 3, from 10 to 20

Power Engineering and Engineering Thermophysics


Question: Giving special education during the critical period of development can help them reduce the degree of obstacles and obtain compensatory development of functions by taking advantage of the fact that their brain development has not yet been fully established, which reflects the __ of preschool special children's education.


Question: After cold working, the dislocation density of $\mathrm{Ag}$ is $10^{12} / \mathrm{cm}^{2}$. Assuming that the newly recrystallized nuclei move towards the deformed matrix with a large angle grain boundary, calculate the minimum curvature radius of the grain boundary bowing out is_____. $\mathrm{(Ag, G=30 ~ GPa, b=0.3 ~ nm, \gamma=0.4 ~ J/m^{2})}$.


Question: What cabinet position did Sir Hector-Louis Langevin hold in 1870?

Choices:
Minister of Public Works and Communications
Minister of Public Works and Agriculture
Minister of Public Works and Transportation


Question: When the counting efficiency is 0.3, the counter can accurately record radioactivity that is 30 pulses/min higher than the background. Based on the detectable amount of radioactivity of the isotope $\mathrm{B i^{2 1 2} ( T h C}$), determine the sensitivity of the radiochemical method.


Question: Which is the structure that refers to the same part of the body?


Question: Lin Daiyu in A Dream of Red Mansions moves steadily and slowly, observes things meticulously, is sensitive and suspicious, is lonely and anxious, and experiences deep and lasting emotions. According to Pavlov's theory of types of higher neural activity, what is the type of neural activity of Lin Daiyu?


Question: Increasing the proportional control coefficient of the controller has what impact on the output of the closed-loop system?

B) The bandwidth of the system increases, the system response becomes faster, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.

Choices:
The bandwidth of the system decreases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is harmed. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system increases, the system response becomes faster, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system increases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is unaffected. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system decreases, the system response becomes slower, the overshoot increases, and the steady-state accuracy is unchanged. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system increases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system decreases, the system response becomes slower, the overshoot decreases, and the steady-state accuracy is harmed. Furthermore, the ability to resist high-frequency interference is enhanced.
The bandwidth of the system increases, the system response becomes slower, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system decreases, the system response becomes faster, the overshoot increases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is reduced.
The bandwidth of the system increases, the system response becomes slower, the overshoot decreases, and the steady-state accuracy is unchanged. Furthermore, the ability to resist high-frequency interference is reduced.
The bandwidth of the system decreases, the system response becomes faster, the overshoot decreases, and the steady-state accuracy is improved. However, the ability to resist high-frequency interference is enhanced.


Question: HO - OH(g) \rightarrow 2OH (g) ∆H°_diss= 51 Kcal/mole From this value and the following data calculate: (a) ∆H°_fof OH(g). (b) C-O bond energy; ∆H°_dissin CH_3OH(g). ∆H°_fof H_2O_2(g) = \rule{1em}{1pt} 32.58 Kcal/mole. ∆H°_fof CH_3(g) = 34.0 Kcal/mole. ∆H°_fof CH_3OH(g) = \rule{1em}{1pt} 47.96 Kcal/mole.


Question: Drugs that do not have biological activity themselves and require metabolic activation in the body to become active are ____.


Question: The realization of the initiative of consciousness is constrained by both subjective and objective conditions. What are the conditions that restrict the functioning of the initiative of consciousness?

D) In the process of understanding the world, the active role of human consciousness is constrained by the conditions of cognition, primarily by scientific and technological conditions, and is restricted by the subject's experience, value concepts, and the physiological qualities of the subject.

Choices:
When exploring reality, the operation of human consciousness is impeded by cognitive parameters, mainly through societal and cultural limitations, further influenced by personal experiences, ethical beliefs, and biological features.
In the experience of comprehending reality, human consciousness is hindered by cognitive elements, primarily by political and economic factors, alongside individual's experience, moral ideologies, and biological aspects.
In the exploration of existence, human consciousness's functioning is limited by various societal norms, primarily due to cultural and traditional constraints, as well as individual experiences, value assessments, and physiological features.
In the process of understanding the world, the active role of human consciousness is constrained by the conditions of cognition, primarily by scientific and technological conditions, and is restricted by the subject's experience, value concepts, and the physiological qualities of the subject.
In analyzing the universe, the operation of human consciousness is bounded by cognitive aspects, specifically via historical and political limits, along with individual experiences, principle beliefs, and bodily traits.
In comprehending the world, the active effect of human consciousness is limited by cognition factors, essentially due to technological and scientific constraints, alongside the experiences, value notions, and physiological traits of the individual.
In the quest of perceiving reality, the active influence of human consciousness is confined by educational and information barriers, coupled with the individual's experiences, values perception, and physiological traits.
In examining perceptions of the world, human consciousness is restricted by cognitive restrictions, mainly due to social and cultural barriers, alongside individual experiences, value judgments, and physiological characteristics.
In the journey of knowing the universe, the dynamic function of human consciousness is limited by knowledge conditions, mainly due to academic and informational constraints, as well as the person's experiences, value judgments, and physical attributes.
While interpreting the environment, the functionality of human consciousness is restricted by cognitive components, largely through environmental and ecological constraints, in addition to personal experiences, ethics, and physical characteristics.


Question: All of the following Vibrio species are halophilic except


Question: In certain diatomic molecules, the interaction force (radial force) between atoms $A$ and $B$ and the distance $r$ between their centers is described by the equation $F = -\frac{a}{r^{2}} + \frac{b}{r^{3}}$. When $F$ is positive, it represents a repulsive force; when $F$ is negative, it represents an attractive force. Both $a$ and $b$ are positive constants. Assume that the mass of $A$ is much larger than the mass $m$ of $B$, and in the absence of other external forces, $A$ can be considered approximately stationary in a certain inertial frame of reference. Give the period $T$ of the small oscillations of $B$ around the equilibrium position of the force .


Question: Which ancient structure was referred to as the "House of the Double Axes"?

Choices:
the palace of Minos at Knossos on the island of Crete


Question: Which of the following factor determines the destructive power of bullet after firing?


Question: Find the number of ways to divide the set $\{1,2,3,\dots, 20\}$ into non-empty subsets such that the elements in each subset are consecutive and sum to a multiple of $5$ .


Question: What can be determined by measuring two distances with a steel ruler, the first 1300m long and the second 1500m long, both with a median error of +22mm?

D) The accuracy of the two straight lines is the same.

Choices:
The reliability of both markings is equal.
The correctness of both measurements is disparate.
The consistency of both lengths is unequal.
The accuracy of the two straight lines is the same.
Each line's accuracy is comparatively uniform.
The precision of each measurement is similar.
The precision of the rulers differs distinctly.
The exactitude of each measurement varies considerably.
The two measurements are perfectly precise.
The exactness of both rulers is identical.

Surveying and Mapping Science and Technology


Question: We now define an algorithm: The definition of a(n) is the number of antichains in rooted plane trees with n nodes. Given the input x_list (a series of values): [16, 17, 18, 19, 20, 21, 22, 23, 24, 25], determine the corresponding output sequence y_list.


Question: Regarding the Cramér-Rao Lower Bound (CRLB) for parameter estimation, the correct statement is ________.

H) The variance of any unbiased estimator must be greater than or equal to the Cramer-Rao Lower Bound (CRLB).

Choices:
The variance of any unbiased estimator is precisely the Cramér-Rao Lower Bound (CRLB).
The variance of any unbiased estimator must be less than or equal to the Cramér-Rao Lower Bound (CRLB).
The variance of any unbiased estimator is regularly modified by the Cramer-Rao Lower Bound (CRLB).
The determination of any unbiased estimator is inherently linked to the Cramer-Rao Lower Bound (CRLB).
The greater the Fisher information, the larger the CRLB (Cramér-Rao Lower Bound).
The variance of any biased estimator must be greater than or equal to the Cramer-Rao Lower Bound (CRLB).
The unbiased estimator that achieves the CRLB is called an efficient estimator.
The variance of any unbiased estimator must be greater than or equal to the Cramer-Rao Lower Bound (CRLB).
All unbiased estimators have the same variance.


Question: Which publishing house first published Ani Babu's debut novel 'Narcissus'?


Question: At which university was Seiko Harumi affiliated when she published "The Facilitative Use of Learner-Initiated Translanguaging in Japanese EFL Contexts"?

A) The School of Oriental and African Studies University of London

Choices:
The School of Oriental and African Studies University of London
The University of London, School of Oriental and African Studies, Department of Asian Studies
The University of London, School of Oriental and African Studies, Department of Linguistics
The University of London, School of Oriental and African Studies


Question: Which country does the incomplete skull referred to by Mrs. Luddilver originate from?


Question: The patient, a 48-year-old female, was admitted to the hospital due to neck and shoulder pain, accompanied by symptoms such as limb numbness, muscle weakness, or abnormal gait, and was diagnosed with cervical spondylotic myelopathy. Which of the following is the correct approach to help her recover?


Question: What is the most important factor in determining a person's social status?


Question:
A metal plate of area $1\times { 10 }^{ -4 }{ m }^{ 2 }$ is  illuminated by a radiation of intensity 16 m $W/{ m }^{ 2 }.$ The work function of the metal is 5 eV. The energy of the incident photons is 10 eV and only 10% of it produces photo electrons. The number of emitted photo electrons per second and their maximum energy, respectively, will be :
$$\left[ { 1eV=1.6\times 10^{ 19 }J } \right] $$


Question: Two cyclists set off towards each other simultaneously from points $A$ and $B$. The location where they first meet is $70 \ \mathrm{km}$ from point A. After meeting, they continue to ride at the same speed. Upon reaching points $B$ and $A$, respectively, they turn around and head back to their starting points along the original route. The location where they meet for the second time is $90 \ \mathrm{km}$ from point $B$. Find the distance between points A and $B$.


Question: The phenomenon of frost heave and thaw collapse is easy to occur in ____ frozen soil. The main reason is that the water in the soil ____ to the frozen area.


Question: For an ideal solution of $A$ and $B$ liquid, when $x _ { A } = 0.2 ,$ total vapor pressure over solution was $560 torr$ and partial pressure of $A$ was $80 torr.$ What will be the composition of vapor when $x _ { A } = 0.8 ?$


Question: The statistical results of the number of poplar individuals of different ages in a natural forest showed that the number of seedlings, mature individuals and senescent individuals increased sequentially, indicating that the age structure of the poplar population was as follows


Question: Let $f(x)=\int_{x}^{{{x}^{2}}}{{{e}^{-x{{y}^{2}}}}} \text{d}y$, then ${f}'(y)=$


Question:
In a closed-loop control system, given
$$
G(s) = \frac{K(s + 9)}{s\big(s^{2} + 4s + 11\big)}, \qquad H(s) = 1
$$
what is the corresponding value of the gain $K$?


Question: A projector with a lens of 40 cm focal length illuminates an objectslide 4.0 cm long and throws an image upon a screen 20 m from the lens.What is the size of the projected image?


Question: Given that the piston has a diameter of $d = 0.14 \, \text{m}$ and a length of $l = 0.16 \, \text{m}$. The piston reciprocates within the cylinder with a clearance of $\delta = 0.4 \, \text{mm}$ between the piston and the inner wall of the cylinder, which is filled with a lubricant of viscosity $\mu = 0.1 \, \text{Pa} \cdot \text{s}$. The velocity of the piston's motion is $1.5 \, \text{m/s}$, and the speed of the lubricant in the clearance follows a linear distribution. Calculate the frictional resistance experienced by the piston.


Question: Which of the following descriptions about pitch range is incorrect?

B) Small letter group, small letter one group, and small letter two group belong to the middle pitch range

Choices:
Small letter three group, small letter four group, and small letter five group belong to the high pitch range
Small letter group, small letter one group, and small letter two group belong to the middle pitch range
Capital letter group, capital letter one group, and capital letter two group belong to the low pitch range
Unaccented octave, capital letter group, and small letter one group belong to the middle pitch range


Question: Thermo philus sachari causes ?

Health Toxicology and Environmental Health


Question: Different plant organs have varying sensitivity to auxin concentration; generally speaking, it might be?


Question: Griesinger's sign is seen in -


Question: The width-to-thickness ratio of the steel beam sections that form a composite beam should, in principle, comply with which design criterion for steel structures subjected to bending?

Choices:
Elastic and Plastic and Strain-hardening Design


Question: In July 2003, General Atomics and Northrop Grumman independently developed turbine power arresters; In February 2005, two companies competed and the US military ultimately chose _____ company, which continued to develop turbine electric arresting devices.


Question: Derive the solution y = f(t) to the following IVP. $ty' - 2y = t^5sin(2t) - t^3 + 4t^4$, where $y(\pi) = 3\pi^4/2$. What is y(t) when $t=pi/2$.


Question: Recent optical research has discovered that organic conductors have a plasma frequency of $\omega_{p}=1.30 \times 10^{15} \mathrm{S}^{-1}$, while the electron relaxation time at room temperature is $t=2.83 \times 10^{-16} \mathrm{S}$. Through analysis of the crystal structure and chemical structure, the concentration of conduction electrons is found to be $4.7 \times 10^{21} \mathrm{cm}^{-3}$. Calculate the effective mass of the electron $m$.


Question: A performance of Beethoven's 9th Symphony is an attribute of which of the following FRBR entities().


Question: ______ is used in atomization of metals.


Question: What is disability-free life expectancy?


Question:
The polynomial $P(x, y)$ has integer coefficients, and satisfies the equations:
$$$P(23, 23) - P(23, 16) - P(16, 23) = 83,197,283$$$
$$$P(19, 19) - P(19, 8) - P(8, 19) = 54,730,575$$$
$$$P(17, 17) - P(17, 4) - P(4, 17) = 42,456,749$$$
It is given that $0 \leq P(30, 30) \leq 999$ . Find $P(30, 30)$ .


Question: What is the right atrioventricular valve of birds that is different from mammals?


Question: There are registration forms for 10, 15 and 25 candidates from each of the three regions. The registration forms for boy's are 3, 7 and 5 respectively. Take a random entry form for a region. What is the probability that the first one to be drawn is a boy's table?


Question:
A voltaic cell consist of an electrode of a solid metal 'A' immersed in  a $0.1 \ M \ ANO_3$ solution and an electrode of a solid metal 'B' immersed in a $0.1 \ M \ B(NO_3)_2$ solution. A porous barrier separates the two half cells. Current flows from electrode 'A' to 'B' in the outer circuit. Both electrodes are participating electrodes.
Given: $E^o_{A^+/A}=0.4 \ V; \ E^o_{cell}=0.7 \ V$
What will be the cell emf if in the above cell electrode 'A' is replaced by hydrogen electrode having $pH=1?$ $\left [\cfrac {2.303RT}F=0.06 \ V \right]$, $(P_{H_2}=1 \ bar)$


Question: A battery can be in either a normal state or a failure state, with the probability of being in the normal state as $p.$ Let the electromotive force of a normal battery be 𝝴, and that of a failed battery be 0. There are $N$ batteries connected in series with a resistor. The average power dissipated by the resistor is____.

F) $$
\frac{1} {R} \Big( 1+\frac{1-p} {N p} \Big) ( N p \varepsilon)^{2}
$$

Choices:
$$
\frac{2} {R} \Big( 1+\frac{1-p} {N p} \Big) ( N p \varepsilon)^{2}
$$
$$
\frac{1} {R} \Big( 1+\frac{2-p} {N p} \Big) ( N p \varepsilon)^{2}
$$
$$
\frac{1} {R} \Big( 1-\frac{1-p} {N p} \Big) ( N p \varepsilon)^{2}
$$
$$
\frac{1} {R} \Big( 1+\frac{1-p} {N p} \Big) ( N p \varepsilon)
$$
$$
\frac{1} {R} \Big( 1+\frac{1-p} {N p} \Big) ( N p \varepsilon)^{2}
$$
$$
\frac{1} {R} \Big( 2+\frac{1-p} {N p} \Big) ( N p \varepsilon)^{2}
$$
$$
\frac{1} {R} \Big( 1+\frac{1-p} {N p} \Big) ( N p \varepsilon)^{3}
$$


Question: Calculate $\Delta G^0$ (in kcal/mole) for decomposition of $Cl_2 (g) \rightleftharpoons 2Cl(g)$, if chlorine molecules are 50% dissociated at 1000 k at a pressure of 15 atm at equilibrium (In 20= 2.99)


Question: Brief Introduction to Architectural Features in Ancient Chinese Buildings?


Question: When was the Constitution of 1791 abolished in which war in 1792?


Question:
The dancer performs a cabriole devant, then the legs change and beat again, then change once more before the dancer lands on the leg he or she jumped from, leaving the other leg extended in the air. This describes:
I.	Ailes de pigeon
II.	Air, en l'
III.	Allongé, allongée
IV.	Pistolet
V.	Arabesque


Question: Hydrocortisone injection solvent is ().


Question: Two components operate in parallel in a device, so the device fails when and only when both components fail. The lifetimes, $X_1$ and $X_2$, of the respective components are independent and identically distributed with an exponential distribution with $\theta=2$. The cost of operating the device is $Z=2 Y_1+Y_2$, where $Y_1=\min \left(X_1, X_2\right)$ and $Y_2=\max \left(X_1, X_2\right)$. Compute $E(Z)$.


Question: Concentration of bleaching powder used for disinfection oi urine and faeces is

Health Toxicology and Environmental Health


Question: The Bohr radius of the fifth electron of phosphorous atom (atomic number $= 15)$ acting as a dopant in silicon (relative dielectric constant $= 12)$ is __________ $A^{\circ}$.


Question: At temperature $\theta$, the relative molecular mass of the polymer is determined using the membrane osmotic pressure method. By plotting $\frac{\pi}{R T c}$ against $c$, the slope of the resulting line is obtained is ().


Question: The 30CrMnSiA steel with a hydrogen mass fraction of $w[\mathrm{H}] = 0.8 \times 10^{-3} \%$ (composition: $w[\mathrm{C}] = 0.3\%$, $w[\mathrm{Cr}] = 1\%$, $w[\mathrm{Mn}] = 1\%$, $w[\mathrm{Si}] = 1\%$) is subjected to dehydrogenation treatment under a vacuum of 1 kPa. What is the final amount of hydrogen in the molten steel at a temperature of $1600^\circ\mathrm{C}$?


Question: The normal boiling point of benzene is $80 \mathrm{C}$, $\Delta^{\mathrm{g}} H_{\mathrm{m}}^{\ominus} \approx 30 \mathrm{kJ} \cdot \mathrm{mol}^{-1}$. What is the approximate percentage change in vapor pressure estimated for every 1°C change in temperature over the temperature range near its boiling point?


Question: What is the name of the 10-meter sculpture that William Kentridge created in 2009?


Question: Modern semipermeable membranes can be made by precipitating which compound in the pores of unglazed ceramic?


Question: On what date did the last total lunar eclipse for three years occur?


Question: The controller adds differential action to overcome the ( ) of the controlled object.


I) $2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}-1 \right|-\ln \left| \sqrt{e^x+1}+1 \right|+C$

Choices:
2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1 \right|-\ln \left| \sqrt{e^x+1}-1 \right|+2C
2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1 \right|+\ln \left| \sqrt{e^x+1}-1 \right|+C
2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1 \right|-\ln \left| \sqrt{e^x+1}-1 \right|+C+1
$2\sqrt{e^x+1}-\ln \left| \sqrt{e^x+1}-1
ight|-\ln \left| \sqrt{e^x+1}+1
ight|+C$
2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1 \right|-\ln \left| \sqrt{e^x+1}-1 \right|+C/2
$2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1
ight|-\ln \left| \sqrt{e^x+1}-1
ight|+C$
2\sqrt{e^x+1}-\ln \left| \sqrt{e^x+1}-1 \right|+\ln \left| \sqrt{e^x+1}+1 \right|+C
$-2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1
ight|-\ln \left| \sqrt{e^x+1}-1
ight|+C$
$2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}-1 \right|-\ln \left| \sqrt{e^x+1}+1 \right|+C$
2\sqrt{e^x+1}+\ln \left| \sqrt{e^x+1}+1 \right|-\ln \left| \sqrt{e^x+1}-1 \right|+C+2


Question: On a certain first-class highway, there is a simply supported prestressed concrete beam bridge with a calculated span of 20 meters. The concrete strength grade is C40. The simply supported beam is composed of T-shaped section beams, with a main beam height of 1.25 meters, a beam spacing of 2.25 meters, and a crossbeam spacing of 5.0 meters. The effective height of the main beam section is $h_{0}=1.15 \mathrm{m}$. When calculating according to the ultimate limit state of load-bearing capacity in the permanent condition, the designed shear force at the section of the interior beam support is 800 kN. If the section at the support point of the main beam satisfies the shear section requirements, which of the following numbers is closest to the minimum width of the web (in mm)?


Question:
Which of the following statements about Shinto is false? You need to include all the wrong options.
I. Unlike many other religions, Shinto has no recognised founder. The peoples of ancient Japan had long held animistic beliefs, worshipped divine ancestors and communicated with the spirit world via shamans; some elements of these beliefs were incorporated into the first recognised religion practised in Japan, Shinto, which began during the period of the Yayoi culture (c. 300 BCE - 300 CE).
II. Two chronicles, commissioned by the imperial house (Emperor Temmu), are invaluable sources on Shinto mythology and beliefs. The Kojiki ('Record of Ancient Things') was compiled in 750 CE by the court scholar Ono Yasumaro, who drew on earlier sources, mostly genealogies of powerful clans. Then the Nihon Shoki ('Chronicle of Japan' and also known as the Nihongi), written by a committee of court scholars, came in 749 CE which sought to redress the bias many clans thought the earlier work had given to the Yamato clan.
III. As described below, the Shinto and Buddhist faiths became closely intertwined in ancient Japan, and as a consequence, some Buddhist figures, the bosatsu or 'enlightened beings,' became popular kami with practitioners of Shinto.
IV. As with many other ancient religions, the Shinto gods represent important astrological, geographical, and meteorological phenomena which are ever present and considered to affect daily life.
V. The most important Shinto shrine is the Ise Grand Shrine dedicated to Amaterasu with a secondary shrine to the harvest goddess Toyouke. Beginning in the 8th century CE, a tradition arose of rebuilding exactly the shrine of Amaterasu at Ise every 25 years to preserve its vitality.


Question: How old was Hong Kong social activist Elsie Tu when she married her second husband?


Question: A bullet of mass m moving with velocity  u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown in the figure.Assume that the cylinder rolls without slipping the angular velocity of the cylinder is $\omega$ and the final velocity of the bullet is $v$, then


Question: The black-spotted grouper is a hermaphroditic animal, meaning that all individuals possess both male and female reproductive organs. They always pair up to spawn within two hours before sunset. Spawning occurs multiple times, and during each spawning session, each fish alternates between acting as the male and the female. For example, Fish A releases a portion of its eggs for fertilization by Fish B, then Fish B releases a portion of its eggs for fertilization by Fish A, repeating this process multiple times. During reproduction, this alternation of egg-laying and fertilization falls under which type of altruistic behavior?

Choices:
Environmentally Driven Altruistic Behavior
Altruistic Behavior Guided by Manipulative Actions
Altruistic Behavior in Social Structures


Question:
In an organ pipe whose one end is at $X=0$, the pressure is expressed by
$\displaystyle p=p_{0}\cos{ \dfrac {3 \pi X}{2}} \sin { 300 \pi t}$ where $X$ is in meter and $t$ in sec. The organ pipe can be

D) closed at both ends, length $ = 2\ m$

Choices:
closed at one end, open at another with length $0.5\ m$
closed at one end, open at another with length $\displaystyle= \dfrac {2}{3}\ m$
closed at one end, open at another with length $\displaystyle= \dfrac {5}{3}\ m$
closed at one end, open at another with length $\displaystyle= \dfrac {4}{3}\ m$
closed at one end, open at another with length $\displaystyle= \dfrac{8}{3}\ m$


Question: The concentration of the monomer solution is 0.20 mol/L, and the concentration of the peroxide initiator is $4.0 \times 10^{-3} \, \mathrm{mol/L}$. It is heated to polymerize at 60°C. If the half-life of the initiator is 44 hours, the initiator efficiency $f = 0.8$, $k_{\mathrm{p}} = 145 \mathrm{L / (mol \cdot s)}$, $k_{\mathrm{t}} = 7.0 \times 10^{7} \, \mathrm{L / mol}$, how long is needed to achieve 50% conversion?


Question: What is the main disadvantage of a single universal joint?

B) The driven shaft's angular velocity varies periodically.

Choices:
The driving shaft's rotational velocity stabilizes occasionally.
The driven shaft's angular velocity varies periodically.
The driven shaft's rotation speed stabilizes consistently.
The drive shaft's angular momentum varies redundantly.
The driven shaft's angular momentum changes continuously.
The driver shaft's angular speed varies consistently.
The driving shaft's acceleratory motion fluctuates suddenly.
The drive shaft's angular velocity fluctuates erratically.
The driver shaft's angle remains constant invariably.
The driven shaft's rotational speed fluctuates periodically.


Question:
Evaluate the electron capture rate (18.4.14) numerically for extremely relativistic, degenerate electrons and freely escaping neutrinos is().
$$
\Gamma=\frac{2 \pi} {\hbar} \, \frac{G_{\mathrm{F}}^{2} C_{V}^{2} ( 1 \,+\, 3 a^{2} )} {\left( 2 \pi^{2} \hbar^{3} c^{3} \right)^{2}} I
$$


Question: The pulsar PSR J0437−4715 is located in which constellation?


Question: As the Second Industrial Revolution progresses, what are the biggest changes taking place in the industrial structure of the major capitalist countries?

Choices:
The decline of urbanization and city development
Agriculture overtook industry in economic importance
Great progress has been made in the transportation industry
The rise of small-scale artisanal workshops
The dominance of the mining industry over manufacturing
The textile industry became the primary focus
Communications and chemical industries began to be established
The development of the electric power industry is the most prominent
The resurgence of manual labor over mechanization


Question: In $\triangle{ABC},$ let $P$ be on $AC$ such that $BP$ bisects $\angle{ABC}.$ Similarly, let $Q$ be on $AB$ such that $CQ$ bisects $\angle{ACB}.$ Let $BP$ intersect $CQ$ at $R$ . It is known $APRQ$ can be inscribed in a circle. Given that $AP=23$ and $AQ=13,$ find the square of the length of $AR.$


Question: What is the main movement mode of water particles in surface flow?


Question: Calculate (a) the root-mean-square speed of the molecules of nitrogen under standard conditions, and (b) the kinetic energy of translation of one of these molecules when it is moving with the most probable speed in amaxwelliandistri-bution.


Question: If an additional (111) plane is inserted causing a 1° tilt small-angle grain boundary within $\alpha$-Fe, what is the average dislocation spacing?


Question: A uniform thin cylindrical disc of mass $M$ and radius $R$ is attached to two identical massless spring constant $k$ which are fixed to the wall. The springs are attached to the axle of the disk symmetrically on either side at a distance $d$ from its centre. The axle is massless and both the springs and the axle are in the horizontal plane. The unstretched length of each spring is $L$. The disc is initially at its equilibrium position with its centre of mass $(CM)$ at a distance $L$ from the wall. The disc rolls without slipping with velocity $V_{0} = V_{0}\hat {i}$. The coefficient of friction is $\mu$.The maximum value of $V_{0}$ for which the disc will roll without slipping is :


Question: Which of the following best matches the characteristics of a metastatic tumor in a distant organ?

A) Multiple circular nodules, scattered along the margins of the viscera, can form a "cancer umbilicus."

Choices:
Multiple circular nodules, scattered along the margins of the viscera, can form a "cancer umbilicus."
Numerous square shapes, located around the periphery of the organ, could develop a "malignant perimeter."
Numerous oval masses, aligned near the center of the tissue, possibly create a "tumor core."
Numerous oval shapes, scattered around the edge of the tissue, could form a "malignant border."
A single metastatic lesion forms in a distant organ.
Differentiation degree of the primary tumor
Several flat patches, dispersed throughout the core of the organ, might establish a "malignant center."
Multiple triangular plaques, distributed on the surface of the organ, might form a "cancer halo."
Different from the primary tumor's histological type


Question: What types of polymers have inconsistent repeating units and structural units?

B) Condensate, Copolymers in the class of addition polymers, Addition-condensation reaction products

Choices:
Catalysts, Copolymers in the class of natural polymers, Condensation-polymerization
Condensate, Copolymers in the class of addition polymers, Addition-condensation reaction products
Polymers, Copolymers in the class of addition polymers, Addition-polymerization_reaction_products
Crystals, Terpolymers in the class of condensation polymers, Polymerization-condensation reaction byproducts
Resins, Terpolymers in the class of elastomeric polymers, Addition-polymerization reaction residuals
Initiators, Homopolymers in the class of addition polymers, Addition-condensation reaction residuals
Solvents, Terpolymers in the class of condensation polymers, Condensation-addition reaction products
Binders, Copolymers in the class of thermoplastic polymers, Addition-polymerization
Monomers, Homopolymers in the class of synthetic polymers, Polymerization reaction components
Extracts, Copolymers in the class of biodegradable polymers, Addition-condensation reaction mixtures


Question: The propagation path of waves in various media that satisfies the condition of taking the shortest time is called ___


Question:
Which of the following statements most accurately
summarizes the impact of Brown $v$ . Board of Education (1954)?

C) Almost no progress was made toward the integration of southern schools until passage of the Civil Rights Act of 1964...

Choices:
The decision had an immediate and profound impact, eliminating segregation overnight.
Integration efforts were completed in the southern states by the end of the 1950s.
Almost no progress was made toward the integration of southern schools until passage of the Civil Rights Act of 1964...
The court's decision resulted in immediate equal educational opportunities nationwide.
Federal intervention was unnecessary as local governments rapidly integrated schools.
The ruling led to widespread voluntary school integration across the South by 1955.
Southern schools embraced integration immediately following the ruling in 1954.
The verdict was met with unanimous support, leading to quick compliance nationwide.
Compliance to the Court's order was secured without the need for federal forces.
School districts faced no resistance, allowing smooth implementation of the decision.


Question: Assuming the second-hand home appliance market sells both high-quality and low-quality appliances. If we assume that sellers have more information about quality than buyers, then which of the following statements must necessarily be true?

G) The proportion of high-quality home appliances will be less than the proportion under perfect information.

Choices:
The balance of high-quality home equipment surpasses that found with complete knowledge
The proportion of high-quality home appliances will exceed the proportion under perfect information.
The ratio of high-quality to low-quality equipment is the same as under conditions of perfect information.
The proportion of high-quality gadgets will exceed the proportion under full disclosure.
The proportion of high-quality gadgets is less than the proportion under full transparency.
The proportion of high-quality appliances will be greater than the proportion under perfect information.
The proportion of high-quality home appliances will be less than the proportion under perfect information.
The ratio of high-quality to low-quality appliances stays constant as under ideal transparency.
The ratio of high-quality to low-quality appliances increases as under ideal information.
The balance of high-quality home appliances matches that found with complete disclosure.


Question: If the equation $\frac{dy}{dx} = y^2$ is defined in the strip $-2 < x < 5$, then the interval of existence for its solution passing through the point $(1, -1)$ is ().


Question: In dynamic conditions, the alternating magnetostrictive stress $T=\sigma(B_{\mathrm{0}})B$, reaches its maximum value of $2.0 \times 10^{4}$ dyne/G·cm$^{2}$ for nickel when $B_{\mathrm{0}}=5100$ G. Determine the maximum magnetic induction $B$ that does not exceed the yield strength.


Question: The atmospheric planetary boundary layer can be divided into what three main layers?

A) The advective layer, the near-surface layer, and the Ekman layer.

Choices:
The advective layer, the near-surface layer, and the Ekman layer.
The thermal layer, the mixing layer, and the inversion layer.
The wind layer, the moisture layer, and the radiation layer.
The humid layer, the dry layer, and the neutral layer.
The condensation layer, the absorption layer, and the reflection layer.
The convection layer, the stability layer, and the gradient layer.
The temperature layer, the pressure layer, and the displacement layer.
The transfer layer, the interface layer, and the dynamic layer.
The tropospheric layer, the stratospheric layer, and the mesospheric layer.
The ozone layer, the cloud layer, and the aerosol layer.


Question: The main immune response causing immune damage in Hemorrhagic Fever with Renal Syndrome is?

Choices:
Type II hypersensitivity reaction with immune complex deposition
Type IV hypersensitivity reaction with immune complex deposition
Type III hypersensitivity reaction with immune cell activation
Type II hypersensitivity reaction with immune cell activation
Type III hypersensitivity reaction with immune complex deposition


Question: Biff has infestations of crickets, ants, and moths in his house. He estimates that there are 50 ounces of crickets, 20 ounces of ants, and 15 ounces of moths, and realizes that they must be removed before his girlfriend Muffy arrives in an hour. He could buy cockroaches, a pound of which would cost 48¢ and eat 5 ounces of ants and 3 ounces of moths in an hour. He could also purchase a pound of black widow spiders that would eat 6 ounces of crickets, 3 ounces of ants, and 2 ounces of moths per hour for 73¢. A pound of scorpions would eat 8 ounces of crickets and 4 ounces of ants per hour and would cost Biff 56¢. His final choice is to spend 93¢ for a pound of rough green snakes that would eat 11 ounces of crickets and 1 ounce of moths per hour. Find Biff's optimal solution and the minimum cost.

B) The optimal solution is \( \mathbf{y}^{*} = (0, 120, 10, 0)/16 \) with a minimum cost of \( w^{*} = 582.50 \) cents.

Choices:
The optimal solution is \( \mathbf{y}^{*} = (0, 130, 5, 0)/16 \) with a minimum cost of \( w^{*} = 580.00 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 120, 10, 0)/16 \) with a minimum cost of \( w^{*} = 582.50 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 115, 15, 0)/16 \) with a minimum cost of \( w^{*} = 587.50 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (10, 100, 5, 0)/16 \) with a minimum cost of \( w^{*} = 600.00 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 120, 12, 0)/16 \) with a minimum cost of \( w^{*} = 584.00 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 125, 10, 0)/16 \) with a minimum cost of \( w^{*} = 585.00 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 120, 5, 5)/16 \) with a minimum cost of \( w^{*} = 582.50 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (5, 110, 8, 0)/16 \) with a minimum cost of \( w^{*} = 590.00 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 120, 5, 10)/16 \) with a minimum cost of \( w^{*} = 587.50 \) cents.
The optimal solution is \( \mathbf{y}^{*} = (0, 120, 5, 5)/16 \) with a minimum cost of \( w^{*} = 585.00 \) cents.


Question: The $\mathrm{T_M}$ value of DNA is relatively high. Which of the following groups of nucleotides is the cause of this?


Question: When $0.1\ mol$ arsenic acid, $H_{2}AsO_{4}$ is dissolved in $1L$ buffer solution of $pH = 4$, which of the following hold good? $K_{1} = 2.5\times 10^{-4}, K_{2} = 5\times 10^{4}, K_{3} = 2\times 10^{-23}$ for arsenic acid $['< <'$ sign denotes that the higher concentration is at least $100$ times more than the lower one].


Question: Assuming that at a specific price A, the demand for hot dogs is 50. If the price increases by 5% from A, the demand for hot dogs decreases to 48. Using the midpoint formula to calculate the price elasticity of demand, which of the following statements is correct?

J) The price elasticity of demand for hot dogs in this price range is approximately 0.82.

Choices:
The price elasticity of demand for hot dogs in this price range is approximately 1.50.
The rise in prices will lead to a decrease in the total revenue of hot dog vendors.
The price elasticity of demand for hot dogs in this price range is approximately 0.75.
The price elasticity of demand for hot dogs in this price range is approximately 1.10.
The price elasticity of demand for hot dogs in this price range is approximately 0.90.
The demand elasticity for hot dogs is unitary elastic.
The price elasticity of demand for hot dogs in this price range is approximately 1.22.
The price elasticity of demand for hot dogs in this price range is approximately 0.95.
The price elasticity of demand for hot dogs in this price range is approximately 1.05.
The price elasticity of demand for hot dogs in this price range is approximately 0.82.


Question: The inflection points of the curve ( y = 3{x^4} - 4{x^3} + 1 ) are ( ).


Question: The cause of inbreeding depression is

A) an increase in homozygous sites in individuals, leading to the exposure of recessive harmful genes

Choices:
an increase in homozygous sites in individuals, leading to the exposure of recessive harmful genes
an increase in homozygous sites in individuals, leading to the expression of recessive beneficial genes
the appearance of phenomena affecting reproductive performance
an increase in homozygous sites in individuals, leading to the expression of dominant harmful genes
the generation of new harmful gene mutations
reduced adaptability to the environment during individual development
an increase in heterozygous sites in individuals, leading to the masking of recessive harmful genes
an increase in heterozygous sites in individuals, leading to the exposure of dominant harmful genes
an increase in homozygous sites in individuals, leading to the expression of dominant beneficial genes
an increase in homozygous sites in individuals, leading to the expression of recessive harmful genes


Question: Who was the Prime Minister of Japan during Ok mAbe Jun's tenure as Minister of Finance?


Question: In which dynasty did the "six schools and two schools" appear in the central official school system of Chinese feudal society?

Choices:
Wei, Jin, Southern and Northern Dynasties


Question: Which article of the Geneva Conventions specifically addresses the protection of civilians in times of armed conflict?


Question:
The following operation can be performed on a capacitor:
X connect the capacitor to a battery of emf E.
Y disconnect the battery.
Z reconnect the battery with the polarity reversed.
W insert a dielectric slab in the capacitor.

E) The electric field in the capacitor after the action XW is the same as that after WX.

Choices:
The electric field in the capacitor after the action XW is four times that after WX.
The electric energy stored in the capacitor is greater after the action WXY than after the action XYW.
The electric field in the capacitor after the action XW is one-third that after WX.
The electric field in the capacitor after the action XW is twice that after WX.
The electric field in the capacitor after the action XW is the same as that after WX.
The charge appearing on the capacitor is greater after the action XWY than after the action XYW.
The electric field in the capacitor after the action XW is three times that after WX.
In XYZ (perform X, then Y, then Z) the stored electric energy remains unchanged and no thermal energy is developed
The electric field in the capacitor after the action XW is five times that after WX.
The electric field in the capacitor after the action XW is half that after WX.


Question: Dosage of Albendazole given as per National deworming program in <2years old child.


Question: What are the ways to represent uncertainty?

Choices:
Probability, Fuzzy Logic, Entropy, and Information Theory, but not Certainty
Probability, Fuzzy Logic, Entropy, and Information Theory
Probability, Fuzzy Logic, and Information Theory


Question: When the CREATE INDEX command is used to create an index, FILLFACTOR defines ().


Question: 50 gm ice at -$10^{0}C$ is mixed with 20 gm steam at $100^{0}C$. When the mixture finally reachesd its steady state inside a calorimeter of water equivalent 1.5 gm then:[Assume calorimeter was initially at $0^{0}C$, Take latent heat of vaporization of water =540 cal/gm, Latent heat of fusion of water = 80 cal/gm, specific heat capacity of water =1 cal/gm -$^{0}C$, specific heat capacity of ice = 0.5 cal/ gm $0^{0}C$]


Question: Let the wire bend into a ring shape. What is the radiation resistance of a wire whose source frequency is $f=1 \ \ \mathrm{MHz}$ and whose line length is not equal to 1m?

Electromagnetic Field and Microwave Technology


Question: Determine the loudness level and loudness of a 200 Hz pure tone with a sound intensity level of 50 dB. How many decibels does the sound intensity level need to increase by in order for the loudness of this pure tone to double?


Question: Which of the following is defined as a "concrete" FRBR entity?

Library, Information and Archival Management

Information Management and Communication


Question: In the $\mathrm{p+p \to\ p \pi^{+}+d}$ reaction, high-energy protons from an accelerator hit a stationary proton, producing $\pi^{+}$ and a deuteron. Calculate the kinetic energy $T$ of the incident proton in the laboratory frame, given that the masses of the particles are $m_{\mathrm{p}}=938 \, \mathrm{MeV}/c^{2}$, $m_{\mathrm{d}}=1874 \, \mathrm{MeV}/c^{2}$, and $m_{\pi}=140 \, \mathrm{MeV}/c^{2}$.

I) $$
\approx2 8 6. 1 ( \mathrm{M e V} )
$$

Choices:
$$
\approx2 7 6. 6 ( \mathrm{M e V} )
$$
$$
\approx2 9 8. 3 ( \mathrm{M e V} )
$$
$$
\approx2 6 8. 4 ( \mathrm{M e V} )
$$
$$
\approx2 9 3. 5 ( \mathrm{M e V} )
$$
$$
\approx2 6 2. 1 ( \mathrm{M e V} )
$$
$$
\approx3 0 4. 4 ( \mathrm{M e V} )
$$
$$
\approx3 1 0. 2 ( \mathrm{M e V} )
$$
$$
\approx2 7 2. 9 ( \mathrm{M e V} )
$$
$$
\approx2 8 6. 1 ( \mathrm{M e V} )
$$
$$
\approx2 5 0. 7 ( \mathrm{M e V} )
$$


Question: In what year did Swiss painter Benjamin Samuel Bolomey become a pupil of Joseph-Marie Vien?


Question: What is the zenith distance if the declination of a star is given as 74°32' and the latitude of the observer as 54°21'?


Question: Consider an infinite ladder network shown in the figure. A voltage $V$ is applied between the points $A$ and $B$. This applied value of voltage is halved after each section if:


Question: Different types of conduits exhibit varying degrees of secondary wall thickening. Which of the following arrangements correctly indicates the gradual increase in thickening?

C) Annular Duct · Helical Duct - Stepped Duct, Mesh Duct · Perforated Duct

Choices:
Annular Vessel - Scalariform Vessel · Helical Vessel · Reticulate Vessel - Pitted Vessel
Helical Vessel · Ladder Vessel - Ringed Vessel, Mesh Vessel · Scalariform Vessel
Annular Duct · Helical Duct - Stepped Duct, Mesh Duct · Perforated Duct
Annular Vessel - Spiral Vessel · Reticulate Vessel · Stepped Vessel - Pitted Vessel
Ring-shaped Duct · Reticular Duct - Helical Duct · Perforated Duct · Step Duct
Ringed tracheids - Scalariform tracheids · Reticulate tracheids · Spiral tracheids, Pitted tracheids
Spiral Vessel - Stepped Duct · Pitted Vessel · Mesh Duct · Annular Duct
Scalariform Duct · Reticulate Duct - Helical Duct · Perforated Duct · Spiral Duct
Reticulate Vessel · Helical Vessel - Scalariform Vessel, Pitted Vessel · Ladder Vessel
Reticulate Vessel-Helical Vessel·Scaliform Vessel-Ladder Vessel-Porous Vessel


Question: In one of Turgenev's novels that depicts the conflict between two camps, the representatives of the people's intellectuals and liberals, who represents the intellectuals?


Question: When is the center of the straight river section formed?


Question: When designing general closed gear transmissions, what is the primary effective form targeted for tooth root bending fatigue strength?


Question: On what day, month, and year was the USS *Nina* recommissioned as a torpedo boat?