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33. If $n$ is an integer between 0 and 21 , then the minimum value of $n!(21-n)!$ is attained for $n=$
a. 1
b. 10
c. 12
d. 20 | 1 |
22. Smoke is an example of :
(a) Solid dispersed in solid (b) Gas dispersed in liquid
(c) Solid dispersed in gas
(d) Gas dispersed in solid | 1 |
What are the differences between someone who makes $100,000/year and someone who makes $30,000? | 0 |
- Example 3 The electric potential between a proton and an electron is given by $V=V_{0} \ln \frac{r}{r_{0}}$, where $r_{0}$ is a constant. Assuming Bohr model to be applicable, write variation of $r_{n}$ with $n$, being the principal quantum number.
(a) $r_{n} \propto n$
(b) $r_{n} \propto \frac{1}{n}$
(c) $r_{n} \p... | 1 |
(b)https://cdn.pureessence.tech/1f1586f9-74f7-4c89-933d-146b31e65681.png.png | 1 |
What is almost half of DEI's power output generated by the use of? | 0 |
18. If a symmetrical bi-concave thin lens is cut into two identical halves, and they are placed in different ways as shown, then
(i)
 $\mathrm{SrSO}_4$
(b) $\mathrm{CaSO}_4 \cdot K_{\... | 1 |
8. Let $p=\lim _{x \rightarrow 0^{+}}\left(1+\tan ^{2} \sqrt{x}\right)^{1 / 2 x}$, then $\log p$ is equal to
(a) 2
(b) 1
(c) $\frac{1}{2}$
(d) $\frac{1}{4}$
(2016 Main) | 1 |
Why haven't countries other than the USA sent a man to the Moon? | 0 |
Where can I watch The Last: Naruto the Movie online english dubbed? | 0 |
What is your all-time favorite music album? | 0 |
Do women prefer hard working men or smart working men? | 0 |
- 26. What is the magnitude of the electrostatic force between a singly charged sodium ion $\left(\mathrm{Na}^{+}\right.$, of charge $\left.+e\right)$ and an adjacent singly charged chlorine ion $\left(\mathrm{Cl}^{-}\right.$, of charge $\left.-e\right)$ in a salt crystal if their separation is $2.82 \times 10^{-10} \m... | 1 |
5. When the determinant $\left|\begin{array}{lll}\cos 2 x & \sin ^{2} x & \cos 4 x \\ \sin ^{2} x & \cos 2 x & \cos ^{2} x \\ \cos 4 x & \cos ^{2} x & \cos 2 x\end{array}\right|$ is expanded in powers of $\sin x$, then the constant term in that expression is
a. 1
b. 0
c. -1
d. 2 | 1 |
4. In a nucleophilic substitution reaction:
$$
\mathrm{R}-\mathrm{Br}+\mathrm{Cl}^{-} \xrightarrow{\mathrm{DMF}} \mathrm{R}-\mathrm{Cl}+\mathrm{Br}^{-}
$$
which one of the following undergoes complete inversion of configuration?
(a) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CHC}_{6} \mathrm{H}_{5} \mathrm{Br}$
(b) $... | 1 |
Why do people keep windshield wipers raised when their cars are parked? | 0 |
14. A horizontal tube of uniform cross-sectional area $A$ is bent in the form of $U$ as shown in figure. If the liquid of density $\rho$ enters and leaves the tube with velocity $v$, then the external force $F$ required to hold the bend stationary is
 $\mathrm{A}^{4}=4 \mathrm{~A}-3 \mathrm{I}$
(b) $\mathrm{A}^{5}=5 \mathrm{~A}-4 \mathrm{I}$
(c) $\mathrm{A}^{4}=3 \mathrm{~A}-4 \mathrm{I}$
(d) $\mathrm{A}^{5}=5 \mathrm{~A}-3 \mathrm{I}$ | 1 |
What are the best coaching institutes for the CAT in Hyderabad? | 0 |
Daniel Ek: What are the hardships for Spotify to be launched in India? | 0 |
If God agrees to answer any one of your questions with truth, what would you ask? | 0 |
10. A uniform rod is kept vertically on a horizontal smooth surface at a point $O$. If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain
(a) at $O$
(b) at a distance less than $l / 2$ from $O$
(c) at a distance $l / 2$ from $O$
(d) at a distance larger than $l / 2$ ... | 1 |
What is the measure that it publishes that involves polling to determine the public's take on how corrupt various countries are? | 0 |
34. Find the acceleration of the blocks $A$ and $B$ in the three situations shown in figure (5-E17).
(a)
 $\mathrm{O}_{3}$ and $\mathrm{CO}_{2}$
(b) $\mathrm{CO}_{2}$ and $\mathrm{NO}_{2}$
(c) $\mathrm{SO}_{2}$ and $\mathrm{NO}_{2}$
(d) $\mathrm{SO}_{2}$ and $\mathrm{O}_{3}$ | 1 |
75. The value of $\lim _{|x| \rightarrow \infty} \cos \left(\tan ^{-1}\left(\sin \left(\tan ^{-1} x\right)\right)\right)$ is equal to
a. -1
b $\sqrt{2}$
c. $-\frac{1}{\sqrt{2}}$
d $\frac{1}{\sqrt{2}}$ | 1 |
Over approximately what expanse of time can textual criticism be applied to written works? | 0 |
What are some Android games that use real gun names? | 0 |
Who discovered Australia in 1606? | 0 |
How does Gohan turn into Super Saiyan 2? | 0 |
What organization holds the TSD Rally? | 0 |
How does digestion occur in our body? | 0 |
22. A charge $Q$ is placed at each of the two opposite corners of a square. A charge $q$ is placed at each of the other two corners. If the resultant force on each charge $q$ is zero, then
(a) $q=\sqrt{2} Q$
(b) $q=-\sqrt{2} Q$
(c) $q=2 \sqrt{2} Q$
(d) $q=-2 \sqrt{2} Q$ | 1 |
15. If $[\alpha]+[\beta]+[\gamma]=8$, then the values of $c$, where $[\cdot]$ represents the greatest integer function, are
a. $(-20,-16)$
b. $(-20,-18)$
c. $(-18,-16)$
d. None of these | 1 |
(A) 8 (B) 9 (C) 10 (D) 12 | 1 |
What is the secrets of being likable and a popular person? | 0 |
49. Hydrogen bonding plays a central role in the following phenomena
(a) Ice floats in water
(b) Higher Lewis basicity of primary amines than tertiary amines in aqueous solutions
(c) Formic acid is more acidic than acetic acid
(d) Dimerisation of acetic acid in benzene | 1 |
13. Two nonideal batteries are connected in parallel. Consider the following statements:
(A) The equivalent emf is smaller than either of the two emfs.
(B) The equivalent internal resistance is smaller than either of the two internal resistances. (a) Both $A$ and $B$ are correct.
(b) $A$ is correct but $B$ is wrong.... | 1 |
What happened to the Indian Army? | 0 |
2. Let $P\left(x_{1}, y_{1}\right)$ and $Q\left(x_{2}, y_{2}\right), y_{1}<0, y_{2}<0$, be the end points of the latus rectum of the ellipse $x^{2}+4 y^{2}=4$. The equations of parabolas with latus rectum $P Q$ are
a. $x^{2}+2 \sqrt{3} y=3+\sqrt{3}$
b. $x^{2}-2 \sqrt{3} y=3+\sqrt{3}$
c. $x^{2}+2 \sqrt{3} y=3-\sqrt{3}$
... | 1 |
53. Based on the compounds of group 15 elements, the correct statement(s) is (are)
(a) $\mathrm{Bi}_{2} \mathrm{O}_{5}$ is more basic than $\mathrm{N}_{2} \mathrm{O}_{5}$
(b) $\mathrm{NF}_{3}$ is more covalent than $\mathrm{BiF}_{3}$
(c) $\mathrm{PH}_{3}$ boils at lower temperature than $\mathrm{NH}_{3}$
(d) The N... | 1 |
What event pushed Hyderabad to the top of India's cultural centres? | 0 |
8. In figure, $E_{1}=12 \mathrm{~V}$ and $E_{2}=8 \mathrm{~V}$.
(a) What is the direction of the current in the resistor?
(b) Which battery is doing positive work?
(c) Which point, $A$ or $B$, is at the higher potent... | 1 |
How would you decribe the taste of water to a person who has never tried it before? | 0 |
What is the salary of Narendra Modi as PM of India? | 0 |
Why are there multiple variations of texts before the advent of the printing press? | 0 |
When you have nothing to say, then what do you have to say? | 0 |
What can the Bitcoin blockchain do that a Raid5 system distributed across different geographies and legal entities could not? | 0 |
56. The equation of the plane which passes through the line of intersection of planes $\vec{r} \cdot \overrightarrow{n_{1}}=q_{1}, \vec{r} \cdot \overrightarrow{n_{2}}$ $=q_{2}$ and is parallel to the line of intersection of planes $\vec{r} \cdot \overrightarrow{n_{3}}=q_{3}$ and $\vec{r} \cdot \overrightarrow{n_{4}}=q... | 1 |
97. The sum of $0.2+0.004+0.00006+0.0000008+\cdots$ to $\infty$ is
a. $\frac{200}{891}$
b. $\frac{2000}{9801}$
c. $\frac{1000}{9801}$
d. none of these | 1 |
How can I become a YouTuber? | 0 |
(iii) $\mathrm{A} \cap \mathrm{A}^{\prime}=\ldots$ | 1 |
How did St. Anselm define the existence of God? | 0 |
21. Let $a \neq 0$ and $p(x)$ be a polynomial of degree greater than 2 . If $p(x)$ leaves remainders $a$ and $-a$ when divided respectively by $x$ $+a$ and $x-a$, the remainder when $p(x)$ is divided by $x^{2}-a^{2}$ is
a. $2 x$
b. $-2 x$
c. $x$
d. $-x$ | 1 |
97. The shortest distance between the parabola $2 y^{2}=2 x-1$, $2 x^{2}=2 y-1$ is
a. $2 \sqrt{2}$
b. $\frac{1}{2 \sqrt{2}}$
c. 4
d. $\sqrt{\frac{36}{5}}$ | 1 |
7. Two identical particles 1 and 2 are projected from surface of earth with same velocities in the directions shown in figure.
(a) Both the particles will stop momentarily (before striking... | 1 |
Does swimming increase your height in twenties? | 0 |
7. The sequence $S_{0}, S_{1}, S_{2}, \ldots$, forms a G.P. with common ratio
a. $\frac{e^{\pi}}{2}$
b. $e^{-\pi}$
c. $e^{\pi}$
d. $\frac{e^{-\pi}}{2}$ | 1 |
How many deaths did the Soviet Union suffer in the war? | 0 |
35. For the reaction :
$$
\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})
$$
the equilibrium constant $K_{p}$ changes with
(a) total pressure
(b) catalyst
(c) the amounts of $\mathrm{H}_{2}$ and $\mathrm{I}_{2}$ present
(d) temperature | 1 |
15. Which of the following combination will produce $\mathrm{H}_{2}$ gas?
(a) Fe metal and conc. $\mathrm{HNO}_{3}$
(b) $\mathrm{Cu}$ metal and conc. $\mathrm{HNO}_{3}$
(c) $\mathrm{Zn}$ metal and $\mathrm{NaOH}(\mathrm{aq})$
(d) Au metal and $\mathrm{NaCN}(\mathrm{aq})$ in the presence of air | 1 |
4.170. Find the number of possible natural oscillations of air column in a pipe whose frequencies lie below $v_{0}=1250 \mathrm{~Hz}$. The length of the pipe is $l=85 \mathrm{~cm}$. The velocity of sound is $v=340 \mathrm{~m} / \mathrm{s}$. Consider the two cases:
(a) the pipe is closed from one end;
(b) the pipe is ... | 1 |
How do I solve the problem 10 in the picture? | 0 |
6. The rate law for the reaction
$$
\mathrm{RCl}+\mathrm{NaOH}(\mathrm{aq}) \rightarrow \mathrm{ROH}+\mathrm{NaCl}
$$
is given by rate $=k_{1}[\mathrm{RCl}]$, the rate of reaction will be
(a) doubled on doubling the concentration of NaOH
(b) halved on reducing the concentration of RCl to one-half
(c) increased on inc... | 1 |
11. The circuit shown below contains two ideal diodes, each with a forward resistance of $50 \Omega$. If the battery voltage is $6 \mathrm{~V}$, the current through the $100 \Omega$ resistance (in ampere) is
$
(a) the $3 \Omega$ resistor is $0.50 \mathrm{~A}$
(b) the $3 \Omega$ resistor is $0.25 \mathrm{~A}$
(c)... | 1 |
How are the results simplified when using the SASO? | 0 |
1. The domain of the definition of the function
$$
f(x)=\frac{1}{4-x^{2}}+\log _{10}\left(x^{3}-x\right) \text { is }
$$
(2019 Main, 9 April II)
(a) $(-1,0) \cup(1,2) \cup(3, \infty)$
(b) $(-2,-1) \cup(-1,0) \cup(2, \infty)$
(c) $(-1,0) \cup(1,2) \cup(2, \infty)$
(d) $(1,2) \cup(2, \infty)$ | 1 |
15. A square has one vertex at the vertex of the parabola $y^{2}=4 a x$ and the diagonal through the vertex lies along the axis of the parabola. If the ends of the other diagonal lie on the parabola, the coordinates of the vertices of the square are
(a) $(4 a, 4 a)$
(b) $(4 a,-4 a)$
(c) $(0,0)$
(d) $(8 a, 0)$ | 1 |
20. Match gases under specified conditions listed in Column I with their properties/laws in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.
| column I | column II ... | 1 |
Where do the federal courts fall? | 0 |
Why did Chinese philosophy begin to mix with western concepts? | 0 |
Can I dye red hair dye over fading green hair? | 0 |
6. The increasing order of the $\mathrm{p} K_{\mathrm{a}}$ values of the following compounds is:
(a) C $<$ B $<$ A $<$ D
(b) B $<$ C $<$ D $<$ A
(c) D $<$ A $<$ C $<$ B
(d) B $<$ C $<$ A $<$ D | 1 |
What is a manifold in layman's terms? | 0 |
24. The pH of a buffer solution of $0.1 \mathrm{M} \mathrm{NH}_4 \mathrm{OH}$ and $0 \cdot 1 \mathrm{M} \mathrm{NH}_4 \mathrm{Cl}$ is $\left(\mathrm{p} K_{\mathrm{b}}=4 \cdot 0\right)$
(a) 1
(b) 4
(c) 10
(d) 13 | 1 |
4. de-Broglie wavelength of the fastest moving photoelectron is
(a) $6.63 \AA$
(b) $8.69 \AA$
(c) $2 \AA$
(d) $5.26 \AA$ | 1 |
3. What is the IUPAC name of the following compound?
(A) 5-chloro-2-hydroxy-4-oxohepta-2,5-dienoic acid
(B) 2-hydroxy-4-oxo-5-chlorohepta-2,5-dienoic acid
(C) 3-chloro-6-hydroxy-4-oxohepta-2... | 1 |
Has anyone overcome depression by themselves without external help? | 0 |
How can I build a voice-recognition system using Raspberry Pi in a beginner level? | 0 |
87 SSM During a test, a NATO surveillance radar system, operating at 12 GHz at 180 kW of power, attempts to detect an incoming stealth aircraft at 90 km . Assume that the radar beam is emitted uniformly over a hemisphere. (a) What is the intensity of the beam when the beam reaches the aircraft's location? The aircraft ... | 1 |
Where can I buy discounted Amazon gift cards? | 0 |
32. A container of volume $50 \mathrm{cc}$ contains air (mean molecular weight $=28.8 \mathrm{~g}$ ) and is open to atmosphere where the pressure is $100 \mathrm{kPa}$. The container is kept in a bath containing melting ice $\left(0^{\circ} \mathrm{C}\right)$. | 1 |
6. A tangent to the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ cuts the ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ at $P$ and $Q$. Show that the locus of the midpoint of $P Q$ is $\left(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}\right)^{2}=\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}$. | 1 |
What was one of the main concerns of this literature on how schooling and earnings? | 0 |
33. A torsional pendulum consists of a solid disc connected to a thin wire $\left(\alpha=2.4 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right)$ at its centre. Find the percentage change in the time period between peak winter $\left(5^{\circ} \mathrm{C}\right)$ and peak summer $\left(45^{\circ} \mathrm{C}\right)$. | 1 |
1. If $4 \sin ^{4} x+\cos ^{4} x=1$, then $x$ is equal to $(n \in Z)$
a. $n \pi$
b. $n \pi \pm \sin ^{-1} \sqrt{\frac{2}{5}}$
c. $\frac{2 n \pi}{3}$
d. $2 n \pi \pm \frac{\pi}{4}$ | 1 |
2.10 Boiling point of water at 750 mm Hg is $99.63^{\circ} \mathrm{C}$. How much sucrose is to be added to 500 g of water such that it boils at $100^{\circ} \mathrm{C}$. | 1 |
What are the best hashtags to use as a photographer on instagram? | 0 |
How do you call a website like Youtube? | 0 |
Do you think that if you complete bootcamp in USMC, you can pass Navy Seal training? | 0 |
76. $\sin ^{-1}\left(3 x-2-x^{2}\right)+\cos ^{-1}\left(x^{2}-4 x+3\right)=\frac{\pi}{4}$ can have a solution for $x \in$
a. $[1,2]$
$\mathbf{b}\left(\frac{3+\sqrt{5}}{2}, 2+\sqrt{2}\right)$
c. $\left(\frac{3-\sqrt{5}}{2}, 2-\sqrt{2}\right)$
d. none of these | 1 |
47. The geometry of $\mathrm{Ni}(\mathrm{CO})_{4}$ and $\mathrm{Ni}\left(\mathrm{PPh}_{3}\right)_{2} \mathrm{Cl}_{2}$ are
(a) both square planar
[1999 - 2 Marks]
(b) tetrahedral and square planar, respectively
(c) both tetrahedral
(d) square planar and tetrahedral, respectively | 1 |
45. The current generator $I_{g}$, shown in figure (38-E19), sends a constant current $i$ through the circuit. The wire $c d$ is fixed and $a b$ is made to slide on the smooth, thick rails with a constant velocity $v$ towards right. Each of these wires has resistance $r$. Find the current through the wire $c d$. ![](ht... | 1 |
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