Question stringlengths 2 3k | label int64 0 1 |
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2. The sum of series $\frac{3 \times 1^{3}}{1^{2}}+\frac{5 \times\left(1^{3}+2^{3}\right)}{1^{2}+2^{2}}$
$+\frac{7 \times\left(1^{3}+2^{3}+3^{3}\right)}{1^{2}+2^{2}+3^{2}}+$
+ upto 10th term, is
(2019 Main, 10 April I)
(a) 680
(b) 600
(c) 660
(d) 620 | 1 |
Why are humans selfish beings? | 0 |
8. The pH of a 0.01 N monobasic acid is 4 . The acid must be
(a) strong
(b) weak | 1 |
19. If $E_{n}$ and $L_{n}$ denote the total energy and the angular momentum of an electron in the $n$th orbit of Bohr atom, then
(a) $E_{n} \propto L_{n}$
(b) $E_{n} \propto \frac{1}{L_{n}}$
(c) $E_{n} \propto L_{n}^{2}$
(d) $E_{n} \propto \frac{1}{L_{n}^{2}}$ | 1 |
23. In the given circuit, a charge of $+80 \mu \mathrm{C}$ is given to the upper plate of the $4 \mu \mathrm{F}$ capacitor. Then in the steady state, the charge on the upper plate of the $3 \mu \mathrm{F}$ capacitor is
(a) $+32 \mu \mathrm{C}$
(b) $+40 \mu \mathrm{C}$
(c) $+48 \mu \mathrm{C}$
(d) $+80 \mu \mathrm... | 1 |
3. Find the asymptotes of the curve $x y-3 y-2 x=0$. | 1 |
What was airline security like before 9/11? | 0 |
22. Find the $20^{\text {th }}$ term of the series $2 \times 4+4 \times 6+6 \times 8+\ldots+n$ terms. | 1 |
Who wrote De Re Aedificatoria? | 0 |
Ex. 33. A solid mixture $(5 \mathrm{~g})$ consisting of lead nitrate and sodium nitrate was heated below $600^{\circ} \mathrm{C}$ until the weight of the residue is constant. If the loss in weight is $28 \%$, find the amount of the lead nitrate and sodium nitrate in the mixture. | 1 |
2.
| Column I: Function | Column II: Type of function |
| :---: | :---: |
| a. $f(x)=\left\{(\operatorname{sgn} x)^{\operatorname{sgn} x}\right\}^{n} ; x \neq 0$ <br> $n$ is an odd integer | p odd function |
| $f(x)=\frac{x}{e^{x}-1}+\frac{x}{2}+1$ | $\boldsymbol{q}$ even function |
| c. $f(x)= \begin{cases}0, & \tex... | 1 |
10. The range of a projectile fired at an angle of 15° is
50 m. If it is fired with the same speed at an angle of
45°, its range will be
(a) 25 m (b) 37 m (c) 50 m (d) 100 m. | 1 |
What is the cheapest, painless, easiest way to commit suicide? | 0 |
11.36 Thermodynamically the most stable form of carbon is
(a) diamond
(b) graphite
(c) fullerenes
(d) coal | 1 |
9.25 Write chemical reactions to justify that hydrogen peroxide can function as an oxidising as well as reducing agent. | 1 |
What discipline makes use of ethnography? | 0 |
22. For the elementary reaction $\boldsymbol{M} \rightarrow \boldsymbol{N}$, the rate of disappearance of $\boldsymbol{M}$ increases by a factor of 8 upon doubling the concentration of $\boldsymbol{M}$. The order of the reaction with respect to $\boldsymbol{M}$ is
(a) 4
(b) 3
(c) 2
(d) 1 | 1 |
These days humanism could be viewed as a form of what? | 0 |
What are the differences between an SD card and a memory card? | 0 |
Is the CPA in India equivalent to a post graduate? | 0 |
Does using wires with a diode, to use latent thermal energy, disprove or defeat the laws of thermodynamics? | 0 |
10. If $a=2$, then the value of $c$ is
a. 1
b. $-\frac{1}{2}$
c. $\frac{1}{2}$
d. $\frac{1}{8}$ | 1 |
How can you transfer money from a debit card to another? | 0 |
(viii) But-1-ene to but-2-ene | 1 |
15. Consider molecules with the formula C10H16
. Which of the following structural features are not possible
within this set of molecules?
(A) 2 triple bonds (B) 1 ring and 1 triple bond
(C) 2 rings and 1 double bond (D) 2 double bonds and 1 ring
(E) 3 double bonds | 1 |
What are some of the claims being pointed towards education inequality? | 0 |
6. Statement 1: $\int \frac{\left\{f(x) \phi^{\prime}(x)-f^{\prime}(x) \phi(x)\right\}}{f(x) \phi(x)}\{\log \phi(x)-\log$
$f(x)\} d x=\frac{1}{2}\left\{\log \frac{\phi(x)}{f(x)}\right\}^{2}+c$.
Statement 2: $\int(h(x))^{n} h^{\prime}(x) d x=\frac{(h(x))^{n+1}}{n+1}+c$. | 1 |
14. The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be $1000 \mathrm{ppb}, 40 \mathrm{ppb}, 100 \mathrm{ppm}$ and $0.2 \mathrm{ppm}$, respectively. This water is unsuitable for drinking due to high concentration of :
(a) Nitrate
(b) Iron
(c) Fluoride
(... | 1 |
When did the Hundred Years' War begin? | 0 |
54. An acidified solution of potassium chromate was layered with an equal volume of amyl alcohol. When it was shaken after the addition of $1 \mathrm{~mL}$ of $3 \% \mathrm{H}_{2} \mathrm{O}_{2}$, a blue alcohol layer was obtained. The blue color is due to the formation of a chromium (VI) compound ' $\mathbf{X}$ '. Wha... | 1 |
What is the retirement age of a politician? Why don't we have that? | 0 |
How important is dopamine when two people fall in love? Is it one of the main chemicals involved with falling in love? | 0 |
Are sociopaths capable of ever really having true feelings for someone else? | 0 |
How do I become a better medical student? | 0 |
- Example 23.6 Electric field inside a conductor is always zero. Is this statement true or false? | 1 |
15. For the resistance network shown in the figure, choose the correct option(s)
(a) The current through $P Q$ is zero.
(b) $I_{1}=3 \mathrm{~A}$
(c) The potential at $S$ is less than that at $Q$.
(d) $I_{2}=2 A$
=4 \sin (20000 \pi t)$ while modulating signal is given by, $m(t)=2 \sin (2000 \pi t)$. The values of modulation index and lower side band frequency are
(a) 0.5 and $10 \mathrm{kHz}$
(b) 0.4 and $10 \mathrm{kHz}$
(c) 0.3 and $9 \mathrm{k... | 1 |
What would be the IUPAC name and symbol for the element with atomic number 120 ? | 1 |
I came to know after 14 years that I am adopted. What should I do? | 0 |
How do Trump supporters contemplate repealing the 19th Amendment without the support of most women? | 0 |
While not illegal, an unholy alliance can be more dangerous to the public than what? | 0 |
How much does US Green Card cost? | 0 |
9. A block of mass m slides down a smooth vertical circular
track. During the motion, the block is in
(a) vertical equilibrium (b) horizontal equilibrium
(c) radial equilibrium (d) none of these. | 1 |
Who are the Kollywood actors owns a business? | 0 |
When did the seizure of Manchuria occur? | 0 |
Is it possible to master the American English language? | 0 |
What are the last two digits in [math]2^{2016}[/math]? | 0 |
What advantages do the terms androphilia and gynephilia have? | 0 |
Is household bleach able to decontaminate all chemical warfare agents? | 0 |
How can I turn off the screen overlay detected on my Samsung Galaxy J7 Prime? | 0 |
29. A helium atom is two times heavier than a hydrogen molecule at 298 K , the average kinetic energy of helium is
(a) two times that of hydrogen molecules
(b) same as that of hydrogen molecules
(c) four times that of hydrogen molecules
(d) half that of hydrogen molecules | 1 |
Mr. Robot (TV series): Does Elliot have schizophrenia? | 0 |
13. If $\left|\begin{array}{ccc}6 i & -3 i & 1 \\ 4 & 3 i & -1 \\ 20 & 3 & i\end{array}\right|=x+i y$, then
(a) $x=3, y=1$
(b) $x=1, y=3$
(c) $x=0, y=3$
(d) $x=0, y=0$ | 1 |
Life: How can I motivate myself for a long time? | 0 |
Who discussed the idea of a collective effervescence? | 0 |
What is the difference between front end and back end development? | 0 |
Example 2.1 Evaluate the left- and right-hand limits of the function $f(x)=\left\{\begin{array}{ll}\frac{|x-4|}{x-4}, & x \neq 4 \\ 0, & x=4\end{array}\right.$ at $x=4$. | 1 |
66. A plot of the number of neutrons $(n)$ against the number of protons $(p)$ of stable nuclei exhibits upward deviation from linearily for atomic number, $Z>20$. For an unstable nucleus having $n / p$ ratio less than 1 , the possible mode(s) of decay is(are),
(a) $\beta^{-}$-decay ( $\beta$-emission)
(b) orbital and ... | 1 |
104. A proton moves along the $x$ axis according to the equation $x=50 t+10 t^{2}$, where $x$ is in meters and $t$ is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at $t=3.0 \mathrm{~s}$, and (c) the instantaneous accelera... | 1 |
2. An acidic buffer is obtained on mixing :
(a) $100 \mathrm{~mL}$ of $0.1 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}$ and $100 \mathrm{~mL}$ of $0.1 \mathrm{M} \mathrm{NaOH}$
(b) $100 \mathrm{~mL}$ of $0.1 \mathrm{M} \mathrm{HCl}$ and $200 \mathrm{~mL}$ of $0.1 \mathrm{M} \mathrm{NaCl}$
(c) $100 \mathrm{~mL}$ of $0.1... | 1 |
52. Consider the following reactions
$\mathrm{A} \xrightarrow[\text { (ii) } \mathrm{H}_{3} \mathrm{O}^{+}]{\text {(i) } \mathrm{CH}_{3} \mathrm{MgBr}} \mathrm{B} \xrightarrow[573 \mathrm{~K}]{\mathrm{Cu}}$ 2-methyl-2-butene
The mass percentage of carbon in $\mathrm{A}$ is__________ | 1 |
3. Amongst the following statements, that which was not proposed by Dalton was:
(a) Chemical reactions involve reorganization of atoms. These are neither created nor destroyed in a chemical reaction.
(b) All the atoms of a given element have identical properties including identical mass. Atoms of different elements... | 1 |
How can I get a job with the Trump Administration? | 0 |
11. For $x^{2} \neq n \pi+1, n \in N$ (the set of natural numbers), the integral
$\int x \sqrt{\frac{2 \sin \left(x^{2}-1\right)-\sin 2\left(x^{2}-1\right)}{2 \sin \left(x^{2}-1\right)+\sin 2\left(x^{2}-1\right)}} d x$ is equal to
(where $C$ is a constant of integration )
(a) $\frac{1}{2} \log _{e}\left|\sec \left(... | 1 |
34. The rate constant of a reaction, $\mathrm{A} \rightarrow$ Product, with initial reactant concentration $a$ mole $/ \mathrm{L}$, is $k \mathrm{~L} / \mathrm{mole} / \mathrm{min}$. The $t_{1 / 2}$ for the reaction is equal to
(a) $\frac{0.6932}{k}$
(b) $\frac{1}{a k}$
(c) $\frac{1}{2 a k}$
(d) $\frac{a}{2 k}$ | 1 |
How much does the repair of a MacBook Pro cost due to liquid damage? | 0 |
24. If two structures of same cross-sectional area, but different numerical apertures $N A_{1}$ and $N A_{2}\left(N A_{2}<N A_{1}\right)$ are joined longitudinally, the numerical aperture of the combined structure is
(a) $\frac{N A_{1} N A_{2}}{N A_{1}+N A_{2}}$
(b) $N A_{1}+N A_{2}$
(c) $N A_{1}$
(d) $N A_{2}$ | 1 |
14. An angle aob made of a conducting wire moves along its bisector through a magnetic field $B$ as suggested by figure (38-W10a). Find the emf induced between the two free ends if the magnetic field is perpendicular to the plane of the angle.
 | 1 |
22. In triangle $A B C$, if $\cos A+\cos B+\cos C=\frac{7}{4}$, then $\frac{R}{r}$ is equal to .
a. $\frac{3}{4}$
b. $\frac{4}{3}$
c. $\frac{2}{3}$
d. $\frac{3}{2}$ | 1 |
9. An electron and a proton are separated by a large distance and the electron approaches the proton with a kinetic energy of $2 \mathrm{eV}$. If the electron is captured by the proton to form a hydrogen atom in the ground state, what wavelength photon would be given off? | 1 |
The open expression of what emotion is generally frowned upon in most cultures? | 0 |
What hotel in Madurai would be safe for unmarried couples, without the harassment of police, hotel staff, and moral police? | 0 |
4. Consider the situation of the previous problem. The force on the central charge due to the shell is
(a) towards left
(b) towards right
(c) upward
(d) zero. | 1 |
28. The ionisation isomer of $\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{4} \mathrm{Cl}\left(\mathrm{NO}_{2}\right)\right] \mathrm{Cl}$ is
(a) $\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{4}\left(\mathrm{O}_{2} \mathrm{~N}\right)\right] \mathrm{Cl}_{2}$
(b) $\left[\mathrm{Cr}\left(\mathrm{H... | 1 |
What race was the majority of Singapore's population? | 0 |
How do YouTube Channels make money? | 0 |
1. A spinning wheel is brought in contact with an identical wheel spinning at identical speed. The wheels slow down under the action of friction. Which of the following energies of the first wheel decrease?
(a) Kinetic
(b) Total
(c) Mechanical
(d) Internal | 1 |
How do I see all the Quora questions I've asked or am following? | 0 |
25. Two particles of masses $1 \mathrm{~kg}$ and $2 \mathrm{~kg}$ are placed at a distance of $3 \mathrm{~m}$. Moment of inertia of the particles about an axis passing through their centre of mass and perpendicular to the line joining them is (in kg-m²).
(a) 6
(b) 9
(c) 8
(d) 12 | 1 |
10. A motorcyle is going on an overbridge of radius $R$. The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it
(a) increases
(b) decreases
(c) remains the same
(d) fluctuates. | 1 |
How do I turn off my curated Facebook news feed? | 0 |
24. Which one of the following compounds has $s p^{2}$ hydridization?
(a) $\mathrm{CO}_{2}$
(b) $\mathrm{SO}_{2}$
(c) $\mathrm{N}_{2} \mathrm{O}$
(d) $\mathrm{CO}$ | 1 |
I am working as a Marketing Manager for an online casino. I would like know how can I create promotions without affecting our affiliates? | 0 |
2. The shortest distance between $L_{1}$ and $L_{2}$ is
a. 0
b. $\frac{17}{\sqrt{3}}$
c. $\frac{41}{5 \sqrt{3}}$
d. $\frac{17}{5 \sqrt{3}}$ | 1 |
What is the term for the energy generated during group gatherings, such as totemic rituals? | 0 |
What does this Chinese word mean on the picture? | 0 |
10. The area bounded by $y=\sec ^{-1} x, y=\operatorname{cosec}^{-1} x$ and line $x-1=0$ is
a. $\log (3+2 \sqrt{2})-\frac{\pi}{2}$ sq. units
b. $\frac{\pi}{2}-\log (3+2 \sqrt{2})$ sq. units
c. $\pi-\log _{e} 3$ sq. units
d. None of these | 1 |
3. In question number-1, if $u=\sqrt{7 g R}$ then
(a) What is the velocity at topmost point?
(b) What is tension at the topmost point?
(c) What is tension at the bottommost point? | 1 |
What do the people of Israel feel about India? | 0 |
5. Two conductors made of the same material have lengths $L$ and $2 L$ but have equal resistances. The two are connected in series in a circuit in which current is flowing. Which of the following is/are correct?
(a) The potential difference across the two conductors is the same
(b) The drift speed is larger in the co... | 1 |
3. A tuning fork is placed near a vibrating stretched wire. A boy standing near the two hears a beat frequency $f$. It is known that frequency of tuning fork is greater than frequency of stretched wire. Match the following two columns.
| Column I | Column II |
| :--- | :--- |
| (a) If tuning fork is loaded with wax, |... | 1 |
Is the cross product of (AB x (AB x OC)) equal to OC, where AB, and OC are non-parallel vectors? | 0 |
3. Column I gives three physical quantities. Select the appropriate units for the choices given in Column II. Some of the physical quantities may have more than one choice.
| Column I | Column II |
| :--- | :--- |
| (a) Capacitance | (p) ohm-second |
| (b) Inductance | (q) coulomb-joule-1 |
| (c) Magnetic induction | (... | 1 |
How can we improve India's current education system? | 0 |
Is the USA heading towards civil war? | 0 |
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