Question stringlengths 2 3k | label int64 0 1 |
|---|---|
How can I remember what I've read? | 0 |
What are the pros and cons of a pop-up tent camper? | 0 |
11. The number of atoms present in 16 g of oxygen is
(a) $6.02 \times 10^{11.5}$
(b) $3.01 \times 10^{23}$
(c) $3.01 \times 10^{11.5}$
(d) $6.02 \times 10^{23}$ | 1 |
What system in the body controls heart rate? | 0 |
Who measured the mass of earth? | 0 |
27. A tin chloride $Q$ undergoes the following reactions (not balanced) [Adv. 2019]
$$
\begin{aligned}
& Q+\mathrm{Cl}^{-} \rightarrow X \\
& Q+\mathrm{Me}_{3} \mathrm{~N} \rightarrow Y \\
& Q+\mathrm{CuCl}_{2} \rightarrow Z+\mathrm{CuCl}
\end{aligned}
$$
$X$ is a mono anion having pyramidal geometry. Both $Y$ and $Z... | 1 |
1 Let $z \in C$ with $\operatorname{Im}(z)=10$ and it satisfies $\frac{2 z-n}{2 z+n}=2 i-1$ for some natural number $n$, then (2019 Main, 12 April II)
(a) $n=20$ and $\operatorname{Re}(z)=-10$
(b) $n=40$ and $\operatorname{Re}(z)=10$
(c) $n=40$ and $\operatorname{Re}(z)=-10$
(d) $n=20$ and $\operatorname{Re}(z)=10$ | 1 |
What are the different ways of earning money as a college student in India? | 0 |
11. An object $O$ is just about to strike a perfectly reflecting inclined plane of inclination $37^{\circ}$. Its velocity is $5 \mathrm{~m} / \mathrm{s}$. Find the velocity of its image.
(a... | 1 |
7. If kinetic energy of a body is increasing then
(a) work done by conservative forces must be positive
(b) work done by conservative forces may be positive
(c) work done by conservative forces may be zero
(d) work done by non-conservative forces may be zero | 1 |
Is religion important to you? Why? | 0 |
Modern courts often cite which period in history cases when discussing changes in law? | 0 |
16. Let $\theta$ denote the angular displacement of a simple pendulum oscillating in a vertical plane. If the mass of the bob is $m$, the tension in the string is $m g \cos \theta$
(a) always
(b) never
(c) at the extreme positions
(d) at the mean position. | 1 |
13. The length of the longest interval in which the function $3 \sin x-4 \sin ^{3} x$ is increasing is
a. $\frac{\pi}{3}$
b. $\frac{\pi}{2}$
c. $\frac{3 \pi}{2}$
d $\pi$ | 1 |
7. Area bounded by $y=\frac{1}{x^{2}-2 x+2}$ and $x$-axis is
a. $2 \pi$ sq. units
b. $\frac{\pi}{2}$ sq. units
c. 2 sq. units
d $\pi$ sq. units | 1 |
107. Five different marbles are placed in 5 different boxes randomly. Then the probability that exactly two boxes remain empty is (each box can hold any number of marbles)
a. $2 / 5$
b. $12 / 25$
c. $3 / 5$
d. none of these | 1 |
How can I tour Iran on a budget from India? | 0 |
9. A coin placed on a rotating turntable just slips if it is placed at a distance of $4 \mathrm{~cm}$ from the centre. If the angular velocity of the turntable is doubled, it will just slip at a distance of
(a) $1 \mathrm{~cm}$
(b) $2 \mathrm{~cm}$
(c) $4 \mathrm{~cm}$
(d) $8 \mathrm{~cm}$. | 1 |
What type of cells have a huge role in brain metabolism? | 0 |
8. A vector A points vertically upward and B points towards north. The vector product $\mathbf{A} \times \mathbf{B}$ is
(a) along west
(b) along east
(c) zero
(d) vertically downward | 1 |
If nothing is impossible, then isn't the impossible possible? | 0 |
22. 0.2 molal acid $\mathrm{H} X$ is $20 \%$ ionised in solution. $K_{f}=1.86 \mathrm{~K} \mathrm{molality}^{-1}$. The freezing point of the solution is :
(a) -0.45
(b) -0.90
(c) -0.31
(d) -0.53 | 1 |
What is the last thing you would like to do before you die? | 0 |
1. The equation of line $L$ is
a. $x+4 y+7=0$
b. $2 x+3 y+4=0$
c. $4 x-y-6=0$
d. none of these | 1 |
Example 3.24. Solve $2 \sin ^{2} x+\sin ^{2} 2 x=2$. | 1 |
How to find genuine and legitimate investors for my business ? | 0 |
What is the best evidence that 9/11 was an inside job? | 0 |
53. For the reaction :
$$
\mathrm{PCl}_{5}(\mathrm{~g}) \rightarrow \mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g})
$$
The forward reaction at constant temperature is favoured by
(a) introducing an inert gas at constant volume
(b) introducing chlorine gas at constant volume
(c) introducing an inert ga... | 1 |
How do I become a music director? | 0 |
24. 0.2964 g of Cu was deposited on passage of a current of 0.5 amp for 30 min through a solution of copper sulphate. Calculate the atomic weight of Cu. | 1 |
Which species in Java face extinction? | 0 |
- Example 25.2 Radius of a spherical conductor is 2 m. This is kept in a dielectric medium of dielectric constant $10^{6} \mathrm{~N} / \mathrm{C}$. Find
(a) capacitance of the conductor
(b) maximum charge which can be stored on this conductor. | 1 |
(iii) $\quad 1 \mathrm{~g} \mathrm{Li}(\mathrm{s})$ | 1 |
When was the Kerala school established? | 0 |
What is the best way to burn fat fast? | 0 |
(c) the kinetic energy of the rod and | 1 |
How Hydroponics works in interiors spaces eg. Home, offices? | 0 |
17. The correct order of acid strength of the following carboxylic acid is
(a) I $>$ II $>$ III $>$ IV
(b) II $>$ I $>$ IV $>$ III
(c) I $>$ III $>$ II $>$ IV
(d) III $>$ II $>$ I $>$ IV | 1 |
2. Assertion If two physical quantities have same dimensions, then they can be certainly added or subtracted because
Reason If the dimensions of both the quantities are same then both the physical quantities should be similar. | 1 |
What are the biggest lies in history? | 0 |
How do concentric and eccentric contraction compare and contrast? | 0 |
When a guy hits on a girl & the girl talks about sex, is that usually a sign of a conservative sexually repressed girl or a girl who loves sex and has it often? | 0 |
10. A point source of light is placed at a distance of $2 f$ from a converging lens of focal length $f$. The intensity on the other side of the lens is maximum at a distance
(a) $f$
(b) between $f$ and $2 f$
(c) $2 f$
(d) more than $2 f$. | 1 |
12. The radius of an air bubble is increasing at the rate of $\frac{1}{2} \mathrm{~cm} / \mathrm{s}$. At what rate is the volume of the bubble increasing when the radius is 1 cm ? | 1 |
9. In the shown network charges in capacitors are same, then $\frac{C_{1}}{C_{2}}$ is
(a) $\frac{5}{3}$
(b) $1: 1$
(c) $1: 3$
(d) $1: 5$
 | 1 |
Where in Africa did Portuguese have control? | 0 |
What's the best experience of your life? Why? | 0 |
Is Citizen Kane overrated? | 0 |
24. The area bounded by the curves $y=(x-1)^{2}, y=(x+1)^{2}$ and $y=\frac{1}{4}$ is
(a) $\frac{1}{3}$ sq unit
(b) $\frac{2}{3}$ sq unit
(c) $\frac{1}{4}$ sq unit
(d) $\frac{1}{5}$ sq unit | 1 |
8. The number of integral values of $k$ for which the equation $7 \cos x+5 \sin x=2 k+1$ has a solution is
a. 4
h. 8
c. 10
d 12 | 1 |
My girlfriend responds to me too slowly because she says that her phone is slow. Should I believe her? | 0 |
Along with gardening, animal husbandry and child-care, what work did medieval peasant women do? | 0 |
38. What happens when
(i) hydrogen sulphide is bubled through an aqueous solution of sulphur dioxide.
(ii) tin is treated with concentrated nitric acid.
(iii) $\mathrm{Pb}_{3} \mathrm{O}_{4}$ is treated with nitric acid. | 1 |
How should I start a business reselling shoes? | 0 |
2. What is the ratio of the volumes occupied by 1 mole of $\mathrm{O}_2$ and 1 mole of $\mathrm{O}_3$ in identical conditions?
(1: 1) | 1 |
Why does basing sexual orientation on one component cause problems? | 0 |
15. The unit cell of tungsten is a face-centred cube having a volume of $31.699 \AA^{3}$. The atom at the centre of each face just touches the atoms at the corners. Calculate the radius and atomic volume of tungsten.
(1.1189 $\AA, 5.8676 \AA^{3}$ ) | 1 |
I want to switch from being a market research analyst to a brand marketer. How do I go about it? | 0 |
19. Which of the following compounds has/have a pair of geometrical isomers?
(1) $\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CH}_{2}$
(2) $\mathrm{CH}_{3} \mathrm{OCCH}=\mathrm{CHCOCH}_{3}$
(3) $\mathrm{CH}_{2} \mathrm{BrCH}=\mathrm{CHCH}_{2} \mathrm{Cl}$
(A) (1) only
(B) (2) only
(C) (1) and (3) only
(D) (2) and (3) o... | 1 |
Can I Make Wordpress Faster? | 0 |
I want to start an NGO for women and child development. How should I start from scratch? | 0 |
How can I do the right thing? | 0 |
53. If $\int \frac{d x}{\cos ^{3} x \sqrt{\sin 2 x}}=a\left(\tan ^{2} x+b\right) \sqrt{\tan x}+c$, then
a. $a=\frac{\sqrt{2}}{5}, b=\frac{1}{\sqrt{5}}$
b. $a=\frac{\sqrt{2}}{5}, b=.5$
c. $a=\frac{\sqrt{2}}{5}, b=-\frac{1}{\sqrt{5}}$
d. $a=\frac{\sqrt{2}}{5}, b=\sqrt{5}$ | 1 |
14. Let $n$ be a positive integer such that $\sin \frac{\pi}{2 n}+\cos \frac{\pi}{2 n}=\frac{\sqrt{x}}{2}$. Then
a. $6 \leq n \leq 8$
c. $4 \leq n \leq 8$
d. $4<n<8$
h. $4<n \leq 8$
(IIT-JEE, 1994) | 1 |
What is a job of an investment banker? | 0 |
What is the official title of Delhi's head of state? | 0 |
3. In figure, light refracts from material 1 into a thin layer of material 2 , crosses that layer, and then is incident at the critical angle on the interface between materials 2 and 3 .
(a) What is the angle $\theta$ ?
(b) If $\theta$ is decreased, is there refraction of light into material 3 ?
 | 1 |
33. In compounds of type $\mathrm{ECl}_{3}$, where $\mathrm{E}=\mathrm{B}, \mathrm{P}, \mathrm{As}$ or $\mathrm{Bi}$, the angles $\mathrm{Cl}-$ $\mathrm{E}-\mathrm{Cl}$ for different $\mathrm{E}$ are in the order
(a) $\mathrm{B}>\mathrm{P}=\mathrm{As}=\mathrm{Bi}$
(b) $\mathrm{B}>\mathrm{P}>\mathrm{As}>\mathrm{Bi}$... | 1 |
How do they solve a homicide in India? Do they use blood splatter analysts, forensics, DNA testing and any advanced techniques like other countries? | 0 |
9. Suppose a tunnel is dug along a diameter of the earth.
A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from
the earth is
(a) simple harmonic (b) parabolic
(c) on a straight line (d) periodic. | 1 |
What should we learn from history? | 0 |
4. The negative of the work done by the conservative
internal forces on a system equals the change in
(a) total energy (b) kinetic energy
(c) potential energy (d) none of these. | 1 |
7. If $y=a \sin x+b \cos x$, then $y^{2}+\left(\frac{d y}{d x}\right)^{2}$ is a
a. function of $x$
b. function of $y$
c. function of $x$ and $y$
d. constant | 1 |
25. The number of solutions of the equation $x^{3}+2 x^{2}+5 x$ $+2 \cos x=0$ in $[0,2 \pi]$ is
a. one b. two
c. three d. zero $\vdots$ | 1 |
What are the current issues that Canada is facing today? | 0 |
7. With a given point and line as focus and directrix, a series of ellipses are described, the locus of the extremities of their minor axis is
a. ellipse
b. parabola
c. hyperbola
d. none of these | 1 |
8. If the decreasing G.P. is considered, then the sum of infinite terms is
a. 64
b. 128
c. 256
d. 729 | 1 |
What are the best things to do when working on losing weight? | 0 |
89. If $\alpha$ is a root of $25 \cos ^{2} \theta+5 \cos \theta-12=0, \frac{\pi}{2}<\alpha<\pi$, then $\sin 2 \alpha$ is equal to
a. $\frac{24}{25}$
b. $-\frac{24}{25}$
c. $\frac{13}{18}$
$\mathrm{d}-\frac{13}{18}$ | 1 |
What are some tips on making it through the job interview process at Quantum? | 0 |
36. The greater the value of $r_{+} / r_{\lrcorner}$,
(a) the lower will be the CN
(b) the higher the value of CN
(c) the higher will be the number of cations
(d) the lower will be the number of anions | 1 |
If you are hired by a PSU in India, do they give you a choice of location? Do Indians try to work for a PSU in their home state or do they no care? | 0 |
71. If $y=\sin x+e^{x}$, then $\frac{d^{2} x}{d y^{2}}=$
a. $\left(-\sin x+e^{x}\right)^{-1}$
b. $\frac{\sin x-e^{x}}{\left(\cos x+e^{x}\right)^{2}}$
c. $\frac{\sin x-e^{x}}{\left(\cos x+e^{x}\right)^{3}}$
d. $\frac{\sin x+e^{x}}{\left(\cos x+e^{x}\right)^{3}}$ | 1 |
Trumps infrastructure plan is to be paid by private investments. This means a toll booth on all roads and bridges. Do you agree with this? | 0 |
9. The major product in the following reaction is:
 $\frac{q q_{0}}{8 \pi^{2} \in_{0} r^{2}}$
(b) $\frac{q q_{0}}{4 \pi^{2} \in_{0} r^{2}}$
(c) $\frac{q q_{0}}{2 \pi^{2} \in_{0} r^{2}}$... | 1 |
6. Show that in general there are three values of $t$ for which the following system of equations has a non-trivial solution:
$(a-t) x+b y+c z=0$
$b x+(c-t) y+a z=0$
$c x+a y+(b-t) z=0$
Express the product of these values of $t$ in the form of a determinant. | 1 |
7. An electric dipole is placed in a uniform electric field.
The net electric force on the dipole
(a) is always zero (b) depends on the orientation of the dipole
(c) can never be zero
(d) depends on the strength of the dipole. | 1 |
What is the difference between a differential amplifier and an instrumentation amplifier? | 0 |
Example 4.7 Galileo, in his book Two new sciences, stated that "for elevations which exceed or fall short of $45^{\circ}$ by equal amounts, the ranges are equal". Prove this statement. | 1 |
7. If $Q(0,-1,-3)$ is the image of the point $P$ in the plane $3 x-y+4 z=2$ and $R$ is the point $(3,-1,-2)$, then the area (in sq units) of $\triangle P Q R$ is
(a) $\frac{\sqrt{91}}{2}$
(b) $2 \sqrt{13}$
(c) $\frac{\sqrt{91}}{4}$
(d) $\frac{\sqrt{65}}{2}$ | 1 |
How do I become a software engineer? | 0 |
68. Let $F(\alpha)=\left[\begin{array}{ccc}\cos \alpha & -\sin \alpha & 0 \\ \sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1\end{array}\right]$, where $\alpha \in R$. Then $(F(\alpha))^{-1}$ is equal to
a. $F\left(\alpha^{-1}\right)$
b. $F(-\alpha)$
c. $F(2 \alpha)$
d. none of these | 1 |
Where did this type of thinking next travel to? | 0 |
44. The energy profile of the reaction:
$$
\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}
$$
is shown as,
The equilibrium constant for the said equilibrium
(a) increases with the incr... | 1 |
24. $(2 n+7)<(n+3)^{2}$. | 1 |
The judiciary plays an important part in the governance of a country. Is the judicial system a result of democracy? | 0 |
20. Distance travelled by the particle in 0 to 3 second time interval is:
(a) 18 m
(b) 20 m
(c ) 22 m
(d) 24 m | 1 |
4. Which of the following liberates $\mathrm{O}_{2}$ upon hydrolysis?
(a) $\mathrm{Pb}_{3} \mathrm{O}_{4}$
(b) $\mathrm{KO}_{2}$
(c) $\mathrm{Na}_{2} \mathrm{O}_{2}$
(d) $\mathrm{Li}_{2} \mathrm{O}_{2}$ | 1 |
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