Question stringlengths 2 3k | label int64 0 1 |
|---|---|
Why am I not able to study even though I know the consequences? How can I overcome this? | 0 |
3. Molal depression constant for a solvent is $4.0 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$. The depression in the freezing point of the solvent for $0.03 \mathrm{~mol}^{-1}$ solution $\mathrm{K}_{2} \mathrm{SO}_{4}$ is:
(Assume complete dissociation of the electrolyte)
(a) $0.18 \mathrm{~K}$
(b) $0.24 \mathrm... | 1 |
7. A ring of mass $(2 \pi) \mathrm{kg}$ and of radius $0.25 \mathrm{~m}$ is making $300 \mathrm{rpm}$ about an axis through its perpendicular to its plane. The tension in newton developed in ring is approximately
(a) 50
(b) 100
(c) 175
(d) 250 | 1 |
How much does a Facebook business page cost? | 0 |
Why do so many people ask google-able questions on Quora? | 0 |
36. A balloon having a capacity of 10000 metre $^{3}$ is filled with helium at $20^{\circ} \mathrm{C}$ and 1 atm pressure. If the balloon is loaded with $80 \%$ of the load that it can lift at ground level, at what height will the balloon come to rest? Assume that the volume of the balloon is constant, the atmosphere i... | 1 |
3. Let $n$ be an odd integer. If $\sin n \theta=\sum_{r=0}^{n} b_{r} \sin ^{\prime \prime} \theta$, for every value of $\theta$, then
a. $b_{0}=1, b_{1}=3$
b. $b_{0}=0, b_{1}=n$
c. $b_{0}=-1, b_{1}=n$
d. $b_{0}=0, b_{1}=n^{2}-3 n+3$ | 1 |
- 13 SSM A 5.0 g marble is fired vertically upward using a spring gun. The spring must be compressed 8.0 cm if the marble is to just reach a target 20 m above the marble's position on the compressed spring. (a) What is the change $\Delta U_{g}$ in the gravitational potential energy of the marble-Earth system during the... | 1 |
19. In the circuit shown in figure, the switch $S$ is closed at $t=0$. If $V_{L}$ is the voltage induced across the inductor and $i$ is the instantaneous current, the correct variation of $V_{L}$ versus $i$ is given by
(a)
 at $P$ was $5 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. If the density of water is $1000 \mathrm{~kg} / \mathrm{m}^{3}$ the initial velocity with which water gushes out is app... | 1 |
Where did Cabot make landfall? | 0 |
30. If $\log _{3}\left(x^{2}-6 x+11\right) \leq 1$, then exhaustive range of values of $x$ is
a. $(-\infty, 2) \cup(4, \infty)$
b. $(2,4)$
c. $(-\infty, 1) \cup(1,3) \cup(4, \infty)$
d. None of these | 1 |
Is it dangerous being "Western" or Atheist in Turkey right now? | 0 |
2. Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle as shown in the figure.
(a) $\sqrt{3} q l \frac{\hat{\mathbf{j}}-... | 1 |
4. A particle of mass $m$ is moving along the side of a square of side $a$, with a uniform speed $v$ in the $x y$-plane as shown in the figure.
Which of the following statements is false ... | 1 |
24. The Miller indices of the shaded plane shown in the figure below are
(a) (001)
(b) (0 10 )
(c) $(011)$
(d) $(100)$
 | 1 |
What are barcodes used for? | 0 |
27. Let $A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]$. Then
a. $A^{2}-4 A-5 I_{3}=O$
b. $A^{-i}=\frac{1}{5}\left(A-4 I_{3}\right)$
c. $A^{3}$ is not invertible
d. $A^{2}$ is invertible | 1 |
27. The values of parameter $a$ if $f(x)$ has points of extrema which are opposite in sign are
a. $\phi$
b. $(-3,3)$
c. $\left(-\infty, \frac{58}{14}\right)$
d. None of these | 1 |
1. $X$ and $Y$ are large, parallel conducting plates close to each other. Each face has an area A. $X$ is given a charge $Q$. $Y$ is without any charge. Points $A, B$ and $C$ are as shown in the figure.
=\frac{1}{6}$, $P(A \cap B)=\frac{1}{4}$ and $P(\bar{A})=\frac{1}{4}$, where $\bar{A}$ stands for the complement of the event $A$. Then, the events $A$ and $B$ are
(2014 Main)
(a) independent but not equally likely
(b) independent and equally likely
... | 1 |
Why is the Indian government afraid of the truth by banning the Australia journalist report on India and China war in 1962 for over 50 years? | 0 |
How can I improve my English writing skills? | 0 |
3. A plane sound wave passes from medium 1 into medium 2 . The speed of sound in medium 1 is $200 \mathrm{~m} / \mathrm{s}$ and in medium 2 is $100 \mathrm{~m} / \mathrm{s}$. The ratio of amplitude of the transmitted wave to that of incident wave is
(a) $\frac{3}{4}$
(b) $\frac{4}{5}$
(c) $\frac{5}{6}$
(d) $\frac{2}{3}... | 1 |
6. Four equal point charges $Q$ each are placed in the $x y$-plane at $(0,2),(4,2),(4,-2)$ and $(0,-2)$. The work required to put a fifth charge $Q$ at the origin of the coordinate system will be
(a) $\frac{Q^{2}}{4 \pi \varepsilon_{0}}$
(b) $\frac{Q^{2}}{4 \pi \varepsilon_{0}} 1+\frac{1}{\sqrt{3}}$
(c) $\frac{Q^{2}}{2... | 1 |
29. Number of structural isomers of $\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}$ are :
(A) 8
(B) 9
(C) 5
(D) 6 | 1 |
4. The region represented by $|x-y| \leq 2$ and $|x+y| \leq 2$ is bounded by a
(a) rhombus of side length 2 units
(b) rhombus of area $8 \sqrt{2} \mathrm{sq}$ units
(c) square of side length $2 \sqrt{2}$ units
(d) square of area $16 \mathrm{sq}$ units | 1 |
(ii) $\alpha$-decay of ${ }_{94}^{242} \mathrm{Pu}$ | 1 |
What are some of the best hikes in Joshua Tree National Park? | 0 |
30. The activity of a freshly prepared radioactive sample is $10^{10}$ disintegrations per second, whose mean life is $10^{-9} \mathrm{~s}$. The mass of an atom of this radioisotope is $10^{-25} \mathrm{~kg}$. The mass (in $\mathrm{mg}$ ) of the radioactive sample is | 1 |
What language did most of Lower Canada speak? | 0 |
12. The value of $R_{1}$ is
(a) $0.47 \Omega$
(b) $0.82 \Omega$
(c) $0.12 \Omega$
(d) None of these | 1 |
35. If $\alpha$ is a complex constant such that $\alpha z^{2}+z+\bar{\alpha}=0$ has a real root, then
a. $\alpha+\bar{\alpha}=1$
b. $\alpha+\bar{\alpha}=0$
c. $\alpha+\bar{\alpha}=-1$
d. the absolute value of the real root is 1
36. If $\sqrt{5-12 i}+\sqrt{-5-12 i}=z$, then principal value of arg $z$ canbe
a. $-\frac{... | 1 |
What are the most underrated Hollywood movies and why do you think they're worth watching? | 0 |
19. A green light is incident from the water to the air-water interface at the critical angle ( $\theta$ ). Select the correct statement.
(a) The entire spectrum of visible light will come out of the water at an angle of $90^{\circ}$ to the normal.
(b) The spectrum of visible light whose frequency is less than that o... | 1 |
What is your favorite novel? | 0 |
How much of all of Greece's energy demand was supplied by DEI in 2009? | 0 |
54. The initial rate of hydrolysis of methyl acetate ( 1 M ) by a weak acid (HA, 1 M ) is $\left(\frac{1}{100}\right)$ th of that of a strong acid $(\mathrm{HX}, 1 \mathrm{M})$ at $25^{\circ} \mathrm{C}$. The $K_{\mathrm{a}}(\mathrm{HA})$ value is
(a) $1 \times 10^{-4}$
(b) $1 \times 10^{-5}$
(c) $1 \times 10^{-6}$
(d)... | 1 |
14. If force $F$, length $L$ and time $T$ are taken as fundamental units, the dimensional formula for mass will be
(a) $\left[\mathrm{FL}^{-1} \mathrm{~T}^{2}\right]$
(b) $\left[\mathrm{FLT}^{-2}\right]$
(c) $\left[\mathrm{FL}^{-1} \mathrm{~T}^{-1}\right]$
(d) $\left[\mathrm{FL}^{5} \mathrm{~T}^{2}\right]$ | 1 |
12.39 The best and latest technique for isolation, purification and
separation of organic compounds is:
(a) Crystallisation
(b) Distillation
(c) Sublimation
(d) Chromatography | 1 |
Ex. 58. 1.25 g of a sample of bleaching powder is dissolved in 100 mL of water and 25 mL of which are treated with KI solution. The iodine so liberated required 12.5 mL of N/25 hypo solution in titration. Find the percentage of chlorine available from the sample of bleaching powder. | 1 |
What is the best field for earning money after completing a B.Tech in mechanical engineering? | 0 |
4. In the circuit shown in figure, match the following two columns. In Column II, quantities are given in SI units.
| Column I | |
| :--- | :--- |
| Column II | |
| (a) Value of resistanc... | 1 |
31. If $f(x)=x^{3} \operatorname{sgn} x$, then
a. $f$ is derivable at $x=0$
b $f$ is continuous but not derivable at $x=0$
c. L.H.D. at $x=0$ is 1
d R.H.D. at $x=0$ is 1 | 1 |
How does MDMA differ from crystal meth? | 0 |
1. A thin circular ring of mass $M$ and radius $R$ is rotating about its axis with an angular speed $\omega_{0}$. Two particles each of mass $m$ are now attached at diametrically opposite points. Find the new angular speed of the ring. | 1 |
16.13 What are the main constituents of dettol ? | 1 |
What do neuroanatomists study? | 0 |
7. Solve the equation $x(x+2)\left(x^{2}-1\right)=-1$. | 1 |
What is a disaster? | 0 |
Has Carly Fiorina had facial plastic surgery? | 0 |
When were the steamship and the telegraph invented? | 0 |
9. Diameter of the flat surface of a circular plano-convex lens is $6 \mathrm{~cm}$ and thickness at the centre is $3 \mathrm{~mm}$. The radius of curvature of the curved part is
(a) $15 \mathrm{~cm}$
(b) $20 \mathrm{~cm}$
(c) $30 \mathrm{~cm}$
(d) $10 \mathrm{~cm}$ | 1 |
During what period did Constantine VII reign? | 0 |
2. Five point masses $m$ each are placed at five corners of a regular pentagon. Distance of any corner from centre is $r$. Match the following two columns.
| Column I | | | Column II |
| :---: | :---: | :---: | :---: |
| (a) | Gravitational field strength at centre | | $G m / r^{2}$ |
| (b) | Gravitational potentia... | 1 |
4. Two rods are of same material and having same length and area. If heat $\Delta Q$ flows through them for $12 \mathrm{~min}$ when they are joined side by side. If now both the rods are joined in parallel, then the same amount of heat $\Delta Q$ will flow in
(a) $24 \mathrm{~min}$
(b) $3 \mathrm{~min}$
(c) $12 \mathrm... | 1 |
Along with class and race, what is regarded as an essential category of historical analysis? | 0 |
What's the shadiest tactic you've witnessed someone do to acquire success or "climb up the ladder"? | 0 |
14. The value of $k(k>0)$ such that the length of the longest interval in which the function. $f(x)=\sin ^{-1}|\sin k x|+\cos ^{-1}(\cos k x)$ is constant is $\pi / 4$ is/are
a. 8
b. 4
c. 12
d. 16 | 1 |
8. The gap between the plates of a parallel-plate capacitor is filled with isotropic dielectric whose permittivity $\in$ varies linearly from $\epsilon_{1}$ to $\epsilon_{2}\left(\epsilon_{2}>\epsilon_{1}\right)$ in the direction perpendicular to the plates. The area of each plate is equal to $S$, the separation betwee... | 1 |
10. $\alpha$ and $\beta$ are the positive acute angles and satisfying equations $5 \sin 2 \beta=3 \sin 2 \alpha$ and $\tan \beta=3 \tan \alpha$ simultaneously. Then the value of $\tan \alpha+\tan \beta$ is . $\qquad$ | 1 |
7. Two waves
and
$$
\begin{aligned}
& y_{1}=A \sin (\omega t-k x) \\
& y_{2}=A \sin (\omega t+k x)
\end{aligned}
$$
superimpose to produce a stationary wave, then
(a) $x=0$ is a node
(b) $x=0$ is an antinode
(c) $x=\frac{\pi}{k}$ is a node
(d) $\pi=\frac{2 \pi}{k}$ is an antinode | 1 |
42. If $\cos \theta_{1}=2 \cos \theta_{2}$, then $\tan \frac{\theta_{1}-\theta_{2}}{2} \tan \frac{\theta_{1}+\theta_{2}}{2}$ is equal to
a. $\frac{1}{3}$
$\mathbf{h}-\frac{1}{3}$
c. 1
$d-1$ | 1 |
What is the meaning of "what's up"? | 0 |
13. An ionized gas contains both positive and negative ions. If it is subjected simultaneously to an electric field along the $+x$-direction and a magnetic field along the $+z$-direction, then
(a) positive ions deflect towards $+y$-direction and negative ions towards $-y$-direction
(b) all ions deflect towards $+y$... | 1 |
85. $\left(\mathrm{NH}_{4}\right)_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}=\mathrm{N}_{2}+\mathrm{H}_{2} \mathrm{O}+\mathrm{Cr}_{2} \mathrm{O}_{3}$ | 1 |
What is the impact of marrying a woman who is older than you? | 0 |
21. The forward biased diode connection is
(a) 
(b) 
(c) 
(d)  increases the equilibrium concentration of the product
(b) changes the equilibrium constant of the reaction
(c) shortens the time to reach equilibrium
(d) supplies energy to the reaction
(i) 3 Numeric Answer | 1 |
18. Two thin circular discs of mass $m$ and $4 m$, having radii of $a$ and $2 a$, respectively, are rigidly fixed by a massless, rigid rod of length $l=\sqrt{24} a$ through their centers. This assembly is laid on a firm and flat surface and set rolling without slipping on the surface so that the angular speed about the... | 1 |
10. A cube has a side of length $1.2 \times 10^{-2} \mathrm{~m}$. Calculate its volume.
(a) $1.7 \times 10^{-6} \mathrm{~m}^{3}$
(b) $1.73 \times 10^{-6} \mathrm{~m}^{3}$
(c) $1.70 \times 10^{-6} \mathrm{~m}^{3}$
(d) $1.732 \times 10^{-6} \mathrm{~m}^{3}$ | 1 |
15. For an isosceles prism of angle $A$ and refractive index $\mu$, it is found that the angle of minimum deviation $\delta_{m}=A$. Which of the following options is/are correct?
(a) For the angle of incidence $i_{1}=A$, the ray inside the prism is parallel to the base of the prism
(b) At minimum deviation, the incid... | 1 |
What would happen if a country tried to invade/declared war on Switzerland? | 0 |
2. If $a_{1}, a_{2}, a_{3}, 5,4, a_{6}, a_{7}, a_{8}, a_{9}$ are in H.P., and $D=\left|\begin{array}{ccc}a_{1} & a_{2} & a_{3} \\ 5 & 4 & a_{6} \\ a_{7} & a_{8} & a_{9}\end{array}\right|$ then the value of [D] is (where [ ] represents the greatest integer function) | 1 |
How should I plan a trip of few days to Goa? | 0 |
12. The normality of $0.3 \mathrm{M}$ phosphorous acid $\left(\mathrm{H}_{3} \mathrm{PO}_{3}\right)$ is,
(a) 0.1
(b) 0.9
(c) 0.3
(d) 0.6 | 1 |
18. Let $f(x)=\left\{\begin{array}{ll}-x^{3}+\frac{\left(b^{3}-b^{2}+b-1\right)}{\left(b^{2}+3 b+2\right)}, & 0 \leq x<1 \\ 2 x-3, & 1 \leq x \leq 3\end{array}\right.$. Find all the possible real values of $b$ such that $f(x)$ has the smallest value at $x=1$. | 1 |
When did the first shipment of British convicts leave for Australia? | 0 |
Mark your answer as
(a) If Statement I is true, Statement II is true; Statement II is the correct explanation for Statement I
(b) If Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I
(c) If Statement I is true; Statement II is false
(d) If Statement I is false; Sta... | 1 |
6. If $f(x)=x^{3}-x^{2}+a x+b$ is divisible by $x^{2}-x$, then find the value of $f(2)$. | 1 |
5. Which one of the following statements is correct?
a. $A_{1}>A_{2}>A_{3}>\cdots$
b. $A_{1}<A_{2}<A_{3}<\cdots$
c. $A_{1}>A_{3}>A_{5}>\cdots$ and $A_{2}<A_{4}<A_{6}>$
d. $A_{1}<A_{3}<A_{5}<\cdots$ and $A_{2}>A_{4}>A_{6}>\cdots$ | 1 |
What is the Holy Trinity? | 0 |
When did Outcault's The Yellow Kid appear in newspapers? | 0 |
Where did France try to invade in 1898? | 0 |
What universities does Express recruit new grads from? What majors are they looking for? | 0 |
(c) the potential drop across the $10 \Omega$ resistor. | 1 |
Animal phyla that are recognized for their lack of bilateral symmetry are thought to have come from where? | 0 |
What are the healthy ways of gaining weight and muscles? | 0 |
5.233. How fast should a car move for the driver to perceive a red traffic light $\left(\lambda \approx 0.70 \mu \mathrm{m}\right.$ ) as a green one $\left(\lambda^{\prime} \approx 0.55 \mu \mathrm{m}\right)$ ? | 1 |
24. The velocity of the motor boat as a function of the distance covered with the shutdown engine is
(a) $v=v_{0}-\frac{r s}{m}$
(b) $v=\frac{v_{0} r}{m}$
(c ) $v=\frac{v_{0}(\eta-1)}{\eta \ln \eta}$.
(d) None of these | 1 |
What are the best Dragon Ball Z films? Why? | 0 |
14. A litre of air weighs 1.293 grams at NTP. At what temperature will a litre of air weigh 1 gram, the pressure being 72 cm ? | 1 |
Do colleges look at freshman grades? | 0 |
13. Passing $\mathrm{H}_{2} \mathrm{~S}$ gas into a mixture of $\mathrm{Mn}^{2+}, \mathrm{Ni}^{2+}, \mathrm{Cu}^{2+}$ and $\mathrm{Hg}^{2+}$ ions in an acidified aqueous solution precipitates
(a) $\mathrm{CuS}$ and $\mathrm{HgS}$
(b) $\mathrm{MnS}$ and $\mathrm{CuS}$
(c) $\mathrm{MnS}$ and $\mathrm{NiS}$
(d) $\math... | 1 |
How do I choose curtain? | 0 |
What was the title of the leader of a monastery? | 0 |
Prior to the introduction of the word emotion, what word was used in its place? | 0 |
38. When a solution of conductance 1.342 mho metre ${ }^{-1}$ was placed in a conductivity
cell with parallel electrodes, the resistance was found to be $170 \cdot 5$ ohm. The area of the electrodes is $1.86 \times 10^{-4}$ sq metre. Calculate the distance between the two electrodes in metres.
( $4.25 \times 10... | 1 |
How does it feel to cheat on your spouse? | 0 |
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