Question stringlengths 2 3k | label int64 0 1 |
|---|---|
14.14 Do you observe any soil pollution in your neighbourhood? What efforts will you make for controlling the soil pollution? | 1 |
How can I lose weight quickly? | 0 |
9. The length of a 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 |
97. Five different games are to be distributed among 4 children randomly. The probability that each child get atleast one game is
a. $1 / 4$
b. $15 / 64$
c. $21 / 64$
d. none of these | 1 |
What does knowing the sexual population influence? | 0 |
21. In a $\triangle A B C$, the median to the side $B C$ is of length $\frac{1}{\sqrt{11-6 \sqrt{3}}}$ and it divides the $\angle A$ into angles $30^{\circ}$ and $45^{\circ}$. Find the length of the side $B C$. | 1 |
26. For a given reaction, the half-life period was found to be directly proportional to the initial concentration of the reactant. The order is
(a) 0
(b) 1
(c) 2
(d) 3 | 1 |
Who is the best basketball player in NBA right now (Year 2012 4Q)? | 0 |
In the movie The Prestige, Tesla is merely a key to Borden's diary and Borden never knew Tesla's machine until the end when Angier told him. How can it be such a coincidence that Tesla can really make the machine? | 0 |
What happened to construction during the Depression? | 0 |
What is a common tenant of humanism? | 0 |
37. Copper can be extracted from
(a) Kupfernical
(b) Dolomite
(c) Malachite
(d) Galena | 1 |
(b) the electrostatic energy stored in each of the two capacitors and | 1 |
11. On interchanging the resistances, the balance point of a meter bridge shifts to the left by $10 \mathrm{~cm}$. The resistance of their series combination is $1 \mathrm{k} \Omega$. How much was the resistance on the left slot before interchanging the resistances?
(2018 Main)
(a) $990 \Omega$
(b) $910 \Omega$
(c) $9... | 1 |
Which is the best coaching class for the preparation of medical entrance exams in India?( UG and PG) | 0 |
6. The solution of the differential equation $x \frac{d y}{d x}+2 y=x^{2}(x \neq 0)$ with $y(1)=1$, is $\quad$
(a) $y=\frac{x^{2}}{4}+\frac{3}{4 x^{2}}$
(b) $y=\frac{x^{3}}{5}+\frac{1}{5 x^{2}}$
(c) $y=\frac{3}{4} x^{2}+\frac{1}{4 x^{2}}$
(d) $y=\frac{4}{5} x^{3}+\frac{1}{5 x^{2}}$ | 1 |
7. In the potentiometer experiment shown in figure, the null point length is $l$. Choose the correct options given below.
(a) If jockey $J$ is shifted towards right, $l$ will increase
(b) ... | 1 |
2. On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius $R$ and making a circular contact of radius $r$ with the bottom of the vessel. If $r \ll R$ and the surface tension of water is $T$, value of $r$ just before bubbles detach is: (density of wat... | 1 |
Which of the following compounds is a secondary alcohol?
A.
B.
C.
D. $\sqrt{\frac{2 L}{g \sin \theta-a \cos \theta}}$
(b) $\sqrt{\frac{2 L}{g \sin \theta+a \sin \theta}}$
(c) $\sqrt{\frac{2 L}... | 1 |
4. In a coil of resistance $100 \Omega$, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is
(a) $225 ... | 1 |
14. Three charges $Q,+q$ and $+q$ are placed at the vertices of a right angle triangle (isosceles triangle) as shown. The net electrostatic energy of the configuration is zero, if $Q$ is equal to
 2 or $-3 / 2$
(b) -2 or $-3 / 2$
(c) 2 or $3 / 2$
(d) -2 or $3 / 2$ | 1 |
When the force on an object depends on the position of the object, we cannot find the work done by it on the object by simply multiplying the force by the displacement. The reason is that there is no one value for the force-it changes. So, we must find the work in tiny little displacements and then add up all the work ... | 1 |
59. The radius of second Bohr orbit for hydrogen atom is $\left(h=6.6262 \times 10^{-34} \mathrm{Js}\right.$, mass of electron $=9.1091 \times 10^{-31} \mathrm{~kg}$, charge $e=1.60210 \times 10^{-19} \mathrm{C}$, permitivity of vacuum, $\epsilon_0=8.854185 \times 10^{-12} \mathrm{~kg}^{-1} \mathrm{~m}^{-3} \mathrm{~A}... | 1 |
- Example 1.70 Find the equation of the line passing through the point $A(2,3)$ and making an angle of $45^{\circ}$ with the $x$-axis. Also determine the length of intercept on it between $A$ and the line $x+y+1=0$. | 1 |
6.175. The natural vibration frequency of a hydrogen molecule is equal to $8.25 \cdot 10^{14} \mathrm{~s}^{-1}$, the distance between the nuclei is $74 \mathrm{pm}$. Find the ratio of the number of these molecules at the first excited vibrational level $(v=1)$ to the number of molecules at the first excited rotational ... | 1 |
1. Consider an electron in a hydrogen atom, revolving in its second excited state (having radius $4.65 \AA$ ). The de-Broglie wavelength of this electron is
(a) $3.5 \AA$
(c) $12.9 \AA$
(b) $6.6 \AA$
(d) $9.7 \AA$ | 1 |
Which Hindu kingdom existed around 200 BCE? | 0 |
(ii) O has lower $\Delta_{i} H$ than N and F ? | 1 |
Why is it that I can read so fast at night but not in the morning? | 0 |
Why did the economy begin to expand? | 0 |
13. The alkaline earth metal nitrate that does not crystallise with water molecules, is:
(a) $\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}$
b) $\mathrm{Sr}\left(\mathrm{NO}_{3}\right)_{2}$
(c) $\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}$
(d) $\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$ | 1 |
4. A curve passes through the point $1, \frac{\pi}{6}$. Let the slope of the curve at each point $(x, y)$ be $\frac{y}{x}+\sec \frac{y}{x}, x>0$.
Then, the equation of the curve is
(a) $\sin \frac{y}{x}=\log x+\frac{1}{2}$
(b) $\operatorname{cosec} \frac{y}{x}=\log x+2$
(c) $\sec \frac{2 y}{x}=\log x+2$
(d) $\cos \f... | 1 |
How did the claims on the areas in Africa benefit the European powers? | 0 |
(ii) Tollens' reagent | 1 |
25. Two identical photo-cathodes receive light of frequencies $v_{1}$ and $v_{2}$. If the velocities of the photoelectrons (of mass $m$ ) coming out are $v_{1}$ and $v_{2}$ respectively, then
(a) $v_{1}-v_{2}=\left[\frac{2 h}{m}\left(v_{1}-v_{2}\right)\right]^{1 / 2}$
(b) $v_{1}^{2}-v_{2}^{2}=\frac{2 h}{m}\left(v_{1}-v... | 1 |
19. Earth receives $1400 \mathrm{~W} / \mathrm{m}^{2}$ of solar power. If all the solar energy falling on a lens of area $0.2 \mathrm{~m}^{2}$ is focussed onto a block of ice of mass $280 \mathrm{~g}$, the time taken to melt the ice will be ... minutes. (Latent heat of fusion of ice $=3.3 \times 10^{5} \mathrm{~J} / \m... | 1 |
(iii) Why are aliphatic amines stronger bases than aromatic amines? | 1 |
2. Applied AC voltage is given as
$$
V=V_{0} \sin \omega t
$$
Corresponding to this voltage, match the following two columns.
| Column I | Column II |
| :--- | :--- |
| (a) $I=I_{0} \sin \omega t$ | (p) only $R$ circuit |
| (b) $I=-I_{0} \cos \omega t$ | (q) only $L$ circuit |
| (c) $I=I_{0} \sin (\omega t+\pi / 6)$... | 1 |
118. The function $f$ and $g$ are positive and continuous. If $f$ is increasing and $g$ is decreasing, then
$\int_{0}^{1} f(x)[g(x)-g(1-x)] d x$
a is always non-positive
b. is always non-negative
c. can take positive and negative values
d. None of these | 1 |
29. The standard heat of formation $\left(\Delta_{f} \mathrm{H}_{298}^{\circ}\right)$ of ethane (in $\mathrm{kJ} / \mathrm{mol}$ ), if the heat of combustion of ethane, hydrogen and graphite are -1560 , 393.5 and $-286 \mathrm{~kJ} / \mathrm{mol}$, respectively is | 1 |
1. A capacitor and resistor are connected with an AC source as shown in figure. Reactance of capacitor is $X_{C}=3 \Omega$ and resistance of resistor is $4 \Omega$. Phase difference between current $I$ and $I_{1}$ is $\tan ^{-1} \frac{3}{4}=37^{\circ}$
 $0.64 \mathrm{~cm}$
(b) $0.88 \mathrm{~mm}$
(c) $0.32 \mathrm{~cm}$
(d) $5 \times 10^{-7} \mathrm{~m}$ | 1 |
8. A steel rod of length $1 \mathrm{~m}$ is heated from $25^{\circ}$ to $75^{\circ} \mathrm{C}$ keeping its length constant. The longitudinal strain developed in the rod is (Given, coefficient of linear expansion of steel $=12 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ )
(a) $6 \times 10^{-4}$
(b) $-6 \times 10^{-5}$
(c) ... | 1 |
How many bones do sharks have? | 0 |
If you feel disappointed in yourself, how do you make yourself feel better? | 0 |
7.22 Bromine monochloride, BrCl decomposes into bromine and chlorine and reaches the equilibrium:
$$
2 \mathrm{BrCl}(\mathrm{g}) \rightleftharpoons \mathrm{Br}_{2}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g})
$$
for which $K_{\mathrm{c}}=32$ at 500 K . If initially pure BrCl is present at a concentration of $3.3 \times... | 1 |
On D-Day, how come the attacking forces couldn't place down a sniper with cover from a hedgehog to take out enemy machine gunners in the bunkers? | 0 |
29. The curves $4 x^{2}+9 y^{2}=72$ and $x^{2}-y^{2}=5$ at $(3,2)$
a. touch each other
b. cut orthogonally
c. intersect at $45^{\circ}$
d. intersect at $60^{\circ}$ | 1 |
(iii) $\mathrm{X} \cap \mathrm{Y}$ | 1 |
What is the effective way to suppress anger? | 0 |
3. Which of the following is unstable at room temperature?
 | 1 |
9. If the gravitational field intensity at a point is given by $g=\frac{G M}{r^{2.5}}$. Then, the potential at a distance $r$ is
(a) $\frac{-2 G M}{3 r^{1.5}}$
(b) $\frac{-G M}{r^{2.5}}$
(c) $\frac{2 G M}{3 r^{1.5}}$
(d) $\frac{G M}{r^{3.5}}$ | 1 |
1. Let $\vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k} ; \vec{b}=b_{1} \hat{i}+b_{2} \hat{j}+b_{3} \hat{k}$ and $\vec{c}=c_{1} \hat{i}+c_{2} \hat{j}+c_{3} \hat{k}$ be three non-zero vectors such that $\vec{c}$ is a unit vector perpendicular to both vectors $\vec{a}$ and $\vec{b}$. If the angle between $\vec{a}$ and ... | 1 |
What is Simon Pegg working on in 2015? | 0 |
32. The common features among the species $\mathrm{CN}^{-}, \mathrm{CO}$ and $\mathrm{NO}^{+}$ are
(a) bond order three and isoelectronic
(b) bond order three and weak field ligands
(c) bond order two and $\pi$-acceptors
(d) isoelectronic and weak field ligands | 1 |
In what geographic area was the country of India established? | 0 |
What is important in old age? | 0 |
Have you ever seen or experienced a ghost in "India"? | 0 |
(iii) Dilute $\mathrm{HNO}_{3}$ with phenol. | 1 |
In a recent Charlie Rose interview, Steve Case mentioned an American venture-backed company that recently went public in India. To what company was he referring? | 0 |
22. Electrolysis of dilute aqueous $\mathrm{NaCl}$ solution was carried out by passing 10 milli ampere current. The time required to liberate 0.01 $\mathrm{mol}$ of $\mathrm{H}_{2}$ gas at the cathode is $\left(1\right.$ Faraday $\left.=96500 \mathrm{C} \mathrm{mol}^{-1}\right)$
[2008S]
(a) $9.65 \times 10^{4} \mathr... | 1 |
What is the main function of journalism or historical documentation? | 0 |
11. Which of the following identities, wherever defined, hold(s) good?
a. $\cot \alpha-\tan \alpha=2 \cot 2 \alpha$
b $\tan \left(45^{\circ}+\alpha\right)-\tan \left(45^{\circ}-\alpha\right)=2 \operatorname{cosec} 2 \alpha$
c. $\tan \left(45^{\circ}+\alpha\right)+\tan \left(45^{\circ}-\alpha\right)=2 \sec 2 \alpha$
d. ... | 1 |
13. An equilateral triangle frame $P Q R$ of mass $M$ and side $a$ is kept under the influence of magnetic force due to inward perpendicular magnetic field $B$ and gravitational field as shown in the figure. The magnitude and direction of current in the frame so that the frame remains at rest, is
$ and $(-4,4)$ and passing through the origin has eccentricity equal to
a. $\frac{3}{7}$
b. $\frac{2}{7}$
c. $\frac{5}{7}$
d. $\frac{3}{5}$ | 1 |
33. If the unit cell of a mineral has cubic close packed ( $c c p$ ) array of oxygen atoms with $m$ fraction of octahedral holes occupied by aluminium ions and $n$ fraction of tetrahedral holes occupied by magnesium ions, $m$ and $n$, respectively, are
[Adv. 2015]
(a) $\frac{1}{2}, \frac{1}{8}$
(b) $1, \frac{1}{4}$
... | 1 |
The Great Gatsby (1925 book): Is Daisy Buchanan misunderstood? | 0 |
Why do people seem to prefer The Witcher 3 to Dragon Age Inquisition? | 0 |
If dark/vacuum energy is created with expansion and it has no limit, can infinite energy be created then? | 0 |
What are some tips on making it through the job interview process at C&J Energy Services? | 0 |
13. The group of molecules having identical shape is :
(a) $\mathrm{PCl}_{5}, \mathrm{IF}_{5}, \mathrm{XeO}_{2} \mathrm{~F}_{2}$
(b) $\mathrm{BF}_{3}, \mathrm{PCl}_{3}, \mathrm{XeO}_{3}$
(c) $\mathrm{SF}_{4}, \mathrm{XeF}_{4}, \mathrm{CCl}_{4}$
(d) $\mathrm{ClF}_{3}, \mathrm{XeOF}_{2}... | 1 |
19. A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is
(a) $\frac{M \omega^{2} L}{2}$
(b) $M \o... | 1 |
1. $\frac{2 x}{1+x^{2}}$ | 1 |
What is the difference between a #6 and a #8 in soccer/football? | 0 |
Why do many people on Quora have "atheist" in their titles? | 0 |
8. Which among the following is the most reactive?
(a) $\mathrm{I}_{2}$
(c) $\mathrm{Cl}_{2}$
(d) $\mathrm{Br}_{2}$ | 1 |
5. Let $z$ and $w$ be two non-zero complex numbers such that $|z|=|w|$ and $\arg (z)+\arg (w)=\pi$, then $z$ equals
(1995, 2M)
(a) $w$
(b) $-w$
(c) $\bar{w}$
(d) $-\bar{w}$ | 1 |
Example 2.20 If $\lim _{x \rightarrow 2} \frac{x^{n}-2^{n}}{x-2}=80$ and $n \in N$, then find the value of $n$. | 1 |
8. 12 mL of a gaseous hydrocarbon was exploded with 50 mL of oxygen. The volume measured after explosion was 32 mL . After treatment with KOH the volume diminished to 8 mL . Determine the formula of the hydrocarbon. $\left(\mathrm{C}_{2} \mathrm{H}_{6}\right)$ | 1 |
18. In a common emitter amplifier circuit using an $n-p-n$ transistor, the phase difference between the input and the output voltages will be
(a) $90^{\circ}$
(b) $135^{\circ}$
(c) $180^{\circ}$
(d) $45^{\circ}$ | 1 |
What 1925 cartoon made speech bubbles popular? | 0 |
21. If $P S$ is the median of the triangle with vertices $P(2,2)$, $Q(6,-1)$ and $R(7,3)$, then equation of the line passing through $(1,-1)$ and parallel to $P S$ is $\quad$
(a) $4 x-7 y-11=0$
(b) $2 x+9 y+7=0$
(c) $4 x+7 y+3=0$
(d) $2 x-9 y-11=0$ | 1 |
Do girls like nerdy boys? | 0 |
The Triple Entente served as a counter to what agreement? | 0 |
42. Minimum kinetic energy of the particle after collision is:
(a) $\frac{m v_{0}^{2}}{8}$
(b) $\frac{m v_{0}^{2}}{2}$
(c) $\frac{3 m v_{0}^{2}}{8}$
(d) $\frac{3}{4} m v_{0}^{2}$ | 1 |
Which is the most appropriate measure for the economic growth of a country and why? | 0 |
What is the difference between East and West Coast oysters? | 0 |
5.120. Making use of the result obtained in the foregoing problem, find the conditions defining the angular position of maxima of the first, the second, and the third order. | 1 |
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