Question stringlengths 2 3k | label int64 0 1 |
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8. Let $h(x)=\min \left\{x, x^{2}\right\}$, for every real number of $x$, then
a. $h$ is continuous for all $x$
b. $h$ is differentiable for all $x$
c. $h^{\prime}(x)=1$, for all $x>1$
d. $h$ is not differentiable at two values of $x$ | 1 |
What was a crime in the eighteenth century that could cause severe punishment but was mostly ignored? | 0 |
Who joined the Cossacks in 1648? | 0 |
What does it feel like to be a grandparent? | 0 |
What is the difference between orgasm and masturbation? | 0 |
When stock is evaluated as having a true share worth of 0$ per share, is the likelihood increased that the company was part of a Ponzi scheme? | 0 |
In what year did the jacobite rising fail? | 0 |
1. $\lim _{x \rightarrow 0} \frac{x+2 \sin x}{\sqrt{x^{2}+2 \sin x+1}-\sqrt{\sin ^{2} x-x+1}}$ is
(2019 Main, 12 April II)
(a) 6
(b) 2
(c) 3
(d) 1 | 1 |
Can you write an Android app purely in Java or do you need to know XML? Also, how long would I take to learn Android app development enough to deploy a game onto the Play Store? | 0 |
9. Let $G(x, t)$
$$
=\left\{\begin{array}{c}
x(t-1), \text { when } x \leq t \\
t(x-1), \text { when } t<x \text { and } t \text { is } \\
\text { continuous function of } x \text { in }[0,1]
\end{array}\right.
$$
If $g(x)=\int_{0}^{1} f(t) G(x, t) d t$, then
(a) $g(0)+g(1)=0$
(b) $g(0)=0$
(c) $g(1)=1$
(d) $g^{\prime... | 1 |
How good is Informatica as a career? | 0 |
Aside from skills, what is required in order to have the means for building? | 0 |
3. As compared to ${ }^{12} \mathrm{C}$ atom, ${ }^{14} \mathrm{C}$ atom has
(a) two extra protons and two extra electrons
(b) two extra protons but no extra electron
(c) two extra neutrons and no extra electron
(d) two extra neutrons and two extra electrons. | 1 |
4. Which of the following is true?
a. $g(x)$ is decreasing in $\left(\frac{\pi}{4}, \frac{\pi}{2}\right)$
b. $g(x)$ increasing in $\left(0, \frac{\pi}{4}\right)$
c. $g(x)$ is monotonically increasing
d. None of these | 1 |
How can I study? | 0 |
Which city is the capital of Telangana? | 0 |
How do I actually lose weight? | 0 |
What do you think the cutoff of KVPY 2016 SA would be? | 0 |
- Problem 8.1
In the reactions given below, identify the species undergoing oxidation and reduction:
(i) $\mathrm{H}_2 \mathrm{~S}$ (g) $+\mathrm{Cl}_2$ (g) $\rightarrow 2 \mathrm{HCl}$ (g) +S (s)
(ii) $3 \mathrm{Fe}_3 \mathrm{O}_4$ (s) +8 Al (s) $\rightarrow 9 \mathrm{Fe}$ (s) $+4 \mathrm{Al}_2 \mathrm{O}_3(\mathrm... | 1 |
2. At room temperature, a dilute solution of urea is prepared by dissolving $0.60 \mathrm{~g}$ of urea in $360 \mathrm{~g}$ of water. If the vapour pressure of
pure water at this temperature is $35 \mathrm{mmHg}$, lowering of vapour pressure will be :
(molar mass of urea $=60 \mathrm{~g} \mathrm{~mol}^{-1}$ )
(a... | 1 |
What are good things to buy while in Japan? | 0 |
11. In the circuit shown, initially there is no charge on capacitors and keys $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ are open. The values of the capacitors are $C_{1}=10 \mu F, C_{2}=30 \mu F$ and $C_{3}=C_{4}=80 \mu F$
 The two bodies will reach the same height.
(b) $A$ will go higher than $B$.
(c) $B$ will go higher tha... | 1 |
5. Two boys $A$ and $B$ of masses $30 \mathrm{~kg}$ and $60 \mathrm{~kg}$ are standing over a plank $C$ of mass $30 \mathrm{~kg}$ as shown. Ground is smooth. Match the displacement of plank of Column II with the conditions given in Column I.
 the solid sphere
(b) ... | 1 |
How does the office of a RBI Grade B Manager look like? | 0 |
28. The dominant mechanisms for motion of charge carriers in forward and reverse biased silicon $p$ - $n$ junctions are
(a) drift in forward bias, diffusion in reverse bias.
(b) diffusion in forward bias, drift in reverse bias.
(c) diffusion in both forward and reverse bias.
(d) drift in both forward and reverse ... | 1 |
Which is the best Networking institute in bangalore for CCNP? | 0 |
16. The number of values of $c$ such that the straight line $y=4 x+c$ touches the curve $\frac{x^{2}}{4}+y^{2}=1$ is
(a) 0
(b) 2
(c) 1
(d) $\infty$ | 1 |
16. Given :
(I) $\mathrm{H}_{2}(\mathrm{~g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(l)$
$$
\Delta \mathrm{H}^{\circ}{ }_{298 \mathrm{~K}}=-285.9 \mathrm{~kJ} \mathrm{~mol}^{-1}
$$
(II) $\mathrm{H}_{2}(\mathrm{~g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{H}_{... | 1 |
What is the connection between these two male tennis players? | 0 |
15. Which of the following sets of quantum numbers is possible for an electron in a $4 f$ orbital
(a) $n=4, l=2, m=2, s=+\frac{1}{2}$
(b) $n=4, l=4, m=+4, s=+\frac{1}{2}$
(c) $n=4, l=3, m=+1, s=-\frac{1}{2}$
(d) $n=4, l=3, m=4, s=+\frac{1}{2}$ | 1 |
For each drawing, try to draw’ the curved arrow’s that get you from one drawing to the next. In many cases
you will need to draw more than one arrow.  | 1 |
8. Two ions have equal masses but one is singly-ionized and the other is doubly-ionized. They are projected from the same place in a uniform magnetic field with the same velocity perpendicular to the field.
(a) Both ions will go along circles of equal radii.
(b) The circle described by the singly-ionized charge will ... | 1 |
5. 1 coulomb of electricity produces $m \mathrm{~kg}$ of a substance $X$. Electrochemical equivalent of $X$ is
(a) $m$
(b) $m \times 10^{3}$
(c) $\mathrm{m} \times 10^{-3}$
(d) all wrong | 1 |
What was a term for an architect who catered to the wealthy? | 0 |
If a gun was pointed at your head, what would run through your mind? | 0 |
Who is Anonymous on Quora? | 0 |
Ex 2.70 $C_{1}$ and $C_{2}$ are circles of unit radius with
centres at $(0,0)$ and $(1,0)$, respectively. $C_{3}$ is a circle of unit radius, passes through the centres of the circles $C_{1}$ and $C_{2}$ and have its centre above $x$-axis. Find the equation of the common tangent to $C_{1}$ and $C_{3}$ which does not ... | 1 |
Flying: Will the world need pilots in the future? | 0 |
Example 1.32 Solve
$$
\sqrt{x+3-4 \sqrt{x-1}}+\sqrt{x+8-6 \sqrt{x-1}}=1
$$ | 1 |
3. The distance of a point on the ellipse $\frac{x^{2}}{6}+\frac{y^{2}}{2}=1$ from the centre is 2 . Then the eccentric angle of the point is
a. $\frac{\pi}{4}$
b. $\frac{3 \pi}{4}$
c. $\frac{5 \pi}{6}$
d. $\pi / 6$ | 1 |
20. The coefficient of $x$ in $f(x)$ is
a. $2^{a}$
b. $2^{a}-3 \times 2^{b}+1$
c. $\mathrm{O}$
d. none of these | 1 |
What Persian king wanted tribute from the tribes of northern India? | 0 |
54. Many elements have non-integral atomic masses because:
(a) they have isotopes
(b) their isotopes have non-integral masses
(c) their isotopes have different masses
(d) the constitutents, neutrons, protons and electrons, combine to give fractional masses | 1 |
Example 6.47 Prove that $\sqrt{10}\left[(\sqrt{10}+1)^{100}-(\sqrt{10}-1)^{100}\right]$
is an even integer.$$
\begin{aligned} | 1 |
28. The temperature coefficient of a galvanic cell is $+5.0 \times 10^{-5} \mathrm{VK}^{-1}$. During the discharge of the cell, the cell temperature
(a) increases
(b) decreases
(c) does not change
(d) first increases and then decreases | 1 |
(a) | 1 |
10. Which of the following is not oxidized by $\mathrm{O}_{3}$ ?
(a) $\mathrm{KI}$
(b) $\mathrm{FeSO}_{4}$
(c) $\mathrm{KMnO}_{4}$
(d) $\mathrm{K}_{2} \mathrm{MnO}_{4}$ | 1 |
20. Which of the following is an example of homoleptic complex?
[Main Online April 10, 2016]
(a) $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right] \mathrm{Cl}_{3}$
(b) $\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right]$
(c) $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{C... | 1 |
22. Optically active 2-iodobutane on treatment with $\mathrm{NaI}$ in acetone gives a product which does not show optical activity. Explain briefly.
[1995 - 2 Marks] | 1 |
23. The electric field of a plane polarised electromagnetic wave in free space at time $t=0$ is given by an expression.
$$
\mathbf{E}(x, y)=10 \hat{\mathbf{j}} \cos [(6 x+8 z)]
$$
The magnetic field $\mathbf{B}(x, z, t)$ is given by (where, $c$ is the velocity of light)
(a) $\frac{1}{c}(6 \hat{\mathbf{k}}-8 \hat{\... | 1 |
Why do men pay for sex? | 0 |
23. A particle of charge $-q$ and mass $m$ moves in a circle of radius $r$ around an infinitely long line charge of linear charge density $+\lambda$. Then, time period will be
(a) $T=2 \pi r... | 1 |
On which date is the annual Republic Day parade held in New Delhi? | 0 |
(c) find the wavelength of the radiation emitted when the $\mu$-meson jumps from the third orbit to the first orbit. | 1 |
4. Suppose a liquid in a container is heated at the top rather than at the bottom. What is the main process by which the rest of the liquid becomes hot? | 1 |
7. Let the vectors $\vec{a}, \vec{b}, \vec{c}$ be given as $a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k}, b_{1} \hat{i}+b_{2} \hat{j}+b_{3} \hat{k}$, $c_{1} \hat{i}+c_{2} \hat{j}+c_{3} \hat{k}$. Then show that $\vec{a} \times(\vec{b}+\vec{c})=\vec{a} \times \vec{b}+\vec{a} \times \vec{c}$. | 1 |
3. The lines $3 x-4 y+4=0$ and $6 x-8 y-7=0$ are tangents to the same circle. The radius of this circle is . $\qquad$
(IIT-JEE, 1984) | 1 |
What kind of patients mostly die in a hospital? | 0 |
23. The coordination number of a metal crystallizing in a hexagonal close-packed structure is
[1999 - 2 Marks]
(a) 12
(b) 4
(c) 8
(d) 6 | 1 |
What publicly traded companies do Founders Fund have a stake in other than Facebook? | 0 |
95. Find the mutual inductance between the straight wire and the square loop of figure (38-E27). | 1 |
10. Two concave refracting surfaces of equal radii of curvature face each other in air as shown in figure. A point object $O$ is placed midway between the centre and one of the poles. Then the separation between the images of $O$ formed by each refracting surface is
 would be ( $i=$ current in each wire)
(a) $\frac{\mu_{0} i}{2 \pi a}(\hat{\mathbf{j}}-\hat{\mathbf{i}})$
(b) $\frac{\mu_{0} i}{2 \pi a}(\hat{\mathbf{i}}-\hat{\mathbf{j}})$
(c... | 1 |
Hyderabad city became the capital of what state in the mid 20th century? | 0 |
What are some things new employees should know going into their first day at SM Energy? | 0 |
I am a second year chemical engineering student and am about to visit a pharma industry for IV. What are the things I am supposed to know? | 0 |
I do not have grades. Can I get admission in the tops B- schools only with a CAT percentile? | 0 |
Could anyone else explain Spoj GSS1 problem by drawing a segment tree? | 0 |
What was the first empire to unify India? | 0 |
Should I learn Bootstrap or use my own CSS? | 0 |
17. A spherical metal shell $A$ of radius $R_{A}$ and a solid metal sphere $B$ of radius $R_{B}\left(<R_{A}\right)$ are kept far apart and each is given charge $+Q$. Now they are connected by a thin metal wire. Then
(a) $E_{A}^{\text {inside }}=0$
(b) $Q_{A}>Q_{B}$
(c) $\frac{\sigma_{A}}{\sigma_{B}}=\frac{R_{B}}{R_{A}}... | 1 |
What are the best DIY ideas from waste paper? | 0 |
How does the demonetized notes of 500 and 1000 effect the real estate? | 0 |
What was the title of Pippin? | 0 |
11. For the three events $A, B$ and $C, P$ (exactly one of the events $A$ or $B$ occurs) $=P$ (exactly one of the two events $B$ or $C$ occurs) $=P$ (exactly one of the events $C$ or $A$ occurs) $=p$ and $P$ (all the three events occur simultaneously) $=p^{2}$, where $0<p<1 / 2$. Then the probability of at least one of... | 1 |
Can you tell me a simple algorithm to use in MT4, p.ex. to close with 3 pips profit or 1 pip debt with EUR/USD? | 0 |
76. Cards are drawn one by one without replacement from a pack of 52 cards. The probability that 10 cards will precede the first ace is
a. $241 / 1456$
b. $164 / 4165$
c. $451 / 884$
d. none of these | 1 |
1. In an experiment, brass and steel wires of length $1 \mathrm{~m}$ each with areas of cross-section $1 \mathrm{~mm}^{2}$ are used. The wires are connected in series and one end of the combined wire is connected to a rigid support and other end is subjected to elongation. The stress requires to produce a net elongatio... | 1 |
I wasn't offered a position at Google after my third interview. The recruiter told me to continue applying. Should I continue applying or was this just a nice way to decline me? | 0 |
How will I change Google custom search engine to Google Chrome? | 0 |
10. $18 \mathrm{~g}$ glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ is added to $178.2 \mathrm{~g}$ water. The vapour pressure of water (in torr) for this aqueous solution is:
(a) 752.4
(b) 759.0
(c) 7.6
(d) 76.0 | 1 |
Why do weaboos like Japan so much? | 0 |
45. A line with positive direction cosines passes through the point $P(2,-1,2)$ and makes equal angles with the coordinate axes. The line meets the plane $2 x+y+z=9$ at point $Q$. The length of the line segment $P Q$ equals
(a) 1
(b) $\sqrt{2}$
(c) $\sqrt{3}$
(d) 2 | 1 |
29. $\lim _{x \rightarrow \infty}\left(\frac{x^{2}+2 x-1}{2 x^{2}-3 x-2}\right)^{\frac{2 x+1}{2 x-1}}$ is equal to
a. 0
h. $\infty$
c. $1 / 2$
d None of these | 1 |
What is the best way to microwave fish fingers? | 0 |
1. If the chords of contact of tangents from two points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ to the ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ are at right angles, then find the value of $\frac{x_{1} x_{2}}{y_{1} y_{2}}$. | 1 |
1. Number of ways in which three numbers in A.P. can be selected from $1,2,3, \ldots, n$ is
a. $\left(\frac{n-1}{2}\right)^{2}$ if $n$ is even
b. $\frac{n(n-2)}{4}$ if $n$ is even
c. $\frac{(n-1)^{2}}{4}$ if $n$ is odd
d. none of these | 1 |
Which programming language should we use to code for drones? | 0 |
5. $\lim _{x \rightarrow \frac{\pi}{4}} \frac{\cot ^{3} x-\tan x}{\cos x+\frac{\pi}{4}}$ is
(2019 Main, 12 Jan I)
(a) $4 \sqrt{2}$
(b) 4
(c) 8
(d) $8 \sqrt{2}$ | 1 |
Under the 2nd Amendment, can I carry a sword? | 0 |
What withdrew the political boundaries of West Asia? | 0 |
What is this SAP software? | 0 |
13. A nonmonochromatic light is used in an experiment on photoelectric effect. The stopping potential
(a) is related to the mean wavelength
(b) is related to the longest wavelength
(c) is related to the shortest wavelength
(d) is not related to the wavelength. | 1 |
How does global warming affect the deciduous forest's locations? | 0 |
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