Question stringlengths 2 3k | label int64 0 1 |
|---|---|
Example 10.30 Solve $\frac{d y}{d x}=\frac{y f^{\prime}(x)-y^{2}}{f(x)}$. | 1 |
28. Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50 m due east, then 0.80 m at $30^{\circ}$ north of due east. Beetle 2 also makes two runs; the first is 1.6 m at $40^{\circ}$ east of due north. What must be (a) the magnitude and (b) the direction of its second run if it is to end up at... | 1 |
What do you think of the move by the govt to scrap 500 & 1000 rupee notes? | 0 |
What causes people to go insane? | 0 |
19. The order of basicity among the following compounds is
(b) II $>$ I $>$ IV $>$ III $>$
(b) IV $>$ II $>$ III $>$ I
(c) IV $>$ I $>$ II $>$ III
(d) I $>$ IV $>$ III $>$ II | 1 |
Why do dentists earn more than other doctors? | 0 |
What states that deference is one way only? | 0 |
12. A diatomic gas obeys the law $p V^{x}=$ constant. For what value of $x$, it has negative molar specific heat?
(a) $x>1.4$
(b) $x<1.4$
(c) $1<x<1.4$
(d) $0<x<1$ | 1 |
Why is the one rupee-note printed by the government of India and other denominations by RBI? | 0 |
How can I get a job in Fox Traveller? | 0 |
27. If the angle between the vectors $\mathbf{A}$ and $\mathbf{B}$ is $\theta$, the value of the product $(\mathbf{B} \times \mathbf{A}) \cdot \mathbf{A}$ is equal to
(a) $B A^{2} \cos \theta$
(b) $B A^{2} \sin \theta$
(c) $B A^{2} \sin \theta \cos \theta$
(d) zero | 1 |
Can you gain lean muscle mass in a slight caloric deficit? | 0 |
10. A metal ball immersed in alcohol weighs $w_{1}$ at $0^{\circ} \mathrm{C}$ and $w_{2}$ at $50^{\circ} \mathrm{C}$. The coefficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that
(1980, 2M)
(a) $w_{... | 1 |
1. If $\alpha$ and $\beta$ are the roots of the equation $375 x^{2}-25 x-2=0$, then $\lim _{n \rightarrow \infty} \sum_{r=1}^{n} \alpha^{r}+\lim _{n \rightarrow \infty} \sum_{r=1}^{n} \beta^{r}$ is equal
to
(2019 Main, 12 April I)
(a) $\frac{21}{346}$
(b) $\frac{29}{358}$
(c) $\frac{1}{12}$
(d) $\frac{7}{116}$ | 1 |
What is the hardest thing(s) about raising children in Japan? | 0 |
What is the best way to apply for job abroad? | 0 |
How do I stop procrastinating? | 0 |
44. Equation of the plane containing the straight line $\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$ and perpendicular to the plane containing the staight lines $\frac{x}{3}=\frac{y}{4}=\frac{z}{2}$ and $\frac{x}{4}=\frac{y}{2}=\frac{z}{3}$ is
(a) $x+2 y-2 z=0$
(b) $3 x+2 y-2 z=0$
(c) $x-2 y+z=0$
(d) $5 x+2 y-4 z=0$ | 1 |
1. What is the density of lead under a pressure of $2.0 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$, if the bulk modulus of lead is $8.0 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$ and initially the density of lead is $11.4 \mathrm{~g} / \mathrm{cm}^{3}$ ? | 1 |
7. In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then find the common ratio. | 1 |
10. Each resistance of the network shown in figure is $r$. Net resistance between
(a) $a$ and $b$ is $\frac{7}{3} r$
(b) $a$ and $c$ is $r$
(c) $b$ and $d$ is $r$
(d) $b$ and $d$ is $\frac{r}{2}$
 0
(b) -4
(c) 6
(d) 1
(2019 Main, 10 April II) | 1 |
What's the worst pick up line you ever heard? | 0 |
57. The compound $(\mathrm{R})$ is
 | 1 |
Why do Chinese people eat rice as a main food? | 0 |
Where do I start in real estate? | 0 |
7. In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the wavelength $(\lambda)$ of incident light and the corresponding stopping potential... | 1 |
65. A normal at any point $(x, y)$ to the curve $y=f(x)$ cuts a triangle of unit area with the axis, the differential equation of the curve is
a. $y^{2}-x^{2}\left(\frac{d y}{d x}\right)^{2}=4 \frac{d y}{d x}$.
b. $x^{2}-y^{2}\left(\frac{d y}{d x}\right)^{2}=\frac{d y}{d x}$
c. $x+y \frac{d y}{d x}=y$
d. None of these | 1 |
14. The area of the region bounded by the curve and the line $x=-1$ is
a. $\pi+1$ sq. units
b. $\pi-1$ sq. units
c. $\frac{\pi}{2}+1$ sq. units
d. $\frac{\pi}{2}-1$ sq. units | 1 |
40. The complex showing a spin-only magnetic moment of 2.82 B.M. is :
[2010]
(a) $\left[\mathrm{Ni}(\mathrm{CO})_{4}\right]$
(b) $\left[\mathrm{NiCl}_{4}\right]^{2-}$
(c) $\left[\mathrm{Ni}\left(\mathrm{PPh}_{3}\right)_{4}\right]$
(d) $\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]^{2-}$ | 1 |
(i) $\frac{11}{16}$ | 1 |
What is the best way to be in a calorie deficit and lose weight successfully? | 0 |
What are some of the best New Years resolutions for 2017? | 0 |
3. Which of the following statements are correct?
(1) A pair of position isomers differs only in the position of the functional group(s).
(2) A pair of structural isomers has the same relative molecular mass.
(3) A pair of functional group isomers belongs to different homologous series.
(A) (1) and (2) only
(B) (1... | 1 |
\section*{Example}
A piece of metal is 3 inch (represented by in) long. What is its length in cm ? | 1 |
1. For $x \in(0, \pi)$, the equation $\sin x+2 \sin 2 x-\sin 3 x=3$ has
(a) infinitely many solutions
(b) three solutions
(c) one solution
(d) no solution | 1 |
What's the difference between int *p() and int (*p) ()? | 0 |
Along with carved ivories, what religious works of the Early Middle Ages were common? | 0 |
14. If $|a|=|b| \neq 0$ and $\bar{a} c=b \bar{c}$, then $a z+b \bar{z}+c=0$ represents
a. an ellipse
b. a circle
c. a point
d. a straight line | 1 |
Aristotle thought the soul lied in what organ? | 0 |
5. Taking the wavelength of first Balmer line in hydrogen spectrum $(n=3$ to $n=2)$ as $660 \mathrm{~nm}$, the wavelength of the $2^{\text {nd }}$ Balmer line ( $n=4$ to $n=2$ ) will be
(a) $889.2 \mathrm{~nm}$
(b) $388.9 \mathrm{~nm}$
(c) $642.7 \mathrm{~nm}$
(d) $488.9 \mathrm{~nm}$ | 1 |
Say I got an IQ of 130 as a 15 year old, what IQ score should I then expect to get when I turn 18 years old assuming I grow up healthy? | 0 |
When did the British version of cultural studies emerge? | 0 |
What is the reaction caused by magnesium carbonate and nitric acid? | 0 |
11. In a carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance $1.2 \times 10^{-10} \mathrm{~m}$. The distance of the centre of mass from the carbon atom is
(a) $0.48 \times 10^{-10} \mathrm{~m}$
(b) $0.51 \times 10^{-10} \mathrm{~m}$
(c) $0.74 \times 10^{-10} \mathrm{~m}$
(d) $0.68 \tim... | 1 |
9. A hyperbola, having the transverse axis of length 2 $\sin \theta$ is confocal with the ellipse $3 x^{2}+4 y^{2}=12$. Then its equation is
a. $x^{2} \operatorname{cosec}^{2} \theta-y^{2} \sec ^{2} \theta=1$
b. $x^{2} \sec ^{2}-y^{2} \operatorname{cosec}^{2} \theta=1$
c. $x^{2} \sin ^{2} \theta-y^{2} \cos ^{2} \theta=... | 1 |
What government body is responsible for administering other urban areas of the metropolis of Delhi? | 0 |
Who took over the remains of the Western Roman Empire? | 0 |
How do lightning arresters work? | 0 |
14. The volume of water to be added to 200 mL of seminormal HCl solution to make it decinormal is
(a) 200 mL
(b) 400 mL
(c) 600 mL
(d) 800 mL | 1 |
How many components are used in an assessment? | 0 |
3. A $4 \mu \mathrm{F}$ capacitor and a resistance of $2.5 \mathrm{M} \Omega$ are in series with $12 \mathrm{~V}$ battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor. [Given, $\ln (2)=0.693$ ]
(a) $13.86 \mathrm{~s}$
(b) $6.93 \mathr... | 1 |
3 SSM In Fig. 35-4, assume that two waves of light in air, of wavelength 400 nm , are initially in phase. One travels through a glass layer of index of refraction $n_{1}=1.60$ and thickness $L$. The other travels through an equally thick plastic layer of index of refraction $n_{2}=1.50$. (a) What is the smallest value ... | 1 |
2. Two balls $A$ and $B$ of same size are dropped from the same point under gravity. The mass of $A$ is greater than that of $B$. If the air resistance acting on each ball is same, then
(a) both the balls reach the ground simultaneously
(b) the ball $A$ reaches earlier
(c) the ball $B$ reaches earlier
(d) nothing c... | 1 |
5. The total pressure with cylinder, at the bottom of the container is
(a) $p_{0}+\frac{(6 L+H)}{4} d g$
(b) $p_{0}+\frac{(L+6 H)}{4} d g$
(c) $p_{0}+\frac{(L+3 H)}{4} d g$
(d) $p_{0}+\frac{(L+2 H)}{4} d g$ | 1 |
What are your experiences with co-working spaces? Did they deliver what you were expecting, and if not - why? | 0 |
Who rejected the proposals of Brodie and Lutyens? | 0 |
Which author was the first to use the term "British Empire"? | 0 |
Who had influenced cultural studies in the U.K? | 0 |
What are some of the most unique classical piano pieces? | 0 |
51. The standard state Gibbs energies of formation of $C$ (graphite) and $C$ (diamond) at $T=298 \mathrm{~K}$ are
$$
\begin{aligned}
& \Delta_{f} G^{\circ}[C(\text { graphite })]=0 \mathrm{~kJ} \mathrm{~mol}^{-1} \\
& \Delta_{f} G^{\circ}[C(\text { diamond })]=2.9 \mathrm{~kJ} \mathrm{~mol}^{-1}
\end{aligned}
$$
The ... | 1 |
12. The integral
is equal to
(a) $\frac{1}{3\left(1+\tan ^{3} x\right)}+C$
(b) $\frac{-1}{3\left(1+\tan ^{3} x\right)}+C$
(c) $\frac{1}{1+\cot ^{3} x}+C$
(d) $\frac{-1}{1+\cot ^{3} x}+C$... | 1 |
8 A rod of length $50 \mathrm{~cm}$ is pivoted at one end. It is raised such that if makes an angle of $30^{\circ}$ from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in $\mathrm{rad} \mathrm{s}^{-1}$ ) will be
(Take, $g=10 \mathrm{~ms}^{-2}$ )
 $\Delta \mathrm{H}$ becomes less negative as adsorption proceeds
(2) On a given adsorbent, ammonia is adsorbed more than nitrogen gas.
(3) On adsorption, the residual force acting along the surface of the adsorbent increases.
... | 1 |
What is "life" meant for? | 0 |
Why syntel declare results after 2 months? | 0 |
4 The magnitude of torque on a particle of mass $1 \mathrm{~kg}$ is 2.5 $\mathrm{N}-\mathrm{m}$ about the origin. If the force acting on it is $1 \mathrm{~N}$ and the distance of the particle from the origin is $5 \mathrm{~m}$, then the angle between the force and the position vector is (in radian)
(a) $\frac{\pi}{8}$... | 1 |
Example 3.43 Discuss the differentiability of $f(x)=|x| \sin x$
$$
+|x|-2|\operatorname{sgn}(x-2)+| x-3 \mid
$$ | 1 |
12. If $P, Q$ and $R$ represent the angles of an acute angled triangle, then the value of $\mathrm{A}=\left[\begin{array}{lll}1 & 1+\sin \mathrm{P} & \sin \mathrm{P}(1+\sin \mathrm{P}) \\ 1 & 1+\sin \mathrm{Q} & \sin \mathrm{Q}(1+\sin \mathrm{Q}) \\ 1 & 1+\sin \mathrm{R} & \sin \mathrm{R}(1+\sin \mathrm{R})\end{array}\... | 1 |
7. $5 x+1>-24,5 x-1<24$ | 1 |
30. For current entering at $A$, the electric field at a distance ' $r$ ' from $A$ is
(a) $\frac{\rho I}{8 \pi r^{2}}$
(b) $\frac{\rho I}{r^{2}}$
(c) $\frac{\rho I}{2 \pi r^{2}}$
(d) $\frac{\rho I}{4 \pi r^{2}}$ | 1 |
How do I jump among lines which are considered by Vim as a long line with HJKL? | 0 |
1. The number of elements in the set $A \cap B \cap C$ is
a. 0
b. 1
c. 2
d. $\infty$ | 1 |
6. The collector plate in an experiment on photoelectric effect is kept vertically above the emitter plate. Light source is put on and a saturation photocurrent is recorded. An electric field is switched on which has a vertically downward direction.
(a) The photocurrent will increase.
(b) The kinetic energy of the el... | 1 |
7. The acceleration of a particle is increasing linearly with time $t$ as $b t$. The particle starts from the origin with an initial velocity $v_{0}$. The distance travelled by the particle in time $t$ will be
(a) $v_{0} t+\frac{1}{6} b t^{3}$
(b) $v_{0} t+\frac{1}{3} b t^{3}$
(c) $v_{0} t+\frac{1}{3} b t^{2}$
(d) $v_{... | 1 |
What does Plutchik see as the positive equivalent of disgust? | 0 |
I have PCOS and I'm worried I might be pregnant but is it possible for a pregnancy test to say you're not even though you are? | 0 |
* 21 SSM Electric quadrupole. Figure 22-46 shows a generic electric quadrupole. It consists of two dipoles with dipole moments that are equal in magnitude but opposite in direction. Show that the value of $E$ on the axis of the quadrupole for a point $P$ a distance $z$ from its center (assume $z \gg$ $d$ ) is given by
... | 1 |
4. Second overtone frequency of a closed pipe and fourth harmonic frequency of an open pipe are same. Then, choose the correct options.
(a) Fundamental frequency of closed pipe is more than the fundamental frequency of open pipe
(b) First overtone frequency of closed pipe is more than the first overtone frequency of ... | 1 |
Many of the architectural elements of New Delhi borrow from what sources? | 0 |
Ex. 51. A solution contains a mixture of $\mathrm{Ag}^{+}(0.1 \mathrm{M})$ and $\mathrm{Hg}_{2}^{2+}(0.1 \mathrm{M})$ which are to be separated by selective precipitation. Calculate the maximum concentration of iodide ion at which one of them gets precipitated almost completely. What percentage of that metal ion is pre... | 1 |
15. $\mathrm{H}_{2} \mathrm{SO}_{4}$ cannot be used to prepare $\mathrm{HBr}$ from $\mathrm{NaBr}$ as it :
(a) reacts slowly with $\mathrm{NaBr}$
(b) oxidises $\mathrm{HBr}$
(c) reduces $\mathrm{HBr}$
(d) disproportionates $\mathrm{HBr}$ | 1 |
How did you know you found "the one"? | 0 |
What is the difference between startup incubators and accelerators? | 0 |
9. A string $1 \mathrm{~m}$ long is drawn by a $300 \mathrm{~Hz}$ vibrator attached to its end. The string vibrates in three segments. The speed of transverse waves in the string is equal to
(a) $100 \mathrm{~m} / \mathrm{s}$
(b) $200 \mathrm{~m} / \mathrm{s}$
(c) $300 \mathrm{~m} / \mathrm{s}$
(d) $400 \mathrm{~m} / \... | 1 |
18. There are two planets. The ratio of radius of the two planets is $k$ but ratio of acceleration due to gravity of both planets is $g$. What will be the ratio of their escape velocity?
(a) $(\mathrm{kg})^{1 / 2}$
(b) $(\mathrm{kg})^{-1 / 2}$
(c) $(\mathrm{kg})^{2}$
(d) $(\mathrm{kg})^{-2}$ | 1 |
11. For any positive integer $m, n$ (with $n \geq m$ ), let
$\binom{n}{m}={ }^{n} C_{m}$
Prove that
$\binom{n}{m}+\binom{n-1}{m}+\binom{n-2}{m}+\cdots+\binom{m}{m}=\binom{n+1}{m+1}$.
Hence or otherwise, prove that
$\binom{n}{m}+2\binom{n-1}{m}+3\binom{n-2}{m}+\cdots+(n-m+1)\binom{m}{m}=\binom{n+2}{m+2}$
(IIT-JEE,... | 1 |
11. As shown in Fig. 2.76, three circles which have the same radius $r$, have centres at $(0,0),(1,1)$ and $(2,1)$. If they have a common tangent line, as shown, then the value of $10 \sqrt{5} r$ is
 for the following reaction sequence
Consider $Q, R$ and $S$ as major products.
(a)
 $\mathrm{Cu}_{2} \mathrm{O}$
(b) $\mathrm{FeS}$
(c) $\mathrm{FeO}$
(d) $\mathrm{Cu}_{2} \mathrm{~S}$ | 1 |
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