Question stringlengths 2 3k | label int64 0 1 |
|---|---|
What will happen to salt water fish in fresh water? | 0 |
What sort of considerations does architectural design take into account? | 0 |
What is self locking of worm gear? | 0 |
How close is a World War III? | 0 |
Who is your favorite character on TV? | 0 |
I'm a newly married guy from India. I'm finding it difficult to balance out between my wife and mom who gets into frequent clashes. What should I do? | 0 |
16. Let $\vec{a}, \vec{b}$ and $\vec{c}$ be non-zero vectors and $\vec{V}_{1}=\vec{a} \times(\vec{b} \times \vec{c})$ and $\vec{V}_{2}=(\vec{a} \times \vec{b}) \times \vec{c}$. Vectors $\vec{V}_{1}$ and $\vec{V}_{2}$ are equal. Then
a. $\vec{a}$ and $\vec{b}$ are orthogonal
b. $\vec{a}$ and $\vec{c}$ are collinear
c. $... | 1 |
Which percentage of nations provide no direct or indirect public funding? | 0 |
3. If $a, b, c \in R$ and equations $a x^{2}+b x+c=0$ and $x^{2}+2 x+9$ $=0$ have a common root, then find $a: b: c$. | 1 |
The Sherman Antitrust Act is the source of what? | 0 |
How do you track FedEx Smartpost on USPS? | 0 |
10. A cylindrical region of radius 1 m has instantaneous homogenous magnetic field of 5 T and it is increasing at a rate of $2 \mathrm{~T} / \mathrm{s}$. A regular hexagonal loop $A B C D E F A$ of side 1 m is being drawn in to the region with a constant speed of $1 \mathrm{~m} / \mathrm{s}$ as shown in the figure. Wha... | 1 |
1. If $[x]$ denotes the greatest integer $\leq x$, then the system of liner equations $[\sin \theta] x+[-\cos \theta] y=0$, $[\cot \theta] x+y=0$
(2019 Main, 12 April II)
(a) have infinitely many solutions if $\theta \in \frac{\pi}{2}, \frac{2 \pi}{3}$ and has a unique solution if $\theta \in \pi, \frac{7 \pi}{6}$.
... | 1 |
Jobs where women are around? | 0 |
4. A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3 , keeping the number of turns of the coil per unit length of the frame the same, then the self-inductance of the coil
(a) increases by a factor ... | 1 |
22. If $A_{1}, A_{2} ; G_{1}, G_{2}$; and $H_{1}, H_{2}$ are two arithmetic, geometric and harmonic means respectively, between two quantities $a$ and $b$, then $a b$ is equal to
a. $A_{1} H_{2}$
b. $A_{2} H_{1}$
c. $G_{1} G_{2}$
d. none of these | 1 |
What is the 4th dimension? | 0 |
27. The number of solutions of $\log _{4}(x-1)=\log _{2}(x-3)$ is
(a) 3
(b) 1
(c) 2
(d) 0
(2001, 2M) | 1 |
Why is no one answering my questions in Quora? | 0 |
20. In the figure shown, a uniform magnetic field $|\mathbf{B}|=0.5 \mathrm{~T}$ is perpendicular to the plane of circuit. The sliding rod of length $l=0.25 \mathrm{~m}$ moves uniformly with constant speed $v=4 \mathrm{~ms}^{-1}$. If the resistance of the slides is $2 \Omega$, then the current flowing through the slidi... | 1 |
11. An isosceles prism of angle $120^{\circ}$ has a refractive index 1.44 . Two parallel rays of monochromatic light enter the prism parallel to each other in air as shown. The rays emerging from the opposite face
 d y=d x$ is
a. $x+y+2=C e^{y}$
b. $x+y+4=C \log y$
c. $\log (x+y+2)=C y$
d. $\log (x+y+2)=C-y$ | 1 |
In your sincere and respectful opinion, how should President George W. Bush reengage society (community, country, the world)? | 0 |
Do Hollywood studios use data analytics to drive decisions on what type of films to make that will be profitable? | 0 |
Which countries provide visa on arrival, or visa-free entry, for Indians? | 0 |
How can I spend my money wisely? | 0 |
Do you think Sex Education should be taught in schools? | 0 |
6. If $z_{1}$ and $z_{2}$ are two non-zero complex numbers such that $\left|z_{1}+z_{2}\right|=\left|z_{1}\right|+\left|z_{2}\right|$, then $\arg \left(z_{1}\right)-\arg \left(z_{2}\right)$ is equal to
(1987, 2M)
(a) $-\pi$
(b) $-\frac{\pi}{2}$
(c) 0
(d) $\frac{\pi}{2}$ | 1 |
8. Find the temperature at which oxygen molecules would have the same rms speed as of hydrogen molecules at $300 \mathrm{~K}$. | 1 |
Will Hillary be president? | 0 |
What is it like to have Mark Kisin as a Ph.D advisor? | 0 |
What happened n the battle of Plassey? | 0 |
11. The torque of force $\mathbf{F}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})$ newton acting at the point $\mathbf{r}=(3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})$ metre about origin is (in $\mathrm{N}-\mathrm{m}$ )
(a) $6 \hat{\mathbf{i}}-6 \hat{\mathbf{j}}+12 \hat{\mathbf{k}}$
(b) $17 \... | 1 |
5. The units digit of $\left[\frac{10^{20000}}{10^{100}+3}\right]$ is
(a) More than 5
(b) Less than 6
(c) is an odd number
(d) is less than 3 | 1 |
10. What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move?
(a) $20 \mathrm{~N}$
(b) $10 \mathrm{~N}$
(c) $12 \mathrm{~N}$
(d) $15 \mathrm{~... | 1 |
Is it possible to shoot yourself like the protagonist of Fight Club and survive? | 0 |
18. The oxidation number of carbon in $\mathrm{CH}_{2} \mathrm{O}$ is
(a) -2
(b) +2
(c) 0
(d) +4 | 1 |
3. Two particles $A$ and $B$ are placed in gravity free space at $(0,0,0) \mathrm{m}$ and $(30,0,0) \mathrm{m}$ respectively. Particle $A$ is projected with a velocity ( $5 \hat{\mathbf{i}}+10 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}$ ) $\mathrm{ms}^{-1}$, while particle $B$ is projected with a velocity $(10 \hat{\mathbf{i}... | 1 |
8. The total number of isotopes of hydrogen and number of radioactive isotopes among them, respectively, are:
(a) 3 and 1
(b) 3 and 2
(c) 2 and 1
(d) 2 and 0 | 1 |
13.7 A radioactive isotope has a half-life of $T$ years. How long will it take the activity to reduce to a) $3.125 \%$, b) $1 \%$ of its original value? | 1 |
36. The polymerisation of ethylene to linear polyethylene is represented by the reaction
$$
n \mathrm{CH}_{2}=\mathrm{CH}_{2} \longrightarrow\left[\mathrm{CH}_{2}-\mathrm{CH}_{2}\right]_{n}
$$
where $n$ has a large integral value. Given that the average enthalpies of bond dissociation for $\mathrm{C}=\mathrm{C}$ and ... | 1 |
26. Consider a reaction $a G+b H \rightarrow$ Products. When concentration of both the reactants $G$ and $H$ is doubled, the rate increases by eight times. However, when concentration of $G$ is doubled keeping the concentration of $H$ fixed, the rate is doubled. The overall order of the reaction is
(a) 0
(b) 1
(c) 2... | 1 |
46. If $P$ is $(3,2,6)$ is a point in space and $Q$ be a point on the line $\overrightarrow{\mathbf{r}}=(\hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}})+\mu(-3 \hat{\mathbf{i}}+\hat{\mathbf{j}}+5 \hat{\mathbf{k}})$. Then, the value of $\mu$ for which the vector $\mathbf{P Q}$ is parallel to the plane $x-4 y+3 z=1... | 1 |
In what year was Contrasts written? | 0 |
20. A block with mass $M$ is connected by a massless spring with stiffness constant $k$ to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude $A$ about an equilibrium position $x_{0}$. Consider two cases : (i) when the block is at $x_{0}$ and (ii) when the block i... | 1 |
What happens to the soul after it leaves the body? | 0 |
22. The following carbohydrate is
[2011 - II]
(a) a ketohexose
(b) an aldohexose
(c) an $\alpha$-furanose
(d) an $\alpha$-pyranose | 1 |
How should consumers of the research approach these findings? | 0 |
4. The maximum prescribed concentration of copper in drinking water is:
(a) $5 \mathrm{ppm}$
(b) $0.05 \mathrm{ppm}$
(c) $0.5 \mathrm{ppm}$
(d) $3 \mathrm{ppm}$ | 1 |
In what year was CBS the only network to also have a record company? | 0 |
2. In a projectile motion, given $H=\frac{R}{2}=20 \mathrm{~m}$. Here, $H$ is maximum height and $R$ the horizontal range. For the given condition match the following two columns.
\begin{tabular}{l|l}
\hline \multicolumn{1}{c|}{ Column I } & \multicolumn{1}{c}{ Column II } \\
\hline (a) Time of flight & (p) 1 \\
(b) R... | 1 |
Which villa project in Chennai is good? | 0 |
What do you know about Bangladesh? | 0 |
Example 4.15 If $y=\sqrt{\frac{1-x}{1+x}}$, prove that $\left(1-x^{2}\right) \frac{d y}{d x}+y=0$. | 1 |
12. An ideal gas occupies a volume of $2 \mathrm{~m}^{3}$ at a pressure of $3 \times 10^{6} \mathrm{~Pa}$. The energy of the gas is
(a) $6 \times 10^{4} \mathrm{~J}$
(b) $10^{8} \mathrm{~J}$
(c) $9 \times 10^{6} \mathrm{~J}$
(d) $3 \times 10^{2} \mathrm{~J}$ | 1 |
Why are original perfumes more expensive than clone perfumes? | 0 |
What is the best degree for product managers? | 0 |
35. The kinetic energy of a projectile at its highest position is $K$. If the range of the projectile is four times the height of the projectile, then the initial kinetic energy of the projectile is
(a) $\sqrt{2} K$
(b) $2 K$
(c) $4 K$
(d) $2 \sqrt{2} K$ | 1 |
60. Suppose the circle having equation $x^{2}+y^{2}=3$ intersects the rectangular hyperbola $x y=1$ at the points $A, B, C$ and $D$. The equation $x^{2}+y^{2}-3+\lambda(x y-1)=0, \lambda \in R$, represents
a. a pair of lines through origin for $\lambda=-3$
b. an ellipse through $A, \mathrm{~B}, C$ and $D$ for $\lambd... | 1 |
What is the best way to learn technical SEO? | 0 |
Do you think Martin Luther King Jr. would be happy if he were alive today? | 0 |
What position did Sultan Quli hold? | 0 |
9. Prove that $\sum_{r=1}^{m-1} \frac{2 r^{2}-r(m-2)+1}{(m-r)^{m} C_{r}}=m-\frac{1}{m}$. | 1 |
I don't feel like lending my hard earned money to friends when they ask for help. I lost some trust by saying no. Am I correct? | 0 |
Example 10.10 Find the moment of inertia of a uniform ring of mass M
and radius R about a diameter. | 1 |
47. In a fuel cell, hydrogen and oxygen react to produce electricity. In the process, hydrogen gas is oxidised at the anode and oxygen at the cathode. If 67.2 litre of $\mathrm{H}_{2}$ at STP react in 15 minutes, what is the average current produced? If the entire current is used for electro deposition of copper from c... | 1 |
What is it like to be a lab manager? | 0 |
What should New York, Illinois and California be using instead of codified statutes? | 0 |
9.36 What do you understand by the terms:
(i) hydrogen economy
(ii) hydrogenation
(iii) 'syngas'
(iv) water-gas shift reaction
(v) fuel-cell ? | 1 |
34. Find the eccentricity of the hyperbola
with asymptotes $3 x+4 y=2$ and $4 x-3 y=2$. | 1 |
For what culture is the Vedic period named? | 0 |
What would happen if a lower court refused to uphold a constitutional law? | 0 |
How should I find a job? | 0 |
How girls enjoy sex when they drunk? | 0 |
Is the standing room at the United Center as good as the 300 level section? | 0 |
What did Swami Vivekananda say about Buddha? | 0 |
6. A block moves in a straight line with velocity $v$ for time $t_{0}$. Then, its velocity becomes $2 v$ for next $t_{0}$ time. Finally, its velocity becomes $3 v$ for time $T$. If average velocity during the complete journey was $2.5 \mathrm{v}$, then find $T$ in terms of $t_{0}$. | 1 |
7. If the sum of $n$ terms of the series $\frac{2 n+1}{2 n-1}+3\left(\frac{2 n+1}{2 n-1}\right)^{2}$ $+5\left(\frac{2 n+1}{2 n-1}\right)^{3}+\cdots$ is 36 , then find the value of $n$. 8. Find the sum $\frac{3}{1 \times 2} \times \frac{1}{2}+\frac{4}{2 \times 3} \times\left(\frac{1}{2}\right)^{2}+\frac{5}{3 \times 4} \... | 1 |
9. Two blocks of masses $10 \mathrm{~kg}$ and $4 \mathrm{~kg}$ are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of $14 \mathrm{~m} / \mathrm{s}$ to the heavier block in the direction of the lighter block. The velocity of the centre of mass is
(a... | 1 |
Where is the best place to buy ethernet cables? | 0 |
20. Which of the following statement is not correct?
[Main Online April 25, 2013]
(a) Amylopectin is a branched polymer of $\alpha$ - glucose.
(b) Cellulose is a linear polymer of $\beta$-glucose
(c) Glycogen is the food reserve of plants
(d) All proteins are polymers of $\alpha$ - amino acids. | 1 |
1. Fundamental frequency of an open organ pipe is $f$. Match the following two columns for a closed pipe of double the length.
| Column I | | Column II | |
| :---: | :---: | :---: | :---: |
| (a) | Fundamental frequency | (p) | $1.25 f$ |
| (b) | Second overtone frequency | (q) | $f$ |
| (c) | Third harmonic frequen... | 1 |
39. Reagent $S$ is
(a) $\mathrm{K}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
(b) $\mathrm{Na}_{2} \mathrm{HPO}_{4}$
(c) $\mathrm{K}_{2} \mathrm{CrO}$
(d) $\mathrm{KOH}$ | 1 |
77. The number of integral solutions of $x+y+z=0$ with $x \geq-5$, $y \geq-5, z \geq-5$ is
a. 134
b. 136
c. 138
d. 140 | 1 |
15. A dibasic anhydrous acid produced upon combustion 0.195 g of $\mathrm{CO}_{2}$ and 0.04 g of $\mathrm{H}_{2} \mathrm{O} .0 .5 \mathrm{~g}$ of the salt of this acid when ignited, converted to 0.335 g of pure silver. Find the molecular formula of the dibasic acid.
$\left[(\mathrm{COOH})_{2}\right]$ | 1 |
What is Numaish? | 0 |
1. Match the following two columns.
| Column I | Column II | |
| :--- | :--- | :--- |
| (a) Stefan's constant | (p) $[\mathrm{L} \theta]$ | |
| (b) Wien's constant | (q) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \theta^{-2}\right]$ | |
| (c) Emissive power | (r) $\left[\mathrm{MT}^{-3}\right]$ | |
| (d) Thermal resi... | 1 |
15. $A B C D$ is a square of unit area. A circle is tangent to two sides of $A B C D$ and passes through exactly one of its vertices. The radius of the circle is
a. $2-\sqrt{2}$
b. $\sqrt{2}-1$
c. $\frac{1}{2}$
d. $\frac{1}{\sqrt{2}}$ | 1 |
5. A long horizontal rod has a bead which can slide along its length and is initially placed at a distance $L$ from one end $A$ of the rod. The rod is set in angular motion about $A$ with a constant angular acceleration $\alpha$. If the coefficient of friction between the rod and bead is $\mu$, and gravity is neglected... | 1 |
44. Extraction of copper from copper pyrite $\left(\mathrm{CuFeS}_{2}\right)$ involves
(a) crushing followed by concentration of the ore by froth-flotation
(b) removal of iron as slag
(c) self-reduction step to produce 'blister copper' following evolution of $\mathrm{SO}_{2}$
(d) refining of 'blister copper' by ca... | 1 |
10. Let $\alpha, \beta$ be the roots of $x^{2}-x+p=0$ and $\gamma, \delta$ be the roots of $x^{2}-4 x+q=0$. If $\alpha, \beta, \gamma, \delta$ are in GP, then the integer values of $p$ and $q$ respectively are
(2001, 1M)
(a) $-2,-32$
(b) $-2,3$
(c) $-6,3$
(d) $-6,-32$ | 1 |
4. The correct observation in the following reactions is :
$$
\text { Sucrose } \xrightarrow[\substack{\text { Cleavage } \\ \text { (Hydrolysis) }}]{\text { Glycosidic bond }} \mathrm{A}+\mathrm{B} \xrightarrow[\text { reagent }]{\text { Scliwanolf's }} ?
$$
[Main Sep. 02, 2020 (II)]
(a) Formation of blue colour
(... | 1 |
What is the most embarrassing moment of your life when you were a kid? | 0 |
(ii) Oxidation of a primary alcohol to aldehyde. | 1 |
My C-DAC C-CAT Aug 2016 ranking is 1028 for section A+B. Which institute in Pune will I get with this ranking? | 0 |
5.20 What would be the SI unit for the quantity $p V^{2} T^{2} / n$ ? | 1 |
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