Question stringlengths 2 3k | label int64 0 1 |
|---|---|
What monastic order did Bernard of Clairvaux belong to? | 0 |
115. There are four letters and four directed envelopes. The number of ways in which all the letters can be put in the wrong envelope is
a. 8
b. 9
c. 16
d. none of these | 1 |
10. Let $k_{1}, k_{2}$ be two integers such that $(n-a)$ ! $=(n-b)$ !, $2 a+1=k_{1} n+k_{2} \forall n$ where $a<b \leq n$ and $a, b, n \in N$. Let P and Q be two points on the curve $y=\log _{1 / 2}\left(x+k_{2} / 2\right)+\log _{2}\left(\sqrt{4 x^{2}+4 k_{2} x+k_{1}+k_{2}}\right)$. Point P also lies on the circle $x^{... | 1 |
What stimuli did men show no arousal towards? | 0 |
What is pantheism? | 0 |
5. When a ferromagnetic material goes through a hysteresis loop, the magnetic susceptibility
(a) has a fixed value
(b) may be zero
(c) may be infinity
(d) may be negative. | 1 |
Who noted that 14th century monks bought books in shops? | 0 |
How to invest 20000? | 0 |
Are Lord Shiva and Lord Vishnu the same? | 0 |
15. Prove that in the expansion of $(1+x)^{n}(1+y)^{n}(1+z)^{n}$, the sum of the coefficients of the terms of degree $r$ is ${ }^{3 n} C_{r}$. | 1 |
5. 2.1 g of Fe combines with S evolving 3.77 kJ . The heat of formation of FeS in $\mathrm{kJ} /$ mole is
(a) -3.77
(b) -1.79
(c) $-100 \cdot 5$
(d) none of these | 1 |
What is the best old luxury car? | 0 |
2. A proton exerts a force on a proton which is
(a) gravitational
(b) electromagnetic
(c) nuclear
(d) weak. | 1 |
33. ${ }^{227} \mathrm{Ac}$ has a half-life of 21.8 years with respect to radioactive decay. The decay follows two parallel paths, one leading to ${ }^{227} \mathrm{Th}$ and the other to ${ }^{223} \mathrm{Fr}$. The percentage yields of these two daughter nuclides
are 1.2 and 98.8 respectively. What are the decay const... | 1 |
20. If $f(a)=2, f^{\prime}(a)=1, g(a)=-1, g^{\prime}(a)=2$, then the value of $\lim _{x \rightarrow a} \frac{g(x) f(a)-g(a) f(x)}{x-a}$ is
$(1983,1 M)$
(a) -5
(b) $\frac{1}{5}$
(c) 5
(d) None of these | 1 |
Where is my other gmail accounts? | 0 |
2. A human wave. During sporting events within large, densely packed stadiums, spectators will send a wave (or pulse) around the stadium (Fig. 16-29). As the wave reaches a group of spectators, they stand with a cheer and then sit. At is studied while moving from A
to B. The potential
(a) continuously increases
(b) continuously decreases
(c) increases then decreases
(d) decreases then increases. | 1 |
13. A compound with molar mass 180 is acylated with $\mathrm{CH}_{3} \mathrm{COCl}$ to get a compound with molar mass 390 . The number of amino groups present per molecule of the former compound is
(a) 2
(b) 5
(c) 4
(d) 6 | 1 |
25. The reaction of $\mathrm{P}_{4}$ with $X$ leads selectively to $\mathrm{P}_{4} \mathrm{O}_{6}$. The $X$ is
(a) Dry $\mathrm{O}_{2}$
(b) A mixture of $\mathrm{O}_{2}$ and $\mathrm{N}_{2}$
(c) Moist $\mathrm{O}_{2}$
(d) $\mathrm{O}_{2}$ in the presence of aqueous $\mathrm{NaOH}$ | 1 |
Which is the best MPSC coaching Classes in Pune? | 0 |
Which site provides free online movies? | 0 |
14. Let $\alpha, \beta$ and $\gamma$ be some angles in the first quadrant satisfying $\tan (\alpha+\beta)=15 / 8$ and $\operatorname{cosec} \gamma=17 / 8$, then which of the following hold(s) good?
a. $\alpha+\beta+\gamma=\pi$
b. $\cot \alpha \cot \beta \cot \gamma=\cot \alpha+\cot \beta+\cot \gamma$
c. $\tan \alpha+\t... | 1 |
If you could live for 100,000 years what would you do with your time? | 0 |
4. Find the middle term in the expansion of $\left(x^{2}+\frac{1}{x^{2}}+2\right)^{n}$. | 1 |
How can I open E-Cell (Entrepreneurship Cell) in my college? | 0 |
Is it true that Jesus said that he was "a son of God", not "the son of God"? | 0 |
(b) Calculate the angular magnification in this case. | 1 |
Who led the British government elected in 1945? | 0 |
Which best sites to download movies? | 0 |
Why does cooking help to preserve food? | 0 |
16. Let $T$ be the line passing through the points $P(-2,7)$ and $Q(2,-5)$. Let $F_{1}$ be the set of all pairs of circles $\left(S_{1}, S_{2}\right)$ such that $T$ is tangent to $S_{1}$ at $P$ and tangent to $S_{2}$ at $Q$, and also such that $S_{1}$ and $S_{2}$ touch each other at a point, say $M$. Let $E_{1}$ be the... | 1 |
Where did 'Britain's Waterloo' occur? | 0 |
6. The function $f(x)=\frac{\log (1+a x)-\log (1-b x)}{x}$ is not defined at $x=0$. The value which should be assigned to $f$ at $x=0$, so that it is continuous at $x=0$, is
(a) $a-b$
(b) $a+b$
(c) $\log a+\log b$
(d) None of these
$(1983,1 \mathrm{M})$ | 1 |
4. A cone made of insulating material has a total charge $Q$ spread uniformly over its sloping surface. Calculate the work done in bringing a small test charge $q$ from infinity to the apex of the cone. The cone has a slope length $L$. | 1 |
Which institutes in India offer best distance learning MBA Programs? | 0 |
26. Write down the heterogeneous catalyst involved in the polymerisation of ethylene.
[2003 - 2 Marks]" | 1 |
5.
| Column I | Column $\boldsymbol{l}$ |
| :--- | :--- |
| a. If $\|z-2 i\|+\|z-7 i\|=k$, then locus of $z$ is an | |
| ellipse if $k=$ | p. 7 |
| b. If $\|(2 z-3) /(3 z-2)\|=k$, then locus of $z$ is a | |
| circle if $2 / 3$ is a point inside circle and $3 / 2$ is | |
| outside the circle if $k=$ | q. 8 |
| c. I... | 1 |
What diet plan and exercise routine one should follow to reduce belly fat and have six pack abs? | 0 |
I am an amateur photographer looking to put up my pictures up for an exhibition. How do I do this? | 0 |
32. If $\int_{0}^{1} \cot ^{-1}\left(1-x+x^{2}\right) d x=\lambda \int_{0}^{1} \tan ^{-1} x d x$, then $\lambda$ is equal to
a. 1
b. 2
c. 3
d 4 | 1 |
Why is Yagami Light called Light? | 0 |
2. The elastic limit of brass is $379 \mathrm{MPa}$. What should be the minimum diameter of a brass rod, if it is to support a $400 \mathrm{~N}$ load without exceeding its elastic limit?
(2019 Main, 10 April II)
(a) $0.90 \mathrm{~mm}$
(b) $1.00 \mathrm{~mm}$
(c) $1.16 \mathrm{~mm}$
(d) $1.36 \mathrm{~mm}$ | 1 |
16. The value of $\left({ }^{21} C_{1}-{ }^{10} C_{1}\right)+\left({ }^{21} C_{2}-{ }^{10} C_{2}\right)$ $+\left({ }^{21} C_{3}-{ }^{10} C_{3}\right)+\left({ }^{21} C_{4}-{ }^{10} C_{4}\right)+\ldots+\left({ }^{21} C_{10}-{ }^{10} C_{10}\right)$ is
(a) $2^{21}-2^{11}$
(b) $2^{21}-2^{10}$
(c) $2^{20}-2^{9}$
(d) $2^{20}-... | 1 |
Why don't people upvote my answers on Quora? | 0 |
1. The intensity of each of the two slits in Young's double slit experiment is $I_{0}$. Calculate the minimum separation between the two points on the screen where intensities are $2 I_{0}$ and $I_{0}$. Given, the fringe width equal to $\beta$.
(a) $\frac{\beta}{4}$
(b) $\frac{\beta}{3}$
(c) $\frac{\beta}{12}$
(d) None... | 1 |
25. If $f(x)=\sqrt[n]{x^{m}}, n \in N$, is an even function, then $m$ is
a. even integer
b. odd integer
c. any integer
d. $f(x)$-even is not possible | 1 |
22. If $f(x)=\frac{e^{x}}{1+e^{x}}, I_{1}=\int_{f(-a)}^{f(a)} x g(x(1-x)) d x$ and
$$
\begin{aligned}
& I_{2}=\int_{f(-a)}^{f(a)} g(x(1-x)) d x, \text { then the value of } \frac{I_{2}}{I_{1}} \text { is } \\
& \begin{array}{llll}
\text { a. }-1 & \text { b. }-2 & \text { c. } 2 & \text { d. } 1
\end{array}
\end{align... | 1 |
50. On Mulliken scale, the average of ionization potential and electron affinity is known as $\qquad$ (i) Hill in the Blanks 50. On Mulliken scale, the average affinity is known as ............... | 1 |
What are the best businesses for entrepreneurs? | 0 |
Which is the most upvoted blog post on Quora? | 0 |
18. A particle of mass $0.1 \mathrm{~kg}$ moving at an initial speed $v$ collides with another particle of same mass kept initially at rest. If the total energy becomes $0.2 \mathrm{~J}$ after the collision, what would be the minimum and maximum values of $v$ ? | 1 |
6. Calculate the capacitance of a parallel plate condenser, with plate area $A$ and distance between plates $d$, when filled with a dielectric whose dielectric constant varies as:
$$
\begin{aligned}
& \epsilon(x)=\epsilon_{0}+\beta x, 0<x<\frac{d}{2} \\
& \in(x)=\epsilon_{0}+\beta(d-x), \frac{d}{2}<x<d
\end{aligned}
$... | 1 |
When was the right of Dominions to determine their own foreign policy recognized? | 0 |
What would you ban in Pakistan if you had a chance? | 0 |
1. Arrange the following bonds according to their average bond energies in descending order: $\mathrm{C}-\mathrm{Cl}, \mathrm{C}-\mathrm{Br}, \mathrm{C}-\mathrm{F}, \mathrm{C}-\mathrm{I}$
(a) $\mathrm{C}-\mathrm{F}>\mathrm{C}-\mathrm{Cl}>\mathrm{C}-\mathrm{Br}>\mathrm{C}-\mathrm{I}$
(b) $\mathrm{C}-\mathrm{Br}>\mathr... | 1 |
What is the best Google product to be used by an autistic person? | 0 |
11. If $f(x)=x e^{x(x-1)}$, then $f(x)$ is
a. increasing on $[-1 / 2,1]$
b. decreasing on $R$
c. increasing on $R$
d. decreasing on $[-1 / 2,1]$
1 and let $m(b)$ be the minimum | 1 |
5. Figure (18-Q2) shows two rays $A$ and $B$ being reflected by a mirror and going as $A^{\prime}$ and $B^{\prime}$. The mirror
(a) is plane
(b) is convex
(c) is concave
(d) may be any spherical mirror.
 $\beta^{+}$-decay of ${ }_6^{11} \mathrm{C}$ | 1 |
Why do people with mental illness feel insulted when it's pointed out that Trump is a narcissist? | 0 |
27. The vapour pressure of pure benzene is $639.7 \mathrm{~mm}$ of mercury and the vapour of a solution of a solute in benzene at the same temperature is $631.9 \mathrm{~mm}$ of mercury. Calculate the molality of the solution. | 1 |
14.11 What are essential and non-essential amino acids? Give two examples of each type. | 1 |
8. Find the value of $\left|\begin{array}{ccc}y z & z x & x y \\ p & 2 q & 3 r \\ 1 & 1 & 1\end{array}\right|$, where $x, y, z$ are respectively $p^{\mathrm{th}},(2 q)^{\mathrm{th}}$ and $(3 r)^{\mathrm{th}}$ terms of an H.P. | 1 |
What is habitat? | 0 |
Why do people move their arms while walking? | 0 |
10. The number of isomers for the compound with molecular formula $\mathrm{C}_{2} \mathrm{BrCIFI}$ is :
(A) 2
(B) 3
(C) 5
(D) 6 | 1 |
How can I hack my husband WhatsApp? | 0 |
What are the strongest majors in terms of job prospects and what are the weakest majors at Armstrong State? | 0 |
*14 In Fig. 30-42a, a uniform magnetic field $\vec{B}$ increases in magnitude with time $t$ as given by Fig. 30-42b, where the vertical axis scale is set by $B_s=9.0 \mathrm{mT}$ and the horizontal scale is set by $t_3=3.0 \mathrm{~s}$ A circular conducting loop of area $8.0 \times 10^{-4} \mathrm{~m}^2$ lies in the fi... | 1 |
7. The ion that has $s p^{3} d^{2}$ hydridisation for the central atom, is:
(a) $\left[\mathrm{ICl}_{4}\right]^{-}$
(b) $\left[\mathrm{ICl}_{2}\right]^{-}$
(c) $\left[\mathrm{IF}_{6}\right]^{-}$
(d) $\left[\mathrm{BrF}_{2}\right]^{-}$ | 1 |
What role does got serve in a sexual intercourse? | 0 |
9. The adjoining figure shows an $\mathrm{AC}$ circuit with resistance $R$, inductance $L$ and source voltage $V_{s}$. Then,
(a) the source voltage $V_{s}=72.8 \mathrm{~V}$
(b) the phase ... | 1 |
Atheism: Can those, who believe there is a spirit that exists beyond the body, be considered atheists? | 0 |
5.6 What do you understand by activation of adsorbent? How is it achieved? | 1 |
14. The work done to split a liquid drop of radius $R$ into $N$ identical drops is (take $\sigma$ as the surface tension of the liquid)
(a) $4 \pi R^{2}\left(N^{1 / 3}-1\right) \sigma$
(b) $4 \pi R^{2} N \sigma$
(c) $4 \pi R^{2}\left(N^{1 / 2}-1\right)$
(d) None of these | 1 |
When did England first establish a colony in St. Lucia? | 0 |
Why does honey never rot? | 0 |
What is the maximum speed for buses in Hyderabad? | 0 |
Should I invest? | 0 |
Why is the United Nations bad? | 0 |
What are the best Telugu action films to watch out for in 2015? | 0 |
In your personal opinion, what portion of the HP and the Deathly Hallows book is the most suspenseful and could be considered the climax? | 0 |
11. The charge on a capacitor plate in a circuit as a function of time is shown in the figure.
What is the value of current at $t=4 \mathrm{~s}$ ?
(a) $2 \mu \mathrm{A}$
(b) $1.5 \mu \mat... | 1 |
Are there any good pro-sexist arguments? | 0 |
6. A particle moves rectilinearly with initial velocity $u$ and constant acceleration $a$. Find the average velocity of the particle in a time interval from $t=0$ to $t=t$ second of its motion. | 1 |
- Example 19 If $r=5 \times 10^{-4} \mathrm{~m}, \rho=10^{3} \mathrm{~kg} \mathrm{~m}^{-3}, \mathrm{~g}=10 \mathrm{~ms}^{-2}$, $T=0.11 \mathrm{Nm}^{-1}$, the radius of the drop when it detaches from the dropper is approximately
(a) $1.4 \times 10^{-3} \mathrm{~m}$
(b) $3.3 \times 10^{-3} \mathrm{~m}$
(c) $2.0 \times... | 1 |
13. Suppose that $f(0)=0$ and $f^{\prime}(0)=2$, and let $g(x)=f(-x+$ $f(f(x))$ ). The value of $g^{\prime}(0)$ is equal to | 1 |
18. The equation of the lines parallel to $x-2 y=1$ which touches (touch) the circle $x^{2}+y^{2}-4 x-2 y-15=0$ is (are)
a. $x-2 y+2=0$
b. $x-2 y-10=0$
c. $x-2 y-5=0$
d. $x-2 y+10=0$ | 1 |
What type of property are trademarks and copyrights? | 0 |
4. The value of the expression $\sin ^{-1}\left(\sin \frac{22 \pi}{7}\right)+\cos ^{-1}\left(\cos \frac{5 \pi}{3}\right)+\tan ^{-1}\left(\tan \frac{5 \pi}{7}\right)+\sin ^{-1}(\cos 2)$ is
a. $\frac{17 \pi}{42}-2$
b-2$
c. $\frac{-\pi}{21}-2$
d. none of these | 1 |
5. The value of least term in the expansion is
a. 16
b. 160
c. 32
d. 81 | 1 |
Sample Problem 17.05 Resonance between pipes of different lengths
Pipe $A$ is open at both ends and has length $L_{A}=0.343 \mathrm{~m}$. We want to place it near three other pipes in which standing waves have been set up, so that the sound can set up a standing wave in pipe $A$. Those other three pipes are each close... | 1 |
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