Question stringlengths 2 3k | label int64 0 1 |
|---|---|
How do you know if you are bipolar? | 0 |
10. If $x^{2}+y^{2}=1$, then
a. $y y^{\prime \prime}-2\left(y^{\prime}\right)^{2}+1=0$
b. $y y^{\prime \prime}+\left(y^{\prime}\right)^{2}+1=0$
c. $y y^{\prime \prime}+\left(y^{\prime}\right)^{-2}-1=0$
d. $y y^{\prime \prime}+2\left(y^{\prime}\right)^{2}+1=0$
TTT_TEE 9 MM | 1 |
Is victim mentality a behavior more performed by women? | 0 |
7. By what distance the centre of mass of the rod shifts during this time?
(a) $\frac{8 L}{3}$
(b) $\frac{4 L}{3}$
(c) $L$
(d) $\frac{L}{3}$ | 1 |
How can I reduce tummy fat? | 0 |
Which is easier, web designing or development? | 0 |
Is clinical depression the result of a chemical imbalance or something else? | 0 |
What concerns did both the American Psychological Association and the Royal College of PSychiatrist have with NARTH? | 0 |
24. If the sum of the deviations of 50 observations from 30 is 50 , then the mean of these observations is
(a) 50
(b) 30
(c) 51
(d) 31 | 1 |
1. Let $f(x)$ is defined as follows :
$$
f(x)=\left\{\begin{array}{cl}
(\cos x-\sin x)^{\operatorname{cosec} x} & ,-\frac{\pi}{2}<x<0 \\
a & , \quad x=0 \quad ; \text { If } f(x) \text { is continuous at } x=0, \text { find } a \text { and } b \\
\frac{e^{1 / x}+e^{2 / x}+e^{3 / x}}{a e^{2 / x}+b e^{3 / x}} & , 0<x<\fr... | 1 |
What are all of the states of matter? | 0 |
47. Match the type of interaction in column A with the distance dependence of their interaction energy in column $B$ :
[Main Sep. 02, 2020 (II)]
(a) (I)-(B), (II)-(D), (III)-(C)
(b) (I)-(A), (II)-(B), (III)-(D)
(c) ... | 1 |
What are some alternatives to bigtent.com? | 0 |
How can I improve my tennis skills? | 0 |
Who makes the best white shirts for men? | 0 |
Which companies in the UK give Indian Java Developer visa sponsorship? | 0 |
Which is best place in delhi to buy leather bags? | 0 |
21. Natural glucose is termed D-glucose because :
[Main Online April 23, 2013]
(a) $-\mathrm{OH}$ on the second carbon is on the right side in Fischer projection
(b) $-\mathrm{OH}$ on the sixth carbon is on the right side in Fischer projection.
(c) $-\mathrm{OH}$ on the fifth carbon is on the right side in Fischer ... | 1 |
Why we should read Quora? | 0 |
47. The fractional part of $2^{4 n} /15$ is $(n \in N)$
a. $\frac{1}{15}$
b. $\frac{2}{15}$
c. $\frac{4}{15}$
d. none of these | 1 |
22. A bullet of mass $10 \mathrm{~g}$ travelling horizontally at $200 \mathrm{~m} / \mathrm{s}$ strikes and embeds in a pendulum bob of mass $2.0 \mathrm{~kg}$.
(a) How much mechanical energy is dissipated in the collision?
(b) Assuming that $C_{v}$ for the bob plus bullet is $3 R$, calculate the temperature increase... | 1 |
Should IAS preparation start after graduation? | 0 |
- Example 4 If $\left[\begin{array}{ccc}x+3 & z+4 & 2 y-7 \\ -6 & a-1 & 0 \\ b-3 & -21 & 0\end{array}\right]=\left[\begin{array}{ccc}0 & 6 & 3 y-2 \\ -6 & -3 & 2 c+2 \\ 2 b+4 & -21 & 0\end{array}\right]$
Find the values of $a, b, c, x, y$ and $z$. | 1 |
Who destroyed the Burgundian kingdom in 436? | 0 |
24. If $\alpha, \beta$ be the roots of the equation $a x^{2}+b x+c=0$, then value of $\left(a \alpha^{2}+c\right) /(a \alpha+b)+\left(a \beta^{2}+c\right) /(a \beta+b)$ is
a. $\frac{b\left(b^{2}-2 a c\right)}{4 a}$
b. $\frac{b^{2}-4 a c}{2 a}$
c. $\frac{b\left(b^{2}-2 a c\right)}{a^{2} c}$
d. none of these | 1 |
12. Consider a disc rotating in the horizontal plane with a constant angular speed $\omega$ about its centre $O$.
The disc has a shaded region on one side of the diameter and an unshaded r... | 1 |
How should I take care of a laptop battery? | 0 |
25. Suppose the entire system of the previous question is kept inside an elevator which is coming down with an acceleration $a<g$. Repeat parts (a) and (b). | 1 |
15. If $|z|=1$, then prove that points represented by $\sqrt{(1+z) /(1-z)}$ lie on one or other of two fixed perpendicular straight lines. | 1 |
38. In extractive metallurgy of zinc, partial fusion of $\mathrm{ZnO}$ with coke is called . and reduction of the ore to the molten metal is called ..................
(smelting, calcining, roasting, sintering) | 1 |
40. $\mathrm{H}_{2} \mathrm{~S}+\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}+\mathrm{H}^{+}=\mathrm{Cr}^{3+}+\mathrm{S}_{8}+\mathrm{H}_{2} \mathrm{O}$ | 1 |
4. The $x$-component of the resultant of several vectors
(a) is equal to the sum of the $x$-components of the vectors
(b) may be smaller than the sum of the magnitudes of the vectors
(c) may be greater than the sum of the magnitudes of the vectors
(d) may be equal to the sum of the magnitudes of the vectors. | 1 |
Why do we cry? | 0 |
What is the comparison of the Hyundai i20 over the Maruthi Swift VXI? | 0 |
10. Three numbers are chosen at random without replacement from $\{1,2, \ldots, 10\}$. The probability that the minimum of the chosen numbers is 3 , or their maximum is 7 , is $\qquad$ ـ. | 1 |
What is the best way to learn digital creative design, Photoshop plus graphic design on my own? | 0 |
When did the alternative comics movement begin? | 0 |
What are the best places to visit on a 3 day trip in and around kerala? | 0 |
"Acche din aane wale hai", is this really true? | 0 |
4. The number of real solutions of $\tan ^{-1} \sqrt{x(x+1)}+\sin ^{-1} \sqrt{x^{2}+x+1}=\pi / 2$ is
a. zero
b one
c. two
d. infinite | 1 |
What is the difference between the terms "were" and "was"? | 0 |
1. For $\quad x \in 0, \frac{3}{2}, \quad$ let $f(x)=\sqrt{x}, g(x)=\tan x$
$h(x)=\frac{1-x^{2}}{1+x^{2}}$. If $\varphi(x)=((h \circ f) \circ g)(x)$, then $\varphi \frac{\pi}{9}$ is equal to
(a) $\tan \frac{\pi}{12}$
(b) $\tan \frac{11 \pi}{12}$
(c) $\tan \frac{7 \pi}{12}$
(d) $\tan \frac{5 \pi}{12}$ | 1 |
34. A uniform wire of resistance $18 \Omega$ is bent in the form of a circle. The effective resistance across the points $a$ and $b$ is
(a) $3 \Omega$
(b) $2 \Omega$
(c) $2.5 \Omega$
(d) $6 \Omega$
 $1.5 \mathrm{~kg}$
(b) $1.2 \mathrm{~kg}$
(c) $1.8 \mathrm{~kg}$
(d) $1.0 \mathrm{~kg}$ | 1 |
2. The muscles of a normal eye are least strained when the eye is focussed on an object
(a) far away from the eye
(b) very close to the eye
(c) at about $25 \mathrm{~cm}$ from the eye
(d) at about $1 \mathrm{~m}$ from the eye. | 1 |
How can you tell if you have anxiety? | 0 |
What is the conduction process? | 0 |
What is the most practical solution to stop global terrorism? | 0 |
3. The absolute configuration of
(a) $(2 \mathrm{~S}, 3 \mathrm{~S})$
(b) $(2 R, 3 R)$
(c) $(2 R, 3 S)$
(d) $(2 \mathrm{~S}, 3 \mathrm{R})$ | 1 |
67. The IUPAC name of the compound $\mathrm{CH}_{3}-\underset{\mathrm{OH}}{\mathrm{CH}}=\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{COOH}$ is :
(A) hydroxypentenoic acid
(B) 4 - hydroxy - 3 - pentenoic acid
(C) 4 - hydroxy - 4 - pentenoic acid
(D) 4 - hydroxy - 4 - methyl - 3 - ene pentenoic acid | 1 |
What is the most beautiful number and why? | 0 |
How do I fall out of love with a man who I live with and see every day? | 0 |
What is manufacturing? | 0 |
(e) Ethylcyclopentane, ethylcyclohexane, ethylcycloheptane | 1 |
What should I do if I love someone so much? | 0 |
2.49 Lifetimes of the molecules in the excited states are often measured by using pulsed radiation source of duration nearly in the nano second range. If the radiation source has the duration of 2 ns and the number of photons emitted during the pulse source is $2.5 \times 10^{15}$, calculate the energy of the source. | 1 |
16. Figure (32-E2) shows an arrangement to measure the emf $\varepsilon$ and internal resistance $r$ of a battery. The voltmeter has a very high resistance and the ammeter also has some resistance. The voltmeter reads $1.52 \mathrm{~V}$ when the switch $S$ is open. When the switch is closed the voltmeter reading drops ... | 1 |
Example 5.87 Find the number of ways to give 16 different things to three persons $A, B, C$ so that $B$ gets 1 more than $A$ and $C$ gets 2 more than $B$. | 1 |
25. The average velocity of an ideal gas molecule at $27^{\circ} \mathrm{C}$ is $0.3 \mathrm{~m} / \mathrm{s}$. The average velocity at $927^{\circ} \mathrm{C}$ will be
(a) $0.6 \mathrm{~m} / \mathrm{s}$
(b) $0.3 \mathrm{~m} / \mathrm{s}$
(c) $0.9 \mathrm{~m} / \mathrm{s}$
(d) $3.0 \mathrm{~m} / \mathrm{s}$
(IIT 1986) | 1 |
12. If $x \in\left(\frac{1}{2}, 1\right]$, then the value of $\lim _{y \rightarrow a} b \cos (y)$ is
a $-1 / 3$
$\mathbf{b}-3$
c. $\frac{1}{3}$
d. 3 | 1 |
13. The f.p. of $1 \%$ solution of $\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}$ in water will be
(a) below $0^{\circ} \mathrm{C}$
(b) $0^{\circ}$
(c) $1^{\circ} \mathrm{C}$
(d) $2^{\circ} \mathrm{C}$ | 1 |
3. The values of the crystal field stabilization energies for a high spin $d^{6}$ metal ion in octahedral and tetrahedral fields, respectively, are :
[Main Sep. 05, 2020 (I)]
(a) $-0.4 \Delta_{\mathrm{o}}$ and $-0.6 \Delta_{\mathrm{t}}$
(b) $-2.4 \Delta_{\mathrm{o}}$ and $-0.6 \Delta_{\mathrm{t}}$
(c) $-1.6 \Delta_... | 1 |
What are the best ways to do a home automation project? | 0 |
What was most influential American 20th century tort law? | 0 |
What effect of independence did Muslims distrust? | 0 |
22. The distance between the orthocentre and the circumcentre of the triangle $P Q R$ is
a. $25 / 2$
b. $29 / 2$
c. $37 / 2$
d. $51 / 2$ | 1 |
What is 20/25 vision? What does it mean? Is it better or worse than 20/20 vision? | 0 |
Should I pursue a career in software engineering or medicine? | 0 |
How close are we to World War Three, and how bad would it be? | 0 |
21. The lead chamber process involves oxidation of $\mathrm{SO}_{2}$ by atomic oxygen under the influence of ............... as catalyst. | 1 |
What is the application deadlines for RWTH Aachen University planning for winter-2017 in automotive engineering? | 0 |
Do you suspect your spouse is cheating on you? | 0 |
When did the reign of the last Western Roman Emperor end? | 0 |
What are the best books to read regarding Chanakya's life? | 0 |
## Passage
Phase space diagrams are useful tools in analysing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which po... | 1 |
Example 8.26 Evaluate $\int_0^{\pi / 2} \frac{\sin ^2 x d x}{\sin x+\cos x}$. | 1 |
(ii) $\mathrm{IBr}_2^{-}$ | 1 |
4. Assertion : In circular motion, dot product of velocity vector (v) and acceleration vector (a) may be positive, negative or zero.
Reason : Dot product of angular velocity vector and linear velocity vector is always zero. | 1 |
I got a job offer from a company and client is wells fargo.is it ok to join company? Is there any chances to move on payroll of wells fargo | 0 |
31$ In Fig. 29-59, length $a$ is 4.7 cm (short) and current $i$ is 13 A . What are the (a) magnitude and (b) direction (into or out of the page) of the magnetic field at point $P$ ? | 1 |
After three surgeries I lost everything, my job, my savings, and I have to start all over again. Though I am young, I still feel depressed. What should I do to get over this? | 0 |
What was building considered? | 0 |
9. If $\sin x+\operatorname{cosec} x=2$, then $\sin ^{n} x+\operatorname{cosec}^{n} x$ is equal to
a. 2
b. $2^{n}$
c. $2^{n-1}$
d. $2^{n-2}$ | 1 |
How do I register my (Bank of Baroda) debit card with PayPal? | 0 |
In which direction did Chanakyapuri extend from New Delhi? | 0 |
What would a good fan fiction for Naruto be on? | 0 |
Why are many European cities replete with old or historic buildings, whereas many ancient eastern countries' cities easily lack this feature? | 0 |
Does red algae have red chlorophyll? | 0 |
What is fiscal policy and monetary policy management? | 0 |
Who are some lesser known important historical figures of Mauritius and what should people know about them? | 0 |
What term can be used to describe the wet area of North Spain? | 0 |
In what year did Chandraguta's son come to the throne? | 0 |
Why don't people like seeing people they know? | 0 |
How do billionaires spend their money? | 0 |
Why cricket is so important in india? | 0 |
Mixed media and what else are becoming popular for making comics? | 0 |
15. If an angle between the line, $\frac{x+1}{2}=\frac{y-2}{1}=\frac{z-3}{-2}$ and the plane, $x-2 y-k z=3$ is $\cos ^{-1} [{\frac{2 \sqrt{2}}{3}}]$, then value of $k$ is
(a) $\sqrt{\frac{5}{3}}$
(b) $\sqrt{\frac{3}{5}}$
(c) $-\frac{3}{5}$
(d) $-\frac{5}{3}$ | 1 |
5. Standing sound waves are produced in a pipe that is $0.8 \mathrm{~m}$ long, open at one end, and closed at the other. For the fundamental and first two overtones, where along the pipe (measured from the closed end) are
(a) the displacement antinodes
(b) the pressure antinodes. | 1 |
8.  | 1 |
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