Question stringlengths 2 3k | label int64 0 1 |
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What are some of the best Indian movies ever made? | 0 |
107 SSM A 6100 kg rocket is set for vertical firing from the ground. If the exhaust speed is $1200 \mathrm{~m} / \mathrm{s}$, how much gas must be ejected each second if the thrust (a) is to equal the magnitude of the gravitational force on the rocket and (b) is to give the rocket an initial upward acceleration of $21 ... | 1 |
How should I prepare for Java fresher interview? | 0 |
1. If the line $x \cos \alpha+y \sin \alpha=p$ is a tangent to the ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$, then prove that $a^{2} \cos ^{2} \alpha$ $+b^{2} \sin ^{2} \alpha=p^{2}$. | 1 |
(iii) Bakelite | 1 |
Example 7.25. Prove that $\left|\begin{array}{ccc}a^{2}+1 & a b & a c \\ a b & b^{2}+1 & b c \\ a c & b c & c^{2}+1\end{array}\right|=1+a^{2}$ | 1 |
Does it really matter that you still have feelings about a girl when you are in a relationship with another girl? | 0 |
5. What minimum force is required to move it up the incline with constant speed?
(a) $\frac{2}{3} m g$
(b) $\frac{m g}{2}$
(c) $\frac{7 m g}{6}$
(d) $\frac{5 m g}{6}$ | 1 |
57. If $\int \frac{d x}{x^{2}\left(x^{n}+1\right)^{(n-1) / n}}=-[f(x)]^{1 / n}+C$, then $f(x)$ is
a. $\left(1+x^{n}\right)$
b. $1+x^{-n}$
c. $x^{n}+x^{-n}$
d. None of these | 1 |
Are modern apps like Facebook Messenger and Skype interested in making us dumber? If so how can someone counteract it? | 0 |
72. If both roots of the equation $a x^{2}+x+c-a=0$ are imaginary and $c>-1$, then
a. $3 a>2+4 c$
b. $3 a<2+4 c$
c. $c<a$
d. none of these | 1 |
28. $\cos \frac{\pi}{11} \cos \frac{2 \pi}{11} \cos \frac{3 \pi}{11} \ldots \cdot \frac{3 \pi}{11} \ldots \cdot \cos \frac{11 \pi}{11}=$
(a) $-\frac{1}{32}$
(b) $\frac{1}{512}$
(c) $\frac{1}{1024}$
(d) $-\frac{1}{2048}$ | 1 |
I want to start my business.which type business I start.pravite limited ya public limited? | 0 |
Can a centrifugal pump be repaired after it was run dry? | 0 |
Who owns the most small businesses? | 0 |
4. If $P(1,2), Q(4,6), R(5,7)$ and $S(a, b)$ are the vertices of a parallelogram $P Q R S$, then
a. a=2, b=4
b. a=3, b=4
c. a=2, b=3
d. a=1 or b=-1 | 1 |
66. The correct IUPAC name of the compound

(A) 5 - carboxy - 3 - oxocyclohexane carboxaldehyde
(B) 2 - carboxy - 5 - formylcyclohexane
(C) 4 - formyl - 2 - oxocyclohexane carboxylic acid
... | 1 |
62. A line of slope $\lambda(0<\lambda<1)$ touches parabola $y+3 x^{2}=0$ at $P$. If $S$ is the focus and $M$ is the foot of the perpendicular of directrix from $P$, then $\tan \angle M P S$ equals
a. $2 \lambda$
b. $\frac{2 \lambda}{-1+\lambda^{2}}$
c. $\frac{1-\lambda^{2}}{1+\lambda^{2}}$
d. none of these | 1 |
I'm looking for a particular movie which I'm unable to find online, it is an old classic Tamil film, the name is ‘Naan Yaar Theriyuma’ (1967),pls help me? | 0 |
3.28 The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 :

Fig. 3.29
Which of the following formulae are correct for describing the motion of the particle... | 1 |
What is the most interesting subject one can study in CSE (like I don't have interest in coding)? | 0 |
4. Which of the following pairs represent units of the same
physical quantity ?
(a) Kelvin and joule (b) Kelvin and calorie
(c) Newton and calorie (d) Joule and calorie | 1 |
What did Sputnik 1 usher in? | 0 |
1. Which one of the following polymers is not obtained by condensation polymerisation?
[Main Sep. 05, 2020 (II)]
(a) Nylon 6,6
(b) Buna - $\mathrm{N}$
(c) Bakelite
(d) Nylon 6 | 1 |
16. Which of the following is basic
(a) $\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{OH}$
(b) $\mathrm{OH}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{OH}$
(c) $\mathrm{H}-\mathrm{O}-\mathrm{O}-\mathrm{H}$
(d)  | 1 |
53. The decreasing order of electron affinity of $\mathrm{F}, \mathrm{Cl}, \mathrm{Br}$ isF $>\mathrm{Cl}>\mathrm{Br}$. | 1 |
28. Calculate the molecular weight of a substance, 10 g of which in 1 litre of solution exerts an osmotic pressure of 81 mmHg at 27 K .
(207.99) | 1 |
What is Nichrome? | 0 |
6. Consider the reaction:
$$
\begin{aligned}
& \mathrm{H}_{2} \mathrm{SO}_{3}(\mathrm{aq})+\mathrm{Sn}^{4+}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \\
& \quad \rightarrow \mathrm{Sn}^{2+}(\mathrm{aq})+\mathrm{HSO}_{4}^{-}(\mathrm{aq})+3 \mathrm{H}^{+}(\mathrm{aq})
\end{aligned}
$$
Which of the following st... | 1 |
How would a Trump presidency affect Silicon Valley? | 0 |
8. A free electron is placed in the path of a plane electromagnetic wave. The electron will start moving
(a) along the electric field
(b) along the magnetic field
(c) along the direction of propagation of the wave
(d) in a plane containing the magnetic field and the direction of propagation. | 1 |
Samuel changed something that was in the old meaning of the metaphor, what was it? | 0 |
What exactly does a theoretical physicist do? | 0 |
In the figure below, the circle with center P has radius 6 and the circle with center Q has radius 1. The circles are tangent to each other. Segment line QR is tangent to the larger circle and intersects the smaller circle at S. What is the length of segment line RS? | 0 |
96. The vertices of a triangle are $(0,0),(x, \cos x)$ and $\left(\sin ^{3} x, 0\right)$ where $0<x<\frac{\pi}{2}$. The maximum area for such a triangle in sq. units is
a. $\frac{3 \sqrt{3}}{32}$
b. $\frac{\sqrt{3}}{32}$
c. $\frac{4}{32}$
d. $\frac{6 \sqrt{3}}{32}$ | 1 |
27. Catalyst makes a reaction more exothermic | 1 |
1. Two sources of sound $S_{1}$ and $S_{2}$ produce sound waves of same frequency $660 \mathrm{~Hz}$. A listener is moving from source $S_{1}$ towards $S_{2}$ with a constant speed $u \mathrm{~m} / \mathrm{s}$ and he hears 10 beats/s. The velocity of sound is $330 \mathrm{~m} / \mathrm{s}$. Then, $u$ equal to
(a) $5.... | 1 |
6. $\lim _{x \rightarrow 1} \frac{(1-x)\left(1-x^{2}\right)\left(1-x^{3}\right) \ldots\left(1-x^{2 n}\right)}{\left((1-x)\left(1-x^{2}\right)\left(1-x^{3}\right) \ldots\left(1-x^{n}\right)\right)^{2}}$ is equal to
(a) $\prod_{r=1}^{n} \frac{n+r}{r}$
(b) $\frac{1}{n!} \prod_{r=1}^{n}(4 r-2)$
(c) The sum of the coeffi... | 1 |
What do Pakistani residents think of Uri attack? | 0 |
What is psychology? | 0 |
30. A block of mass 2 M is attached to a massless spring with springconstant $k$. This block is connected to two other blocks of masses M and 2 M using two massless pulleys and strings. The acceleration of the blocks are $a_{1}, a_{2}$ and $a_{3}$ as shown in the figure. The system is released from rest with the spring... | 1 |
Who was the British Prime Minister in 1982? | 0 |
100 Some of the familiar hydrogen lines appear in the spectrum of quasar 3 C 9 , but they are shifted so far toward the red that their wavelengths are observed to be 3.0 times as long as those observed for hydrogen atoms at rest in the laboratory. (a) Show that the classical Doppler equation gives a relative velocity o... | 1 |
21. For the electrochemical cell, $M\left|M^{+} \| X^{-}\right| X, E^{\circ}\left(M^{+} / M\right)=0.44 \mathrm{~V}$ and $E^{\circ}\left(X / X^{-}\right)=0.33 \mathrm{~V}$
From this data one can deduce that
$[2000 S]$
(a) $M+X \rightarrow M^{+}+X^{-}$is the spontaneous reaction
(b) $M^{+}+X^{-} \rightarrow M+X$ is ... | 1 |
29. Figure (35-E9) shows a part of an electric circuit. The wires $A B, C D$ and $E F$ are long and have identical resistances. The separation between the neighbouring wires is $1.0 \mathrm{~cm}$. The wires $A E$ and $B F$ have negligible resistance and the ammeter reads $30 \mathrm{~A}$. Calculate the magnetic force p... | 1 |
Ex. 64. The standard molar enthalpies of formation of cyclohexane (l) and benzene (l) at $25^{\circ} \mathrm{C}$ are -156 and $+49 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. The standard enthalpy of hydrogenation of cyclohexene (l) at $25^{\circ} \mathrm{C}$ is $-119 \mathrm{~kJ} \mathrm{~mol}^{-1}$. Use these data... | 1 |
If you had five years to travel the world to learn and improve yourself where would you go? | 0 |
36. Anhydrous ferric chloride is prepared by
(a) heating hydrated ferric chloride at a high temperature in a stream of air
(b) heating metallic iron in a stream of dry chlorine gas
(c) reaction of metallic iron with hydrochloric acid
(d) reaction of metallic iron with nitric acid | 1 |
Example 16 Find $\int \frac{x^{2}+x+1 d x}{(x+2)\left(x^{2}+1\right)}$ | 1 |
What group that had been to this point neglected was included in this thought? | 0 |
How difficult is it for a Hindu boy to marry a Muslim girl in India? Do I have to convert? | 0 |
What are the best shares to buy? | 0 |
What's the best way to handle being accused of having a lack of empathy? | 0 |
Name two works that are often the subject of a variorum. | 0 |
How do I delete my Whatsapp account? | 0 |
Do psychiatrists really help? | 0 |
Where is jaywalking illegal? | 0 |
| 6 |  | | | | | | 1 |
What are NCERT books that can be purchased for UPSC-IAS preparation? | 0 |
Are there speed limits for airplanes? Why or why not? | 0 |
Which is best for m.com du or pu? | 0 |
(b)https://cdn.pureessence.tech/1f1586f9-74f7-4c89-933d-146b31e65681.png.png | 1 |
How do I copy NetBeans' software from one system to another? | 0 |
9. A circular insulated copper wire loop is twisted to form two loops of area $A$ and $2 A$ as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field $\mathbf{B}$ points into the plane of the paper... | 1 |
What should I wear on honeymoon night? | 0 |
What is the name of the network through which the Chinese communities were connected with? | 0 |
In deism, does God answer prayers? | 0 |
What is algebra and why is important? | 0 |
What are the principles of diminishing marginal utility theory? What purpose do they serve? | 0 |
9. The given $p$-U graph shows the variation of internal energy of an ideal gas with increase in pressure. Which of the following pressure-volume graph is equivalent to this graph?

(a)
![]... | 1 |
If I were God why would I want anyone to worship me? | 0 |
How do I crack the GMAT? | 0 |
Example 1.54 Find the compound interest on $₹ 12000$ for 10 years at the rate of $12 \%$ per annum compounded annually. | 1 |
Is WW3 coming? | 0 |
How many calories does a tortilla have? | 0 |
Why is acting out a fantasy different from reality? | 0 |
Which mountain range goes through Rajasthan? | 0 |
2. If $\lim _{x \rightarrow a} \frac{\int_{a}^{x} f(x) d x-\left(\frac{x-a}{2}\right)(f(x)+f(a))}{(x-a)^{3}}=0$, then $f(x)$ is of maximum degree
a. 4
b. 3
c. 2
d. 1 | 1 |
What are the best Skyrim treasure hunt mods? | 0 |
How can someone predict the future? | 0 |
What are some mistakes you noticed on Friends? | 0 |
What do plants use to convert inorganic molecules into carbohydrates, fats, proteins and other biomolecules? | 0 |
When did the warlord era end? | 0 |
1. The angular dispersion produced by a prism
(a) increases if the average refractive index increases
(b) increases if the average refractive index decreases (c) remains constant whether the average refractive index increases or decreases
(d) has no relation with average refractive index. | 1 |
6. The separation between the consecutive dark fringes in
a Young’s double slit experiment is 1.0 mm. The screenis placed at a distance of 2.5 m from the slits and theseparation between the slits is 1.0 mm. Calculate the wavelength of light used for the experiment. | 1 |
17. Let $\vec{V}=2 \hat{i}+\hat{j}-\hat{k}$ and $\vec{W}=\hat{i}+3 \hat{k}$. If $\vec{U}$ is a unit vector, then the maximum value of the scalar triple product $[\vec{U} \vec{V} \vec{W}]$ is
a. -1
b. $\sqrt{10}+\sqrt{6}$
c. $\sqrt{59}$
d. $\sqrt{60}$ | 1 |
How do I stop the buffering of a YouTube video? | 0 |
Who was a local gang ringleader in the same area? | 0 |
25. Match the conditions/expressions in Column I with statements in Column II.
Let the functions defined in Column I have domain $(-\pi / 2, \pi / 2)$.
| Column I | |
| :--- | :--- |
| A. $x+\sin x$ | p. increasing |
| B. $\sec x$ | q. decreasing |
| | r. neither increasing nor decreasing | | 1 |
4. When an ideal binary solution is in equilibrium with its vapour, molar ratio of the two components in the solution and in the vapour phases is
(a) same
(b) different
(c) may or may not be same depending upon volatile nature of the two components | 1 |
Why can't federal courts just make up law? | 0 |
- Does the MO energy diagram of cyclooctatetraene (see figure) appear to be a particularly stable or unstable configuration? Explain.
nonbonding | 1 |
10. In the figure shown an observer $O_{1}$ floats (static) on water surface with ears in air while another observer $O_{2}$ is moving upwards with constant velocity $v_{1}=\mathrm{v} / 5$ in water.
The source moves down with constant velocity $v_{\mathrm{s}}=v / 5$ and emits sound of frequency $f$.
The velocity of s... | 1 |
30. In a compound $A_{x} B_{y}$,
(a) moles of $A=$ moles of $B=$ moles of $A_{x} B_{y}$
(b) eq. of $A=$ eq. of $B=$ eq. of $A_{x} B_{y}$
(c) $y \times$ moles of $A=y \times$ moles of $B=(x+y) \times$ moles of $A_{x} B_{y}$
(d) $y \times$ moles of $A=y \times$ moles of $B$ | 1 |
6. $\mathrm{Cu}^{+}$ disproportionates to $\mathrm{Cu}^{2+}$ and elemental copper in solution. | 1 |
What features at minimum did Ruskin insist on for a building to be considered functional? | 0 |
5. The dipole moment of a circular loop carrying a current $I$ is $m$ and the magnetic field at the centre of the loop is $B_{1}$. When the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is $B_{2}$. The ratio $\frac{B_{1}}{B_{2}}$ is
(a) $\frac{1}{\sqrt{2}}$
(b)... | 1 |
I uploaded a video on YouTube and immediately UEFA claimed it, how it came to know so early that I copied their video? | 0 |
24. $x=t \cos t, y=t+\sin t$, then $\frac{d^{2} x}{d y^{2}}$ at $t=\frac{\pi}{2}$ is
a. $\frac{\pi+4}{2}$
b. $-\frac{\pi+4}{2}$
c. -2
d. None of these | 1 |
16. For polynomials of the form $a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{1} x+a_{0}$ with $a_{i} \in\{-1,1\},(i=0,1,2, \ldots, n)$ which has all roots realfind then.
(a) the maximum value of $n$ is less than 7
(b) the maximum value of $n$ is more than 5
(c) Number of such polynomials is less than 10
(d) Number of such po... | 1 |
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