Question stringlengths 2 3k | label int64 0 1 |
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4. $x^{2}=-16 y$ | 1 |
What are some good slasher movies? | 0 |
What are the most followed and most discussed Quora topics till 2016? | 0 |
14. A cylinder uniform $\operatorname{rod}$ of mass $M$ and length $l$ is pivoted at one end so that it can rotate in a vertical plane (see the figure). There is negligible friction at the pivot. The free end is held vertically above the
 material of the wire
(b) length of the wire
(c) radius of the wire
(d) shape of the cross section. | 1 |
8. Consider two straight lines, each of which is tangent to both the circle $x^{2}+y^{2}=(1 / 2)$ and the parabola $y^{2}=4 x$. Let these lines intersect at the point $Q$. Consider the ellipse whose centre is at the origin $O(0,0)$ and whose semi-major axis is $O Q$. If the length of the minor axis of this ellipse is $... | 1 |
2. Prove that $\left({ }^{2 n} C_{0}\right)^{2}-\left({ }^{2 n} C_{1}\right)^{2}+\left({ }^{2 n} C_{2}\right)^{2}-\cdots+\left({ }^{2 n} C_{2 n}\right)^{2}=(-1)^{n}{ }^{2 n} C_{n}$. | 1 |
27. The gravitational potential at any point on circle $y^{2}+z^{2}=36$ is
(a) $-7.90 G M$
(b) $-10.98 G M$
(c) $-8.98 G M$
(d) zero | 1 |
27. In an electron microscope, the resolution that can be achieved is of the order of wavelength of electrons used. To resolve a width of $7.5 \times 10^{-12} \mathrm{~m}$, the minimum electron energy required is close to
(a) $500 \mathrm{keV}$
(b) $1 \mathrm{keV}$
(c) $100 \mathrm{keV}$
(d) $25 \mathrm{keV}$ | 1 |
How do I remove a partner from my partnership company in India? | 0 |
7. Adsorption of a gas on a surface follows Freundlich adsorption isotherm. Plot of $\log \frac{x}{m}$ versus $\log p$ gives a straight line with slope equal to 0.5 , then :
( $\frac{x}{m}$ is the mass of the gas adsorbed per gram of adsorbent)
(a) Adsorption is independent of pressure.
(b) Adsorption is proportiona... | 1 |
5. The number of integral values of $m$ for which the equation $\left(1+m^{2}\right) x^{2}-2(1+3 m) x+(1+8 m)=0$, has no real root is
(2019 Main, 8 April II)
(a) 3
(b) infinitely many
(c) 1
(d) 2 | 1 |
19. Circumcentre of the triangle $P T_{1} T_{2}$ is at
a. $(-2,0)$
b. $(2,0)$
c. $\left(\frac{\sqrt{3}}{2}, 0\right)$
d. None of these | 1 |
4. Mass of a particle is $2 \mathrm{~kg}$. Its displacement-time equation in $\mathrm{SHM}$ is
$$
\begin{equation*}
x=2 \sin (4 \pi t) \tag{SIUnits}
\end{equation*}
$$
Match the following two columns for 1 second time interval.
| Column I | Column II |
| :--- | :---: |
| (a) Speed becomes $30 \mathrm{~m} / \mathrm{s... | 1 |
Would you kill baby Hitler? | 0 |
How did trump win the presidential election? | 0 |
Is Hinduism the only correct religion in the entire world? | 0 |
Was the Third Hokage really the strongest hokage? Was he really stronger than Hashirama? If so that means he was stronger than Madara Uchiha! | 0 |
31. A speaks truth in $60 \%$ cases and $B$ speaks truth in $70 \%$ cases. The probability that they will say the same thing while describing a single event is
a. 0.56
b. 0.54
c. 0.38
d. 0.94 | 1 |
8. Identify the reaction which does not liberate hydrogen :
(a) Reaction of lithium hydride with $\mathrm{B}_{2} \mathrm{H}_{6}$.
(b) Electrolysis of acidified water using Pt electrodes
(c) Reaction of zinc with aqueous alkali
(d) Allowing a solution of sodium in liquid ammonia to stand | 1 |
1. A mechanical wave propagates in a medium along the $X$-axis. The particles of the medium
(a) must move on the $X$-axis
(b) must move on the $Y$-axis
(c) may move on the $X$-axis
(d) may move on the $Y$-axis. | 1 |
78. $\mathrm{Cu}_{3} \mathrm{P}+\mathrm{H}^{+}+\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}=\mathrm{Cu}^{2+}+\mathrm{H}_{3} \mathrm{PO}_{4}+\mathrm{Cr}^{3+}+\mathrm{H}_{2} \mathrm{O}$ | 1 |
3.2 Given the standard electrode potentials,
$\mathrm{K}^{+} / \mathrm{K}=-2.93 \mathrm{~V}, \mathrm{Ag}^{+} / \mathrm{Ag}=0.80 \mathrm{~V}$
$\mathrm{Hg}^{2+} / \mathrm{Hg}=0.79 \mathrm{~V}$
$\mathrm{Mg}^{2+} / \mathrm{Mg}=-2.37 \mathrm{~V}, \mathrm{Cr}^{3+} / \mathrm{Cr}=-0.74 \mathrm{~V}$
Arrange these metals in ... | 1 |
How do I make money from home? | 0 |
12. In a $\triangle A B C, a: b: c=4: 5: 6$. The ratio of radius of the circumcircle to that of the incircle is... | 1 |
2. A sphere of mass $1 \mathrm{~kg}$ rests at one corner of a cube. The cube is moved with a velocity $\mathbf{v}=\left(8 t \hat{\mathbf{i}}-2 t^{2}\right) \hat{\mathbf{j}}$, where $t$ is time in second. The force by sphere on the cube at $t=1 \mathrm{~s}$ is $\left(g=10 \mathrm{~ms}^{-2}\right)$ [Figure shows vertical... | 1 |
How can I know whether my boyfriend loves me truly or not? | 0 |
69. The value of $\int_{0}^{x}[\cos t] d t, x \in\left[(4 n+1) \frac{\pi}{2},(4 n+3) \frac{\pi}{2}\right]$ and $n \in N$ is equal to (where [$\cdot$] represents greatest integer function
a. $\frac{\pi}{2}(2 n-1)-2 x$
b. $\frac{\pi}{2}(2 n-1)+x$
c. $\frac{\pi}{2}(2 n+1)-x$
d. $\frac{\pi}{2}(2 n+1)+x$ | 1 |
75. Let $y=f(x)=\left\{\begin{array}{ll}-\frac{1}{x^{2}} & \text { if } x \neq 0 \\ 0 & \text { if } x=0\end{array}\right.$. Then which of the following can best represent the graph of $y=f(x)$ ?
a.
 that can selectively precipitate $\mathrm{S}^{2-}$ from a mixture of $\mathrm{S}^{2-}$ and $\mathrm{SO}_{4}^{2-}$ in aqueous solution is (are)
(a) $\mathrm{CuCl}_{2}$
(b) $\mathrm{BaCl}_{2}$
(c) $\mathrm{Pb}\left(\mathrm{OOCCH}_{3}\right)_{2}$
(d) $\mathrm{Na}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{5} \m... | 1 |
What are the best songs to play on the guitar? | 0 |
4. The long straight wire in figure (a) carries a constant current $i$. A metal bar of length $l$ is moving at constant velocity $\mathbf{v}$ as shown in figure. Point $a$ is a distance $d$ from the wire.
![](https://cdn.mathpix.com/cropped/2024_06_12_88c1c8d683adf388794bg-545.jpg?height=247&width=300&top_left_y=428&t... | 1 |
What did he propose to measure attraction? | 0 |
Why is "Heartcatch Precure The Movie" the only precure movie to be set in a real life city? | 0 |
Who is the founder of Findingclue.com? | 0 |
How can I ask a long question here, it gives me a character limit? | 0 |
27. The wavelength of a spectral line for an electronic transition is inversely related to :
(a) the number of electrons undergoing the transition
(b) the nuclear charge of the atom
(c) the difference in the energy of the energy levels involved in the transition
(d) the velocity of the electron undergoing the tra... | 1 |
2. Find a real number $c$ and $a$ positive number $L$ for which $\lim _{r \rightarrow \infty} \frac{r^{c} \int_{0}^{\pi / 2} x^{r} \sin x d x}{\int_{0}^{\pi / 2} x^{r} \cos x d x}=L$
(a) $c=1, L=\frac{2}{\pi}$
(b) $c=-1, L=\frac{2}{\pi}$
(d) $c=-1, L=\frac{4}{\pi}$
(d) None of these | 1 |
6. Consider the hydrated ions of $\mathrm{Ti}^{2+}, \mathrm{V}^{2+}, \mathrm{Ti}^{3+}$, and $\mathrm{Sc}^{3+}$. The correct order of their spin-only magnetic moments is:
(a) $\mathrm{V}^{2+}<\mathrm{Ti}^{2+}<\mathrm{Ti}^{3+}<\mathrm{Sc}^{3+}$
(b) $\mathrm{Sc}^{3+}<\mathrm{Ti}^{3+}<\mathrm{Ti}^{2+}<\mathrm{V}^{2+}$
(... | 1 |
(iii) Relation R in the set $\mathrm{A}=\{1,2,3,4,5,6\}$ as
$$
\mathrm{R}=\{(x, y): y \text { is divisible by } x\}
$$ | 1 |
Which one is a better product, WhatsApp or Viber? What's your opinion? | 0 |
16. How many frequencies below $1 \mathrm{kHz}$ of natural oscillations of air column will be produced if a pipe of length $1 \mathrm{~m}$ is closed at one end? [velocity of sound in air is $340 \mathrm{~m} / \mathrm{s}$ ]
(a) 3
(b) 6
(c) 4
(d) 8 | 1 |
If Superman via a magical event will have became solar data architect creating solar data, where will have he found and earthly job for buying pizza? | 0 |
Why do people like sugar? | 0 |
What will be the impact in the Indian economy of sudden 500 & 1000 rupee notes withdrawal of by the government? | 0 |
Why does Britain want to leave the European Union? | 0 |
What are the best product design forums? | 0 |
(iii) Tris(ethane-1,2-diamine) chromium(III) chloride | 1 |
What do people in Illinois think of Michelle Obama's school lunch program? | 0 |
What is the best way to store chopped onions? | 0 |
55. Which of the following lines correctly show the temperature dependence of equilibrium constant $K$, for an exothermic reaction?
(a) A and D
(b) A and B
(c) B and C
(d) C and D
[Hint: See... | 1 |
How can I sell 250 year old silver coins from Nepal? | 0 |
14. If $a_{1}, a_{2}, \ldots, a_{n}$ are positive real numbers whose product is a fixed number $c$, then the minimum value of $a_{1}+a_{2}+\ldots+a_{n-1}+2 a_{n}$ is
(a) $n(2 c)^{1 / n}$
(c) $2 n c^{1 / n}$
(b) $(n+1) c^{1 / n}$
(d) $(n+1)(2 c)^{1 / n}$
(2002, 1M) | 1 |
Theoretically, how much energy would be required to open a wormhole? | 0 |
5. A metal (A) on heating in nitrogen gas gives compound B. B on treatment with $\mathrm{H}_{2} \mathrm{O}$ gives a colourless gas which when passed through $\mathrm{CuSO}_{4}$ solution gives a dark blue-violet coloured solution. A and B respectively, are:
(a) $\mathrm{Na}$ and $\mathrm{NaNO}$
(b) $\mathrm{Na}$ and $... | 1 |
34. An isosceles triangles $A B C$ is inscribed in a circle $x^{2}+y^{2}$ $=a^{2}$ with the vertex $A$ at $(a, 0)$ and the base angle $B$ and $C$ each equal to $75^{\circ}$, then coordinates of an end point of the base are
a. $\left(\frac{-\sqrt{3} a}{2}, \frac{a}{2}\right)$
b. $\left(-\frac{\sqrt{3 a}}{2}, a\right)$
c... | 1 |
19. Let $f(x)$ be a continuous function given by
$f(x)=\left\{\begin{array}{ll}2 x, & |x| \leq 1 \\ x^{2}+a x+b, & |x|>1\end{array}\right\}$. Find the area of the region in the third quadrant bounded by the curves $x=-2 y^{2}$ and $y=f(x)$ lying on the left of the line $8 x+1=0$. | 1 |
Ex. 8. Calculate the molality of a 1-litre solution of $93 \% \mathrm{H}_{2} \mathrm{SO}_{4}$ (wt./vol.). The density of the solution is $1.84 \mathrm{~g} / \mathrm{mL}$.
(IIT 1990) | 1 |
What type of comic has taken off in the 21st century? | 0 |
8. $\frac{3 x+5}{x^{3}-x^{2}-x+1}$ | 1 |
Greece has the largest what in the Balkans? | 0 |
40. The units of viscosity in cgs and SI units are respectively,
(a) dyne $\mathrm{cm}^{-2} \mathrm{~s}, \mathrm{~N} \mathrm{~m}^{-2} \mathrm{~s}$
(b) poise, $\mathrm{Pa} \mathrm{s}^{2}$
(c) poise, $\mathrm{Nm}^{-2} \mathrm{~s}^{-1}$
(d) dyne $\cdot$ s, N s | 1 |
16. If $f(x)=\sqrt[m]{\left(a-x^{m}\right)}, x>0, m \geq 2, m \in N$. Then a. $a_{n}=x, n=2 k+1$, where $k$ is integer
b. $a_{n}=f(x)$ if $n=2 k$, where $k$ is integer
c. Inverse of $a_{n}$ exists for any value of $n$ and $m$
d. None of these | 1 |
4. A wave going in a solid (a) must be longitudinal (b) may be longitudinal (c) must be transverse (d) may be transverse. | 1 |
11. The area bounded by $C_{1}$ and $x+y+2=0$ is
a. $5 / 2$ sq. units
b. $7 / 2$ sq. units
c. $9 / 2$ sq. units
d. None of these | 1 |
39. Two sinusoidal waves of the same period, with amplitudes of 5.0 and 7.0 mm , travel in the same direction along a stretched string; they produce a resultant wave with an amplitude of 9.0 mm . The phase constant of the 5.0 mm wave is 0 . What is the phase constant of the 7.0 mm wave? | 1 |
41. The number of distinct terms in the expansion of $\left(x+\frac{1}{x}+x^{2}+\frac{1}{x^{2}}\right)^{15}$ is/are (with respect to different power of $x$ )
a. 255
b. 61
c. 127
d. none of these | 1 |
34. The number and type of bonds between two carbon atoms in $\mathrm{CaC}_{2}$ are :
(a) one sigma ( $\sigma$ ) and one pi $(\pi)$ bonds
(b) one sigma ( $\sigma$ ) and two pi $(\pi)$ bonds
(c) one sigma ( $\sigma$ ) and one and a half pi $(\pi)$ bonds
(d) one sigma $(\sigma)$ bond. | 1 |
27. If $S=\left\{x \in R:\left(\log _{0.6} 0.216\right) \log _{5}(5-2 x) \leq 0\right\}$, then $S$ is equal to
a. $[2.5, \infty)$
b. $[2,2.5$ )
c. $(2,2.5)$
d. $(0,2.5)$ | 1 |
What would motivate a group of police officers to assault an innocent black man, then charge him with multiple crimes that he didn't commit? | 0 |
17. Which of the following compounds is most reactive to an aqueous solution of sodium carbonate
(a)
(b)
(a) $i_{1}=0, i_{2}=1.25 \mathrm{~A}, i_{3}=3.75 \mathrm{~A}$
(b) $i_{1}=3.75 \mathrm{~A}, i_{2}=0, i_{3}=1.2... | 1 |
20. If the function $e^{-x} f(x)$ assumes its minimum in the interval $[0,1]$ at $x=1 / 4$, then which of the following is true?
(a) $f^{\prime}(x)<f(x), \frac{1}{4}<x<\frac{3}{4}$
(b) $f^{\prime}(x)>f(x), 0<x<\frac{1}{4}$
(c) $f^{\prime}(x)<f(x), 0<x<\frac{1}{4}$
(d) $f^{\prime}(x)<f(x), \frac{3}{4}<x<1$ | 1 |
42. A column of air $1 \mathrm{~m}^{2}$ in cross section extending through the atmosphere has a mass of roughly $10,000 \mathrm{~kg}$. The atmospheric pressure at the surface of the earth is
(a) $1 \times 10^{5} \mathrm{~N}$
(b) $1 \times 10^{2} \mathrm{kPa}$
(c) $1 \times 10^{5} \mathrm{kPa}$
(d) 1 atmosphere | 1 |
11. (a) In unit-vector notation, what is the sum $\vec{a}+\vec{b}$ if $\vec{a}=(4.0 \mathrm{~m}) \hat{\mathrm{i}}+(3.0 \mathrm{~m}) \hat{\mathrm{j}}$ and $\vec{b}=(-13.0 \mathrm{~m}) \hat{\mathrm{i}}+(7.0 \mathrm{~m}) \hat{\mathrm{j}}$ ? What are the (b) magnitude and (c) direction of $\vec{a}+\vec{b}$ ? | 1 |
62. Given $\vec{a}=x \hat{i}+y \hat{j}+2 \hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k}, \vec{c}=\hat{i}+2 \hat{j} ; \vec{a} \perp \vec{b}, \vec{a} \cdot \vec{c}=4$. Then
a. $[\vec{a} \vec{b} \quad \vec{c}]^{2}=|\vec{a}|$
b. $[\vec{a} \vec{b} \vec{c}]=|\vec{a}|$
c. $[\vec{a} \vec{b} \vec{c}]=0$
d. $[\vec{a} \vec{b} \quad \ve... | 1 |
Which laptop is best for gaming and for professional use? | 0 |
When was the second reign of Chalukyans? | 0 |
5. $\sin (a x+b) \cos (a x+b)$ | 1 |
7. What is the greatest speed of lift?
(a) $9.8 \mathrm{~ms}^{-1}$
(b) $7.5 \mathrm{~ms}^{-1}$
(c) $5.92 \mathrm{~ms}^{-1}$
(d) None of these | 1 |
What elements of language make for poetic literature? | 0 |
9. The number of five-digit numbers that contain 7 exactly once is
a. (41) $\left(9^{3}\right)$
b. (37) $\left(9^{3}\right)$
c. (7) $\left(9^{4}\right)$
d. $(41)\left(9^{4}\right)$ | 1 |
8. In a right-angled isosceles triangle, the ratio of the circumradius and inradius is
a. $2(\sqrt{ } 2+1): 1$
b. $(\sqrt{ } 2+1): 1$
c. $2: 1$
d. $\sqrt{}2: 1$ | 1 |
1. The speed of light is $299,792,458 \mathrm{~m} \mathrm{~s}^{-1}$
(a) with respect to the earth
(b) with respect to the sun
(c) with respect to a train moving on the earth
(d) with respect to a spaceship going in outer space. | 1 |
When did New Zealand achieve self-government? | 0 |
3. A rectangular billiard table has vertices at $P(0,0), Q(0,7), R(10,7)$ and $S(10,0)$. A small billiard ball starts at $M(3,4)$ and moves in a straight line to the top of the table, bounces to the right side of the table, then comes to rest at $N(7,1)$. The $y$-coordinate of the point where it hits the right side, is... | 1 |
How does it feel to skydive? | 0 |
14. Which of the field patterns given in the figure is valid for electric field as well as for magnetic field?
(a)
(b)
 $y=\sqrt{1+2 x}, x \geq 0$
(b) $y=\sqrt{1+4 x}, x \geq 0$
(c) $x=\sqrt{1+2 y}, y \geq 0$
(d) $x=\sqrt{1+4 y}, y \geq 0$ | 1 |
How does a typhoon and a hurricane differ? | 0 |
What should I do to control my anger? | 0 |
Does shaving make facial hair grow faster? | 0 |
79. SSM A sample of gas expands from an initial pressure and volume of 10 Pa and $1.0 \mathrm{~m}^{3}$ to a final volume of $2.0 \mathrm{~m}^{3}$. During the expansion, the pressure and volume are related by the equation $p=a V^{2}$, where $a=10 \mathrm{~N} / \mathrm{m}^{8}$. Determine the work done by the gas during t... | 1 |
Is it possible to run Jio 4G in 3G mobile phones? If yes then how? | 0 |
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