Question stringlengths 2 3k | label int64 0 1 |
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When is the earliest time for a child to learn a new languange? | 0 |
What colony did Walter Raleigh found? | 0 |
If I'm depressed, can I atleast write my feelings down in a diary/journal? Is it good or bad? | 0 |
In what year did SME merge with another company? | 0 |
5. The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of three different aqueous solutions of $\mathrm{KCl}, \mathrm{CH}_{3} \mathrm{OH}$ and $\mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{11} \mathrm{OSO}_{3}^{-} \mathrm{Na}^{+}$at room temperature. The cor... | 1 |
3. Let $\theta, \varphi \in[0,2 \pi]$ be such that $2 \cos \theta(1-\sin \varphi)=\sin ^{2} \theta$ $\tan \frac{\theta}{2}+\cot \frac{\theta}{2} \cos \varphi-1, \tan (2 \pi-\theta)>0$ and $-1<\sin \theta<-\frac{\sqrt{3}}{2}$. Then, $\varphi$ cannot satisfy
(a) $0<\varphi<\frac{\pi}{2}$
(c) $\frac{4 \pi}{3}<\varphi<\f... | 1 |
(iv) Benzyl alcohol to benzoic acid. | 1 |
(a) the position of the final image, | 1 |
12. A block of mass $0.1 \mathrm{~kg}$ is held against a wall applying a horizontal force of $5 \mathrm{~N}$ on the block. If the coefficient of friction between the block and the wall is 0.5 , the magnitude of the frictional force acting on the block is
(a) $2.5 \mathrm{~N}$
(b) $0.98 \mathrm{~N}$
(c) $4.9 \mathrm{~... | 1 |
23. The general solution of the differential equation $\frac{d y}{d x}+\sin \frac{x+y}{2}=\sin \frac{x-y}{2}$ is
a. $\log \tan \left(\frac{y}{2}\right)=c-2 \sin x$
b. $\log \tan \left(\frac{y}{4}\right)=c-2 \sin \left(\frac{x}{2}\right)$
c. $\log \tan \left(\frac{y}{2}+\frac{\pi}{4}\right)=c-2 \sin x$
d. $\log \tan \le... | 1 |
2.38 Benzene and toluene form ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at 300 K are 50.71 mm Hg and 32.06 mm Hg respectively. Calculate the mole fraction of benzene in vapour phase if 80 g of benzene is mixed with 100 g of toluene. | 1 |
$\bullet 38$ In deep space, sphere $A$ of mass 20 kg is located at the origin of an $x$ axis and sphere $B$ of mass 10 kg is located on the axis at $x=$ 0.80 m . Sphere $B$ is released from rest while sphere $A$ is held at the origin. (a) What is the gravitational potential energy of the twosphere system just as $B$ is... | 1 |
I am planning a honeymoon tour to the Balkans this December. Can anyone give me any ideas about which travel agency I should I hire or give me any suggestions on how can I plan it independently? | 0 |
What is the total length of the Delhi Metro? | 0 |
35. If the last term in the binomial expansion of $\left(2^{1 / 3}-\frac{1}{\sqrt{2}}\right)^{\prime \prime}$ is $\left(\frac{1}{3^{5 / 3}}\right)^{\log _{3} 8}$, then the $5^{\text {th }}$ term from the beginning is
a. 210
b. 420
c. 105
d. none of these | 1 |
1. Prove that the value of each the following determinants is zero.
a. $\left|\begin{array}{llll}a_{1} & l a_{1}+m b_{1} & b_{1} \\ a_{2} & l a_{2}+m b_{2} & b_{2} \\ a_{3} & l a_{3}+m b_{3} & b_{3}\end{array}\right|$
b. $\left|\begin{array}{lll}a-b & b-c & c-a \\ x-y & y-z & z-x \\ p-q & q-r & r-p\end{array}\right|$
c... | 1 |
Is A.I. an existential threat to humanity? | 0 |
70. The range of the function $f$ defined by $f(x)=\left[\frac{1}{\sin \{x\}}\right]$ (where [.] and $\{$.$\} respectively denote the greatest integer$ and the fractional part functions) is
a. $I$, the set of integers
b. $N$, the set of natural numbers
c. $W$, the set of whole numbers
d. $\{1,2,3,4, \ldots\}$ | 1 |
Is it boring (from a social perspective) to live in Canberra in your 20's and as a student? | 0 |
What group was notably persecuted after the Roman Empire converted to Christianity? | 0 |
I have 3.5 years of experience in a good reputed firm. I recently got an offer from Amazon for an SDE1 role. Is it worthwhile to accept it for an SDE1 role? Is it a normal scenario in Amazon? | 0 |
How can I invest in stocks? | 0 |
When was the KInsey scale first published? | 0 |
How much of Greece's economy is comprised of industrial sectors? | 0 |
58. The unit vector perpendicular to both $L_{1}$ and $L_{2}$ is
(a) $\frac{-\hat{\mathbf{i}}+7 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}}{\sqrt{99}}$
(b) $\frac{-\hat{\mathbf{i}}-7 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}}{5 \sqrt{3}}$
(c) $\frac{-\hat{\mathbf{i}}+7 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}}{5 \sqrt{3}}$
(d) $\fra... | 1 |
Who is Bashar al-Assad? | 0 |
2. If $P\left(u_{i}\right)=c$ (a constant), then $P\left(u_{n} / w\right)$ equals to
a. $2 /(n+1)$
b. $1 /(n+1)$
c. $n /(n+1)$
d. $1 / 2$ | 1 |
Example 3.1
Represent the cell in which the following reaction takes place
$\mathrm{Mg}(\mathrm{s})+2 \mathrm{Ag}^{+}(0.0001 \mathrm{M}) \rightarrow \mathrm{Mg}^{2+}(0.130 \mathrm{M})+2 \mathrm{Ag}(\mathrm{s})$
Calculate its $E_{\text {(cell) }}$ if $E_{\text {(cell) }}^{o}=3.17 \mathrm{~V}$. | 1 |
Which historian claims that even the Arabs acknowledged the importance of the Gurjara Pratihara Empire in stopping invasions? | 0 |
5. $f(x)=\lim _{n \rightarrow \infty} \frac{x^{n}-\sin x^{n}}{x^{n}+\sin x^{n}}$ for $x>0, x \neq 1$ and $f(1)=0$. Discuss the continuity at $x=1$. | 1 |
Which foods help gain weight? | 0 |
How does Paytm earn by giving extra cash back on already discounted items? | 0 |
28. The area bounded by. $y=3-|3-x|$ and $y=\frac{6}{|x+1|}$ is
a. $\frac{15}{2}-6 \ln 2$ sq. units
b. $\frac{13}{2}-3 \ln 2$ sq. units
c. $\frac{13}{2}-6 \ln 2$ sq. units
d. None of these | 1 |
13. Statement 1: The sum of coefficients in the expansion of $\left(3^{-x / 4}+3^{5 x / 4}\right)^{n}$ is $2^{n}$.
Statement 2: The sum of coefficients in the expansion of $(x+y)$ " is 2 " when we put $x=y=1$. | 1 |
Is God's existence of any importance? | 0 |
7. Let the vectors $\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}, \overrightarrow{\mathbf{c}}$ and $\overrightarrow{\mathbf{d}}$ be such that $(\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}) \times(\overrightarrow{\mathbf{c}} \times \overrightarrow{\mathbf{d}})=\overrightarrow{\mathbf{0}}$.... | 1 |
How do I extract or unzip or unrar a password protected zip or rar file? | 0 |
Despite its huge popularity in the US, American football has never become a big deal in other countries. Why not? | 0 |
Is it advisable to drop one more year for NEET 2017? | 0 |
30. Initially, the switch is in position 1 for a long time and then shifted to position 2 at $t=0$ as shown in figure. Just after closing the switch, the magnitude of current through the capacitor is
-glucose is
The structure of L-(-)-glucose is
(a)
(b)
 is tangents at vertex
b. locus of excentre of the circle described opposite to $\angle S$ is hyperbola
c. locus of excentre of the circle described... | 1 |
31. Calculate the hydrolysis constant of $\mathrm{NH}_4 \mathrm{Cl}$; determine the degree of hydrolysis of this salt in 0.01 M solution and the pH of the solution.
$K_{\mathrm{b}}\left(\mathrm{NH}_4 \mathrm{OH}\right)=1.8 \times 10^{-5}$
$$
\left(5.6 \times 10^{-10}, 2.4 \times 10^{-4}\right.
$$ | 1 |
41. Consider the following equilibrium in a closed container:
$$
\mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2}(\mathrm{~g})
$$
At a fixed temperature, the volume of the reaction container is halved. For this change which of the following statements holds true regarding the equilibriu... | 1 |
What Byzantine Emperor's request for assistance led to the First Crusade? | 0 |
How can I send a private message through Quora? | 0 |
Ex. 30. To 50 mL of $0.5 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}$, 75 mL of $0.25 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}$ is added. What is the concentration of the final solution if its volume is 125 mL ? | 1 |
What was the name of the political system that gave rents to knights in return for military service? | 0 |
Procurement jobs prospects in Saskatchewan? | 0 |
53. In the reaction, $P+Q \rightarrow R+S$, the time taken for $75 \%$ reaction of $P$ is twice the time taken for $50 \%$ reaction of $P$. The concentration of $Q$ varies with reaction time as shown in the figure. The overall order of the reaction is
 Find the probability that she reads neither Hindi nor English newspapers. | 1 |
What does NARTH disagree with? | 0 |
14. Let $a, b, c$ be distinct non-negative numbers. If the vectors $a \hat{\mathbf{i}}+a \hat{\mathbf{j}}+c \hat{\mathbf{k}}, \hat{\mathbf{i}}+\hat{\mathbf{k}}$ and $c \hat{\mathbf{i}}+c \hat{\mathbf{j}}+b \hat{\mathbf{k}}$ lie in a plane, then $c$ is
(a) the arithmetic mean of $a$ and $b$
(b) the geometric mean of... | 1 |
Why do we need case studies? | 0 |
When was Canada given full control of its constitution? | 0 |
Which is the best gaming laptop in 60000 Rs? | 0 |
What is the first thing men look for in a woman? | 0 |
What is email etiquette? | 0 |
1. Let $M$ and $N$ be two $3 \times 3$ non-singular skew symmetric matrices such that $M N=N M$. If $P^{T}$ denotes the transpose of $P$, then $M^{2} N^{2}$ $\left(M^{\mathrm{\top}} N\right)^{-1}\left(M N^{-1}\right)^{\mathrm{T}}$ is equal to
a. $\dot{M}^{2}$
b. $-N^{2}$
c. $-M^{2}$
d. $M N$ | 1 |
5. $\int(g(x)+1) \sin x d x$ is equal to
a. $\frac{e^{x}}{2}(\sin x-\cos x)$
b. $\frac{e^{2 x}}{5}(2 \sin x-\cos x)$
c. $\frac{e^{x}}{5}(\sin 2 x-\cos 2 x)$
d. None of these | 1 |
9. If $P(1)=0$ and $\frac{d P(x)}{d x}>P(x)$ for all $x \geq 1$, then
$$
\begin{array}{ll}
\text { a. } P(x)>0 \forall x>1 & \text { h. } P(x) \text { is a constant function } \\
\text { c. } P(x)<0 \forall x>1 & \text { d. None of these }
\end{array}
$$ | 1 |
How does hydrogen bonding work? | 0 |
26. Kinetic energy per mole of an ideal gas
(a) is proportional to temperature
(b) inversely proportional to temperature
(c) is independent of temperature
(d) is zero at $0^{\circ} \mathrm{C}$ | 1 |
What year was construction of Terminal 3 of Indira Gandhi airport finished? | 0 |
From where can I learn programming? | 0 |
What do you think of Donald Trump inviting Gennifer Flowers to the first presidential debate? | 0 |
3. Let the population of rabbits surviving at a time $t$ be governed by the differential equation $\frac{d p(t)}{d t}=\frac{1}{2} p(t)-200$. If $p(0)=100$, then $p(t)$ is equal to
(a) $400-300 e^{\frac{t}{2}}$
(b) $300-200 e^{-\frac{t}{2}}$
(c) $600-500 e^{\frac{1}{2}}$
(d) $400-300 e^{-\frac{t}{2}}$ | 1 |
15. Benzyl chloride $\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{Cl}\right)$ can be prepared from toluene by chlorination with
(a) $\mathrm{SO}_{2} \mathrm{Cl}_{2}$
(b) $\mathrm{SOCl}_{2}$
(c) $\mathrm{Cl}_{2}$
(d) $\mathrm{NaOCl}$ | 1 |
Who said that architecture was able extend beyond function? | 0 |
How much profit is there in poultry farms in India? | 0 |
5. Two protons are having same kinetic energy. One proton enters a uniform magnetic field at right angles to it. Second proton enters a uniform electric field in the direction of field. After some time their de-Broglie wavelengths are $\lambda_{1}$ and $\lambda_{2}$, then
(a) $\lambda_{1}=\lambda_{2}$
(b) $\lambda_{1}<... | 1 |
24. The mole fraction of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ in an aqueous binary solution is 0.1 . The mass percentage of water in it, to the nearest integer, is | 1 |
Another term for electoral fraud is what? | 0 |
Does an H1B visa from 14 years ago qualify for H1B cap exemption? | 0 |
How should you value time? | 0 |
1. Let $z=\frac{\sqrt{3}}{2}+\frac{i}{2}^{5}+\frac{\sqrt{3}}{2}-\frac{i}{2}^{5}$. If $R(z)$ and $I(z)$ respectively denote the real and imaginary parts of $z$, then
(2019 Main, 10 Jan II)
(a) $R(z)>0$ and $I(z)>0$
(b) $I(z)=0$
(c) $R(z)<0$ and $I(z)>0$
(d) $R(z)=-3$ | 1 |
What is the name of the region which is home to Dungarpur? | 0 |
Ex. 56. Will MnS be precipitated from a decimolar solution of $\mathrm{Mn}^{2+}$ containing $0.01 \mathrm{M} \mathrm{H}^{+}$ions by passing $\mathrm{H}_{2} \mathrm{~S}$ ? Neglect hydrolysis of $\mathrm{S}^{2-}$ ions.
$$
K_{\mathrm{sp}}(\mathrm{MnS})=1.4 \times 10^{-15}, K_{\mathrm{H}_{2} \mathrm{~S}}=1.1 \times 10^{-2... | 1 |
4. In case of hydrogen and oxygen at NTP, which of the following is the same for both?
(a) Average linear momentum per molecule
(b) Average KE per molecule
(c) KE per unit volume
(d) KE per unit mass | 1 |
1. The value of $\tan \left[\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)\right]$ is
a. $\frac{6}{17}$
b. $\frac{7}{16}$
c. $\frac{16}{7}$
d none of these | 1 |
(vii) $p, p$ '-Dihydroxybenzophenone | 1 |
Is India the world's largest English speaking country? | 0 |
What is the best way to get through life in the world of the anime "One Piece"? | 0 |
What are good gifts for a foreign visitor to bring when they're invited to someone's home in Albania for the first time? | 0 |
10. One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
(a) 0.25
(b)... | 1 |
Does anyone of you feel like this? | 0 |
23. Identify the set of reagent / reaction conditions ' $X$ ' and ' $Y$ ' in the following set of transformations
$$
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2} \mathrm{Br} \xrightarrow{X} \text { Product } \xrightarrow{Y} \underset{\mathrm{Br}}{\mathrm{Y}} \mathrm{CH}_{3}-\underset{\mathrm{C}}{\mathrm{CH}}-\mat... | 1 |
11. The figure shows a graph of the current in a discharging circuit of a capacitor through a resistor of resistance $10 \Omega$.
(a) The initial potential difference across the capacitor is $100 \mathrm{~V}$
(b) The capacitance of the capacitor is $\frac{1}{10 \ln 2} \mathrm{~F}$
(c) The total heat produced in the ... | 1 |
How many acre's will harvest by using 1 TMC of water? Request | 0 |
8. If $y=\sqrt{(a-x)(x-b)}-(a-b) \tan ^{-1} \sqrt{\frac{a-x}{x-b}}$, then $\frac{d y}{d x}$ is equal to
a. 1
b. $\sqrt{\frac{a-x}{x-b}}$
c. $\sqrt{(a-x)(x-b)}$
d. $\frac{1}{\sqrt{(a-x)(b-x)}}$ | 1 |
10.31 Which one of the following alkali metals gives hydrated salts ?
(a) Li
(b) Na
(c) K
(d) Cs | 1 |
What type of architectural is especially known for its regional differences | 0 |
100. From the point $(15,12)$, three normals are drawn to the parabola $y^{2}=4 x$, then centroid of triangle formed by three co-normals points is
a. $\left(\frac{16}{3}, 0\right)$
b. $(4,0)$
c. $\left(\frac{26}{3}, 0\right)$
d. $(6,0)$ | 1 |
A set of interconnected areas at the base of the forebrain is called what? | 0 |
What is the difference between an intellectual and an academic? | 0 |
When was the first public group for Humanist founded? | 0 |
6. Tangent and normal are drawn at $P(16,16)$ on the parabola $y^{2}=16 x$, which intersect the axis of the parabola at $A$ and $B$, respectively. If $C$ is the centre of the circle through the points $P, A$ and $B$ and $\angle C P B=\theta$, then a value of $\tan \theta$ is
(a) $\frac{1}{2}$
(b) 2
(c) 3
(d) $\frac{4}{... | 1 |
What are your views on Cyrus Mistry being removed as Chairperson of Tata Sons? | 0 |
22. The total number of electrons in one molecule of carbon dioxide is
(a) 22
(b) 44
(c) 66
(d) 88 | 1 |
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