Question stringlengths 2 3k | label int64 0 1 |
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2. No charge will flow when two conductors having the same charge are connected to each other. Is this statement true or false? | 1 |
20. The number of bridging CO ligand(s) and Co-Co bond(s) in $\mathrm{Co}_{2}(\mathrm{CO})_{8}$, respectively are:[Main Jan. 11, 2019 (III)]
(a) 2 and 1
(b) 2 and 0
(c) 0 and 2
(d) 4 and 0 | 1 |
What century had comics in wide production? | 0 |
4. Two masses $m_{1}=5 \mathrm{~kg}$ and $m_{2}=10 \mathrm{~kg}$ connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15 . The minimum weight $m$ that should be put
 of its weight recorded at a latitude of $60^{\circ}$. The density of the planet (assumed to be uniform) is given by :
(a) $\left(\frac{4-f}{1-... | 1 |
(ii) $f(x)=\sin x+\cos x, x \in[0, \pi]$ | 1 |
14. The IUPAC name of $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{COCl}$ is
(a) Benzene chloro ketone
(b) Benzoyl chloride
(c) Chloro phenyl ketone
(d) Benzene carbonyl chloride | 1 |
How do you say "Austrian Government" in Austrian German? | 0 |
35. The angular acceleration of the ring and its direction of rotation as seen from above
(a) $\frac{B_{0} q}{m}$
(b) $\frac{B_{0} q}{2 m}$
(c) $\frac{2 B_{0} q}{m}$
(d) $\frac{\pi B_{0} q}{m}$ | 1 |
5. There is no friction between blocks $B$ and $C$. But ground is rough. Pulleys are smooth and massless and strings are light. For $F=10 \mathrm{~N}$, whole system remains stationary. Match the following two columns. $\left(m_{B}=m_{C}=1 \mathrm{~kg}\right.$ and $\left.g=10 \mathrm{~ms}^{-2}\right)$
 x^{2}-2 c x+(c-4)$ $=0, c \neq 5$. Let $S$ be the set of all integral values of $c$ for which one root of the equation lies in the interval $(0,2)$ and its other root lies in the interval $(2,3)$. Then, the number of elements in $S$ is
(2019 Main, 10 Jan I)
(a) 11
(b) 10
(c) ... | 1 |
How To speak English Fluently ? | 0 |
Why do people become therapists and what is their true role. | 0 |
What are the main differences between a bachelor's and a graduate degree in agriculture in terms of career prospects? | 0 |
28. If $x, y, z$ are in G.P. and $a^{z}=b^{y}=c^{2}$, then
a. $\log _{b} a=\log _{a} c$
b. $\log _{c} b=\log _{a} c$
c. $\log _{b} a=\log _{c} b$
d. none of these | 1 |
What are the top 10 classic novels that will change your outlook on life? | 0 |
What are some of the sets or ideals most school systems follow? | 0 |
Which country did England negotiate the Treaty of London with? | 0 |
43. If $e^{x}=\frac{\sqrt{1+t}-\sqrt{1-t}}{\sqrt{1+t}+\sqrt{1-t}}$ and $\tan \frac{y}{2}=\sqrt{\frac{1-t}{1+t}}$, then $\frac{d y}{d x}$ at $t=\frac{1}{2}$ is
a. $-\frac{1}{2}$
b. $\frac{1}{2}$
c. 0
d. None of these | 1 |
What are some Biblical stories everyone should know? (Like Adam and Eve or Cain and Abel). | 0 |
28. 1-Chlorobutane on reaction with alcoholic potash gives
(a) 1-butene
(b) 1-butanol
(c) 2-butene
(d) 2-butanol | 1 |
Will there ever be a war fought over control of Antarctica? | 0 |
How did Japan rise to be a world power during the Meja era? | 0 |
(ii) F or Cl | 1 |
Are gay men promiscuous? | 0 |
Along with Naples, what city still traded African goods in the 7th century? | 0 |
40. Calculate the amount of heat radiated per second by a body of surface area $12 \mathrm{~cm}^{2}$ kept in thermal equilibrium in a room at temperature $20^{\circ} \mathrm{C}$. The emissivity of the surface $=0.80$ and $\sigma=6.0 \times 10^{-8} \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-4}$. | 1 |
1. For the reaction
$\mathrm{Fe}_{2} \mathrm{~N}(\mathrm{~s})+\frac{3}{2} \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{Fe}(\mathrm{s})+\mathrm{NH}_{3}(\mathrm{~g})$
(a) $K_{\mathrm{c}}=K_{\mathrm{p}}(\mathrm{RT})$
(b) $K_{\mathrm{c}}=K_{\mathrm{p}}(\mathrm{RT})^{\frac{-1}{2}}$
(c) $K_{\mathrm{c}}=K_{\... | 1 |
Can you share best day of your life? | 0 |
Ideology: What are weaknesses of democracy system? | 0 |
93. Let $I_{1}=\int_{-2}^{2} \frac{x^{6}+3 x^{5}+7 x^{4}}{x^{4}+2} d x$ and $I_{2}=\int_{-3}^{1} \frac{2(x+1)^{2}+11(x+1)+14}{(x+1)^{4}+2} d x$, then the value of $I_{1}+I_{2}$ is
a. 8
b. $200 / 3$
c. $100 / 3$
d. None of these | 1 |
18. (a) A longitudinal wave propagating in a water-filled pipe has intensity $3.00 \times 10^{-6} \mathrm{~W} / \mathrm{m}^{2}$ and frequency $3400 \mathrm{~Hz}$. Find the amplitude $A$ and wavelength $\lambda$ of the wave. Water has density $1000 \mathrm{~kg} / \mathrm{m}^{3}$ and bulk modulus $2.18 \times 10^{9} \mat... | 1 |
4. Mark out the correct options.
(a) Luminous flux and radiant flux have same dimensions.
(b) Luminous flux and luminous intensity have same dimensions.
(c) Radiant flux and power have same dimensions.
(d) Relative luminosity is a dimensionless quantity. | 1 |
15. Consider the situation of the previous problem. Assume that the temperature of the water at the bottom of the lake remains constant at $4^{\circ} \mathrm{C}$ as the ice forms on the surface (the heat required to maintain the temperature of the bottom layer may come from the bed of the lake). The depth of the lake i... | 1 |
What does the FBO effect stand for? | 0 |
What is the most difficult question you were not able to answer in your life? | 0 |
(i)
 | 1 |
I temporarily deactivated my Instagram account. Now when I try to reactivate it by logging in, it says that my username doesn't exist? | 0 |
9. The equations of the plane which passes through $(0,0,0)$ and which is equally inclined to the planes $x-y+z-3=0$ and $x+y+z+4=0$ is/are
a. $y=0$
b. $x=0$
c. $x+y=0$
d. $x+z=0$ | 1 |
2. Let $f$ and $g$ be differentiable functions satisfying $g^{\prime}(a)$ $=2, g(a)=b$ and $f \circ g=I$ (identity function). Then $f^{\prime}(b)$ is equal to
a. $\frac{1}{2}$
b. 2
c. $\frac{2}{3}$
d. None of these | 1 |
Is Malawi a beautiful country? | 0 |
15. Arrange the following bonds in order of increasing $\mathrm{C}-\mathrm{C}$ bond strength.
(A) i < ii < iii
(B) i < iii < ii
(C) ii $<$ iii $<$ i
(D) iii $<$ ii < i
(E) iii < i < ii | 1 |
6. Find the percentage of nitrogen in an organic compound analysed by Kjeldahl method. 1.61 g of the compound produced $\mathrm{NH}_{3}$ which was absorbed in 250 mL of $\frac{\mathrm{N}}{2} \mathrm{H}_{2} \mathrm{SO}_{4}$ solution. The remaining acid was then diluted to one litre, 25 mL of which required 25.5 mL of $\... | 1 |
Can I become a millionaire selling watches? | 0 |
37. In the dichromate anion,
(a) $4 \mathrm{Cr}-\mathrm{O}$ bonds are equivalent
(b) $6 \mathrm{Cr}-\mathrm{O}$ bonds are equivalent
(c) all $\mathrm{Cr}-\mathrm{O}$ bonds are equivalent
(d) all $\mathrm{Cr}-\mathrm{O}$ bonds are nonequivalent | 1 |
How do I study for my exams? | 0 |
Which hotel is safe for unmarried couple in Kolkata? | 0 |
Whose theory discussed action tendencies? | 0 |
What should I do now? Should I propose her or not? | 0 |
Why do all Greek statues have such small penises? | 0 |
How many main emotions exist in Plutchik's theory? | 0 |
What is the best method to grow my Instagram page? | 0 |
What discipline examines the role emotions play in culture? | 0 |
22. The form of iron obtained from blast furnace is:
(a) Steel
(b) Cast Iron
(c) Pig Iron
(d) Wrought Iron | 1 |
What did Homo Sapiens acquire that allowed them to become aware of Culture? | 0 |
How can I write a good essay in English? | 0 |
28.
| | Column-I | | Column- II |
| :--- | :--- | :--- | :--- |
| (A) | If $\|\vec{a}\|=\|\vec{b}\|=\|\vec{c}\|$, angle between each pair of vectors is $\frac{\pi}{3}$ <br> $\|\vec{a}+\vec{b}+\vec{c}\|=\sqrt{6}$, then $2\|\vec{a}\|$ is equal to | (p) | 3 |
| (B) | If $\vec{a}$ is perpendicular to $\vec{b}+\vec{c}, ... | 1 |
29. The greatest angle of the triangle is
(a) $\pi-\cos ^{-1}\left(\frac{16}{65}\right)$
(b) $\sin ^{-1}\left(\frac{16}{65}\right)$
(c) $\cos ^{-1}\left(\frac{63}{65}\right)$
(d) None of these | 1 |
Russian victories against which countries increased British fears? | 0 |
Who founded a religion whose cornerstone was deism? | 0 |
5. Differentiate $\tan ^{-1} \frac{x}{1+\sqrt{\left(1-x^{2}\right)}}$
$$
+\sin \left\{2 \tan ^{-1} \sqrt{\left(\frac{1-x}{1+x}\right)}\right\} \text { w.r.t. } x
$$ | 1 |
- Example 2 Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space. | 1 |
Why do people ask questions on Quora? | 0 |
4.16. A particle of mass $m$ is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate $x$ as $U(x)=U_{0}(1-\cos a x) ; U_{0}$ and $a$ are constants. Find the period of small oscillations that the particle performs about the equilibrium position. | 1 |
3. The number of roots of the equation $f(g(x))=2$ is
a. 1
b. 2
c. 4
d None of these | 1 |
What is love? What importance in my life? | 0 |
What does the American Psychological Assocation distinguish between? | 0 |
1. If $M$ and $N$ are any two events, the probability that exactly one of them occurs is
a. $P(M)+P(N)-2 P(M \cap N)$
b. $P(M)+P(N)-P(M \cap N)$
c. $P\left(M^{C}\right)+P\left(N^{C}\right)-2 P\left(M^{C} \cap N^{c}\right)$
d. $P(M \cap N)+P\left(M^{c} \cap N\right)$ | 1 |
5. For which of the following species, Bohr theory does not apply?
(a) H
(b) $\mathrm{H}^{+}$
(c) $\mathrm{He}^{+}$
(d) $\mathrm{Li}^{2+}$ | 1 |
14. $\frac{d^{2} x}{d y^{2}}$ equals
(2007, 3M)
(a) $\frac{d^{2} y}{d x^{2}}$
(b) $-{\frac{d^{2} y^{2}}{d x^{2}}}^{-1} \frac{d y}{d x}{ }^{-3}$
(c) $\frac{d^{2} y}{d x^{2}} \quad \frac{d y}{d x}{ }^{-2}$
(d) $-{\frac{d^{2} y}{d x^{2}} \quad \frac{d y}{d x}}^{-3}$ | 1 |
25. A gas ' $X$ ' diffuses five times as rapidly as another gas ' $Y$ '. Calculate the ratio of molecular weights of ' $X$ ' and ' $Y$ '. | 1 |
27. A thin convex lens of focal length $30 \mathrm{~cm}$ is placed in front of a plane mirror. An object is placed at a distance $x$ from the lens (not in between lens and mirror) so that its final image coincides with itself. Then, the value of $x$ is
(a) $15 \mathrm{~cm}$
(b) $30 \mathrm{~cm}$
(c) $60 \mathrm{~cm}$
(... | 1 |
1. An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well-shuffled pack of 11 cards numbered $2,3,4, \ldots$, 12 is picked and the number on the card is noted. What is the... | 1 |
What are polymers? | 0 |
4. Let $S=\{1,2, \ldots, 20\}$. $A$ subset $B$ of $S$ is said to be "nice", if the sum of the elements of $B$ is 203 . Then, the probability that a randomly chosen subset of $S$ is "nice", is
(2019 Main, 11 Jan II)
(a) $\frac{6}{2^{20}}$
(b) $\frac{4}{2^{20}}$
(c) $\frac{7}{2^{20}}$
(d) $\frac{5}{2^{20}}$ | 1 |
How does it feel like becoming attractive and beautiful from unattractive and ugly? | 0 |
Timing and pace of comics is made by adjusting size, shape and what of panels? | 0 |
When did the civil was begin? | 0 |
What is the geographical feature New Delhi lies on that is responsible for frequent earthquakes? | 0 |
Sites + paid + user testing? | 0 |
What are the biggest differences between Chinese culture and western culture? | 0 |
3.3 Consult the table of standard electrode potentials and suggest three substances that can oxidise ferrous ions under suitable conditions. | 1 |
10.5 A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter 1.0 cm . What is the pressure exerted by the heel on the horizontal floor? | 1 |
Why were early mammals active at night? | 0 |
16. If $\vec{a}$ and $\vec{b}$ are two unit vectors such that $\vec{a}+2 \vec{b}$ and $5 \vec{a}-4 \vec{b}$ are perpendicular to each other, then the angle between, $\vec{a}$ and $\vec{b}$ is
a. $45^{\circ}$
b. $60^{\circ}$
c. $\cos ^{-1}(1 / 3)$
d. $\cos ^{-1}(2 / 7)$ | 1 |
Can I lose weight without exercise? | 0 |
20. An aqueous solution containing $20 \%$ by weight of liquid $X$ (mol. wt. $=140$ ) has a vapour pressure 160 mm at $60^{\circ} \mathrm{C}$. Calculate the vapour pressure of pure liquid ' $X$ ' if the vapour pressure of water is 150 mm at $60^{\circ} \mathrm{C}$.
( 470.5 mm ) | 1 |
4. For the circuit shown with $R_{1}=1.0 \Omega, R_{2}=2.0 \Omega, E_{1}=2 \mathrm{~V}$ and $E_{2}=E_{3}=4 \mathrm{~V}$, the potential difference between the points $a$ and $b$ is approximately (in volt) (2019 Main, 8 April I)
\left(\sqrt{1-x^{2}}\right)^{m}+C$,
for a suitable chosen integer $m$ and a function $A(x)$, where $C$ is a constant of integration, then $(A(x))^{m}$ equals
(a) $\frac{1}{9 x^{4}}$
(b) $\frac{-1}{3 x^{3}}$
(c) $\frac{-1}{27 x^{9}}$
(d) $\frac{1}{27 x^{6}}$ | 1 |
Which song makes you cry every time, even when you're not sad? | 0 |
Why is ice less dense than water? | 0 |
Which country is considering joining the Southeast Asian Nations (ASEAN)? | 0 |
29 SSM A point source emits sound waves isotropically. The intensity of the waves 2.50 m from the source is $1.91 \times 10^{-4} \mathrm{~W} / \mathrm{m}^{2}$. Assuming that the energy of the waves is conserved, find the power of the source. | 1 |
When did part of the world health organization release a statement about curing homosexuals? | 0 |
In this theory, what action evokes an emotion? | 0 |
19. Which of the following compound are functional group isomers of $\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{2}$ ?
(1) Methyl propanoate
(2) 4-hydroxybutanal
(3) Butane-1,4-diol
(A) (1) and (2) only
(B) (1) and (3) only
(C) (2) and (3) only
(D) (1) (2) and (3) | 1 |
9. The wavelength associated with a golf ball weighing $200 \mathrm{~g}$ and moving at a speed of $5 \mathrm{~m} / \mathrm{h}$ is of the order
(a) $10^{-10} \mathrm{~m}$
(b) $10^{-20} \mathrm{~m}$
(c) $10^{-30} \mathrm{~m}$
(d) $10^{-40} \mathrm{~m}$ | 1 |
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