Question stringlengths 2 3k | label int64 0 1 |
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13. A cubical region of side $a$ has its centre at the origin. It encloses three fixed point charges, $-q$ at $(0,-a / 4,0),+3 q$ at $(0,0,0)$ and $-q$ at $(0,+a / 4$, $0)$. Choose the correct options(s)
(a) The net electric flux crossing the plane $x=+a / 2$ is equal to the net electric flux crossing the plane $x=-a ... | 1 |
50. The tangent to the curve $y=e^{k x}$ at a point $(0,1)$ meets the $x$-axis at $(a, 0)$ where $a \in[-2,-1]$, then $k \in$
a $[-1 / 2,0]$
b. $[-1,-1 / 2]$
c. $[0,1]$
d $[1 / 2,1]$ | 1 |
What is it like to go through a secondary inspection during the immigration to the US? | 0 |
41. If $\sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\pi$, then $x^{4}+y^{4}+z^{4}+4 x^{2} y^{2} z^{2}=K\left(x^{2} y^{2}+y^{2} z^{2}+z^{2} x^{2}\right)$, where $K$ is equal to
a. 1
b. 2
c. 4
d none of these | 1 |
When was the Global Integrity Index first published? | 0 |
What military arm did the Visigoths have a large amount of? | 0 |
29. If $x \neq 0, y \neq 0, z \neq 0$ and $\left|\begin{array}{ccc}1+x & 1 & 1 \\ 1+y & 1+2 y & 1 \\ 1+z & 1+z & 1+3 z\end{array}\right|=0$, then $x^{-1}+y^{-1}+z^{-1}$ is equal to
a. -1
b. -2
c. -3
d. none of these | 1 |
34. A thin uniform rod of mass $M$ and length $L$ is hinged at its upper end, and released from rest from a horizontal position. The tension at a point located at a distance $L / 3$ from the hinge point, when the rod becomes vertical, will be
(a) $22 \mathrm{Mg} / 27$
(b) $11 \mathrm{Mg} / 13$
(c) $6 \mathrm{Mg} / 11$
... | 1 |
35. The orthocentre of the triangle formed by the lines $x y=0$ and $x+y=1$,is
(a) $\frac{1}{2}, \frac{1}{2}$
(b) $\frac{1}{3}, \frac{1}{3}$
(c) $(0,0)$
(d) $\frac{1}{4}, \frac{1}{4}$ | 1 |
Which new regime appeared in the Balkan region during the Late Middle Ages? | 0 |
32. 150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on third day and so on.
It took 8 more days to finish the work. Find the number of days in which the work was completed. | 1 |
77. Addition of high proportions of manganese makes steel useful in making rails of railroads, because manganese
(a) gives hardness to stee
(b) helps the formation of oxides of iron
(c) can remove oxygen and sulphur
(d) can show highest oxidation state of +7 . | 1 |
Who wrote The Travels of Marco Polo? | 0 |
5. A convex lens $L_{1}$ and a concave lens $L_{2}$ have refractive index 1.5. Match the following two columns.
| Column I | | Column II | |
| :---: | :---: | :---: | :---: |
| (a) | $L_{1}$ is immersed in a liquid of refractive <br> index 1.4 | $(\mathrm{p})$ | Lens will behave as convex lens |
| (b) | $L_{1}$ is i... | 1 |
What Bohemian movement was influenced by Wycliffe? | 0 |
25. Tischenko reaction is a modification of :
(a) Aldol condensation
(b) Claisen condensation
(c) Cannizzaro reaction
(d) Pinacol-pinacolon reaction | 1 |
21. The value of $\int_{0}^{\frac{\pi}{2}} \log \left(\frac{4+3 \sin x}{4+3 \cos x}\right) d x$ is
(A) 2
(B) $\frac{3}{4}$
(C) 0
(D) -2 | 1 |
What are the different social classes in India and the subclasses within a class? And how does one distinguish among them? | 0 |
5. $y=f(x)$ is
a. injective but not surjective
b. surjective but not injective
c. bijective
d. neither injective nor surjective | 1 |
26. A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance $l$ from the cylinder holds one end of the string and pulls the cylinder towards him (figure 10-Q4). There is no slipping anywhere. The length of the string passed through the... | 1 |
Is it normal for an official ps3 remote control to have some buttons not working when batteries are almost dead? | 0 |
What are the career options after electrical and electronics engineering? | 0 |
What do most open education sources offer? | 0 |
44. The $\mathrm{pH}$ of a $10^{-8}$ molar solution of $\mathrm{HCl}$ in water is
(a) 8
(b) -8
(c) between 7 and 8
(d) between 6 and 7 | 1 |
48. An electrode is prepared by dipping a silver strip into a solution saturated with silver thiocyanate, AgSCN , and containing $0 \cdot 10 \mathrm{M} \mathrm{SCN}^{-}$. The emf of the voltaic cell constructed by connecting this electrode as the cathode to the standard hydrogen half cell as the anode is 0.45 V . What ... | 1 |
37. A monkey is climbing on a rope that goes over a smooth light pulley and supports a block of equal mass at the other end (figure 5-E19). Show that whatever force the monkey exerts on the rope, the monkey and the block. move in the same direction with equal acceleration. If initially both were at rest, their separati... | 1 |
What is also used interchangeably with Education psychology? | 0 |
36. If a function $f(x)$ has $f^{\prime}(a)=0$ and $f^{\prime \prime}(a)=0$, then
a. $x=a$ is a maximum for $f(x)$
h $x=a$ is a minimum for $f(x)$
c. it is difficult to say $a$ and $b$
d. $f(x)$ is necessarily a constant function | 1 |
 | 1 |
Can the Playstation 4 play older PS3 games? | 0 |
How is the indian constitution flexible? | 0 |
How did Thrillist get to 2 million subscribers? | 0 |
24. On heating an aliphatic primary amine with chloroform and ethanolic potassium hydroxide, the organic compound formed is:
(a) an alkanol
(b) an alkanediol
(c) an alkyl cyanide
(d) an alkyl isocyanide | 1 |
1. A pendulum is executing simple harmonic motion and its maximum kinetic energy is $K_{1}$. If the length of the pendulum is doubled and it performs simple harmonic motion with the same amplitude as in the first case, its maximum kinetic energy is $K_{2}$. Then
(2019 Main, 11 Jan III)
(a) $K_{2}=2 K_{1}$
(b) $K_{2}=\... | 1 |
5. Let $r$ be the distance of a point on the axis of a magnetic dipole from its centre. The magnetic field at such a point is proportional to
(a) $\frac{1}{r}$
(b) $\frac{1}{r^{2}}$
(c) $\frac{1}{r^{3}}$
(d) none of these. | 1 |
2. $\mathrm{Sn}(\mathrm{OH})_{3}^{-}+\mathrm{Bi}(\mathrm{OH})_{3}+\mathrm{OH}^{-}=\mathrm{Sn}(\mathrm{OH})_{6}^{2-}+\mathrm{Bi}$ | 1 |
How can density and volume be calculate? | 0 |
10. Let $\vec{a}=2 i+j-2 k$ and $b=i+j$. If $c$ is a vector such that $\vec{a} \cdot \vec{c}=|\vec{c}|,|\vec{c}-\vec{a}|=2 \sqrt{2}$ and the angle between $\vec{a} \times \vec{b}$ and $\vec{c}$ is $30^{\circ}$, then $|(\vec{a} \times \vec{b}) \times \vec{c}|$ is equal to
a. $2 / 3$
b. $3 / 2$
c. 2
d. 3 | 1 |
8. If $a, b, c, d$ are four consecutive terms of an increasing AP, then the roots of the equation $(x-a)(x-c)+2(x-b)(x-d)=0$ are
(a) real and distinct
(b) non-real complex
(c) real and equal
(d) integers | 1 |
Why do some animals have long tails, what is the basic function of a tail? | 0 |
12. The correct order of the spin-only magnetic moments of the following complexes is:
[Main Jan. 09, 2020 (II)]
(A) $\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{Br}_{2}$
(B) $\mathrm{Na}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
(C) $\mathrm{Na}\left[\mathrm{Fe}_{3}\left(\mathrm{... | 1 |
Which is the best mobile below 10k INR ($150)? | 0 |
What is the most heavily forested region in Rajasthan? | 0 |
13. With what minimum speed should $m$ be projected from point $C$ in presence of two fixed masses $M$ each at $A$ and $B$ as shown in the figure such that mass $m$ should escape the gravitational attraction of $A$ and $B$ ?
(a) $\sqrt{\frac{2 G M}{R}}$
(b) $\sqrt{\frac{2 \sqrt{2} G M}{R}}$
(c) $2 \sqrt{\frac{G M}{R}}$... | 1 |
I do not understand credit hours? | 0 |
62. In an examination of nine papers, a candidate has to pass in more papers than the number of papers in which he fails in order to be successful. The number of ways in which he can be unsuccessful is
a. 255
b. 256
c. 193
d. 319 | 1 |
6. Derive a formula for the volume of water, $V_{2}$, which must be added to $V_{1} \mathrm{~mL}$ of concentrated solution of molarity $M_{1}$ to give a solution of molarity $M_{2}$.
$$
\left[V_{2}=\frac{V_{1}\left(M_{1}-M_{2}\right)}{M_{2}}\right]
$$ | 1 |
11. How many elements of unsaturation are implied by the molecular formula C 5H 8O?
(A) 0 (B) 1 (C) 2 (D) 3
(E) 4 | 1 |
46. Read the following statement and explanation and answer as per the options given below :
Assertion : Sulphate is estimated as $\mathrm{BaSO}_{4}$ and not as $\mathrm{MgSO}_{4}$. Reason : Ionic radius of $\mathrm{Mg}^{2+}$ is smaller than that of $\mathrm{Ba}^{2+}$.
(a) If both assertion and reason are correct, an... | 1 |
1. The mass of a neutral carbon atom in ground state is
(a) exact $12 \mathrm{u}$
(b) less than $12 \mathrm{u}$
(c) more than $12 \mathrm{u}$
(d) depends on the form of carbon such as graphite or charcoal. | 1 |
How do I overcome my second failure? | 0 |
Ex. 33. An aromatic hydrocarbon $(\mathrm{A})($ mol. wt. $=78$ ) contains $92.3 \%$ of carbon. (A), on treatment with bromine in the dark, produced (B) which contains $45.85 \%$ of carbon, $3.19 \%$ of hydrogen and $50.96 \%$ of bromine. (B), on heating with $\mathrm{CH}_{3} \mathrm{Br}$ and Na in etherical solution, g... | 1 |
What does Auto didacticism generally mean? | 0 |
7. The product of matrices $A=\left[\begin{array}{cc}\cos ^{2} \theta & \cos \theta \sin \theta \\ \cos \theta \sin \theta & \sin ^{2} \theta\end{array}\right]$ and
$B=\left[\begin{array}{cc}\cos ^{2} \phi & \cos \phi \sin \phi \\ \cos \phi \sin \phi & \sin ^{2} \phi\end{array}\right]$ is a null matrix if $\theta-\phi... | 1 |
In what year did the Delhi Flying club begin operations? | 0 |
Cyberabad contains a national park, what is it? | 0 |
3. The number of integers greater than 6000 that can be formed using the digits $3,5,6,7$ and 8 without repetition is
(2015 Main)
(a) 216
(b) 192
(c) 120
(d) 72 | 1 |
Why wont US citizens create a national strike to demand a full change in government if they are unhappy with the corruption that the government holds? | 0 |
How do I put up my profile photo on Quora? It doesn't have an option. | 0 |
I am scoring 430-480 In Allen Minor tests Achievers batch (last phase) and I am 1st time dropper. what are my chances of getting college by NEET/AIIMS? | 0 |
Which is the best way to earn money without working hard give examples? | 0 |
What did Einstein discover a resolution to? | 0 |
31. A block of mass $m$ is directly pulled up slowly on a smooth inclined plane of height $h$ and inclination $\theta$ with the help of a string parallel to the incline. Which of the following statement is incorrect for the block when it moves up from the bottom to the top of the incline?
(a) Work done by the normal r... | 1 |
51. The solution of differential equation
$\frac{x+y \frac{d y}{d x}}{y-x \frac{d y}{d x}}=\frac{x \cos ^{2}\left(x^{2}+y^{2}\right)}{y^{3}}$ is
a. $\tan \left(x^{2}+y^{2}\right)=\frac{x^{2}}{y^{2}}+c \quad$ b. $\cot \left(x^{2}+y^{2}\right)=\frac{x^{2}}{y^{2}}+c$
c. $\tan \left(x^{2}+y^{2}\right)=\frac{y^{2}}{x^{2}}+... | 1 |
What was James I's name/title before taking the English throne? | 0 |
In what language did the Vedic culture speak? | 0 |
17. Vectors $\vec{A}$ and $\vec{B}$ satisfying the vector equation $\vec{A}+\vec{B}=\vec{a}, \vec{A} \times \vec{B}=\vec{b}$ and $\vec{A} \cdot \vec{a}=1$, where $\vec{a}$ and $\vec{b}$ are given vectors, are
a. $\vec{A}=\frac{(\vec{a} \times \vec{b})-\vec{a}}{a^{2}}$
b. $\vec{B}=\frac{(\vec{b} \times \vec{a})+\vec{a}\... | 1 |
In what year was the foundation stone of New Delhi laid? | 0 |
25. Complete the following with appropriate structures
(i)
$\rightarrow-{ }_{----}^{\mathrm{C}}$
(ii)
(c) | 1 |
41. A certain buffer solution contains equal concentration of $X^{-}$and $H X$. The $K_{b}$ for $X^{-}$is $10^{-10}$. The $\mathrm{pH}$ of the buffer is:
(a) 4
(b) 7
(c) 10
(d) 14 | 1 |
9. A dip circle is taken to geomagnetic equator. The needle is allowed to move in a vertical plane perpendicular to the magnetic meridian. The needle will stay
(a) in horizontal direction only
(b) in vertical direction only
(c) in any direction except vertical and horizontal
(d) in any direction it is released. | 1 |
Do alcohol drinks help stretching veins for people with narrow veins? | 0 |
What will you do when you miss your ex? | 0 |
1. A solution is prepared by dissolving $0.6 \mathrm{~g}$ of urea (molar mass $=60 \mathrm{~g}$ $\left.\mathrm{mol}^{-1}\right)$ and $1.8 \mathrm{~g}$ of glucose $\left(\right.$ molar mass $\left.=180 \mathrm{~g} \mathrm{~mol}^{-1}\right)$ in $100 \mathrm{~mL}$, of water at $27^{\circ} \mathrm{C}$. The osmotic pressure... | 1 |
20. The packing efficiency of the two-dimensional square unit cell shown below is :
(a) $39.27 \%$
(b) $68.02 \%$
(c) $74.05 \%$
(d) $78.54 \%$ | 1 |
How do I prepare and qualify for bank exams? | 0 |
Example 20 For a particle executing SHM, the displacement $x$ is given by $x=A \cos$ wt. Identify the graph which represents the variation of potential energy $(P E)$ as a function of time $t$ and displacement $x$.
 Anhydrous $\mathrm{CaSO}_{4}$
(b) $\mathrm{CaSO}_{4}{ }^{2} 5 \mathrm{H}_{2} \mathrm{O}$
(c) $\mathrm{CaSO}_{4}{ }^{4} 0.5 \mathrm{H}_{2} \mathrm{O}$
(d) Dead burnt plaster | 1 |
Is it possible to create a traversable wormhole? | 0 |
What belief did ancient cultures consider sacred? | 0 |
25. Under the same reaction conditions, initial concentration of $1.386 \mathrm{~mol}$ $\mathrm{dm}^{-3}$ of a substance becomes half in 40 seconds and 20 seconds through first order and zero order kinetics, respectively. Ratio $\left(k_{1} / k_{0}\right)$ of the rate constant for first order $\left(k_{1}\right)$ and z... | 1 |
8. The most suitable reagent for the given conversion is
(a) $\mathrm{B}_{2} \mathrm{H}_{6}$
(b) $\mathrm{NaBH}_{4}$
(c) $\mathrm{LiAlH}_{4}$
(d) $\mathrm{H}_{2} / \mathrm{Pd}$ | 1 |
How is plywood a furniture? | 0 |
103. Outline the accepted mechanism of the following reaction. Show the various steps including the charged intermediates.
 | 1 |
What civilizations used the divine and supernatural in their architecture? | 0 |
25. A coil has an inductance of $50 \mathrm{mH}$ and a resistance of $0.3 \Omega$. If a $12 \mathrm{~V}$ emf is applied across the coil, the energy stored in the magnetic field after the current has built up to its steady state value is
(a) $40 \mathrm{~J}$
(b) $40 \mathrm{~mJ}$
(c) $20 \mathrm{~J}$
(d) $20 \mathrm{~mJ... | 1 |
What is included in the final part of the critical apparatus? | 0 |
In what year was Mercury Records (US) bought out? | 0 |
44. What mass of water fell on the town in Problem 7? Water has a density of $1.0 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. | 1 |
38. The image of the line $\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-4}{-5}$ in the plane $2 x-y+z+3=0$ is the line
(a) $\frac{x+3}{3}=\frac{y-5}{1}=\frac{z-2}{-5}$
(b) $\frac{x+3}{-3}=\frac{y-5}{-1}=\frac{z+2}{5}$
(c) $\frac{x-3}{3}=\frac{y+5}{1}=\frac{z-2}{-5}$
(d) $\frac{x-3}{-3}=\frac{y+5}{-1}=\frac{z-2}{5}$ | 1 |
Is there school on Martin Luther King Jr Day? | 0 |
8. In the circuit shown here, the point $C$ is kept connected to point $A$ till the current flowing through the circuit becomes constant. Afterward, suddenly point $C$ is disconnected from point $A$ and connected to point $B$ at time $t=0$. Ratio of the voltage across resistance and the inductor at $t=L / R$ will be eq... | 1 |
88. $\int_{0}^{x}[\sin t] d t$, where $x \in(2 n \pi,(2 n+1) \pi), n \in N$ and [.] denotes the greatest integer function, is equal to
$$
\begin{array}{ll}
\text { a. }-n \pi & \text { h }-(n+1) \pi \\
\text { c. }-2 n \pi & \text { d }-(2 n+1) \pi
\end{array}
$$ | 1 |
Who trained under Bastian's ideas on culture? | 0 |
Which is the biggest music festival in the world? | 0 |
How do I approach pretty girls in subway or walking by the street? | 0 |
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