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20.  | 1 |
22. In thermodynamics, a process is called reversible when
(a) surroundings and system change into each other.
(b) there is no boundary between system and surroundings.
(c) the surroundings are always in equilibrium with the system.
(d) the system changes into the surroundings spontaneously. | 1 |
Antidepressants typically affect what chemical of the brain? | 0 |
24. A compound $(\mathrm{X})$ containing $\mathrm{C}, \mathrm{H}$ and $\mathrm{O}$ is unreactive towards sodium. It does not add bromine. It also does not react with Schiff's reagent. On refluxing with an excess of hydriodic acid, (X) yields only one organic product (Y). On hydrolysis, (Y) yields a new compound (Z) whi... | 1 |
Will President Obama pardon Edward Snowden? | 0 |
What system of the body is related to emotion's physiology? | 0 |
5. Let $f$ be a function defined on $[0,2]$, then the domain of function $g(x)=f\left(9 x^{2}-1\right)$. | 1 |
5. The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is:
(a) $\mathrm{Ag}$
(b) $\mathrm{Ca}$
(c) $\mathrm{Cu}$
(d) $\mathrm{Cr}$ | 1 |
I am considering moving to Bangalore. Which is a good locality to shift inside a 5-8 kilometer radius from ISKCON temple Bangalore? | 0 |
What did Indians finally begin to demand? | 0 |
How can I reset my Moto G and restore my contacts with pictures of contact people? | 0 |
Was Mahavir Singh Phogat locked in store room as depicted in the movie Dangal? | 0 |
13. For the situation shown in figure, mark the correct options.
(a) Angle of friction is $\tan ^{-1}(\mu)$
(b) Angle of repose is $\tan ^{-1}(\mu)$
(c) At $\theta=\tan ^{-1}(\mu)$, minimum force will be required to move the block
(a)
(b)
 $\frac{1}{4}$
(b) $\frac{1}{2}$
(c) 1
(d) 2 | 1 |
What percentage of plant and animal species extinction is predicted in the 21st century? | 0 |
7. The centre of circle inscribed in square formed by the lines $x^{2}-8 x+12=0$ and $y^{2}-14 y+45=0$, is
(a) $(4,7)$
(b) $(7,4)$
(c) $(9,4)$
(d) $(4,9)$ | 1 |
7. If $z_{1}$ and $z_{2}$ be complex numbers such that $z_{1} \neq z_{2}$ and $\left|z_{1}\right|=\left|z_{2}\right|$. If $z_{1}$ has positive real part and $z_{2}$ has negative imaginary part, then $\left[\left(z_{1}+z_{2}\right) /\left(z_{1}-z_{2}\right)\right]$ may be
a. Purely imaginary
b. Real and positive
c. Rea... | 1 |
From whom did the rulers of the Merovingian dynasty trace their ancestry? | 0 |
How root mean square speed related to measure average kinetic energy and why? | 0 |
Which are the best IAS coaching institutes in Mumbai? | 0 |
Illegal interference with an election is called what? | 0 |
Is what we perceive, the world? | 0 |
How do you play 1080p HD videos on a PC? | 0 |
How did the mendicant orders make a living? | 0 |
24. If $n$ is a natural number $\geq 2$, such that $z^{n}=(z+1)^{n}$, then a. roots of equation lie on a straight line parallel to $y$-axis
b. roots of equation lie on a straight line parallel to $x$-axis
c. sum of the real parts of the roots is $-[(n-1) / 2]$
d. none of these | 1 |
What Islamic dynasty followed the Umayyad? | 0 |
28. If the value of Avogadro number is $6.023 \times 10^{23} \mathrm{~mol}^{-1}$ and the value of Boltzmann constant is $1.380 \times 10^{-23} \mathrm{~J} \mathrm{~K}^{-1}$, then the number of significant digits in the calculated value of the universal gas constant is | 1 |
24. Two parallel chords of a circle of radius 2 are at a distance $\sqrt{3}+1$ apart. If the chords subtend at the centre, angles of $\pi / k$ and $\frac{2 \pi}{k}$, where $k>0$, then the value of $[k]$ is......
NOTE $[k]$ denotes the largest integer less than or equal to $k$ ] | 1 |
4. For a travelling wave, match the following two columns.
| Column I | Column II |
| :--- | :--- |
| (a) energy density | (p) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3}\right]$ |
| (b) power | (q) $\frac{1}{2} \rho \omega^{2} A^{2} S v$ |
| (c) intensity | (r) $\left[\mathrm{M}^{0} \mathrm{~L}^{-1} \mathrm{~T}\right]$ |... | 1 |
Astrologers: can you compare these charts in terms of intelligence? | 0 |
What are some good romantic novels? | 0 |
What type of snack is Rajasthan known for? | 0 |
12.11 An organic compound (A) (molecular formula $\mathrm{C}_{8} \mathrm{H}_{16} \mathrm{O}_{2}$ ) was hydrolysed with dilute sulphuric acid to give a carboxylic acid (B) and an alcohol (C). Oxidation of (C) with chromic acid produced (B). (C) on dehydration gives but-1-ene. Write equations for the reactions involved. | 1 |
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 |
Can you see who views your Instagram? | 0 |
What are the best blogs about databases? | 0 |
Is sodium nitrate an acid or a base? | 0 |
9. If $x=3 \tan t$ and $y=3 \sec t$, then the value of $\frac{d^{2} y}{d x^{2}}$ at $t=\frac{\pi}{4}$, is
(a) $\frac{1}{6}$
(b) $\frac{1}{6 \sqrt{2}}$
(c) $\frac{1}{3 \sqrt{2}}$
(d) $\frac{3}{2 \sqrt{2}}$
(2019 Main, 9 Jan II) | 1 |
37. The probability that a family contains exactly $k$ boys is (where $k \geq 1$ )
a. $\alpha p^{k}(1-p)^{-k-1}$
b. $2 \alpha p^{k}(2-p)^{k-1}$
c. $2 \alpha p^{k}(2-p)^{-k}$
d. $2 \alpha p^{k-1}(2-p)^{-k-1}$ | 1 |
Should I join Tech Mahindra as a fresher? | 0 |
How can I go America? | 0 |
Can you delete someones post on your timeline on Facebook? | 0 |
71. Let $f(x)=\int_{2}^{x} \frac{d t}{\sqrt{1+t^{4}}}$ and $g$ be the inverse of $f$. Then the value of $g^{\prime}(0)$ is
a. 1
b. 17
c. $\sqrt{17}$
d. None of these | 1 |
13. Close packing is maximum in the crystal which is a
(a) simple cube
(b) face-centred cube
(c) body-centred cube
(d) primitive cube | 1 |
What is Paula Marshall's main role in "Seinfeld"? | 0 |
47. Match the following if the molecular weights of $X, Y$ and $Z$ are same.
| | Boiling Point | $\boldsymbol{K}_{\boldsymbol{b}}$ |
| :---: | :--- | :--- |
| $X$ | 100 | 0.63 |
| $Y$ | 27 | 0.53 |
| $Z$ | 253 | 0.98 | | 1 |
9. Light of wavelength $\lambda_{\mathrm{ph}}$ falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is $\phi$ and the anode is a wire mesh of conducting material kept at a distance $d$ from the cathode. A potential difference $V$ is maintained between the electr... | 1 |
55. An isotone of ${ }_{32}^{76} \mathrm{Ge}$ is :
(a) ${ }_{32}^{77} \mathrm{Ge}$
(b) ${ }_{33}^{77} \mathrm{As}$
(c) ${ }_{34}^{77} \mathrm{Se}$
(d) ${ }_{34}^{78} \mathrm{Se}$ | 1 |
27. Column-I gives some electrical circuits, with points $A$ and $B$ indicated in the circuit. Column-II gives possible values of potential difference between the points $V_{A}-V_{B}$ and $V_{B}-V_{C}$. Match appropriately.
| Column - I | Column - II |
| :---: | :---: |
| A. Current I in branch BD does not change, eve... | 1 |
When is the term comics considered singular rather than plural? | 0 |
46. Radioactive isotopes are produced in a nuclear physics experiment at a constant rate $d N / d t=R$. An inductor of inductance $100 \mathrm{mH}$, a resistor of resistance $100 \Omega$ and a battery are connected to form a series circuit. The circuit is switched on at the instant the production of radioactive isotope... | 1 |
5. The rms value of an alternating current
(a) is equal to 0.707 times peak value
(b) is equal to 0.636 times peak value
(c) is equal to $\sqrt{2}$ times the peak value
(d) None of the above | 1 |
2. A particle of mass $m$ is executing oscillations about the origin on the $x$-axis. Its potential energy is $U(x)=k[x]^{3}$, where $k$ is a positive constant. If the amplitude of oscillation is $a$, then its time period $T$ is
(a) proportional to $\frac{1}{\sqrt{a}}$
(b) independent of $a$
(c) proportional to $\sq... | 1 |
What does it mean when some people draw a wavy line with two lines in the middle on an envelope? | 0 |
2 Water from a tap emerges vertically downwards with an initial speed of $1.0 \mathrm{~ms}^{-1}$. The cross-sectional area of the tap is $10^{-4} \mathrm{~m}^{2}$. Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross-sectional area of the stream, $0.15 \mathrm{... | 1 |
11. Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of $4.29 \AA$. The radius of sodium atom is approximately :
[Main 2015]
(a) $5.72 \AA$
(b) $0.93 \AA$
(c) $1.86 \AA$
(d) $3.22 \AA$ | 1 |
88. In a $\triangle A B C, \angle B=90^{\circ}$ and $b+a=4$. The area of the triangle is maximum when $\angle C$ is
a. $\pi / 4$
b. $\pi / 6$
c. $\pi / 3$
d. None of these | 1 |
Why India has few medals in the olympic table when compared to chinese and rest of the world in terms of their population? | 0 |
6. A current of $2 \mathrm{~mA}$ was passed through an unknown resistor which dissipated a power of $4.4 \mathrm{~W}$. Dissipated power when an ideal power supply of $11 \mathrm{~V}$ is connected across it is
(a) $11 \times 10^{-4} \mathrm{~W}$
(b) $11 \times 10^{-5} \mathrm{~W}$
(c) $11 \times 10^{5} \mathrm{~W}$
(d) ... | 1 |
Why do we love to Crib? | 0 |
(iii) the temperature of 10 million kelvin (the typical core temperature in the case of a star). | 1 |
"In a state of nature" was divided into two groups, what where they? | 0 |
20. If $L(m, n)=\int_{0}^{1} t^{m}(1+t)^{n} d t$, then the expression for $L(m, n)$ in terms of $(m+1, n-1)$ is $(m, n \in N)$
a. $\frac{2^{n}}{m+1}-\frac{n}{m+1} L(m+1, n-1)$
b. $\frac{n}{m+1} L(m+1, n-1)$
c. $\frac{2^{n}}{m+1}+\frac{n}{m+1} L(m+1, n-1)$
d. $\frac{m}{n+1} L(m+1, n-1)$ | 1 |
5. If $0<P(A)<1,0<P(B)<1$ and $P(A \cup B)=P(A)$ $+P(B)-P(A) P(B)$, then
(1995, 2M)
(a) $P(B / A)=P(B)-P(A)$
(b) $P\left(A^{\prime}-B^{\prime}\right)=P\left(A^{\prime}\right)-P\left(B^{\prime}\right)$
(c) $P(A \cup B)^{\prime}=P(A)^{\prime} P(B)$
(d) $P(A / B)=P(A)-P(B)$ | 1 |
2. Let $z_{1}$ and $z_{2}$ be complex numbers such that $z_{1} \neq z_{2}$ and $\left|z_{1}\right|$ $=\left|z_{2}\right|$. If $z_{1}$ has positive real part and $z_{2}$ has negative imaginary part, then $\left(z_{1}+z_{2}\right) /\left(z_{1}-z_{2}\right)$ may be
a. zero
b. real and positive
c. real and negative
d. pure... | 1 |
28. An ideal monoatomic gas is taken round the cycle $A B C D A$ as shown in the $p$ - $V$ diagram (see figure). The work done during the cycle is
(a) $p V$
(b) $2 p V$
(c) $\frac{1}{2} p V$
(d) zero | 1 |
In what circumstances central banks can print money? | 0 |
132. If the pairs of lines $x^{2}+2 x y+a y^{2}=0$ and $a x^{2}+2 x y$ $+y^{2}=0$ have exactly one line in common, then the joint equation of the other two lines is given by
a. $3 x^{2}+8 x y-3 y^{2}=0$
b. $3 x^{2}+10 x y+3 y^{2}=0$
c. $y^{2}+2 x y-3 x^{2}=0$
d. $x^{2}+2 x y-3 y^{2}=0$ | 1 |
What position was Ben Franklin appointed in 1776? | 0 |
(b) in a long time. | 1 |
3.92. A small conducting ball carrying a charge $q$ is located in a uniform isotropic dielectric with permittivity $\varepsilon$ at a distance $l$ from an infinite boundary plane between the dielectric and vacuum. Find the surface density of the bound charges on the boundary plane as a function of distance $r$ from the... | 1 |
Is there a way to make crunchy pancakes? | 0 |
What is the equation for photosynthesis? How is this determined? | 0 |
58 The mirrors in the laser of Fig. 40-20, which are separated by 8.0 cm , form an optical cavity in which standing waves of laser light can be set up. Each standing wave has an integral number $n$ of half wavelengths in the 8.0 cm length, where $n$ is large and the waves differ slightly in wavelength. Near $\lambda=53... | 1 |
In what year did the Carolingians take over Neustria? | 0 |
How do I deal with an adult child in a wheelchair? He gets upset when I leave the house. There are 2 other adult siblings and a housekeeper. His mind is 90% perfect. What are some suggestions? | 0 |
24. A spring balance reads $10 \mathrm{~kg}$ when a bucket of water is suspended from it. What will be the reading of the balance when an iron piece of mass $7.2 \mathrm{~kg}$ suspended by a string is immersed with half its volume inside the water in the bucket? Relative density of iron is 7.2.
(a) $10 \mathrm{~kg}$
... | 1 |
How much time do I need to learn JavaScript? | 0 |
12. $4 \mathrm{~g}$ hydrogen is mixed with 11.2 litre of He at STP in a container of volume 20 litre. If the final temperature is $300 \mathrm{~K}$, find the pressure. | 1 |
What did the Prussian and German victory mark? | 0 |
27. The first derivative of the function $\left[\cos ^{-1}\left(\sin \sqrt{\frac{1+x}{2}}\right)+x^{x}\right]$ with respect to $x$ at $x=1$ is
a. $3 / 4$
b. 0
c. $1 / 2$
d. $-1 / 2$ | 1 |
What do factions within nonpartisan systems evolve into? | 0 |
Do Uber drivers still get paid when riders have free Uber credits? | 0 |
What do world religions say about intellectual property? | 0 |
The First Opium War led to Britain seizing what island? | 0 |
Can India ever be a safe place for women? | 0 |
21. In a transformer, the output current and voltage are respectively $4 \mathrm{~A}$ and $20 \mathrm{~V}$. If the ratio of number of turns in the primary to secondary is $2: 1$, what is the input current and voltage?
(a) $2 \mathrm{~A}$ and $40 \mathrm{~V}$
(b) $8 \mathrm{~A}$ and $10 \mathrm{~V}$
(c) $4 \mathrm{~A}$ ... | 1 |
What was EU average amount of energy from renewable sources in 2008? | 0 |
What part of the government controls the judiciary budget in many developing countries? | 0 |
101. $\int_{0}^{x}|\sin t| d t$, where $x \in(2 n \pi,(2 n+1) \pi)$, where $n \in N$, js equal to
a. $4 n-\cos x$
b. $4 n-\sin x$
c. $4 n+1-\cos x$
d. $4 n-1-\cos x$ | 1 |
Campaign spending and what fell after the Post stopped publishing? | 0 |
19. Phenol reacts with bromine in carbon disulphide at low temperature to give
(a) $m$-bromophenol
(b) $o$ - and $p$-bromophenol
(c) $p$-bromophenol
(d) 2, 4, 6-tribromophenol | 1 |
17. Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $v$ and $2 v$ respectively, as shown in the figure. Between collisions, the
$... | 1 |
9. A piece of wood of mass $0.03 \mathrm{~kg}$ is dropped from the top of a $100 \mathrm{~m}$ height building. At the same time, a bullet of mass $0.02 \mathrm{~kg}$ is fired vertically upward with a velocity $100 \mathrm{~ms}^{-1}$ from the ground. The bullet gets embedded in the wood.
Then, the maximum height to whic... | 1 |
Example 12 In the problem discussed in the text, find $E$-r expressions for inside and outside points. | 1 |
2. Let $\mathbf{a}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, \quad \mathbf{b}=\hat{\mathbf{i}}+\lambda \hat{\mathbf{j}}+4 \hat{\mathbf{k}} \quad$ and $\mathbf{c}=2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+\left(\lambda^{2}-1\right) \hat{\mathbf{k}}$ be coplanar vectors. Then, the non-zero vector $\mathbf{a} \t... | 1 |
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