Question stringlengths 2 3k | label int64 0 1 |
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What is the difference between GDP (PPP) and GDP (nominal)? | 0 |
Passage
When a particle of mass $m$ moves on the $X$-axis in a potential of the form $V(x)=k x^{2}$, it performs simple harmonic motion. The corresponding time period is proportional to $\sqrt{m / k}$, as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its pot... | 1 |
28. Two identical capacitors, have the same capacitance $C$. One of them is charged to potential $V_{1}$ and the other to $V_{2}$. Likely charged plates are then connected. Then, the decrease in energy of the combined system is
(a) $\frac{1}{4} C\left(V_{1}^{2}-V_{2}^{2}\right)$
(b) $\frac{1}{4} C\left(V_{1}^{2}+V_{2}^... | 1 |
14. If $f(x)=\cos \left[\pi^{2}\right] x+\cos \left[-\pi^{2}\right] x$, where $[x]$ stands for the greatest integer function, then
$(1991,2 \mathrm{M})$
(a) $f(\pi / 2)=-1$
(b) $f(\pi)=1$
(c) $f(-\pi)=0$
(d) $f(\pi / 4)=1$ | 1 |
How do sacraments make us holy? | 0 |
How do I study without studying? | 0 |
17. The compound with no dipole moment is
(a) methyl chloride
(b) carbon tetrachloride
(c) methylene chloride
(d) chloroform | 1 |
The most common tools that neurophysiologists use are what? | 0 |
Why have I stopped dreaming? | 0 |
5. A particle oscillates simple harmonically with a period of $16 \mathrm{~s}$. Two second after crossing the equilibrium position its velocity becomes $1 \mathrm{~m} / \mathrm{s}$. The amplitude is
(a) $\frac{\pi}{4} \mathrm{~m}$
(b) $\frac{8 \sqrt{2}}{\pi} \mathrm{m}$
(c) $\frac{8}{\pi} \mathrm{m}$
(d) $\frac{4 \sqrt... | 1 |
4. On heating, lead (II) nitrate gives a brown gas (A). The gas (A) on cooling changes to a colourless solid/liquid (B). (B) on heating with
NO changes to a blue solid (C). The oxidation number of nitrogen in solid (C) is :
(a) +5
(b) +2
(c) +3
(d) +4 | 1 |
3. A sample of red ink (a colloidal suspension) is prepared by mixing eosin dye, egg white, HCHO and water. The component which ensures stabilitiy of the ink sample is :
(a) Egg white
(b) Water
(c) $\mathrm{HCHO}$
(d) Eosin dye | 1 |
1. If $\log _{\sqrt{3}}\left(\frac{|z|^{2}-|z|+1}{2+|z|}\right)>2$,
then locate the region in the Argand plane which represent $z$. | 1 |
Example 4.10 Differentiate $\sin ^{-1}\left(2 x \sqrt{1-x^{2}}\right)$ with respect to $x$, if
a. $-\frac{1}{\sqrt{2}}<x<\frac{1}{\sqrt{2}}$
b. $\frac{1}{\sqrt{2}}<x<1$
c. $-1<x<-\frac{1}{\sqrt{2}}$. | 1 |
Why does water drain out of my toilet bowl? How can I fix it? | 0 |
13. The $2000^{\text {th }}$ term of the sequence is not divisible by
a. 3
b. 9
c. 7
d. none of these | 1 |
Who was crowned the Empress of India? | 0 |
5. The equation of the common tangent touching the circle $(x-3)^{2}+y^{2}=9$ and the parabola $y^{2}=4 x$ above the $x$-axis is
a. $\sqrt{3} y=3 x+1$
b. $\sqrt{3} y=-(x+3)$
c. $\sqrt{2} y=x+3$
d. $\sqrt{3} y=-(3 x+1)$ | 1 |
24. A dilute aqueous solution of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ is electrolyzed using platinum electrodes. The products at the anode and cathode are:
(a) $\mathrm{O}_{2}, \mathrm{H}_{2}$
(b) $\mathrm{S}_{2} \mathrm{O}_{8}^{2-}, \mathrm{Na}$
(c) $\mathrm{O}_{2}, \mathrm{Na}$
(d) $\mathrm{S}_{2} \mathrm{O}_{8}^{2-... | 1 |
How do I get more followers on Instagram if I just started? | 0 |
5. If the function $f:[1, \infty) \rightarrow[1, \infty)$ is defined by $f(x)=2^{x(x-1)}$, then $f^{-1}(x)$ is
(1999, 2M)
(a) $\frac{1}{2}^{x(x-1)}$
(b) $\frac{1}{2}\left(1+\sqrt{1+4 \log _{2} x}\right)$
(c) $\frac{1}{2}\left(1-\sqrt{1+4 \log _{2} x}\right)$
(d) not defined | 1 |
6. The value of $\cos \frac{\pi}{2^{2}} \cdot \cos \frac{\pi}{2^{3}} \ldots \ldots \cos \frac{\pi}{2^{10}} \cdot \sin \frac{\pi}{2^{10}}$ is
(2019 Main, 10 Jan II)
(a) $\frac{1}{1024}$
(b) $\frac{1}{2}$
(c) $\frac{1}{512}$
(d) $\frac{1}{256}$ | 1 |
Is it safe to drink packaged milk without boiling it? | 0 |
In what region of the Deccan Plateau is Hyderabad? | 0 |
What policies are adopted by Apple for music player and PC? | 0 |
How do I grow beard completely? | 0 |
What use of technology can greatly supplement how teachers teach in the classroom? | 0 |
9. For the following cell,
$\mathrm{Zn}(\mathrm{s})\left|\mathrm{ZnSO}_{4}(\mathrm{aq}) \| \mathrm{CuSO}_{4}(\mathrm{aq})\right| \mathrm{Cu}(\mathrm{s})$
when the concentration of $\mathrm{Zn}^{2+}$ is 10 times the concentration of $\mathrm{Cu}^{2+}$, the expression for $\Delta G$ (in $\mathrm{J} \mathrm{mol}^{-1}$ )... | 1 |
What is your review of Nexus 5? | 0 |
How long is the pipeline from the Nagarjuna Sagar Dam which the HMWSSB operates? | 0 |
Example 1.61 : If $f: X \rightarrow[1, \infty)$ be a function defined as $f(x)=1+3 x^{3}$. Find the super set of all the sets $X$ such that $f(x)$ is one-one. | 1 |
What feature of the nationalism movement is unknown? | 0 |
Why is it called Encryption Round Key in AES, and not just Encryption Key? Why the emphasis on Round and is it only for particular modes of AES? | 0 |
Does masturbation reduce stamina? | 0 |
What Las Vegas casinos don't use continuous shuffling machines at their blackjack tables? | 0 |
How much storage does the human brain have? | 0 |
8. $\sum_{n=0}^{\infty} S_{n}$ is equal to
a. $\frac{1+e^{\pi}}{1-e^{-\pi}}$
b. $\frac{\frac{1}{2}\left(1+e^{\pi}\right)}{1-e^{-\pi}}$
c. $\frac{1}{2\left(1-e^{-\pi}\right)}$
d. None of these | 1 |
Should I go for the current version of CBR 250R (India)? | 0 |
21.
$\lambda^{21}$. If $f(x)=\int_{x^{2}}^{x^{2}+1} e^{-t^{2}} d t$, then $f(x)$ increases in
a. $(0,2)$
b. no value of $x$
c. $(0, \infty)$
d. $(-\infty, 0)$ | 1 |
Why are there Illuminati symbols on the dollar bill? | 0 |
76. Given that $(1+\sqrt{1+x}) \tan y=1+\sqrt{1-x}$. Then $\sin 4 y$ is equal to
a. $4 x$
b. $2 x$
c. $x$
d none of these | 1 |
 | 1 |
3. A length $L$ of wire carries a current $i$. Show that if the wire is formed into a circular coil, then the maximum torque in a given magnetic field is developed when the coil has one turn only, and that maximum torque has the magnitude $\tau=L^{2} i B / 4 \pi$. | 1 |
- 55 The space between two concentric conducting spherical shells of radii $b=1.70 \mathrm{~cm}$ and $a=1.20 \mathrm{~cm}$ is filled with a substance of dielectric constant $\kappa=23.5$. A potential difference $V=73.0 \mathrm{~V}$ is applied across the inner and outer shells. Determine (a) the capacitance of the devic... | 1 |
2. Water rises up in a glass capillary upto a height of $9.0 \mathrm{~cm}$, while mercury falls down by $3.4 \mathrm{~cm}$ in the same capillary. Assume angles of contact for water glass and mercury glass $0^{\circ}$ and $135^{\circ}$ respectively. Determine the ratio of surface tension of mercury and water $\left(\cos... | 1 |
Is it acceptable to run outside in only compression shorts? | 0 |
Will Pakistan and India unite one day? | 0 |
How can I recover my old mail from a Gmail account? | 0 |
5. A wire is stretched and fixed at two ends. Transverse stationary waves are formed in it. It oscillates in its third overtone mode. The equation of stationary wave is
$$
y=A \sin k x \cos \omega t
$$
Choose the correct options.
(a) Amplitude of constituent waves is $\frac{A}{2}$
(b) The wire oscillates in three loo... | 1 |
What is the best technical university? | 0 |
How many Tamil dynasties ruled during the Sangam period? | 0 |
If I want do learn "speedcubing", where do I start? | 0 |
9. A block of mass $m$ is on an inclined plane of angle $\theta$. The coefficient of friction between the block and the plane is $\mu$ and $\tan \theta>\mu$. The block is held stationary by applying a force $P$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $P$ is varied... | 1 |
Along with anger, pride and happiness, what is an example of an emotional label? | 0 |
What was Olympic Airways known as after 2003? | 0 |
How can I improve my health as I'm very thin? | 0 |
20. A gas can expand through two processes : (i) isobaric, (ii) $\frac{p}{V}=$ constant. Assuming that the initial volume is same in both processes and the final volume which is two times the initial volume is also same in both processes, which of the following is true?
(a) Work done by gas in process (i) is greater t... | 1 |
Why is it important to keep a good profile picture? | 0 |
(i)
 | 1 |
118. A fair die is thrown 20 times. The probability that on the $10^{\text {1t }}$ throw, the fourth six appears is
a. ${ }^{20} C_{10} \times 5^{6} / 6^{20}$
b. $120 \times 5^{7} / 6^{10}$
c. $84 \times 5^{6} / 6^{10}$
d. none of these | 1 |
20. When zeolite, which is hydrated sodium aluminium silicate, is treated with hard water the sodium ions are exchanged with
(a) $\mathrm{H}^{+}$ions
(b) $\mathrm{Ca}^{++}$ions
(c) $\mathrm{SO}_4^{--}$ions
(d) $\mathrm{Mg}^{++}$ions
(e) $\mathrm{OH}^{-}$ions | 1 |
How many people don't use Facebook? | 0 |
Which is the best number of betting tips for a month to be profitable? | 0 |
6. Which cyclization(s) should occur with a decrease in pi-electron energy?
(I) $\mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}=\mathrm{CH}_{2} \longrightarrow \square+\mathrm{H}_{2}$
(II)
(III)... | 1 |
6. If the coefficients of $r^{\text {th }}$ and $(r+1)^{111}$ terms in the expansion of $(3+7 x)^{29}$ are equal, then $r$ equals
a. 15
b. 21
c. 14
d. none of these | 1 |
What is a good nickname for the first name Ellis? | 0 |
14. The energy of a photon is equal to the kinetic energy of a proton. The energy of the photon is $E$. Let $\lambda_{1}$ be the de-Broglie wavelength of the proton and $\lambda_{2}$ be the wavelength of the photon. The ratio $\frac{\lambda_{1}}{\lambda_{2}}$ is proportional to
(a) $E^{0}$
(b) $E^{1 / 2}$
(c) $E^{... | 1 |
What is the difference between inertial mass and gravitational mass? | 0 |
Example 2.24 Find the greatest distance of the point
$P(10,7)$ from the circle $x^{2}+y^{2}-4 x-2 y-20=0$. | 1 |
88. If the normal to a parabola $y^{2}=4 a x$ at $P$ meets the curve again in $Q$ and if $P Q$ and the normal at $Q$ makes angle $\alpha$ and $\beta$, respectively, with the $x$-axis then $\tan \alpha(\tan \alpha$ $+\tan \beta$ ) has the value equal to
a. 0
b. -2
c. $-\frac{1}{2}$
d. -1 | 1 |
29. A block of mass $10 \mathrm{~kg}$ is released on a fixed wedge inside a cart which is moving with constant velocity $10 \mathrm{~ms}^{-1}$ towards right. There is no relative motion between block and cart. Then work done by normal reaction on block in two seconds from ground frame will be ( $g=10 \mathrm{~ms}^{-2}$... | 1 |
42. The statement $(p \rightarrow q) \rightarrow[(\sim p \rightarrow q) \rightarrow q]$ is (2017 Main)
(a) a tautology
(b) equivalent to $\sim p \rightarrow q$
(c) equivalent to $p \rightarrow \sim q$
(d) a fallacy | 1 |
I turned 21 today, what suggestions would you like to give me for my future? | 0 |
6. If $\mathrm{x}$ gram of gas is adsorbed by $\mathrm{m}$ gram of adsorbent at pressure $\mathrm{P}$, the plot of $\log \frac{\mathrm{x}}{\mathrm{m}}$ versus $\log \mathrm{P}$ is linear. The slope of the plot is: ( $\mathrm{n}$ and $\mathrm{k}$ are constants and $n>1)$
(a) $\log \mathrm{k}$
(b) $\frac{1}{n}$
(c) ... | 1 |
Does the Aadhar card number change after it has been updated? | 0 |
Which country besides Britain claims Gibraltar? | 0 |
Example 2.41 If $\left|z_{1}\right|=1,\left|z_{2}\right|=2,\left|z_{3}\right|=3$ and $\mid 9 z_{1} z_{2}+4 z_{1} z_{3}$ $+z_{2} z_{3} \mid=12$, then find the value of $\left|z_{1}+z_{2}+z_{3}\right|$. | 1 |
What do neurophysiologists study? | 0 |
It is considered political when it involves what kind of money? | 0 |
Was John Wick's motive for killing totally ridiculous? | 0 |
23. Locus of the point which divides double ordinates of the e1lipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ in the ratio $1: 2$ internally is
a. $\frac{x^{2}}{a^{2}}+\frac{9 y^{2}}{b^{2}}=1$
b. $\frac{x^{2}}{a^{2}}+\frac{9 y^{2}}{b^{2}}=\frac{1}{9}$
c. $\frac{9 x^{2}}{a^{2}}+\frac{9 y^{2}}{b^{2}}=1$
d. none of the... | 1 |
16. A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the $90^{\circ}$ vertex is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the loop. The hypotenuse of the triangle is parallel to the wire. The current in... | 1 |
What is Best book for cloud computing? | 0 |
5. The magnitude of the electric field as a function of the distance $r$ outside the ball is given by
(a) $E=\frac{\rho_{0} R^{3}}{8 \varepsilon r^{2}}$
(b) $E=\frac{\rho_{0} R^{3}}{12 \varepsilon r^{2}}$
(c) $E=\frac{\rho_{0} R^{2}}{8 \varepsilon r^{3}}$
(d) $E=\frac{\rho_{0} R^{2}}{12 \varepsilon r^{3}}$ | 1 |
Is studying calculus from Khan Academy enough for a 5.0 in AP Calculus AB? | 0 |
Ex. 7. Calculate the number of milliequivalents, gram eq., weight in grams and number of moles contained in 10 litres of $0.5 \mathrm{M} \mathrm{Ba}(\mathrm{OH})_{2}$ solution. $(\mathrm{Ba}=137)$
Solution : Normality of $\mathrm{Ba}(\mathrm{OH})_{2}$ solution $=$ molarity $\times$ acidity
$$
\begin{equation*}
=0.5 \... | 1 |
Do textual critics always include additions found in the majority of subsequent versions of a work? | 0 |
How do the olfactory lobes of mammals compare in size to those of reptiles? | 0 |
28. Which of the following equations is correct?
(a) Cond. $=$ sp. cond. $\times$ cell constant
(b) Eq. cond. $=$ sp. cond. $\times$ cell constant
(c) Cond. $=$ eq. cond. $\times$ cell constant
(d) Cell constant $=$ sp. cond./cond. | 1 |
Example 3.12 A right-angled triangle $A B C$ is inscribed in parabola $y^{2}=4 x$, where $A$ is vertex of parabola and $\angle B A C$ $=\pi / 2$. If $A B=\sqrt{5}$, then find the area of $\triangle A B C$. | 1 |
(vi) 2-Ethoxy-3-methylpentane | 1 |
From what year was Greece's levels of GDP growth above the Eurozone average? | 0 |
3. During a beta decay,
(a) an atomic electron is ejected
(b) an electron present inside the nucleus is ejected
(c) a neutron in the nucleus decays emitting an electron
(d) a part of the binding energy is converted into electron | 1 |
8. For every pair of continuous function $f, g:[0,1] \rightarrow R$ such that $\max \{f(x): x \in[0,1]\}=\max \{g(x): x \in[0,1]\}$. The correct statement(s) is (are)
(2014 Adv.)
(a) $[f(c)]^{2}+3 f(c)=[g(c)]^{2}+3 g(c)$ for some $c \in[0,1]$
(b) $[f(c)]^{2}+f(c)=[g(c)]^{2}+3 g(c)$ for some $c \in[0,1]$
(c) $[f(c)]... | 1 |
Who founded the Kamdamba dynasty? | 0 |
16. The average velocity of an ideal gas molecule at $27^{\circ} \mathrm{C}$ is $0.3 \mathrm{~m} / \mathrm{sec}$. The average velocity at $927^{\circ} \mathrm{C}$ will be:
(a) $0.6 \mathrm{~m} / \mathrm{sec}$
(b) $0.3 \mathrm{~m} / \mathrm{sec}$
(c) $0.9 \mathrm{~m} / \mathrm{sec}$
(d) $3.0 \mathrm{~m} / \mathrm{... | 1 |
Ex. 9. Calculate enthalpy of formation of ethane at $25^{\circ} \mathrm{C}$ if the enthalpies of combustion of carbon, hydrogen and ethane are $94 \cdot 14,68.47$ and 373.3 kcal respectively. | 1 |
25. Which all of the following is/are false about $P_{n}=\left|A_{1} A_{2}\right|\left|A_{1} A_{3}\right| \ldots . .\left|A_{1} A_{n}\right|$,
(a) Is independent of ' $n$ '
(b) $S_{n}$ can never be a prime
(c) $S_{12}>20$
(d) $S_{n}^{n}$ can never be a perfect square | 1 |
20. An equilateral triangular plate of mass $4 m$ of side $a$ is kept as shown. Consider two cases: (i) a point mass $4 m$ is placed at the vertex $P$ of the plate (ii) a point mass $m$ is placed at the vertex $R$ of the plate. In both cases the $x$-coordinate of centre of mass remains the same. Then $x$ coordinate of ... | 1 |
How do girls feel if they are touched by boobs? | 0 |
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