Question stringlengths 2 3k | label int64 0 1 |
|---|---|
If you were to have a superpower, what would you like it to be? | 0 |
2. Two cells of emf $E_{1}=6 \mathrm{~V}$ and $E_{2}=5 \mathrm{~V}$ are joined in parallel with same polarity on same side, without any external load. If their internal resistances are $r_{1}=2 \Omega$ and $r_{2}=3 \Omega$ respectively, then
(a) terminal potential difference across any cell is less than $5 \mathrm{~V}... | 1 |
12. The distance between an object and its upright image is $20 \mathrm{~cm}$. If the magnification is 0.5 , what is the focal length of the lens that is being used to form the image? | 1 |
What should I learn first: HTML, CSS and JavaScript or Python and PHP? | 0 |
9. Points $A, B$ and $C$ lie on the parabola $y^{2}=4 a x$. The tangents to the parabola at $A, B$ and $C$, taken in pairs, intersect at points $P, Q$ and $R$. Determine the ratio of the areas of the triangles $A B C$ and $P Q R$. | 1 |
Why does YouTube sound quiet on my Android phone? | 0 |
If you came across a genie who offered to make one of your wishes come true, what would that be? | 0 |
1. For real $x$, then function $(x-a)(x-b) /(x-c)$ will assume all real values provided
a. $a>b>c$
b. $a<b<c$
c. $a>c>b$
d. $a<c<b$
(IIT-JEE, 1984) | 1 |
11. In which of the following process, convection does not take place primarily?
(a) Sea and land breeze
(b) Boiling of water
(c) Warming of glass of bulb due to filament
(d) Heating air around a furnace | 1 |
How do I recover a forgotten password on a laptop? | 0 |
123. Consider $f(x)=x^{3}+a x^{2}+b x+c$. Parameters $a, b, c$ are chosen, respectively, by throwing a die three times. Then the probability that $f(x)$ is an increasing function is
a. $5 / 36$
b. $8 / 36$
c. $4 / 9$
d. $1 / 3$ | 1 |
How can I relax my hair? | 0 |
3. A thin disc of mass $M$ and radius $R$ has mass per unit area $\sigma(r)=k r^{2}$, where $r$ is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is
(a) $\frac{M R^{2}}{2}$
(b) $\frac{M R^{2}}{6}$
(c) $\frac{M R^{2}}{3}$
(d) $\frac{2 M... | 1 |
1. In a $R-L-C$ series circuit shown, the readings of voltmeters $V_{1}$ and $V_{2}$ are $100 \mathrm{~V}$ and $120 \mathrm{~V}$. Choose the correct statement(s).
(a) Voltage across resisto... | 1 |
14. Which of the following statement is (are) correct in the given figure?
$$
\text { Infinitely long wire kept }
$$
perpendicular to the paper
carrying current inwards
(a) Net force... | 1 |
4. Ten persons numbered $1,2, \ldots, 10$ play a chess tournament, each player playing against every other player exactly one game. It is known that no game ends in a draw. If $w_{1}, w_{2}, \ldots, w_{10}$ are the number of games won by players $1,2,3, \ldots, 10$, respectively, and
$l_{1}, l_{2}, \ldots, l_{10}$ are ... | 1 |
35 ILW A coil of inductance 88 mH and unknown resistance and a $0.94 \mu \mathrm{F}$ capacitor are connected in series with an alternating emf of frequency 930 Hz . If the phase constant between the applied voltage and the current is $75^{\circ}$, what is the resistance of the coil? | 1 |
Why does Quora mark some questions as needing improvement faster than a human can read them? | 0 |
72. A basic, volatile nitrogen compound gave a foul smelling gas when treated with chloroform and alcoholic potash. A $0.295 \mathrm{~g}$ sample of the substance. dissolved in aq. $\mathrm{HCl}$ and treated with $\mathrm{NaNO}_{2}$ solution at $0^{\circ} \mathrm{C}$, liberated a colorless, odourless gas whose volume co... | 1 |
3. Which of the following will have largest heat of combustion?
(I)
=c \tan ^{-1} \frac{y}{x}, c$ is a constant, is
a. independent of $x$
h. independent of $y$
c. independent of $x$ but dependent on $y$
d. independent of $y$ but ... | 1 |
What is conflict resolution? | 0 |
4. If $|\vec{a}+\vec{b}|<|\vec{a}-\vec{b}|$, then the angle between $\vec{a}$ and $\vec{b}$ can lie in the interval
a. $(-\pi / 2, \pi / 2)$
b. $(0, \pi)$
c. $(\pi / 2,3 \pi / 2)$
d. $(0,2 \pi)$ | 1 |
59. Distinguish between acid strength and acid concentration.
(Read text) | 1 |
2. The maximum height reached by ball, as measured from the ground would be
(a) $73.65 \mathrm{~m}$
(b) $116.25 \mathrm{~m}$
(c) $82.56 \mathrm{~m}$
(d) $63.25 \mathrm{~m}$ | 1 |
How much Benadryl can you give your dog? | 0 |
How many coffee beans are in an Espresso shot? | 0 |
26. $\sin \frac{9 \pi}{14} \cdot \sin \frac{11 \pi}{14} \sin \frac{13 \pi}{14}=$
(a) $\frac{1}{64}$
(b) $-\frac{1}{64}$
(c) $\frac{1}{8}$
(d) $-\frac{1}{8}$ | 1 |
9. How many grams are contained in 1 gram-atom of Na ?
(a) 13 g
(b) 23 g
(c) 1 g
(d) $\frac{1}{23} \mathrm{~g}$ | 1 |
Ex. 10. In which mode of expression, the concentration of solution remains independent of temperature?
(a) Molarity
(b) Normality
(c) Formality
(d) Molality
(IIT 1988) | 1 |
8. If $\overrightarrow{\mathbf{a}}$ and $\overrightarrow{\mathbf{b}}$ are vectors such that $|\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}|=\sqrt{29}$ and $\overrightarrow{\mathbf{a}} \times(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})=(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}) \... | 1 |
11. A person pulls a bucket of water from a well of depth $h$. If the mass of uniform rope is $m$ and that of the bucket full of water is $M$, then work done by the person is
(a) $M+\frac{m}{2} g h$
(b) $\frac{1}{2}(M+m) g h$
(c) $(M+m) g h$
(d) $\frac{M}{2}+m g h$ | 1 |
In deism is God represented in human form? | 0 |
How is the procurement of rice undertaken under the levy system? | 0 |
Ex. 22. A certain hydrocarbon (A) was found to contain $85.7 \%$ of C and $14.3 \%$ of H . This compound consumes 1 molar equivalent of hydrogen to give a saturated hydrocarbon (B). 1 g of hydrocarbon (A) just decolourised 38.05 g of a $5 \%$ solution (by weight) of $\mathrm{Br}_{2}$ in $\mathrm{CCl}_{4}$. Compound (A)... | 1 |
What should I do to travel to other EU countries if I have D-type Schengen visa? | 0 |
What acts cover tort damages from police brutality cases? | 0 |
14. The greatest value of $\sin ^{4} \theta+\cos ^{4} \theta$ is
a. $1 / 2$
h. 1
c. 2
d 3 | 1 |
What are the profit margins in the college textbook industry? | 0 |
Along with sensory and motor information, what information had to pass through the diencephalon before being processed? | 0 |
7. Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is: (Atomic wt. of $\mathrm{Cl}=35.5 \mathrm{u})$
[Main Online April 16, 2018]
(a) 1.46
(b) 1.64
(c) 0.46
(d) 0.64 | 1 |
What exactly is hard work? | 0 |
89. If $(1-x)^{-n}=a_{0}+a_{1} x+a_{2} x^{2}+\cdots+a_{1} x^{\prime}+\cdots$, then $a_{0}+a_{1}+a_{2}+\cdots+a_{r}$ is equal to
a. $\frac{n(n+1)(n+2) \cdots(n+r)}{r!}$
b. $\frac{(n+1)(n+2) \cdots(n+r)}{r!}$
c. $\frac{n(n+1)(n+2) \cdots(n+r-1)}{r!}$
d. none of these | 1 |
1. $\lim _{x \rightarrow 0^{+}} x^{x}$ | 1 |
Is the ban on NDTV justified? Is this an intrusion in freedom of speech? | 0 |
70. Two identical tuning forks vibrating at the same frequency $256 \mathrm{~Hz}$ are kept fixed at some distance apart. A listener runs between the forks at a speed of $3.0 \mathrm{~m} / \mathrm{s}$ so that he approaches one tuning fork and recedes from the other (figure 16-E10). Find the beat frequency observed by th... | 1 |
What are your three wishes for the genie lamp? | 0 |
Who eventually defeated the Arabs at Rajasthan? | 0 |
16. A particle is kept at rest at a distance $R$ (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is
(a) $\sqrt{\frac{G M}{4 R}}$
(b) $\sqrt{\frac{G M}{2 R}}$
(c) $\sqrt{\frac{G M}{R}}$
(d) $\sqrt{\frac{2 G M}{R}}$. | 1 |
Can you describe an incident that changed your life? | 0 |
With what religion did the Ahom merge? | 0 |
4. The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be
(a) $0^{\circ}$
(b) $30^{\circ}$
(c)... | 1 |
3. A body of weight $27 \mathrm{~N}$ hangs on a long spring of such stiffness that an extra force of $9 \mathrm{~N}$ stretches the spring by $0.05 \mathrm{~m}$. If the body is pulled downward and released, what is the period? | 1 |
Ex. 50. A mole of a monoatomic ideal gas at 1 atm and 273 K is allowed to expand adiabatically against a constant pressure of 0.395 bar until equilibrium is reached. | 1 |
What did the Programme of Action issue? | 0 |
How do I improve tennis skills? | 0 |
28. A particle is executing SHM according to the equation $x=A \cos \omega t$. Average speed of the particle during the interval $0 \leq t \leq \frac{\pi}{6 \omega}$ is
(a) $\frac{\sqrt{3} A \omega}{2}$
(b) $\frac{\sqrt{3} A \omega}{4}$
(c) $\frac{3 A \omega}{\pi}$
(d) $\frac{3 A \omega}{\pi}(2-\sqrt{3})$ | 1 |
54. Examine the following two structures for the anilinium ion and choose the correct statement from the ones given below:
(a) II is not an acceptable canonical structure because carbon... | 1 |
39. Which of the following is equal to $\sqrt[3]{-1}$ ?
a. $\frac{\sqrt{3}+\sqrt{-1}}{2}$
b. $\frac{-\sqrt{3}+\sqrt{-1}}{\sqrt{-4}}$
c. $\frac{\sqrt{3}-\sqrt{-1}}{\sqrt{-4}}$
d. $-\sqrt{-1}$ | 1 |
What can trigger famine conditions? | 0 |
(vi)
 | 1 |
1. Reaction of an inorganic sulphite $\mathrm{X}$ with dilute $\mathrm{H}_{2} \mathrm{SO}_{4}$ generates compound $\mathrm{Y}$. Reaction of $\mathrm{Y}$ with $\mathrm{NaOH}$ gives $\mathrm{X}$. Further, the reaction of $\mathrm{X}$ with $\mathrm{Y}$ and water affords compound $\mathrm{Z}$. Y and Z, respectively, are:
... | 1 |
How can one improve his problem solving abilities? | 0 |
What dealt a blow to the Kuomintang economy? | 0 |
17. In comparison to boron, berylium has:
(a) lesser nuclear charge and lesser first ionisation enthalpy.
(b) greater nuclear charge and lesser first ionisation enthalpy.
(c) greater nulear charge and greater first ionisation enthalpy.
(d) lesser nuclear charge and greater first ionisation enthalpy. | 1 |
30. Rutherford's alpha particle scattering experiment eventually led to the conclusion that :
(a) mass and energy are related
(b) electrons occupy space around the nucleus
(c) neutrons are buried deep in the nucleus
(d) the point of impact with matter can be precisely determined. | 1 |
2. $\lim _{x \rightarrow \frac{\pi}{4}} \frac{\int_{2}^{\sec ^{2} x} f(t) d t}{x^{2}-\frac{\pi^{2}}{16}}$ equals
(a) $\frac{8}{\pi} f(2)$
(b) $\frac{2}{\pi} f(2)$
(c) $\frac{2}{\pi} f \frac{1}{2}$
(d) $4 f(2)$ | 1 |
4. Match the following two columns.
| Column I | Column II |
| :--- | :--- |
| (a) Isobaric expansion | (p) $W>\Delta U$ |
| (b) Isochoric cooling | (q) $W<\Delta U$ |
| (c) Adiabatic expansion | (r) $Q=\Delta U$ |
| (d) Isothermal expansion | (s) $Q<\Delta U$ | | 1 |
31. If $\int \frac{d x}{x^{2} \cdot\left(x^{n}+1\right)^{(n-1) / n}}=-[f(x)]^{1 / n}+c$, then $f(x)$ is
a. $\left(1+x^{n}\right)$
b. $1+x^{-n}$
c. $x^{n}+x^{-n}$
d. None of these | 1 |
Example 6.34 Find the maximum value of $f(x)=\left(\frac{1}{x}\right)^{x}$. | 1 |
2.
| Column I (Equation) | Column II (Number of solutions) |
| :--- | :--- |
| a. $x^{3}+x^{2}+4 x+2 \sin x=0$ in $0 \leq x \leq 2 \pi$ | p. 4 |
| b. $\sin e^{x} \cos e^{x}=2^{x-2}+2^{-x-2}$ | q. 1 |
| c. $\sin 2 x+\cos 4 x=2$ | r. 2 |
| d. $30\|\sin x\|=x$ in $0 \leq x \leq 2 \pi$ | s. 0 | | 1 |
23. The correct order of equivalent conductance at infinite dilution of $\mathrm{LiCl}, \mathrm{NaCl}$ and $\mathrm{KCl}$ is $[2001 S]$
(a) $\mathrm{LiCl}>\mathrm{NaCl}>\mathrm{KCl}$
(b) $\mathrm{KCl}>\mathrm{NaCl}>\mathrm{LiCl}$
(c) $\mathrm{NaCl}>\mathrm{KCl}>\mathrm{LiCl}$
(d) $\mathrm{LiCl}>\mathrm{KCl}>\mathrm... | 1 |
10.9 A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit? | 1 |
24. When a dielectric slab is inserted between the plates of one of the two identical capacitors shown in the figure then match the following
| | Column-I | | Column -II |
| :---: | :---: | :---: | :---: |
| | Charge on A | (p) | increases |
| B. | Potential difference across A | (q) | decreases |
| | Potential di... | 1 |
1.
| Column I | Column II |
| :--- | :--- |
| a. If $a, b, c$ are in G.P., then $\log _{a} 10$, <br> $\log _{b} 10, \log _{c} 10$ are in | p. A.P. |
| b. If $\frac{a+b e^{x}}{a-b e^{x}}=\frac{b+c e^{x}}{b-c e^{x}}=\frac{c+d e^{x}}{c-d e^{x}}$, then | q. H.P. |
| $a, b, c, d$ are in | | | 1 |
What are the features of Magneto Mall of Raipur which makes it a special place to visit? | 0 |
38. The impurity atoms with which pure silicon should be doped to make a $p$-type semiconductor are those of
(a) phosphorus
(b) boron
(c) antimony
(d) aluminium | 1 |
38. To what volume must 50 mL of $3.50 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ be diluted in order to make 2 M $\mathrm{H}_2 \mathrm{SO}_4$ ?
[Hint: Use Rule 5]
(87.5 mL) | 1 |
What are some tips on making it through the job interview process at Duke Energy? | 0 |
How do I get my first job as a Spanish to English translator in India? | 0 |
2. Let $f(x)=\left\{\begin{array}{ll}1+x, & 0 \leq x \leq 2 \\ 3-x, & 2<x \leq 3\end{array}\right.$. Determine the function $g(x)=f(f(x))$, and hence find the points of discontinuity of $g$, if any. | 1 |
In a computer instruction format, the instruction length is 11 bits and the size of an address field is 4 bits. Is it possible to have: 5 2-address instructions 45 1-address instructions 32 0-address instructions using the format? | 0 |
Why does Trump tweet? | 0 |
What is considered a measurement of a state's support to liberal democracy? | 0 |
14. Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+\rho$ and $-\rho$, respectively, are placed such that they partially overlap, as shown in the figure.
At all points in the overlapping region
(a) The electrostatic field is zero
(b) The electrostatic potential ... | 1 |
6. A uniform solid sphere of mass $M$ and radius $a$ is surrounded symmetrically by a uniform thin spherical shell of equal mass and radius $2 a$. Find the gravitational field at a distance (a) $\frac{3}{2} a$ from the centre, (b) $\frac{5}{2} a$ from the centre. | 1 |
When is the best time of day to post on Instagram and Twitter to get the most amount of likes? | 0 |
Would it be possible to send garbage from Earth to space, to clean up Earth if it gets heavily polluted? | 0 |
Do babies dream while they are sleeping? | 0 |
What are examples of sentences using the word "compare"? | 0 |
Recipients of aid are concerned about what? | 0 |
How can excessive masturbation lead to low sperm count? | 0 |
- Example 11 Find minors and cofactors of the elements of the determinant
$$
\left|\begin{array}{ccc}
2 & -3 & 5 \\
6 & 0 & 4 \\
1 & 5 & -7
\end{array}\right| \text { and verify that } a_{11} \mathrm{~A}_{31}+a_{12} \mathrm{~A}_{32}+a_{13} \mathrm{~A}_{33}=0
$$ | 1 |
How do deaf people perceive music? | 0 |
6. $\quad A_{r}, r=1,2,3, \ldots, n$, are $n$ points on the parabola $y^{2}=4 x$ in the first quadrant. If $A_{r}=\left(x_{r}, y_{r}\right)$, where $x_{1}, x_{2}, x_{3}, \supset ., x_{n}$ are in GP and $x_{1}=1, x_{2}=2$, then $y_{n}$ is equal to
(a) $y_{11}=2^{6}$
(b) $y_{17}=2^{9}$
(c) $y_{22}=2^{\frac{23}{2}}$
(d) $... | 1 |
What historic period was the foundry for classic Chinese literature in the ancient world? | 0 |
3.  | 1 |
Prose literature can be sub-divided into what formats? | 0 |
12. $50 \%$ of the X-ray coming from a Coolidge tube is able to pass through a $0.1 \mathrm{~mm}$ thick aluminium foil. The potential difference between the target and the filament is increased. The thickness of aluminium foil, which will allow $50 \%$ of the X-ray to pass through, will be
(a) zero
(b) $<0.1 \mathrm{~m... | 1 |
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