Question stringlengths 2 3k | label int64 0 1 |
|---|---|
When can I test for pregnancy? | 0 |
Along with the Cathars and Humiliati, what group was notably condemned as heretics in this period? | 0 |
Are SIMPs what ripple when galaxy clusters collide and what wave in a double slit experiment? | 0 |
20. Number of roots of the equation $\cos 2 \theta=\cos \theta$ in $[0,4 \pi]$ are
a. 2
b. 3
c. 4
d. 6 | 1 |
Example 1.55 If $f(x)=\left\{\begin{array}{l}{[x], \quad 0 \leq\{x\}<0.5} \\ {[x]+1,0.5<\{x\}<1}\end{array}\right.$ then prove that $f(x)=-f(-x)$ (where $[$.$] and \{\}$ represent the greatest integer function and fractional part function). | 1 |
In what year was Indian Drugs and Pharmaceuticals Limited established? | 0 |
6. If the radius of the earth were to shrink by one per cent, its mass remaining the same, the acceleration due to gravity on the earth's surface would
(a) decrease
(b) remain unchanged
(c) increase
(d) be zero | 1 |
How can I know that I am an introvert? | 0 |
Where should I invest to benefit most from the ban of 500 and 1000 Rs notes in India? | 0 |
5.26 A stone of mass $m$ tied to the end of a string revolves in a vertical circle of radius $R$. The net forces at the lowest and highest points of the circle directed vertically downwards are : [Choose the correct alternative]
$$
\begin{array}{|l|c|c|}
\hline & \text { Lowest Point } & \begin{array}{l}
\text { Highe... | 1 |
How much time on average do you spend on answering questions on Quora? | 0 |
How many tigers were relocated to Sariska? | 0 |
7. $\lim _{x \rightarrow 1} \frac{x \sin (x-[x])}{x-1}$, where [-] denotes the greatest integer function, is equal to
a. 0
b. -1
c. Non-existent
d. None of these | 1 |
12. If 100 mole of $\mathrm{H}_{2} \mathrm{O}_{2}$ decomposes at 1 bar and $300 \mathrm{~K}$, the work done $(\mathrm{kJ})$ by one mole of $\mathrm{O}_{2}(\mathrm{~g})$ as it expands against 1 bar pressure is :
$$2 \mathrm{H}_{2} \mathrm{O}_{2}(l) \rightleftharpoons \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{O}_{2}(g)
$$
[... | 1 |
What is the best and painless way to kill yourself? | 0 |
11. A pair of four dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
a. $8 / 9$
b. $8 / 729$
c. $8 / 243$
d. $1 / 729$ | 1 |
28. Which is larger, an $\mathrm{He}^{+}$ion with an electron in an orbit with $n=3$ or an $\mathrm{Li}^{2+}$ ion with an electron in an orbit with $n=5$ ?
(a) $\mathrm{He}^{+}$
(b) $\mathrm{Li}^{2+}$
(c) both equal | 1 |
10. For the equilibrium $2 \mathrm{H}_{2} \mathrm{O} \rightleftharpoons \mathrm{H}_{3} \mathrm{O}^{+}+\mathrm{OH}^{-}$; the value of $\square \mathrm{G}^{\mathrm{o}}$ at $298 \mathrm{~K}$ is approximately:
(a) $100 \mathrm{~kJ} \mathrm{~mol}^{-1}$
(b) $-80 \mathrm{~kJ} \mathrm{~mol}^{-1}$
(c) $80 \mathrm{~kJ} \math... | 1 |
36. Statement-1 : Between $\mathrm{SiCl}_{4}$ and $\mathrm{CCl}_{4}$, only $\mathrm{SiCl}_{4}$ reacts with water.
Statement-2 : $\mathrm{SiCl}_{4}$ is ionic and $\mathrm{CCl}_{4}$ is covalent. | 1 |
11. A thief in a stolen car passes through a police check post at his top speed of $90 \mathrm{kmh}^{-1}$. A motorcycle cop, reacting after $2 \mathrm{~s}$, accelerates from rest at $5 \mathrm{~ms}^{-2}$. His top speed being $108 \mathrm{kmh}^{-1}$. Find the maximum separation between policemen and thief.
(a) $112.5 \m... | 1 |
24. $\lim _{x \rightarrow 0} \frac{\sin x^{n}}{(\sin x)^{m}},(m<n)$ is equal to
a. 1
b. 0
c. $n / m$
d. None of these
U | 1 |
13. Let $z, w$ be complex numbers such that $\bar{z}+i \bar{w}=0$ and $\arg z w=$ $\pi$. Then $\arg z$ equals
a. $\frac{\pi}{4}$
b. $\frac{\pi}{2}$
c. $\frac{3 \pi}{4}$
d. $\frac{5 \pi}{4}$ | 1 |
43. If $f(x)=\left\{\begin{array}{l}x^{3}, x^{2}<1 \\ x, x^{2} \geq 1\end{array}\right.$, then $f(x)$ is differentiable at
a. $(-\infty, \infty)-\{1\}$
b. $(-\infty, \infty) \sim\{1-1\}$
c. $(-\infty, \infty) \sim\{1-1,0\}$
d. $(-\infty, \infty) \sim\{-1\}$ | 1 |
16. Consider an A.P. $a_{1}, a_{2}, a_{3}, \ldots$ such that $a_{3}+a_{5}+a_{8}=11$ and $a_{4}+a_{2}=-2$, then the value of $a_{1}+a_{6}+a_{7}$ is
a. -8
b. 5
c. 7
d. 9 | 1 |
13. Which of the following is/are true about the root/s of inequality $\log _{|x|}\left|x^{2}+x+1\right| \leq 1$.
(a) No root is negative integer
(b) $|\mathrm{x}|<1$
(c) $|\mathrm{x}|>2$
(d) No is positive integer | 1 |
Which philosophy followed structuralism? | 0 |
8. A radioactive sample $S_{1}$ having an activity of $5 \mu \mathrm{Ci}$ has twice the number of nuclei as another sample $S_{2}$ which has an activity of $10 \mu \mathrm{Ci}$. The half lives of $S_{1}$ and $S_{2}$ can be
(a) $20 \mathrm{yr}$ and $5 \mathrm{yr}$, respectively
(b) $20 \mathrm{yr}$ and $10 \mathrm{y... | 1 |
Which is the best Whirlpool microwave oven repair center in Hyderabad? | 0 |
29. The range of $g(f(x))$ is
a. $[\sin 3, \sin 1]$
b. $[\sin 3,1] \cup\{-2,-1,0\}$
c. $[\sin 1,1] \cup\{-2,-1\}$
d. $[\sin 1,1]$ | 1 |
How will issuing of new 2000 Rs notes help curb black money and corruption? | 0 |
Why is Donald Trump up in the middle of the night tweeting so much? | 0 |
Where can I find a list of Tagged's entire product offering? | 0 |
5. The unit vector which is orthogonal to the vector $3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+6 \hat{\mathbf{k}}$ and is coplanar with the vectors $2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}$ and $\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$ is
(a) $\frac{2 \hat{\mathbf{i}}-6 \hat{\mathbf{j}}+\hat{\mat... | 1 |
Can I get pregnant a couple hours before I got my period? | 0 |
26. A solution of sodium sulphate in water is electrolysed using inert electrodes. The products at the cathode and anode are respectively
[1987 - 1 Mark]
(a) $\mathrm{H}_{2}, \mathrm{O}_{2}$
(b) $\mathrm{O}_{2}, \mathrm{H}_{2}$
(c) $\mathrm{O}_{2}, \mathrm{Na}$
(d) $\mathrm{O}_{2}, \mathrm{SO}_{2}$ | 1 |
How do I book online railway train tickets online? | 0 |
If you send a semi naked picture of your boyfriend's favourite actress and he says it does not turn him on in fact you can see it does not, is it something to be proud of or worried about? | 0 |
I just broke a bone in my foot. Is it worth spending $500 to get an ultrasound bone stimulator? | 0 |
3. A dielectric slab is inserted between the plates of a capacitor. The charge on the capacitor is $Q$ and the magnitude of the induced charge on each surface of the dielectric is $Q^{\prime}$.
(a) $Q^{\prime}$ may be larger than $Q$.
(b) $Q^{\prime}$ must be larger than $Q$.
(c) $Q^{\prime}$ must be equal to $Q$.
... | 1 |
34. Find the current passing through battery immediately after key $(K)$ is closed. It is given that initially all the capacitors are uncharged. (Given that $R=6 \Omega$ and $C=4 \mu \mathrm{F}$ )
 $f(x)=\sqrt{9-x^{2}}$. | 1 |
25. $\mathrm{Ca}^{2+}$ has a smaller ionic radius than $\mathrm{K}^{+}$because it has ........... | 1 |
16. Two samples of HI each of 5 g were taken separately in two vessels of volume 5 and 10 litres respectively at $27^{\circ} \mathrm{C}$. The extent of dissociation of HI will be
(a) more in the 5-litre vessel
(b) more in the 10-litre vessel
(c) equal in both vessels
(d) nil at both | 1 |
How will Wikipedia earn money? | 0 |
Is it possible to harness heat produced whilst in bed to be stored to warm the bed when needed? | 0 |
What political party is the color blue associated with? | 0 |
5. $f(x)=\left[\log _{e} x\right]+\sqrt{\left\{\log _{e} x\right\}}, x>1$, where [.] and $\{$.$\} denote the greatest integer function and the$ fractional part function respectively, then
(a) $f(x)$ is continuous but non-differentiable at $x=e$
(b) $f(x)$ is differentiable at $x=e$
(c) $f(x)$ is discontinuous at $x=... | 1 |
Is trump a billionaire? How do we know for sure? Why do most people (Mark Cuban excepted) just take him at his word on this? | 0 |
34. The compounds used as refrigerant are (a) $\mathrm{NH}_{3}$
(b) $\mathrm{CCl}_{4}$
(c) $\mathrm{CF}_{4}$
(d) $\mathrm{CF}_{2} \mathrm{Cl}_{2}$
(e) $\mathrm{CH}_{2} \mathrm{~F}_{2}$ | 1 |
How can I drive more traffic to my website? | 0 |
What older works of art look surprisingly modern? | 0 |
117. The range of
$$
f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{\ldots \infty}}}}
$$
is
a. $[0,1]$
b. $[0,1 / 2$ ?
c. $[0,2]$
d. None of these | 1 |
6. If $\sin \theta, 1, \cos 2 \theta$ are in G.P., then $\theta$ is equal to ( $n \in Z$ )
a. $n \pi+(-1)^{n} \frac{\pi}{2}$
b. $n \pi+(-1)^{n-1} \frac{\pi}{2}$
c. $2 n \pi$
d. none of these | 1 |
How many meters high is Guru Shikhar? | 0 |
37. In a certain region, uniform electric field $\mathbf{E}=-E_{0} \hat{\mathbf{k}}$ and magnetic field $\mathbf{B}=B_{0} \hat{\mathbf{k}}$ are present. At time $t=0$, a particle of mass $m$ and charge $q$ is given a velocity $\mathbf{v}=v_{0} \hat{\mathbf{j}}+v_{0} \hat{\mathbf{k}}$. Find the minimum speed of the part... | 1 |
When will Apple release the iPhone 7? | 0 |
Which country did Britain ally with in 1904? | 0 |
What's the best way, date or time to return DVDs to Netflix so that you maximize how many discs you receive in a month? | 0 |
## Passage
Phase space diagrams are useful tools in analysing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which po... | 1 |
28. Determine the value of $c$, so that for all real $x$, the vector $c x \hat{\mathbf{i}}-6 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}$ and $x \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+2 c x \hat{\mathbf{k}}$ make an obtuse angle with each other. | 1 |
21. If a ladder weighing $250 \mathrm{~N}$ is placed against a smooth vertical wall having coefficient of friction between it and floor 0.3 , then what is the maximum force of friction available at the point of contact between the ladder and the floor?
(a) $75 \mathrm{~N}$
(b) $50 \mathrm{~N}$
(c) $35 \mathrm{~N}$
(d) ... | 1 |
2. Let $f(x)=\int_{1}^{x} \frac{3^{t}}{1+t^{2}} d t$, where $x>0$, then.
a. for $0<\alpha<\beta, f(\alpha)<f(\beta)$
b. for $0<\alpha<\beta, f(\alpha)>f(\beta)$
c. $f(x)+\pi / 4<\tan ^{-1} x, \forall x \geq 1$
d. $f(x)+\pi / 4>\tan ^{-1} x, \forall x \geq 1$ | 1 |
18. A block of mass $5 \mathrm{~kg}$ is raised from the bottom of the lake to a height of $3 \mathrm{~m}$ without change in kinetic energy. If the density of the block is $3000 \mathrm{~kg} \mathrm{~m}^{-3}$, then the work done is equal to
(a) $100 \mathrm{~J}$
(b) $150 \mathrm{~J}$
(c) $50 \mathrm{~J}$
(d) $75 \mathrm... | 1 |
84. The differential equation of the curve $\frac{x}{c-1}+\frac{y}{c+1}=1$ is given by
a. $\left(\frac{d y}{d x}-1\right)\left(: y+x \frac{d y}{d x}\right)=2 \frac{d y}{d x}$
b. $\left(\frac{d y}{d x}+1\right)\left(y-x \frac{d y}{d x}\right)=\frac{d y}{d x}$
c. $\left(\frac{d y}{d x}+1\right)\left(y-x \frac{d y}{d x}\r... | 1 |
What is the process of publishing a book? | 0 |
8. The value of $\cos (\alpha+\beta)$ is
a. $\frac{12}{25}$
b. $\frac{7}{25}$
c. $\frac{12}{13}$
d none of these | 1 |
What device was used most during the The Information age? | 0 |
7.24 Calculate a) $\Delta G^{\ominus}$ and b) the equilibrium constant for the formation of $\mathrm{NO}_{2}$ from NO and $\mathrm{O}_{2}$ at 298 K
$$
\mathrm{NO}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{NO}_{2}(\mathrm{~g})
$$
where
$\Delta_{\mathrm{f}} G^{\ominus}\left(\mathrm{NO}_{... | 1 |
Where and how do I file income tax returns? | 0 |
(a) Three resistors $1 \Omega, 2 \Omega$, and $3 \Omega$ are combined in series. What is the total resistance of the combination? | 1 |
How do I get rid of acne naturally? | 0 |
23. The figure represents two concentric shells of radii $R_{1}$ and $R_{2}$ and masses $M_{1}$ and $M_{2}$ respectively. The gravitational field intensity at the point $A$ at distance $a\left(R_{1}<a<R_{2}\right)$ is
(a) $\frac{G\left(M_{1}+M_{2}\right)}{a^{2}}$
(b) $\frac{G M_{1}}{a^{2}}+\frac{G M_{2}}{R_{2}^{2}}$
(c... | 1 |
14. If for complex numbers $z_{1}$ and $z_{2}, \arg \left(z_{1}\right)-\arg \left(z_{2}\right)=0$, then $\mid z_{1}-$ $z_{2}$ I is equal to
a. $\left|z_{1}\right|+\left|z_{2}\right|$
b. $\left|z_{1}\right|-\left|z_{2}\right|$
c. ||$z_{1}|-| z_{2} \mid$
d. 0 | 1 |
38. A small block of mass $m$ is placed at rest on the top of a smooth wedge of mass $M$, which in turn is placed at rest on a smooth horizontal surface as shown in figure. It $h$ be the height of wedge and $\theta$ is the inclination, then the distance moved by the wedge as the block reaches the foot of the wedge is
... | 1 |
How do I clean fruits and vegetables? | 0 |
Which comic character was the first to appear in a weekly magazine? | 0 |
5. Elevation in the boiling point for 1 molal solution of glucose is $2 \mathrm{~K}$. The depression in the freezing point for 2 molal solution of glucose in the same solvent is $2 \mathrm{~K}$. The relation between $\mathrm{K}_{\mathrm{b}}$ and $\mathrm{K}_{\mathrm{f}}$ is:
(a) $\mathrm{K}_{\mathrm{b}}=1.5 \mathrm{... | 1 |
The prefrontal cortex is the largest in what animals? | 0 |
African dictators often have what kind of bank accounts? | 0 |
12. If $M$ is the mass of the earth and $R$ its radius, the ratio of the gravitational acceleration and the gravitational constant is
(a) $\frac{R^{2}}{M}$
(b) $\frac{M}{R^{2}}$
(c) $M R^{2}$
(d) $\frac{M}{R}$ | 1 |
What are the best was to lose weight? | 0 |
4. A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in
$ is taken through a cyclic process starting from point $A$. The process $A \rightarrow B$ is an adiabatic compression. $B \rightarrow C$ is isobaric expansion, $C \rightarrow D$ an adiabatic expansion and $D \rightarrow A$ is isochoric.
The volume ratio are $V_{A} / V... | 1 |
57. The domain of the function $f(x)=\frac{1}{\sqrt{\{\sin x\}+\{\sin (\pi+x)\}}}$, where $\{\cdot\}$ denotes the fractional part, is
a. $[0, \pi]$
b. $(2 n+1) \pi / 2, n \in Z$
c. $(0, \pi)$
d. None of these | 1 |
11. A cube has a side of length $2.342 \mathrm{~m}$. Find volume and surface area in correct significant figures. | 1 |
How did Donald Trump win the Presidential election? | 0 |
(ii) Classify the isomers of alcohols in question 11.3 (i) as primary, secondary and tertiary alcohols. | 1 |
8. Match the reactions in Columns I with nature of the reactions/type of the products in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.
| Column I | Column II ... | 1 |
Where in Hyderabad would one find defence centres? | 0 |
2. If a unit vector a makes angles $\frac{\pi}{3}$ with $\hat{\mathbf{i}}, \frac{\pi}{4}$ with $\hat{\mathbf{j}}$ and $\theta \in(0, \pi)$ with $\hat{\mathbf{k}}$, then a value of $\theta$ is
(a) $\frac{5 \pi}{6}$
(b) $\frac{\pi}{4}$
(c) $\frac{5 \pi}{12}$
(d) $\frac{2 \pi}{3}$ | 1 |
32. The chemical processes in the production of steel from haematite ore involve
(a) reduction
(b) oxidation
(c) reduction followed by oxidation
(d) oxidation followed by reduction | 1 |
What's the best university to do a Ph.D in public health from? | 0 |
Example 1.69 Which of the following functions is (are) even, odd or neither
a. $f(x)=x^{2} \sin x$.
$\mathbf{h} f(x)=\sqrt{1+x+x^{2}}-\sqrt{1-x+x^{2}}$.
c. $f(x)=\log \left(\frac{1-x}{1+x}\right)$.
d. $f(x)=\log \left(x+\sqrt{1+x^{2}}\right)$
e. $f(x)=\sin x-\cos x$.
f. $f(x)=\frac{e^{x}+e^{-x}}{2}$. | 1 |
6. The correct statement about $\mathrm{ICl}_{5}$ and $\mathrm{ICli}_{4}$ :
(a) both are is isostructural.
(b) $\mathrm{ICl}_{5}$ is trigonal bipyramidal and $\mathrm{ICl}_{4}$ is tetrahedral.
(c) $\mathrm{ICl}_{5}$ is square pyramidal and $\mathrm{ICl}_{4}^{-}$ is tetrahedral.
(d) $\ma... | 1 |
4 A straight conductor carrying current $i=5.0 \mathrm{~A}$ splits into identical semicircular arcs as shown in Fig. 29-36. What is the magnetic field at the center C of the resulting circular loop? | 1 |
What would happen if India suddenly decided to adopt the dollar or euro as its currency? What are the repercussions? | 0 |
36. If $\vec{a}=x \hat{i}+y \hat{j}+z \hat{k}, \vec{b}=y \hat{i}+z \hat{j}+x \hat{k}$ and $\vec{c}=z \hat{i}+x \hat{j}+y \hat{k}$, then $\vec{a} \times(\vec{b} \times \vec{c})$ is
a. parallel to $(y-z) \hat{i}+(z-x) \hat{j}+(x-y) \hat{k}$
b. orthogonal to $\hat{i}+\hat{j}+\hat{k}$
c. orthogonal to $(y+z) \hat{i}+(z+x) ... | 1 |
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