Question stringlengths 2 3k | label int64 0 1 |
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24. If $f(\theta)=5 \cos \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3$, then range of $f(\theta)$ is
a. $[-5,11]$
b. $[-3,9]$
c. $[-2,10]$
d. $[-4,10]$ | 1 |
What is love? | 0 |
Can we install WhatsApp on a Windows PC? | 0 |
6. Which one has the highest boiling point?
(a) $\mathrm{Kr}$
(b) $\mathrm{Xe}$
(c) $\mathrm{He}$
(d) $\mathrm{Ne}$ | 1 |
How do I fall out of love with someone? | 0 |
12. Among the colloids cheese (C), milk (M) and smoke (S), the correct combination of the dispersed phase and dispersion medium, respectively is :
(a) $\mathrm{C}$ : liquid in solid; $\mathrm{M}$ : liquid in solid; $\mathrm{S}$ : solid in gas
(b) $\mathrm{C}$ : liquid in solid; $\mathrm{M}$ : liquid in liquid; $\ma... | 1 |
58. In Fig. 16-42, a string, tied to a sinusoidal oscillator at $P$ and running over a support at $Q$, is stretched by a block of mass $m$. Separation $L=1.20 \mathrm{~m}$, linear density $\mu=1.6 \mathrm{~g} / \mathrm{m}$, and the oscillator
=\sin x$ and $g(x)=\log _{e}|x|$. If the ranges of the composition function fog and gof are $R_{1}$ and $R_{2}$, respectively, then
a. $R_{1}=\{u:-1 \leq u<1\}, R_{2}=\{v:-\infty<v<0\}$
h. $R_{1}^{\prime}=\{u:-\infty<u<0\}, R_{2}=\{v:-\infty<v<0\}$
c. $R_{1}=\{u:-1<u<1\}, R_{2}=\{v:-\infty<v<0\}$
d. $R_{1}=... | 1 |
18. From the following values of $E^{0}$ drawn from the emf series, calculate standard emf and the equilibrium constant for the reaction,
$$
\begin{gather*}
\mathrm{Hg}^{2+}+\mathrm{Hg} \rightleftharpoons \mathrm{Hg}_{2}^{2+} \\
E_{\mathrm{Hg}_{2}{ }^{2+}, \mathrm{Hg}}=0.788 \mathrm{~V} ; E_{\mathrm{Hg}^{2+}, \mathrm{... | 1 |
How many engineering colleges are in Rajasthan? | 0 |
Example 1.9 Find all possible values of the following
expressions:(i) $\sqrt{x^{2}-4}$
(ii) $\sqrt{9-x^{2}}$
(iii) $\sqrt{x^{2}-2 x+10}$ | 1 |
25. What are partial and total vapour pressures at $25^{\circ} \mathrm{C}$ above the solution having equal numbers of molecules of benzene and toluene? The vapour pressures of benzene and toluene at this temperature are 95.1 and 28.4 mmHg respectively. What is the composition of the vapour in equilibrium with benzene-t... | 1 |
What are examples of biotic and abiotic interactions? | 0 |
8. In the given conformation, if $\mathrm{C}_{2}$ is rotated about $\mathrm{C}_{2}-\mathrm{C}_{3}$ bond anticlockwise by an angle of $120^{\circ}$ then the conformation obtained is
Identify... | 1 |
Do pit bulls make good family pets? | 0 |
What shouldn't architecture be assumed to promote, according to Rondanini? | 0 |
Is it good to listen to music when I sleep? | 0 |
25. Let $P$ be a point on the circle $S$ with both coordinates being positive. Let the tangent to $S$ at $P$ intersect the coordinate axes at the points $M$ and $N$. Then, the mid-point of the line segment $M N$ must lie on the curve
(a) $(x+y)^{2}=3 x y$
(b) $x^{2 / 3}+y^{2 / 3}=2^{4 / 3}$
(c) $x^{2}+y^{2}=2 x y$
... | 1 |
3. Find the length of altitude through $A$ of the triangle $A B C$, where $A \equiv(-3,0), B \equiv(4,-1), C \equiv(5,2)$. | 1 |
When you are messaging with someone can you tell if they are also chatting with someone else? | 0 |
Can we forecast earthquakes? | 0 |
10. A hollow sphere and a solid sphere having same mass and same radii are rolled down a rough inclined plane.
(a) The hollow sphere reaches the bottom first.
(b) The solid sphere reaches the bottom with greater speed.
(c) The solid sphere reaches the bottom with greater kinetic energy.
(d) The two spheres will reach t... | 1 |
Which president has had the best signature? | 0 |
What is the future of chemical engineering? | 0 |
45. Number of points of inflection for $y=f(x)$ is
a. 1
b. 2
c. 3
d. 4 | 1 |
44. $\mathrm{Ag}^{+}+\mathrm{NH}_{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}_{3}\right)\right]^{+} ; k_{1}=6.8 \times 10^{-3}$
$\left[\mathrm{Ag}\left(\mathrm{NH}_{3}\right)\right]^{+}+\mathrm{NH}_{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}_{3}\right)_{2}\right]^{+} ; \mathrm{k}_{2}=1.6 \time... | 1 |
How do you manage time between work and study? | 0 |
What is Newton Natural philosophy? | 0 |
I need money, can I get money? | 0 |
12. If the following half cells have the $E^{0}$ values as $\mathrm{Fe}^{3+}+\mathrm{e} \rightarrow \mathrm{Fe}^{2+} ; E^{0}=+0.77 \mathrm{~V}$ and $\mathrm{Fe}^{2+}+2 \mathrm{e} \rightarrow \mathrm{Fe} ; E^{0}=-0.44 \mathrm{~V}$; the $E^{0}$ of the half cell $\mathrm{Fe}^{3+}+3 \mathrm{e} \rightarrow \mathrm{Fe}$ will... | 1 |
4 A neutral pion initially at rest decays into two gamma rays: $\pi^{0} \rightarrow \gamma+\gamma$. Calculate the wavelength of the gamma rays. Why must they have the same wavelength? | 1 |
In what part of Europe did the Slavs live? | 0 |
27. A square is made by joining four rods each of mass $M$ and length $L$. Its moment of inertia about an axis $P Q$, in its plane and passing through one of its corner is
(a) $6 M L^{2}$
(b) $\frac{4}{3} M L^{2}$
(c) $\frac{8}{3} M L^{2}$
(d) $\frac{10}{3} M L^{2}$
 $-2 \frac{d[A]}{d t}=+\frac{1}{2} \frac{d[B]}{d t}$
(b) $+2 \frac{d[A]}{d t}=-\frac{1}{2} \frac{d[R]}{d t}$
(c) $-\frac{1}{2} \frac{d[A]}{d t}=+2 \frac{d[B]}{d t}$
(d) $+\frac{1}{... | 1 |
How do you become a good teacher? | 0 |
56. At a certain temperature in a 5-L vessel, 2 moels of CO and 3 moles of chlorine were allowed to reach equilibrium according to the reaction
$$
\mathrm{CO}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{COCl}_{2}
$$
At equilibrium, if one mole of CO is present, then equilibrium constant $\left(K_{\mathrm{c}}\right)$ f... | 1 |
5. A hydrated salt of iron sulphate weighing 2 g , contains 0.9065 g of water of crystallisation. Find the formula of the hydrated salt. $\quad\left(\mathrm{FeSO}_{4} \cdot 7 \mathrm{H}_{2} \mathrm{O}\right)$ | 1 |
What are the must read newspapers in India? | 0 |
1. Which of the following sets cannot enter into the list of fundamental quantities in any system of units ?
(a) length, mass and velocity,
(b) length, time and velocity,
(c) mass, time and velocity, ... | 1 |
Why has Apple removed the SD card slot from new MacBooks? | 0 |
6. A coil of area $2 \mathrm{~m}^{2}$ and resistance $4 \Omega$ is placed perpendicular to a uniform magnetic field of $4 \mathrm{~T}$. The loop is rotated by $90^{\circ}$ in 0.1 second. Choose the correct options.
(a) Average induced emf in the coil is $8 \mathrm{~V}$
(b) Average induced current in the circuit is $2... | 1 |
What are some of the best business books? | 0 |
2. The Wheatstone bridge shown in figure here, gets balanced when the carbon resistor is used as $R_{1}$ has the color code (orange, red, brown). The resistors $R_{2}$ and $R_{4}$ are $80 \Omega$ and 40 $\Omega$, respectively.
Assuming that the color code for the carbon resistors gives their accurate values, the color... | 1 |
12. Average velocity of a particle in projectile motion between its starting point and the highest point of its trajectory is (projection speed $=u$, angle of projection from horizontal $=\theta$ )
(a) $u \cos \theta$
(b) $\frac{u}{2} \sqrt{1+3 \cos ^{2} \theta}$
(c) $\frac{u}{2} \sqrt{2+\cos ^{2} \theta}$
(d) $\frac{u... | 1 |
4. What is the lowest molecular weight possible for Ester?
(A) 30 (B) 46 (C) 56 (D) 60 | 1 |
23. The potential energy function of a particle in the $x-y$ plane is given by $U=k(x+y)$, where $k$ is a constant. The work done by the conservative force in moving a particle from $(1,1)$ to $(2,3)$ is
(a) $-3 k$
(b) $+3 k$
(c) $k$
(d) None of these | 1 |
What are some effective ways to reduce face fat? | 0 |
70. If $a_{1}, a_{2}, \ldots, a_{n}$ are in A.P. with common difference $d \neq 0$, then sum of the series $\sin d\left[\sec a_{1} \sec a_{2}+\sec a_{2} \sec a_{3}+\cdots\right.$ $\left.+\sec a_{n-1} \sec a_{n}\right]$ is
a. $\operatorname{cosec} a_{n}-\operatorname{cosec} a$
b. $\cot a_{n}-\cot a$
c. $\sec a_{n}-\sec ... | 1 |
Over what time period were the Western Kshatrapas in power? | 0 |
What would you do if a competitor asks for a clients Adwords account. | 0 |
34. Dipole moment is shown by :
(a) 1, 4-dichlorobenzene
(b) cis-1, 2-dichloroethane
(c) trans -1, 2-dichloroethene
(d) trans-1, 2-dichloro-2-pentene | 1 |
(i) Write the electronic configurations of the following ions: (a) $\mathrm{H}^{-}$(b) $\mathrm{Na}^{+}$(c) $\mathrm{O}^{2-}$ (d) $\mathrm{F}^{-}$ | 1 |
3. If the planes $\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=q_{1}, \vec{r} \cdot(\hat{i}+2 a \hat{j}+\hat{k})=q_{2}$ and $\vec{r} \cdot\left(a \hat{i}+a^{2} \hat{j}+\hat{k}\right)=q_{3}$ intersect in a line, then the value of $a$ is
a. 1
b. $1 / 2$
c. 2
d. 0 | 1 |
How can I lose weight quickly? | 0 |
What is your favorite moment in a movie? | 0 |
37. A person standing on the top of a cliff 171 ft high has
to throw a packet to his friend standing on the ground
228 ft horizontally away. If he throws the packet directly
aiming at the friend with a speed of 15.0 ft/s, how short
will the packet fall ? | 1 |
When did the suffering of the Jews begin? | 0 |
What should I do to get a job? | 0 |
How do I buy shares and do bussiness with shares? | 0 |
What are career options for a high school teacher? | 0 |
20. Let $f(x)$ be an increasing function defined on $(0, \infty)$. If in the range of $a$ is/are
a. 1
b. 2
c. 3
d. 4 | 1 |
Is the world gonna end in 2016? | 0 |
82. If $A=\int_{0}^{1} x^{50}(2-x)^{50} d x ; B=\int_{0}^{1} x^{50} \cdot(1-x)^{50} d x$, which of the following is true?
a. $A=2^{50} B$
b. $A=2^{-50} B$
c. $A=2^{100} B$
d. $A=2^{-100} B$ | 1 |
What are good ways to deal with conflicts in a relationship? | 0 |
(i) Express this in per cent by mass. | 1 |
Where can I get cheap Branded jeans in Bangalore? | 0 |
Example 5.101 In how many different ways can 3 persons $A, B, C$ having 6 one-rupee coin, 7 one-rupee coin, 8 one-rupee coin, respectively, donate 10 one-rupee coin collectively? | 1 |
How many TEUs did Piraeus handle in 2010? | 0 |
What is an AC condenser capacitor? | 0 |
How do you send a letter? | 0 |
What's it like being a bisexual teen boy in high school? | 0 |
What countries suffer from the most racism and prejudice? Which suffer from the least? Why are they that way? | 0 |
23. In the arrangement shown in figure, dielectric constant $K_{1}=2$ and $K_{2}=3$. If the capacitance across $P$ and $Q$ are $C_{1}$ and $C_{2}$ respectively, then $C_{1} / C_{2}$ will be (the gaps shown are negligible)
=\left\{\begin{array}{l}1, x \text { is rational } \\ 0, x \text { is irrational }\end{array}\right.$
b. $f(x)=\left\{\begin{array}{cc}x-[x] ; & 2 n \leq x<2 n+1 \\ \frac{1}{2} ; & 2 n+1 \leq x<2 n+2\end{array}\right.$, where [.] denotes the greatest integer f... | 1 |
128 A 70 kg firefighter slides, from rest, 4.3 m down a vertical pole. (a) If the firefighter holds onto the pole lightly, so that the frictional force of the pole on her is negligible, what is her speed just before reaching the ground floor? (b) If the firefighter grasps the pole more firmly as she slides, so that the... | 1 |
What is waterboarding? | 0 |
1. Let $\mathrm{A}=\{1,2,3, \ldots, 14\}$. Define a relation R from A to A by $\mathrm{R}=\{(x, y): 3 x-y=0$, where $x, y \in \mathrm{A}\}$. Write down its domain, codomain and range. | 1 |
25. The values of parameter $a$ if $f(x)$ has a negative point of local minimum are
a. $\phi$
b. $(-3,3)$
c. $\left(-\infty, \frac{58}{14}\right)$
d. None of these | 1 |
65. The sum of $1+n\left(1-\frac{1}{x}\right)+\frac{n(n+1)}{2!}\left(1-\frac{1}{x}\right)^{2}+\cdots \infty$ will be
a. $x^{\prime \prime}$
b. $x^{-n}$
c. $\left(1-\frac{1}{x}\right)^{n}$
d. none of these | 1 |
Example 17 At 1 atmospheric pressure, $1.000 \mathrm{~g}$ of water having a volume of $1.000 \mathrm{~cm}^{3}$ becomes $1671 \mathrm{~cm}^{3}$ of steam when boiled. The heat of vaporization of water at 1 atmosphere is 539 cal/g. What is the change in internal energy during the process? | 1 |
24. A wire carrying current $i$ has the configuration as shown in figure. Two semi-infinite straight sections, both tangent to the same circle, are connected by a circular arc of central angle $\theta$, along the circumference of the circle, with all sections lying in the same plane. What must $\theta$ be for $B$
 is
(a) $\mathrm{Mg}(\mathrm{OH})_{2}$
(b) $\mathrm{Ca}(\mathrm{OH})_{2}$
(c) $\mathrm{Ba}(\mathrm{OH})_{2}$
(d) $\mathrm{Be}(\mathrm{OH})_{2}$ | 1 |
Example 3.10 In a certain A.P., 5 times the $5^{\text {th }}$ term is equal to 8 times the $8^{\text {th }}$ term, then prove that its $13^{\text {th }}$ term is 0 . | 1 |
14. How would you synthesise 4-methoxyphenol from bromobenzene in NOT more than five steps? State clearly the reagents used in each step and show the structures of the intermediate compounds in your synthetic scheme. | 1 |
What was Spinoza's concept of God? | 0 |
9.33 What do you expect the nature of hydrides is, if formed by elements of atomic numbers $15,19,23$ and 44 with dihydrogen? Compare their behaviour towards water. | 1 |
How does one lose weight without extremely restrictive dieting? | 0 |
What happens at the first day of most Indian colleges? | 0 |
21. A sonometer wire of length $l$ vibrates in fundamental mode when excited by a tuning fork of frequency $416 \mathrm{~Hz}$. If the length is doubled keeping other things same, the string will
(a) vibrate with a frequency of $416 \mathrm{~Hz}$
(b) vibrate with a frequency of $208 \mathrm{~Hz}$
(c) vibrate with a freq... | 1 |
What is the literacy rate of New Delhi according to the 2011 census? | 0 |
12. The water is electrolysed in a cell, hydrogen is liberated at one electrode and oxygen is simultaneously liberated at the other. In a particular experiment hydrogen and oxygen so produced were collected together and the total volume measured 16.8 mL at NTP. How many coulombs were passed through the cell in the expe... | 1 |
5. $x$-t equation of a particle in SHM is, $x=4+6 \sin \pi t$. Match the following tables corresponding to time taken in moving from
| Column I | Column II |
| :--- | :--- |
| (a) $x=10 \mathrm{~m}$ to $x=4 \mathrm{~m}$ | (p) $\frac{1}{3}$ second |
| (b) $x=10 \mathrm{~m}$ to $x=7 \mathrm{~m}$ | (q) $\frac{1}{2}$ seco... | 1 |
What are the best IT companies in Mumbai? | 0 |
5. An X-ray tube is operated at $18 \mathrm{kV}$. The maximum velocity of electron striking the target is
(a) $8 \times 10^{7} \mathrm{~m} / \mathrm{s}$
(b) $6 \times 10^{7} \mathrm{~m} / \mathrm{s}$
(c) $5 \times 10^{7} \mathrm{~m} / \mathrm{s}$
(d) None of these | 1 |
What are the raw materials of silver paper roll? | 0 |
Why I do not like Quora? | 0 |
What would be salary of a person whose basic is 18490 and grade pay 4800? | 0 |
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