Question stringlengths 2 3k | label int64 0 1 |
|---|---|
13. $y=\cos ^{-1}\left(\frac{2 x}{1+x^{2}}\right),-1<x<1$ | 1 |
32. A particle when projected in vertical plane moves along smooth surface with initial velocity $20 \mathrm{~ms}^{-1}$ at an angle of $60^{\circ}$, so that its normal reaction on the surface remains zero throughout the motion. Then the slope of the surface at height $5 \mathrm{~m}$ from the point of projection will be... | 1 |
Will I get full refund for my confirmed ticket after chart preparation? | 0 |
When was Hussain Sagar lake built? | 0 |
What are the common acids used in daily life? | 0 |
Where has haze been predominant? | 0 |
Why do I look so different in these two photos? | 0 |
In which Indian city is the Siri Fort Sports Complex located? | 0 |
What is the Sahara, and how do the average temperatures there compare to the ones in the Thar Desert? | 0 |
Why do management staff get paid more than technical staff? | 0 |
Along with smiling and frowning, what is an example of a facial or body movement caused by emotion? | 0 |
29. The energy of activation of a forward reaction is 50 kcal . The energy of activation of its backward reaction is
(a) equal to 50 kcal
(b) greater than 50 kcal
(c) less than 50 kcal
(d) either greater or less than 50 kcal | 1 |
5. The total number of elements of symmetry in a cubic crystal is
(a) 9
(b) 23
(c) 9
(d) none of these | 1 |
Can a couple live comfortably on $11,000 a month in New York City? | 0 |
33. Number of positional isomers of given compound with 6 membered aromatic ring are :
(A) 3
(B) 4
(C) 5
(D) 6 | 1 |
Which is the easiest programming language to learn? | 0 |
2.30 Calculate the amount of benzoic acid $\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{COOH}\right)$ required for preparing 250 mL of 0.15 M solution in methanol. | 1 |
28. Among the following, the paramagnetic compound is
(a) $\mathrm{Na}_{2} \mathrm{O}_{2}$
(b) $\mathrm{O}_{3}$
(c) $\mathrm{N}_{2} \mathrm{O}$
(d) $\mathrm{KO}_{2}$ | 1 |
16. A non-uniform wire of length $L$ and mass $M$ has a variable linear mass density given by $\mu=k x$, where $x$ is distance from one end of wire and $k$ is a constant. Find the time taken by a pulse starting at one end to reach the other end when the tension in the wire is $T$. | 1 |
What percentage of the children in Hyderabad city had basic vaccinations in 2005? | 0 |
How do I learn web development as quickly as possible? | 0 |
Does majoring in non-CS fields limit your chances to work as a software engineer? | 0 |
My 15-year-old daughter told me she was "disappointed" in me as a mother. What should I do? | 0 |
Do you use Instagram? | 0 |
Why does a volcano erupt? | 0 |
What are some free accounting softwares? | 0 |
8. A steel frame $\left(K=45 \mathrm{~W} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}\right)$ of total length $60 \mathrm{~cm}$ and cross sectional area $0.20 \mathrm{~cm}^{2}$, forms three sides of a square. The free ends are maintained at $20^{\circ} \mathrm{C}$ and $40^{\circ} \mathrm{C}$. Find the rate of heat flow ... | 1 |
What is white skin privilege? | 0 |
What are good social media websites? | 0 |
23. The SI unit of the inductance, the henry can by written as
(a) weber/ampere
(b) volt-second/ampere
(c) joule/(ampere) $)^{2}$
(d) ohm-second | 1 |
1. The net heat absorbed by the gas in the given cycle is
(a) $p V$
(b) $\frac{p V}{2}$
(c) $2 p V$
(d) $4 p V$ | 1 |
17. The total number of optically active compounds formed in the following reaction is:
(a) Zero
(b) Six
(c) Four
(d) Two | 1 |
How do I gain some healthy weight? | 0 |
27. A source emitting a sound of frequency $f$ is placed at a large distance from an observer. The source starts moving towards the observer with a uniform acceleration $a$. If the frequency heard by the observer corresponding to the wave emitted just after the source starts is $\frac{p v f^{2}}{2 v f-a}$. Find the val... | 1 |
2. If a student is selected at random, then the probability that he has passed the examination is
a. $1 / 7$
b. $11 / 35$
c. $11 / 14$
d. none of these | 1 |
4. Three liquids $A, B$ and $C$ having same specific heats have masses $m, 2 m$ and $3 m$. Their temperatures are, $\theta, 2 \theta$ and $3 \theta$ respectively. For temperature of mixture, match the following two columns.
| Column I | Column II |
| :--- | :--- |
| (a) When $A$ and $B$ are mixed | (p) $\frac{5}{2} \t... | 1 |
What are good things to do right before going to bed at night? | 0 |
20. A spring of force constant $k$ is cut in two parts at its one-third length. When both the parts are stretched by same amount. The work done in the two parts will be
(a) equal in both
(b) greater for the longer part
(c) greater for the shorter part
(d) data insufficient
Note. Spring constant of a spring is inversel... | 1 |
10. If $\log _{1 / 2}(4-x) \geq \log _{1 / 2} 2-\log _{1 / 2}(x-1)$, then $x$ belongs to
a. $(1,2]$
b. $[3,4)$
c. $(1,3]$
d. $[1,4)$ | 1 |
How many 6 digit palindrome numbers can be formed by using digits 1, 2, 3, 4, 5 and 6? | 0 |
9. Let $f(x)=|x-2|$ and $g(x)=\underbrace{f(f(f(f \ldots(f(x)))) \ldots)}_{n \text { time }}$. If the equation for, $k \in(0,2)$ then
(a) $g(x)=k$ has 8 distinct solutions then $n=4$
(b) $g(x)=k$ has 11 distinct solutions then $n=5$
(c) $g(x)=k$ has 6 distinct solutions then $n=3$
(d) $g(x)=k$ has 7 distinct solutions ... | 1 |
1. $\frac{d y}{d x}+\frac{1}{x}=\frac{e^{y}}{x^{2}}$ | 1 |
How can I replace the transfer case for a BMW X3? | 0 |
16. Within each pair of elements $\mathrm{F}$ \& $\mathrm{Cl}, \mathrm{S} \& \mathrm{Se}$, and $\mathrm{Li} \& \mathrm{Na}$, respectively, the elements that release more energy upon an electron gain are:
(a) $\mathrm{Cl}, \mathrm{Se}$ and $\mathrm{Na}$
(b) $\mathrm{Cl}, \mathrm{S}$ and $\mathrm{Li}$ (c) F, S and Li
(d... | 1 |
30. Which of the following series correctly represents relations between the elements from $\mathrm{X}$ to $\mathrm{Y}$ ?
$\mathrm{X} \rightarrow \mathrm{Y}$
(a) ${ }_3 \mathrm{Li} \rightarrow{ }_{19} \mathrm{~K}$ Ionization enthalpy increases
(b) ${ }_9 \mathrm{~F} \rightarrow{ }_{35} \mathrm{Br}$ Electron gain entha... | 1 |
38. The electric field at a distance $2 \mathrm{~cm}$ from the centre of a hollow spherical conducting shell of radius $4 \mathrm{~cm}$ having a charge of $2 \times 10^{-3} \mathrm{C}$ on its surface is
(a) $1.1 \times 10^{10} \mathrm{~V} / \mathrm{m}$
(b) $4.5 \times 10^{-10} \mathrm{~V} / \mathrm{m}$
(c) $4.5 \times ... | 1 |
Where can I watch the YouTube Music Awards? | 0 |
110. The range of the function $f(x)=\int_{-1}^{1} \frac{\sin x d t}{\left(1-2 t \cos x+t^{2}\right)}$ is
a. $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$
b. $[0, \pi]$
c. $\{0, \pi\}$
d. $\left\{-\frac{\pi}{2}, \frac{\pi}{2}\right\}$ | 1 |
What paradox states that if a god can't create a stone so heavy he can't lift it? | 0 |
13. In the following reactions, $\mathrm{ZnO}$ is respectively acting as a/an:
(i) $\mathrm{ZnO}+\mathrm{Na}_{2} \mathrm{O} \rightarrow \mathrm{Na}_{2} \mathrm{ZnO}_{2}$
(ii) $\mathrm{ZnO}+\mathrm{CO}_{2} \rightarrow \mathrm{ZnCO}_{3}$
(a) base and acid
(b) base and base
(c) acid and acid
(d) acid and base | 1 |
22. A particle of mass $m_{0}$, travelling at speed $v_{0}$, strikes a stationary particle of mass $2 m_{0}$. As a result the particle of mass $m_{0}$ is deflected through $45^{\circ}$ and has a final speed of $\frac{v_{0}}{\sqrt{2}}$. Then the speed of the particle of mass $2 m_{0}$ after this collision is
(a) $\frac{... | 1 |
15. The roots of this equation lie on a certain circle if
a. $-1<\lambda<1$
b. $\lambda>1$
c. $\lambda<1$
d. none of these | 1 |
(i) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Cl}+\mathrm{NaI} \xrightarrow[\text { heat }]{\text { acetone }}$ | 1 |
6. In a $\triangle A B C$, among the following which one is true?
(a) $(b+c) \cos \frac{A}{2}=a \sin \frac{B+C}{2}$
(b) $(b+c) \cos \frac{B+C}{2}=a \sin \frac{A}{2}$
(c) $(b-c) \cos \frac{B-C}{2}=a \cos \frac{A}{2}$
(d) $(b-c) \cos \frac{A}{2}=a \sin \frac{B-C}{2}$ | 1 |
Who wrote the National Anthem of India? | 0 |
Where could El Chapo be now? | 0 |
How do we start preparing c language? | 0 |
11. Let $\vec{a}=2 i+j+k, \vec{b}=i+2 j-k$ and a unit vector $\vec{c}$ be coplanar. If $\vec{c}$ is perpendicular to $\vec{a}$, then $\vec{c}$ is
a. $\frac{1}{\sqrt{2}}(-j+k)$
b. $\frac{1}{\sqrt{3}}(-i-j-k)$
c. $\frac{1}{\sqrt{5}}(i-2 j)$
d. $\frac{1}{\sqrt{3}}(i-j-k)$ | 1 |
1. Which of the following pairs is correctly matched?
\section*{Column I}
P. Paraffins
Q. Olefins
R. Di-olefins
S. Di-paraffins
T. Poly-olefins
U. Poly-paraffins
(A) P-1 Q-2 R-4 T-5
(B) P-1 Q-2 R-4 T-5
(C) P-2 Q-1 S-4 U-5
(D) P-2 Q-1 S-4 U-5 | 1 |
9. Amylopectin is composed of :
[Main April 10, $2019(\mathrm{I})]$
(a) $\square$-D-glucose, $\mathrm{C}_{1}-\mathrm{C}_{4}$ and $\mathrm{C}_{1}-\mathrm{C}_{6}$ linkages
(b) $\beta$-D-glucose, $\mathrm{C}_{1}-\mathrm{C}_{4}$ and $\mathrm{C}_{2}-\mathrm{C}_{6}$ linkages
(c) $\beta$-D-glucose, $\mathrm{C}_{1}-\mathrm... | 1 |
Where do I start machine learning from? | 0 |
37. A piston filled with 0.04 mole of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of $37^{\circ} \mathrm{C}$. As it does so it absorbs 208 J of heat. The value of $q$ and $W$ for the process will be $(R=8.314 \mathrm{~J} / \mathrm{mol} \mathrm{K}, \ln 7.5=2.01)$
(a) $q=+208 \mathrm{... | 1 |
1. It is known that $f(x)$ is an odd function in the interval 1 $[-p / 2, p / 2]$ and has a period $p$. Prove that $\int_{a}^{x} f(t) d t$ is also periodic function with the same period. | 1 |
What is the best practice for account management? | 0 |
70. Which of the following statements(s) is (are) correct?
(a) The $\mathrm{pH}$ of $1.0 \times 10^{-8} \mathrm{M}$ solution of $\mathrm{HCl}$ is 8
(b) The conjugate base of $\mathrm{H}_{2} \mathrm{PO}_{4}^{-}$is $\mathrm{HPO}_{4}^{2-}$
(c) Autoprotolysis constant of water increases with temperature
(d) When a so... | 1 |
How do I remove dark circles below eyes naturally? | 0 |
What are some suggestions for the best institution in Chennai for web designing? | 0 |
What is it mean when a Honeywell thermostat is in recovery mode? | 0 |
(ii) 3 Kings | 1 |
1. A particle of mass $2 \mathrm{~kg}$ moves in simple harmonic motion and its potential energy $U$ varies with position $x$ as shown. The period of oscillation of the particle is
(a) $\frac{2 \pi}{5} \mathrm{~s}$
(b) $\frac{2 \sqrt{2} \pi}{5} \mathrm{~s}$
(c) $\frac{\sqrt{2} \pi}{5} \mathrm{~s}$
(d) $\frac{4 \pi}{5} \... | 1 |
How is life as a junior college student? | 0 |
- For each pair of compounds below, predict which will be more acidic.
(i) $\mathrm{HCl} ; \mathrm{HBr}$
(ii) $\mathrm{H}_{2} \mathrm{O} ; \mathrm{H}_{2} \mathrm{~S}$
(iii) $\mathrm{NH}_{3} ; \mathrm{CH}_{4}$
(iv) 
(I)
(II)
=2 / 15$ and $P(A \cap \bar{B})=1 / 6$, then $P(B)$ is
a. $1 / 5$
b. $1 / 6$
c. $4 / 5$
d. $5 / 6$ | 1 |
Example 5.106 In how many ways can we get a sum of at most 17 by throwing six distinct dice. | 1 |
Why do we like to interact with other people? | 0 |
What is the biggest mistake of life? | 0 |
What's the best poem you've written? | 0 |
How can I lose weight quickly? | 0 |
3. For a particle undergoing simple harmonic motion, the velocity is plotted against displacement. The curve will be
(a) a straight line
(b) a parabola
(c) a circle
(d) an ellipse | 1 |
(iii) benzyl ethyl ether. | 1 |
8. Let $W=\frac{\sqrt{3}+i}{2}$ and $P=\left\{W^{n}: n=1,2,3, \ldots\right\}$.
Further $H_{1}=z \in C: \operatorname{Re}(z)>\frac{1}{2}$
and $H_{2}=z \in C: \operatorname{Re}(z)<\frac{-1}{2}$, where $C$ is the set of all complex numbers. If $z_{1} \in P \cap H_{1}, z_{2} \in P \cap H_{2}$ and $O$ represents the origi... | 1 |
9. The bond order of individual carbon-carbon bonds in benzene is
$[1981]$
(a) one
(b) two
(c) between one and two
(d) one and two, alternately | 1 |
2. (a) Which oxygen atom has the greater electron density $\mathrm{CH}_3 \mathrm{COCH}_3$
(b) Which compound has the greater electron density on its nitrogen atom  (c) Which compound has the greater electron density on its oxygen atom $ is
(A) $(2 \sqrt{2}, 4)$
(B) $(2 \sqrt{2}, 0)$
(C) $(0,0)$
(D) $(2,2)$ | 1 |
10. A conducting loop in the shape of a right angled isosceles triangle of height $10 \mathrm{~cm}$ 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. Th... | 1 |
Who did Sony partner with to create the biggest deal ever? | 0 |
14. When propyne is treated with aqueous $\mathrm{H}_{2} \mathrm{SO}_{4}$ in presence of $\mathrm{HgSO}_{4}$ the major product is
[1983 - 1 Mark]
(a) propanal
(b) propyl hydrogensulphate
(c) acetone
(d) propanol | 1 |
Revenge is good or not? | 0 |
16. Chlorine acts as a bleaching agent only in presence of
(a) dry air
(b) moisture
(c) sunlight
(d) pure oxygen | 1 |
What is the first step in starting a business? | 0 |
21. Two trains are moving with velocities $v_{1}=10 \mathrm{~ms}^{-1}$ and $v_{2}=20 \mathrm{~ms}^{-1}$ on the same track in opposite directions. After the application of brakes if their retarding rates are $a_{1}=2 \mathrm{~ms}^{-2}$ and $a_{2}=1 \mathrm{~ms}^{-2}$ respectively, then the minimum distance of separation... | 1 |
What would you do if you found your bf talking to girls on the Internet? | 0 |
What should be my strategy to score more than 90% marks in the 12th class board exam in 3 months only from cbse bord? | 0 |
What movement did the division of Bengal start? | 0 |
31. Suppose that $F(x)$ is an anti-derivative of $f(x)=\frac{\sin x}{x}$ where $x>0$, then $\int_{1}^{3} \frac{\sin 2 x}{x} d x$ can be expressed as
a. $F(6)-F(2)$
b. $\frac{1}{2}(F(6)-F(2))$
c. $\frac{1}{2}(F(3)-F(1))$
d. $2(F(6)-F(2))$ | 1 |
What do members of the Bahá'í Faith call God? | 0 |
Example 7.10 Evaluate $\int \sin ^{3} x d x$. | 1 |
Who composed the Benedictine Rule? | 0 |
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