Question stringlengths 2 3k | label int64 0 1 |
|---|---|
Will the 2000 note be demonetized on 31 December 2016? | 0 |
How is Airbnb? | 0 |
Who took over after the preliminary phase? | 0 |
12. Which of the following compounds is oxidised to prepare methyl ethyl ketone?
(a) 2-Propanol
(b) 1-Butanol
(c) 2-Butanol
(d) t-Butyl alcohol | 1 |
1. A tuning fork of frequency $480 \mathrm{~Hz}$ is used in an experiment for measuring speed of sound $(v)$ in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column $l_{1}=30 \mathrm{~cm}$ and $l_{2}=70 \mathrm{~cm}$.
Then, $v$ is equal to
(a) $332 \mathrm{~ms}^{-1}$... | 1 |
39. $I_{1}=\int_{0}^{\frac{\pi}{2}} \frac{\sin x-\cos x}{1+\sin x \cos x} d x, I_{2}=\int_{0}^{2 \pi} \cos ^{6} x d x$, $I_{3}=\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin ^{3} x d x, I_{4}=\int_{0}^{1} \ln \left(\frac{1}{x}-1\right) d x$, then
a. $I_{2}=I_{3}=I_{4}=0, I_{1} \neq 0$
b. $I_{1}=I_{2}=I_{3}=0, I_{4} \neq 0$... | 1 |
What movement lead to the founding of the Republic of India? | 0 |
77. The sum of rational term in $(\sqrt{2}+\sqrt[3]{3}+\sqrt[6]{5})^{10}$ is equal to
a. 12632
b. 1260
c. 126
d. none of these | 1 |
7. The sum of all the solutions of the equation $\cos \theta \cos \left(\frac{\pi}{3}+\theta\right) \cos \left(\frac{\pi}{3}-\theta\right)=\frac{1}{4}, \theta \in[0,6 \pi]$
a. $15 \pi$
b. $30 \pi$
c. $\frac{100 \pi}{3}$
d none of these | 1 |
Ex. 31. A current of 10 A is applied for 1 h to 1 litre of a solution containing 1 mole of HCl . Calculate the pH of the solution at the end of this time. | 1 |
5. Let $I=\int_{1}^{3} \sqrt{3+x^{3}} d x$, then the values of $I$ will lie in the interval
a. $[4,6]$
b. $[1,3]$
c. $[4,2 \sqrt{30}]$
d. $[\sqrt{15}, \sqrt{30}]$ | 1 |
When was the History of the Florentine People published? | 0 |
9. The probability of the drawn ball from $U_{2}$ being white, is
(a) $\frac{13}{30}$
(b) $\frac{23}{30}$
(c) $\frac{19}{30}$
(d) $\frac{11}{30}$ | 1 |
2. A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to $\frac{1}{1000}$ of the original amplitude is close to
(2019 Main, 8 April II)
(a) $20 \mathrm{~s}$
(b) $50 \mathrm{~s}$
(c) $100 \mathrm{~s}$
... | 1 |
12. A ball kept in a closed box moves in the box making
collisions with the walls. The box is kept on a smooth
surface. The velocity of the centre of mass
(a) of the box remains constant
(b) of the box plus the ball system remains constant
(c) of the ball remains constant
(d) of the ball relative to the box remains con... | 1 |
Does an engineer in India with only a B.E. degree have any value? | 0 |
13. Statement 1: Number of ways in which two persons $A$ and $B$ select objects from two different groups each having 20 different objects such that $B$ selects always more objects than $A$ (including the case when $A$ selects no object) is ( $\left.2^{40}-{ }^{40} C_{20}\right) / 2$.
Statement 2: The sum $\sum_{0 \le... | 1 |
What is the best way of starting a T-shirt printing business from scratch? | 0 |
Why do I feel so weak after masturbation? | 0 |
How can I calm myself down and stop stressing? | 0 |
21. The difference between the least and the greatest moduli of complex numbers is
a. 2
b. 4
c. 1
d. 3 | 1 |
Is there a way to learn programming language quickly? How can I do it? | 0 |
43. A parallel plate air capacitor is connected to a battery. The quantities charge, voltage, electric field and energy associated with this capacitor are given by $Q_{0}, V_{0}, E_{0}$ and $U_{0}$ respectively. A dielectric slab is now introduced to fill the space between the plates with the battery still in connectio... | 1 |
What is the longest roller coaster in the United Kingdom and how does it compare to the longest roller coaster in China? | 0 |
Which coaching is better for IIT JEE PMT? | 0 |
7. A system of two identical rods ( $L$-shaped) of mass $m$ and length $l$ are resting on a peg $P$ as shown in the figure. If the system is displaced in its plane by a small angle $\theta$, find the period of oscillations
: Can a coin flip be predicted? | 0 |
Should I marry the man who is kind but with a different view of money? | 0 |
Why do I have double vision? | 0 |
What's it like to be mistaken for being a different ethnicity than you actually are? | 0 |
5. Show that $\left|\begin{array}{ccc}1 & 1+p & 1+p+q \\ 2 & 3+2 p & 1+3 p+2 q \\ 3 & 6+3 p & 10+6 p+3 q\end{array}\right|=1$. | 1 |
What happens to matter when it gets sucked by a black hole? | 0 |
23. The correct match between Item I and Item II is:
| | Item I | | Item II |
|:-----:|------------------------|:-----:|-------------------------------------------------------|
| (A) | Allosteric effect | (P) | Molecule binding to the acti... | 1 |
Who was Duke of Normandy in 1066? | 0 |
(i) Acetylation | 1 |
5. Impedance of box $P$ at the above frequency is
(a) $70 \Omega$
(b) $77 \Omega$
(c) $90 \Omega$
(d) $100 \Omega$ | 1 |
What policy made the Mughals a successful dynasty? | 0 |
58. $f(x)=\frac{\cos x}{\left[\frac{2 x}{\pi}\right]+\frac{1}{2}}$, where $x$ is not an integral multiple of $\pi$ and [.] denotes the greatest integer function is
a. An odd function
b. Even function
c. Neither odd nor even
d. None of these | 1 |
How is evolution applied to textual criticism? | 0 |
Regulations normally carry the force of what? | 0 |
Who are the top 100 richest people in world? | 0 |
21. A galvanic cell was operated under almost ideally reversible conditions at a current of $10^{-16} \mathrm{amp}$. How long would it take to deliver 1 mole of electrons?
(a) $9.65 \times 10^{20} \mathrm{~s}$
(b) $96,500 \mathrm{~s}$
(c) $9.65 \times 10^{-12} \mathrm{~s}$
(d) none of these | 1 |
How can you gain followers on Twitter ethically? | 0 |
Is there a way to set up an automated WhatsApp sending messages? | 0 |
How long does did it take for the Sputnik 1 to orbit the earth? | 0 |
36. The ring $B$ is coaxial with a solenoid $A$ as shown in figure. As the switch $S$ is closed at $t=0$, the ring $B$
(a) is attracted towards $A$
(b) is repelled by $A$
(c) is initially repelled and then attracted
(d) is initially attracted and then repelled
 $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{NH}_{2}+\mathrm{Br}_{2}(\mathrm{aq}) \rightarrow$ | 1 |
What dynasty conquered southern India and parts of southeast Asia? | 0 |
5. $\frac{3 x}{1+2 x^{4}}$ | 1 |
20. One mole of a non-ideal gas undergoes a change of state (2.0 atm, $3.0 \mathrm{~L}, 95 \mathrm{~K}) \rightarrow(4.0 \mathrm{~atm}, 5.0 \mathrm{~L}, 245 \mathrm{~K})$ with a change in internal energy, $\Delta U=30.0 \mathrm{~L}$ atm. The change in enthalpy $(\Delta H)$ of the process in $\mathrm{L}$ atm capacity of ... | 1 |
How can I get started in learning penetration testing and DDoS? | 0 |
Why when I suddenly stand up does my vision go black gradually with sudden dizziness for a few seconds? | 0 |
7.69 Equal volumes of 0.002 M solutions of sodium iodate and cupric chlorate are mixed together. Will it lead to precipitation of copper iodate? (For cupric iodate $\left.K_{\mathrm{sp}}=7.4 \times 10^{-8}\right)$ | 1 |
10 Manufacturers of wire (and other objects of small dimension) sometimes use a laser to continually monitor the thickness of the product. The wire intercepts the laser beam, producing a diffraction pattern like that of a single slit of the same width as the wire diameter (Fig. 36-37). Suppose a helium-neon laser, of w... | 1 |
Real Estate Rentals: Is there any place to rent a Houseboat in the Los Angeles area? | 0 |
How can I apply for offcampus internship? | 0 |
3. Evaluate the following integrals:
$$
\text { a. } \int \sqrt{1+\sin \left(\frac{x}{2}\right)} d x \quad \text { b. } \int \frac{x^{2}}{\sqrt{1-x}} d x
$$ | 1 |
How do you say "tomorrow" in Japanese? | 0 |
22. Which one of the following substances used in dry cleaning is a better strategy to control environmental pollution?
(a) Sulphur dioxide
(b) Carbon dioxide
(c) Nitrogen dioxide
(d) Tetrachloroethylene | 1 |
36. Element $A$ burns in nitrogen to give an ionic compound $B$. Compound $B$ reacts with water to give $C$ and $D$. A solution of $C$ becomes ' milky' on bubbling carbon dioxide. Identify $A, B, C$ and $D$. | 1 |
9. If the expression $x^{2}+2(a+b+c) x+3(b c+c a+a b)$ is a perfect square, then
a. $a=b=c$
b. $a= \pm b= \pm c$
c. $a=b \neq c$
d. none of these | 1 |
9. A proton of charge $e$ and mass $m$ enters a uniform magnetic field $\mathbf{B}=B \hat{\mathbf{i}}$ with an initial velocity $\mathbf{v}=v_{x} \hat{\mathbf{i}}+v_{y} \hat{\mathbf{j}}$. Find an expression in unit vector notation for its velocity at time $t$. | 1 |
When was John Cabot's voyage commissioned? | 0 |
What type of foods are generally thought of as a part of Hyderabadi cuisine? | 0 |
1 Discuss the pattern of variation in the oxidation states of
(i) B to Tl and (ii) C to Pb | 1 |
What types of cases did federal district courts receive in 2010? | 0 |
What are some of the most mind-blowing facts about the United States? | 0 |
63. The maximum value of the function $f(x)=\frac{(1+x)^{0.6}}{1+x^{0.6}}$ in the interval $[0,1]$ is
a. $2^{0.4}$
b. $2^{-0.4}$
c. 1
d. $2^{0.6}$ | 1 |
6. The solution of $x^{2} y_{1}^{2}+x y y_{1}-6 y^{2}=0$ are
(a) $y=c x^{2}$
(b) $x^{2} y=c$
(c) $\frac{1}{2} \log y=c+\log x$
(d) $x^{3} y=c$ | 1 |
How close is current American law to English law? | 0 |
14. If the temperature of water is increased from $25^{\circ} \mathrm{C}$ to $45^{\circ} \mathrm{C}$, the pH of water at $45^{\circ} \mathrm{C}$ will be
(a) 7
(b) slightly greater than 7
(c) $<7$
(d) 8 | 1 |
What are the best matrimonial sites in India? | 0 |
63. $\sin x+\cos x=y^{2}-y+a$ has no value of $x$ for any value of $y$ if $a$ belongs to
a. $(0, \sqrt{3})$
$\mathbf{h}(-\sqrt{3}, 0)$
c. $(-\infty,-\sqrt{3})$
d. $(\sqrt{3}, \infty)$ | 1 |
In the United States what is considered the single most important factor in a child's education? | 0 |
2. $1^{3}+2^{3}+3^{3}+\ldots+n^{3}=\left(\frac{n(n+1)}{2}\right)^{2}$. | 1 |
Who ruled the Maratha Empire? | 0 |
16. The half-life period of a radioactive element $x$ is same as the mean life time of another radioactive element $y$. Initially both of them have the same number of atoms. Then
(a) $x$ and $y$ have the same decay rate initially
(b) $x$ and $y$ decay at the same rate always
(c) $y$ will decay at a faster rate tha... | 1 |
How can I earn money online from home only? | 0 |
Should we believe in horoscope? | 0 |
How many tons of marble does Greece produce? | 0 |
Can we do MBA after CA? | 0 |
25. The frequency of an alternating current is $50 \mathrm{~Hz}$. The minimum time taken by it in reaching from zero to peak value is
(a) $5 \mathrm{~ms}$
(b) $10 \mathrm{~ms}$
(c) $20 \mathrm{~ms}$
(d) $50 \mathrm{~ms}$ | 1 |
(e) $y=2 x-4$ | 1 |
8. For the arrangement shown in figure the coefficient of friction between the two blocks is $\mu$. If both the blocks are identical and moving, then the acceleration of each block is
(a) $\frac{F}{2 m}-2 \mu g$
(b) $\frac{F}{2 m}$
(c) $\frac{F}{2 m}-\mu g$
(d) zero
 Increase in average molecular speed
(b) Increased rate of collisions amongst molecules
(c) Increase in molecular attraction
(d) Decrease in mean free path | 1 |
15.
$$
\text { 15. The range of } f(x)=\sin ^{-1}\left(\frac{x^{2}+1}{x^{2}+2}\right) \text { is }
$$
a. $[0, \pi / 2]$
b. $(0, \pi / 6)$
c. $[\pi / 6, \pi / 2)$
d. None of these | 1 |
6. A convex lens of focal length 40 cm is held co-axially 12 cm above a mirror of focal length 18 cm . An object held $x \mathrm{~cm}$ above the lens gives rise to an image coincident with it. Then $x$ is equal to :
(a) 12 cm
(b) 15 cm
(c) 18 cm
(d) 30 cm
 Pressure, Young's modulus, Stress
(b) Emf, Potential difference, Electric potential
(c) Heat, Work done, Energy
(d) Dipole moment, Electric flux, Electric field | 1 |
Where is corruption even more prevalent? | 0 |
How can I upgrade from Android KitKat to Marshmallow? | 0 |
What is the best workout plan to build muscle? | 0 |
When did Subhash Chandra Bose die? | 0 |
3. The number of bonds between sulphur and oxygen atoms in and the number of bonds between sulphur and sulphur atoms in rhombic sulphur, respectively, are:
(a) 4 and 6
(b) 8 and 8
(c) 8 and 6
(d) 4 and 8 | 1 |
2. If $\int \sin x d(\sec x)=f(x)-g(x)+c$, then
a. $f(x)=\sec x$
b. $f(x)=\tan x$
c. $g(x)=2 x$
d. $g(x)=x$ | 1 |
4.5 What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of $30^{\circ}$ with the direction of a uniform magnetic field of 0.15 T ? | 1 |
68. The maximum value of the expression
$\frac{1}{\sin ^{2} \theta+3 \sin \theta \cos \theta+5 \cos ^{2} \theta}$ is ...... | 1 |
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