Question stringlengths 2 3k | label int64 0 1 |
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How is the word 'balk' used in a sentence? | 0 |
11. If $S$ is the set of all real $x$ such that $\frac{2 x-1}{2 x^{3}+3 x^{2}+x}$ is positive, then $S$ contains
(1986, 2M)
(a) $-\infty,-\frac{3}{2}$
(b) $-\frac{3}{2},-\frac{1}{4}$
(c) $-\frac{1}{4}, \frac{1}{2}$
(d) $\frac{1}{2}, 3$ | 1 |
What changes were made for the commercial publication of Maggie? | 0 |
What was the period of Britain acting as the world's police called? | 0 |
How much of Greece's energy is targeted to be from renewable sources by 2020? | 0 |
Can we have sex in periods? | 0 |
3. Find the range of $f(x)=\cot ^{-1}\left(2 x-x^{2}\right)$. | 1 |
South central Hyderabad is generally the home to what attractions? | 0 |
8. The critical temperature of water is higher than that of $\mathrm{O}_{2}$ because the $\mathrm{H}_{2} \mathrm{O}$ molecule has
(a) fewer electrons than $\mathrm{O}_{2}$
(b) two covalent bonds
(c) V-shape
(d) dipole moment. | 1 |
43. An unknown sample weighing 1.5 g was found to contain only Mn and S. The sample was completely reacted with oxygen and it produced 1.22 g of $\mathrm{Mn}(\mathrm{II})$ oxide and 1.38 g of $\mathrm{SO}_3$. What is the simplest formula for this compound? (MnS) | 1 |
2. The temperature of 20 litres of nitrogen was increased from 100 K to 300 K at a constant pressure. Change in volume will be
(a) 80 litres
(b) 60 litres
(c) 40 litres
(d) 20 litres | 1 |
57. $\sum_{r=1}^{n} \tan ^{-1}\left(\frac{2^{r-1}}{1+2^{2 r-1}}\right)$ is equal to
a. $\tan ^{-1}\left(2^{n}\right)$
b. $\tan ^{-1}\left(2^{n}\right)-\frac{\pi}{4}$
c. $\tan ^{-1}\left(2^{n+1}\right)$
d. $\tan ^{-1}\left(2^{n+1}\right)-\frac{\pi}{4}$ | 1 |
How many people use hashtags on Twitter? | 0 |
2. The set of values of $\theta$ satisfying the inequation $2 \sin ^{2} \theta-5 \sin \theta+2>0$, where $0<\theta<2 \pi$, is
(2006, 3M)
(a) $0, \frac{\pi}{6} \cup \frac{5 \pi}{6}, 2 \pi$
(b) $0, \frac{\pi}{6} \cup \frac{5 \pi}{6}, 2 \pi$
(c) $0, \frac{\pi}{3} \cup \frac{2 \pi}{3}, 2 \pi$
(d) None of the above | 1 |
9. The harmonic mean of the roots of the equation $(5+\sqrt{2}) x^{2}$ $-(4+\sqrt{5}) x+8+2 \sqrt{5}=0$ is $\begin{array}{ll}\text { a. } 2 & \text { b. } 4 \\ \text { c. } 6 & \text { d. } 8\end{array}$ | 1 |
33.
Number of resonating structures of the given compound are?
(A) 5
(B) 6
(C) 7
(D) 8 | 1 |
What is worth living for, after all? | 0 |
48. Find the area of the region bounded by the curve $C: y=\tan x$, tangent drawn to $C$ at $x=\pi / 4$ and the $X$-axis. | 1 |
33. A solution containing 10.2 g of glycerene per litre is found to be isotonic with a $2 \%$ solution of glucose. Calculate the molecular weight of glycerene (mol. wt. of glucose = 180). | 1 |
22. In an experiment for determination of refractive index of glass of a prism by $i-\delta$, plot it was found that a ray incident at angle $35^{\circ}$, suffers a deviation of $40^{\circ}$ and that it emerges at angle $79^{\circ}$. In that case which of the following is closest to the maximum possible value of the re... | 1 |
Calculate the overall order of a reaction which has the rate expression
(a) Rate $=k[\mathrm{~A}]^{1 / 2}[\mathrm{~B}]^{3 / 2}$
(b) Rate $=k[\mathrm{~A}]^{3 / 2}[\mathrm{~B}]^{-1}$ | 1 |
How is Roger Federer off the court? | 0 |
What does God think about a country that kills with drones? | 0 |
11. If $(1,1)$ is point of contact, then $a$ is
a. $\frac{1}{4}$
b. $\frac{1}{3}$
c. $\frac{1}{2}$
d. $\frac{1}{6}$ | 1 |
What airlines was award the "Best regional airline in Europe" award by Skytrax? | 0 |
Is there an anime app to watch anime on an iPad? | 0 |
21. A uniform rod of length $L$ and mass $m$ is free to rotate about a frictionless pivot at one end as shown in figure. The rod is held at rest in the horizontal position and a coin of mass $m$ is placed at the free end. Now the rod is released. The reaction on the coin immediately after the rod starts falling is
(a) ... | 1 |
8. In the following reaction sequence in aqueous solution, the species $X$, $Y$ and $Z$, respectively, are
(a) $\left[\mathrm{Ag}\left(\mathrm{S}_{2} \mathrm{O}_{3}\right)_{2}\right]^{3-}, ... | 1 |
89. The three sides of a trapezium are equal, each being $8 \mathrm{~cm}$. The area of the trapezium, when it is maximum, is
a. $24 \sqrt{3}$ sq. $\mathrm{cm}$
b. $48 \sqrt{3}$ sq. $\mathrm{cm}$
c. $72 \sqrt{3}$ sq. $\mathrm{cm}$
d. None of these | 1 |
What is hedge fund strategy? | 0 |
23. A solid sphere, a hollow sphere and a disc, all having same mass and radius, are placed at the top of a smooth incline and released. Least time will be taken in reaching the bottom by
(a) the solid sphere
(b) the hollow sphere
(c) the disc
(d) all will take same time. | 1 |
2. $2 \tan ^{-1}(-2)$ is equal to
a. $-\cos ^{-1}\left(\frac{-3}{5}\right)$
$\mathbf{h}-\pi+\cos ^{-1} \frac{3}{5}$
c. $-\frac{\pi}{2}+\tan ^{-1}\left(-\frac{3}{4}\right)$
$\mathbf{d}-\pi+\cot ^{-1}\left(-\frac{3}{4}\right)$ | 1 |
4. For an $R-L-C$ circuit driven with voltage of amplitude $v_{m}$ and frequency $\omega_{0}=\frac{1}{\sqrt{L C}}$, the current exhibits resonance. The quality factor, $Q$ is given by
(a) $\frac{C R}{\omega_{0}}$
(b) $\frac{\omega_{0} L}{R}$
(c) $\frac{\omega_{0} R}{L}$
(d) $\frac{R}{\omega_{0} C}$ | 1 |
1. A body of weight $w_{1}$ when floats in water displaces an amount of water $w_{2}$. Then $w_{1}<w_{2}$. Is this statement true or false? | 1 |
43. Which compound is formed when excess of $\mathrm{KCN}$ is added to aqueous solution of copper sulphate?
(a) $\mathrm{Cu}(\mathrm{CN})_{2}$
(b) $\mathrm{K}_{2}\left[\mathrm{Cu}(\mathrm{CN})_{4}\right]$
(c) $\mathrm{K}\left[\mathrm{Cu}(\mathrm{CN})_{2}\right]$
(d) $\mathrm{K}_{3}\left[\mathrm{Cu}(\mathrm{CN})_{4... | 1 |
Why did the KKK want black people dead? Why did they hate them so much? | 0 |
What category does NOMA fall under? | 0 |
Why do people ask basic questions instead of searching them? | 0 |
7. A ball falls vertically onto a floor with momentum $p$ and then bounces repeatedly. If coefficient of restitution is $e$, then the total momentum imparted by the ball to the floor is
(a) $p(1+e)$
(b) $\frac{p}{1-e}$
(c) $p \frac{1-e}{1+e}$
(d) $p \frac{1+e}{1-e}$ | 1 |
Can I lose weight without dieting? If yes, how? | 0 |
Do Hillary's superdelegates know that the polls show Bernie Sanders has a far better chance to win against Donald Trump? | 0 |
How does someone find a mentor? | 0 |
8. If $A B C D$ is a rhombus whose diagonals cut at the origin $O$, then prove that , $\overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}$ $=\vec{O}$. | 1 |
13. What is the molarity and molality of a $13 \%$ solution (by weight) of $\mathrm{H}_{2} \mathrm{SO}_{4}$ solution? Its density is $1.090 \mathrm{~g} / \mathrm{mL}$. To what volume should 100 mL of this acid be diluted in order to prepare 1.5 N solution?
(1.45 M, $1.52 \mathrm{~m}, 193.3 \mathrm{~mL}$ ) | 1 |
8. In the depletion region of a diode,
(a) there are no mobile charges
(b) equal number of holes and electrons exist, making the region neutral
(c) recombination of holes and electrons has taken place
(d) immobile charged ions exist. | 1 |
83 A generator with an adjustable frequency of oscillation is wired in series to an inductor of $L=2.50 \mathrm{mH}$ and a capacitor of $C=3.00 \mu \mathrm{F}$. At what frequency does the generator produce the largest possible current amplitude in the circuit? | 1 |
4. A student connects an ammeter $A$ and a voltmeter $V$ to measure a resistance $R$ as shown in figure. If the voltmeter reads $20 \mathrm{~V}$ and the ammeter reads $4 \mathrm{~A}$, then $R$ is
$ and a resistor $(R=0.15 \mathrm{k} \Omega)$ are connected in series to a battery of $15 \mathrm{~V}$ EMF in a circuit shown below. The key $K_{1}$ has been kept closed for a long time. Then at $t=0, K_{1}$ is opened and key $K_{2}$ is closed simultaneously. At $t=1 \mathrm{~ms}$, th... | 1 |
24. The range of values of ' $a$ ' such that angle $\theta$ between the pair of tangent drawn from $(a, 0)$ to the circle $x^{2}+y^{2}=1$ satisfies $\frac{\pi}{2}<\theta<\pi$, lies in
a. $(1,2)$
b. $(1, \sqrt{2})$
c. $(-\sqrt{2},-1)$
d. $(-2,-1)$ | 1 |
How do I get into ISRO? | 0 |
How can I make my browser extension viral ? | 0 |
What might be the reason if you were to divorce? | 0 |
16. The figure shows a spool placed at rest on a horizontal rough surface. A tightly wound string on the inner cylinder is pulled horizontally with a force $F$. Identify the correct alternative related to the friction force $f$ acting on the spool
(a) $f$ acts leftwards with $f<F$
(b) $f$ acts leftwards but nothing c... | 1 |
The Kushans ruled what part of the Indian subcontinent? | 0 |
How different is the French spoken in Africa from that spoken in Europe? | 0 |
Why was the KInsey scale developed? | 0 |
1. Shown in the figure is a shell made of a conductor. It has inner radius $a$ and outer radius $b$ and carries charge $Q$. At its centre is a dipole $\mathbf{p}$ as shown.
In this case,
x
... | 1 |
In what language was Almagest originally written? | 0 |
- 14 Figure 7-27 shows an overhead view of three horizontal forces acting on a cargo canister that was initially stationary but now moves across a frictionless floor. The force magnitudes are $F_{1}=3.00 \mathrm{~N}, F_{2}=$ 4.00 N , and $F_{3}=10.0 \mathrm{~N}$, and the indicated angles are $\theta_{2}=50.0^{\circ}$ a... | 1 |
10. If the line $x-1=0$ is the directrix of the parabola $y^{2}-k x+8=0$, then one of the values of $k$ is
(a) $\frac{1}{8}$
(b) 8
(c) 4
(d) $\frac{1}{4}$ | 1 |
What are the big, mega dance clubs in Singapore? | 0 |
2. Two identical beakers $A$ and $B$ contain equal volumes of two different liquids at $60^{\circ} \mathrm{C}$ each and left to cool down. Liquid in $A$ has density of $8 \times 10^{2} \mathrm{~kg} / \mathrm{m}^{3}$ and specific heat of $2000 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}$ while liquid in $B$ has density of $10^{3... | 1 |
27. The value of the integral $\int_{-1}^{3}\left(\tan ^{-1} \frac{x}{x^{2}+1}+\tan ^{-1} \frac{x^{2}+1}{x}\right) d x$ is equal to
a. $\pi$
b. $2 \pi$
c. $4 \pi$
d. None of these | 1 |
70. If $\lim _{x \rightarrow 0} \frac{\dot{x}^{n} \sin ^{n} x}{x^{n}-\sin ^{n} x}$ is non-zero finite, then $n$ is equal to
a. 1
b. 2
c. 3
d. None of these | 1 |
4. Transverse waves are generated in two uniform steel wires $A$ and $B$ by attaching their free ends to a fork of frequency $500 \mathrm{~Hz}$. The diameter of wire $A$ is half that of $B$ and tension in wire $A$ is half the tension in wire $B$. What is the ratio of velocities of waves in $A$ and $B$ ?
(a) $1: 2$
(b... | 1 |
The Mir Osman Ali Khan had a title, what was it? | 0 |
Does Coolpad Note 3 support VoLTE? | 0 |
10. If $(1+k) \tan ^{2} x-4 \tan x-1+k=0$ has real roots $\tan x_{1}$ and $\tan x_{2}$, then
(a) $\mathrm{k}^{2} \leq 5$
(b) $\tan \left(x_{1}+x_{2}\right)=2$
(c) for $\mathrm{k}=2, \mathrm{x}_{1}=\frac{\pi}{4}$
(d) for $\mathrm{k}=1, \mathrm{x}_{1}=0$ | 1 |
Is it possible to extract the sidebar code of the Blogger dynamic view (Sidebar) template and implement it in my Blogger template as a separate sidebar widget? | 0 |
Has Quora turned into a political hack for Clinton? | 0 |
In what direction were the writings on a palm leaf? | 0 |
Raisina Hill lay directly opposite what religious site? | 0 |
9. If $a, b, c, d$ are four unequal positive number which are in A.P then
(a) $\frac{1}{a}+\frac{1}{d}=\frac{1}{b}+\frac{1}{c}$
(b) $\frac{1}{a}+\frac{1}{d}<\frac{1}{b}+\frac{1}{c}$
(c) $\frac{1}{a}+\frac{1}{d}>\frac{1}{b}+\frac{1}{c}$
(d) $\frac{1}{b}+\frac{1}{c}>\frac{4}{a+d}$ | 1 |
14. 0.2614 g of an organic compound gave upon combustion 0.2324 g of $\mathrm{CO}_{2}$ and 0.0950 g of $\mathrm{H}_{2} \mathrm{O} .0 .1195 \mathrm{~g}$ of this compound gave 0.3470 g of AgCl . If the vapour density of the substance is 49.5 , calculate its molecular formula.
$\left(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{... | 1 |
Is grass really always greener on the other side? | 0 |
How do I write a letter to my school principal requesting a job appointment? | 0 |
Example 27.14 In the circuit diagram shown in figure, $R=10 \Omega, L=5 H$, $E=20 V, i=2$ A. This current is decreasing at a rate of $-1.0 \mathrm{~A} /$ s. Find $V_{a b}$ at this instant.
... | 1 |
2. Given $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g})=2 \mathrm{NH}_{3}(\mathrm{~g}) ; \Delta H^{0}=-22 \mathrm{kcal}$. The standard enthalpy of formation of $\mathrm{NH}_{3}$ gas is
(a) $-11 \mathrm{kcal} / \mathrm{mole}$
(b) $11 \mathrm{kcal} / \mathrm{mole}$
(c) $-22 \mathrm{kcal} / \mathrm{mole}$
(d) ... | 1 |
What do the double blue ticks in a WhatsApp group mean? | 0 |
(iv) $\left[\begin{array}{ll}\cos ^{2} x & \sin ^{2} x \\ \sin ^{2} x & \cos ^{2} x\end{array}\right]+\left[\begin{array}{ll}\sin ^{2} x & \cos ^{2} x \\ \cos ^{2} x & \sin ^{2} x\end{array}\right]$ | 1 |
33. The correct order of increasing $\mathrm{C}-\mathrm{O}$ bond length of $\mathrm{CO}, \mathrm{CO}_{3}^{2-}$, $\mathrm{CO}_{2}$, is
(a) $\mathrm{CO}_{3}^{2-}<\mathrm{CO}_{2}<\mathrm{CO}$
(b) $\mathrm{CO}_{2}<\mathrm{CO}_{3}^{2-}<\mathrm{CO}$
(c) $\mathrm{CO}<\mathrm{CO}_{3}^{2-}<\mathrm{CO}_{2}$
... | 1 |
6. A $4 \mathrm{~kg}$ block is attached to a vertical rod by means of two strings of equal length. When the system rotates about the axis of the rod, the strings are extended as shown in figure.
(a) How many revolutions per minute must the system make in order for the tension in the upper string to be $200 \mathrm{~N}... | 1 |
What process what used to study the gathered fragments? | 0 |
Example 7.3 A lamp is connected in series with a capacitor. Predict your observations for dc and ac connections. What happens in each case if the capacitance of the capacitor is reduced? | 1 |
Which is the best shaver trimmer (both in one) online in India? | 0 |
How is non-linear acceleration defined? | 0 |
What is the easiest way to learn java programming? | 0 |
How much will 32 GB Asus Zenfone 2 cost in India? | 0 |
How do I download a torrent with IDM more than 1gb file? | 0 |
7.31 Dihydrogen gas used in Haber's process is produced by reacting methane from natural gas with high temperature steam. The first stage of two stage reaction involves the formation of CO and $\mathrm{H}_{2}$. In second stage, CO formed in first stage is reacted with more steam in water gas shift reaction,
$\mathrm{C... | 1 |
2. A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from $A$ to $B$, the force it applies o... | 1 |
How much do ladies spend on cosmetics every year? | 0 |
How does CodeIgniter compare to CakePHP? | 0 |
22. Two non-conducting solid spheres of radii $R$ and $2 R$, having uniform volume charge densities $\rho_{1}$ and $\rho_{2}$ respectively, touch each other. The net electric field at a distance $2 R$ from the centre of the smaller sphere, along the line joining the centre of the spheres, is zero. The ratio $\rho_{1} /... | 1 |
Is anyone happy with their life? | 0 |
What is the best book on renal physiology? | 0 |
How intelligent is Alex Jones? | 0 |
61. When the ore haematite is burnt in air with coke around $2000^{\circ} \mathrm{C}$ along with lime, the process not only produces steel but also produces a silicate slag that is useful in making building materials such as cement. Discuss the same and show through balanced chemical equations. | 1 |
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