Question stringlengths 2 3k | label int64 0 1 |
|---|---|
What is the Earth's inner core composed of and how do we know? | 0 |
In what century did the Northern Crusades begin? | 0 |
23. Number of o/p-directing directing groups present on benzene ring :
(b) $-\mathrm{NO}_{2}$
(c) $-\mathrm{CH}_{3}$
(d) $-\mathrm{SO}_{3} \mathrm{H}$
(e) $-\underset{\mathrm{I}}{\mathrm{S}}=... | 1 |
What are some quotes about best friends? | 0 |
32. The tangent at a point $P$ on the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ meets one of the directrix in $F$. If $P F$ subtends an angle $\theta$ at the corresponding focus, then $\theta$ equals
a. $\frac{\pi}{4}$
b. $\frac{\pi}{2}$
c. $\frac{3 \pi}{4}$
d. $\pi$ | 1 |
Why is Doraemon underrated? | 0 |
The hindbrain during development is known as what? | 0 |
12. Consider four circles $(x \pm 1)^{2}+(y \pm 1)^{2}=1$. Find the equation of smaller circle touching these four circles. | 1 |
15. Which of the following would produce analog signals and which would produce digital signals?
(i) A vibrating tuning fork
(ii) Musical sound due to a vibrating sitar string
(iii) Light pulse
(iv) Output of NAND gate | 1 |
What is it like to be a software engineering intern at Airbnb? | 0 |
(a) Plot $\ln \left(R_{0} / R\right)$ against $t$. | 1 |
What can you do to rid yourself of modern society? | 0 |
38. The number of real roots of the equation $e^{x-1}+x-2=0$ is
a. 1
b. 2
c. 3
d. 4 | 1 |
3.330. Determine the mutual inductance of a doughnut coil and an infinite straight wire passing along its axis. The coil has a rectangular cross-section, its inside radius is equal to $a$ and the outside one, to $b$. The length of the doughnut's cross-sectional side parallel to the wire is equal to $h$. The coil has $N... | 1 |
17. A conductor (shown in the figure) carrying constant current $I$ is kept in the $x-y$ plane in a uniform magnetic field $\mathbf{B}$. If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are
$ and $(-a, 0,0)$. A third point charge $-q$ is at origin. State whether its equilibrium is stable, unstable or neutral if it is slightly displaced :
(a) along $x$-axis.
(b) along $y$-axis. | 1 |
Call Centers: What is the best way to get campaigns for my call center? | 0 |
40. The number of values of $\theta$ which satisfy the equation $\sin 3 \theta-\sin \theta=4 \cos ^{2} \theta-2, \forall \theta \in[0,2 \pi]$, is
a. 4
b. 5
c. 7
d. 0 | 1 |
38. The magnitude of their resultant is
(a) 5
(b) 8
(c) 9
(d) 13 | 1 |
Atheism: How difficult it is to be an atheist in india? | 0 |
17. The pH of $7 \times 10^{-8} \mathrm{M} \mathrm{CH}_3 \mathrm{COOH}$ is $\left(K_{\mathrm{w}}=1 \times 10^{-14}\right)$
(a) 8.1
(b) 7.9
(c) $7 \cdot 1$
(d) 6.85 | 1 |
Example 1.3 Solve $\frac{2 x-3}{3 x-5} \geq 3$. | 1 |
What are the things that are important in life? | 0 |
7. Solve for $\mathrm{x},\left(x^{2}+3 x+1\right)\left(x^{2}+3 x-3\right) \geq 5$
(a) $(-\infty,-4] U[-2,-1] U[1, \infty)$
(b) $(-\infty,-4] U[1, \infty)$
(c) $(-\infty,-4] U[4, \infty)$
(d) None of these | 1 |
113. Let $f(x)=e^{\left\{e^{[x \mid} \operatorname{sgn} x\right\}}$ and $g(x)=e^{\left[e^{|x|} \operatorname{sgn} x\right]}, x \in R$ where \{\} and [ ] denotes the fractional and integral part functions, respectively. Also $h(x)=\log (f(x))+\log (g(x))$ then for real $x, h(x)$ is1 a. An odd function.
b. An even funct... | 1 |
What are the best exercises to lose weight? | 0 |
5. A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will
(a) increase
(b) decrease
(c) remain unchanged
(d) become zero. | 1 |
How one can make use of his brain to its maximum potential? | 0 |
10. Four light waves are represented by
(i) $y=a_{1} \sin \omega t$
(ii) $y=a_{2} \sin (\omega t+\varepsilon)$
(iii) $y=a_{1} \sin 2 \omega t$
(iv) $y=a_{2} \sin 2(\omega t+\varepsilon)$.
Interference fringes may be observed due to superposition of
(a) (i) and (ii)
(b) (i) and (iii)
(c) (ii) and (iv)
(d) (iii) and (iv... | 1 |
9. A block of mass $M$ is placed on the top of a bigger block of mass $10 \mathrm{M}$ as shown in figure (9-W9). All the surfaces are frictionless. The system is released from rest. Find the distance moved by the bigger block at the instant the smaller block reaches the ground.
 $M r^2$
(b) $\frac{1}{2} M r^2$
(c) $\frac{1}{4} M r^2$
(d) $\frac{2}{5} M r^2$. | 1 |
When did the Shahis switch from Buddhist to Hindu? | 0 |
How many square miles does Hyderabad cover? | 0 |
17. A point object $O$ is placed on the principal axis of a convex lens of focal length $f=20 \mathrm{~cm}$ at a distance of $40 \mathrm{~cm}$ to the left of it. The diameter of the lens is 10 $\mathrm{cm}$. An eye is placed $60 \mathrm{~cm}$ to right of the lens and a distance $h$ below the principal axis. The maximum... | 1 |
Why some teenage girls want to marry, then divorce and then get alimony? | 0 |
What websites are similar to eBay? | 0 |
How can the new user experience of Twitter be improved? | 0 |
What is the best way to pass the 1Y0-200 exam? | 0 |
What was the foremost dynasty of the the Golden Age period? | 0 |
1. Two particles are moving along $x$-axis. Their $x$-coordinate versus time graph are as shown below.
Fig. 6.61
Find velocity of $A$ w.r.t. $B$. | 1 |
What are the best algorithm books for beginners? | 0 |
20. The $71^{\text {st }}$ electron of an element $X$ with an atomic number of 71 enters into the orbital:
(a) $6 p$
(b) $4 f$
(c) $5 d$
(d) $6 \mathrm{~s}$ | 1 |
13. The function $f^{\prime}(x)$ is
(a) increasing in $\left(-t,-\frac{1}{4}\right)$ and decreasing in $\left(-\frac{1}{4}, t\right)$
(b) decreasing in $\left(-t,-\frac{1}{4}\right)$ and increasing in $\left(-\frac{1}{4}, t\right)$
(c) increasing in (- $t, t$ )
(d) decreasing in ( $-t, t)$ | 1 |
1. The area of a square is $5.29 \mathrm{~cm}^{2}$. The area of 7 such squares taking into account the significant figures is
(a) $37.030 \mathrm{~cm}^{2}$
(b) $37.0 \mathrm{~cm}^{2}$
(c) $37.03 \mathrm{~cm}^{2}$
(d) $37 \mathrm{~cm}^{2}$ | 1 |
4. Figure shows charge $(q)$ versus voltage $(V)$ graph for series and parallel combination of two given capacitors. The capacitances are
(a) $60 \mu \mathrm{F}$ and $40 \mu \mathrm{F}$
... | 1 |
27. Statement-1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards $\mathrm{x}$-axis from the line of $45^{\circ}$ slope as the atomic number is increased.
Statement-2 : Proton-proton electrostatic repulsions begin to overcome attractive forces involving... | 1 |
36. IUPAC name of Acetophenone is :
(A) Benzophenone
(B) 1,1-Biphenylmethanone
(C) Benzene Methyl methanone
(D) 1-Phenyl Ethanone | 1 |
3.9 Two towns A and B are connected by a regular bus service with a bus leaving in either direction every $T$ minutes. A man cycling with a speed of $20 \mathrm{~km} \mathrm{~h}^{-1}$ in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite di... | 1 |
What is the best interview question? | 0 |
1. Water and oil are poured into the two limbs of a U-tube containing mercury. The interfaces of the mercury and the liquids are at the same height in both limbs.
Determine the height of the water column $h_{1}$ if that of the oil $h_{2}=20 \mathrm{~cm}$. The density of the oil is 0.9 .
$ on the graph of $f(x)=x^{2}$ and a point $(r, s)$ on the graph of $g(x)=\frac{-8}{x}$, where $p>0$ and $r>0$. If the line through $(p, q)$ and $(r, s)$ is also tangent to both the curves at these points, respectively, then the value of $p+$ $r$ is | 1 |
Example 6.87 Find the condition for which the formula
$(a+b)^{m}=a^{m}+m a^{m-1} b+\frac{m(m-1)}{1 \times 2} a^{m-2} b^{2}+\cdots$ holds. | 1 |
14. Find the real numbers $x$ and $y$ if $(x-i y)(3+5 i)$ is the conjugate of $-6-24 i$. | 1 |
11. The number of points where $g(x)$ is non-differentiable is
a. 4
b. 5
c. 2
d. 3 | 1 |
26. An ideal gas is taken from the state $A$ (pressure $p$, volume $V$ ) to the state $B$ (pressure $p / 2$, volume $2 V$ ) along a straight line path in the $p$ - $V$ diagram. Select the correct statements from the following
(a) The work done by the gas in the process $A$ to $B$ exceeds the work that would be done ... | 1 |
1. Find charges on different capacitors.
Fig. 25.29 | 1 |
1. The circles $x^{2}+y^{2}-12 x-12 y=0$ and $x^{2}+y^{2}+6 x+6 y=0$
a. touch each other externally
b. touch each other internally c. intersect in two points
d. none of these | 1 |
Example 3.7 Let $f(x)$ be a function defined as
$$
f(x)= \begin{cases}\frac{x^{2}-1}{x^{2}-2|x-1|-1}, & x \neq 1 \\ \frac{1}{2}, & x=1\end{cases}
$$
Discuss the continuity of the function at $x=1$. | 1 |
4. The unit of electrical conductivity is
(a) ohm-m ${ }^{-2}$
(b) ohm $\times \mathrm{m}$
(c) $\mathrm{ohm}^{-1} \cdot \mathrm{m}^{-1}$
(d) None of these | 1 |
16.9 What is meant by the term 'broad spectrum antibiotics' ? Explain. | 1 |
What is really the mind? | 0 |
How do I apply for a business permit license? | 0 |
In layman’s terms, what is a hedge fund? | 0 |
Which system in the body controls urination? | 0 |
$\bullet 43$ In the ground state of the hydrogen atom, the electron has a total energy of -13.6 eV . What are (a) its kinetic energy and (b) its potential energy if the electron is one Bohr radius from the central nucleus? | 1 |
23. An octahedral complex with molecular composition M. $5 \mathrm{NH}_{3} . \mathrm{Cl} \cdot \mathrm{SO}_{4}$ has two isomers, A and B. The solution of A gives a white precipitate with $\mathrm{AgNO}_{3}$ solution and the solution of $\mathrm{B}$ gives white precipitate with $\mathrm{BaCl}_{2}$ solution. The type of ... | 1 |
Do you consider yourself attractive? In an scale of 1-10, how attractive do you think you are? | 0 |
1. If $\alpha+\beta=\frac{\pi}{2} \operatorname{and} \beta+\gamma=\alpha$, then $\tan \alpha$ equals $\quad$ (2001, 1M)
(a) $2(\tan \beta+\tan \gamma)$
(c) $\tan \beta+2 \tan \gamma$
(b) $\tan \beta+\tan \gamma$
(d) $2 \tan \beta+\tan \gamma$ | 1 |
What is the best Battlefield 4 expansion pack? | 0 |
Quora: How do you message someone through their profile? | 0 |
Can you suggest me some good anime themes? | 0 |
3. A uniform rod $A B, 12 \mathrm{~m}$ long weighing $24 \mathrm{~kg}$, is supported at end $B$ by a flexible light string and a lead weight (of very small size) of $12 \mathrm{~kg}$ attached at end $A$.
 The lady now sits in a merry-go-round moving at $4 \mathrm{~m} \mathrm{~s}^{-1}$ in a circle of radius $2 \mathrm{~m}$. Find the time period of small oscillations of the ear-ring | 1 |
12. For $l=3$, which value of $m$ is not possible?
(a) 4
(b) 0
(c) -3
(d) -1 | 1 |
Do Asian women like white guys? | 0 |
Which is best colour in iPhone 6 Plus? | 0 |
What worship system is central to Hinduism? | 0 |
Is there a St. Marie Trezelle? How did she become a saint and what was her contribution to the faith? | 0 |
When are the next MacBook Airs coming out? | 0 |
5. Write the correct order for the acidic strength of the following?
(A) $a>b>c$
(B) $b>c>a$
(C) $c>b>a$
(D) None of these | 1 |
In addition to forms from the ancient Middle East, what other place's forms had an effect on Islamic architecture? | 0 |
2. When a horse pulls a cart, the force that helps the horse to move forward is the force exerted by
(a) the cart on the horse (b) the ground on the horse (c) the ground on the cart (d) the horse on the ground. | 1 |
Are men generally physically stronger than women? | 0 |
Neurons in the brain interact with each other by fibers called what? | 0 |
12. $\frac{x^{3}}{\sqrt{1-x^{8}}}$ | 1 |
5. Which of the following quantities do not depend on the
choice of zero potential or zero potential energy ? (a) Potential at a point
(b) Potential difference between two points
(c) Potential energy of a two-charge system
(d) Change in potential energy of a two-charge system. | 1 |
78. If $\vec{a}$ and $\vec{b}$ are orthogonal unit vectors, then for a vector $\vec{r}$ non-coplanar with $\vec{a}$ and $\vec{b}$, vector $\vec{r} \times \vec{a}$ is equal to
a. $[\vec{r} \vec{a} \vec{b}] \vec{b}-(\vec{r} \cdot \vec{b})(\vec{b} \times \vec{a})$
b. $[\vec{r} \vec{a} \vec{b}](\vec{a}+\vec{b})$
c. $[\vec{... | 1 |
11. Let $T_{a}$ and $T_{b}$ be the final temperatures of the samples $A$ and $B$ respectively in the previous question.
(a) $T_{a}<T_{b}$
(b) $T_{a}=T_{b}$
(c) $T_{a}>T_{b}$
(d) The relation between $T_{a}$ and $T_{b}$ cannot be deduced. | 1 |
Has Ben Shapiro travelled much? | 0 |
What are the strongest majors in terms of job prospects and what are the weakest majors at Valdosta State? | 0 |
(xv) Chlorobenzene to $p$-nitrophenol | 1 |
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