Question stringlengths 2 3k | label int64 0 1 |
|---|---|
Who wrote Historia Regum Britanniae? | 0 |
1. Vector $\vec{u}$ is
a. $\vec{a}-\frac{2}{3} \vec{b}+\vec{c}$
b. $\vec{a}+\frac{4}{3} \vec{b}+\frac{8}{3} \vec{c}$
c. $2 \vec{a}-\vec{b}+\frac{1}{3} \vec{c}$
d. $\frac{4}{3} \vec{a}-\vec{b}+\frac{2}{3} \vec{c}$ | 1 |
4. The function $f(x)=[x]^{2}-\left[x^{2}\right]$ (where $[y]$ is the greatest integer less than or equal to $y$ ), is discontinuous at
a. all integers
b. all integers except 0 and 1
c. all integers except 0
d. all integers except 1 | 1 |
Is it possible to make an artificial black-hole? | 0 |
What is the real mileage of ford figo aspire 1.2l petrol? | 0 |
27. Ratio of inradius of $\triangle A B C$ and that of $\triangle P A Q$ is
a. $2: 1$
b. $3: 2$
c. $4: 3$
d. $3: 1$ | 1 |
Who is the richest farmer in the world? | 0 |
11. The function $f(x)=\max \{(1-x),(1+x), 2\}, x \in(-\infty, \infty)$ is
a. continuous at all points
b. differentiable at all points
c. differentiable at all points except at $x=1$ and $x=-1$
d continuous at all points except at $x=1$ and $x=-1$, where it is discontinuous | 1 |
What does it feel like to be shot? | 0 |
Will people leave America due to Trump winning? | 0 |
23. The correct order of acidity for the following compounds is
(a) I $>$ II $>$ III $>$ IV
(b) III $>$ I $>$ II $>$ IV
(c) III $>$ IV $>$ II $>$ I
(d) I $>$ III $>$ IV $>$ II | 1 |
Will "psychiatry" eventually go the way of Phrenology? | 0 |
- Example 19 Let $\mathrm{V}=\{a, e, i, o, u\}$ and $\mathrm{B}=\{a, i, k, u\}$. Find $\mathrm{V}-\mathrm{B}$ and $\mathrm{B}-\mathrm{V}$ | 1 |
23. Nuclear reactions accompanied with emission of neutron(s) are :
(a) ${ }_{13}^{27} \mathrm{Al}+{ }_{2}^{4} \mathrm{H} \rightarrow{ }_{15}^{30} \mathrm{P}$
(b) ${ }_{6}^{12} \mathrm{C}+{ }_{1}^{1} \mathrm{H} \rightarrow{ }_{7}^{13} \mathrm{~N}$
(c) ${ }_{15}^{30} \mathrm{P} \rightarrow{ }_{14}^{30} \mathrm{Si}+{... | 1 |
How will you remember Carrie Fisher? | 0 |
Ex. 36. An organic compound (A) contains $69.42 \%$ C, $5.78 \% \mathrm{H}$ and $11.57 \% \mathrm{~N}$. Its vapour density is $60 \cdot 5$. It evolves ammonia when boiled with caustic potash. On heating with $\mathrm{P}_{2} \mathrm{O}_{5}$, it gives a compound (B) containing $81 \cdot 55 \% \mathrm{C}, 4.85 \%$ H and $... | 1 |
Can graffiti artists spray graffiti in Rockdale County, Georgia? | 0 |
Why is Donald Trump on Quora? | 0 |
Science Po columbia? | 0 |
Sun Yat-Sen became the leader of what military group. | 0 |
What kind of laws are not given statutory citation by the OFR? | 0 |
Is a move from a solution architecture to a program manager a good one? | 0 |
Students in Hyderabad may be required to acquire one of two different certificates, one is the Secondary School Certificate, what is the other? | 0 |
2. For a reaction, $4 \mathrm{M}(\mathrm{s})+\mathrm{nO}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{M}_{2} \mathrm{O}_{\mathrm{n}}(\mathrm{s})$, the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which :
(a) the ... | 1 |
What were the majority of the differences in the revised budget due to the temporary changing of? | 0 |
What does acoelomates mean? | 0 |
11. The major product of the following reaction is:
$\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CHCO}_{2} \mathrm{CH}_{3} \xrightarrow{\mathrm{LiAlH}_{4}}$
(a) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CO}_{2} \mathrm{CH}_{3}$
(b) $\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CHCH}_{2} \mathrm{OH}$
(c) $\mathrm{CH... | 1 |
What is the iq of the average person? | 0 |
What are some of the best movies of 2014? | 0 |
What percentage of nations provide direct funding? | 0 |
- Example 5 Find the values of $a, b, c$, and $d$ from the following equation:
$$
\left[\begin{array}{cc}
2 a+b & a-2 b \\
5 c-d & 4 c+3 d
\end{array}\right]=\left[\begin{array}{cc}
4 & -3 \\
11 & 24
\end{array}\right]
$$ | 1 |
18. The weight of 1 mole of a gas of density $0.1784 \mathrm{~g} / \mathrm{L}$ at NTP is
(a) 0.1784 g
(b) 1 g
(c) 4 g
(d) cannot be calculated | 1 |
What is dajjal? | 0 |
Problem 7.9
3.00 mol of $\mathrm{PCl}_{5} \mathrm{kept}$ in 1L closed reaction vessel was allowed to attain equilibrium at 380 K . Calculate composition of the mixture at equilibrium. $K_{c}=1.80$ | 1 |
3. Which of the following reactions is an example of a redox reaction?
(a) $\mathrm{XeF}_{4}+\mathrm{O}_{2} \mathrm{~F}_{2} \rightarrow \mathrm{XeF}_{6}+\mathrm{O}_{2}$
(b) $\mathrm{XeF}_{2}+\mathrm{PF}_{5} \rightarrow[\mathrm{XeF}]^{+} \mathrm{PF}_{6}^{-}$
(c) $\mathrm{XeF}_{6}+\mathrm{H}_{2} \mathrm{O} \rightar... | 1 |
8. A non-planar closed loop of arbitrary shape carrying a current $I$ is placed in uniform magnetic field. The force acting on the loop
(a) is zero only for one orientation of loop in magnetic field
(b) is zero for two symmetrically located positions of loop in magnetic field
(c) is zero for all orientations
(d) is... | 1 |
What does it mean to say that God is omnipotent? | 0 |
| 4 |  | | | | |
| | | ... | 1 |
I have many questions to ask, but they all need improvement on Quora. How can I proceed? | 0 |
33 A positron with kinetic energy 2.00 keV is projected into a uniform magnetic field $\vec{B}$ of magnitude 0.100 T , with its velocity vector making an angle of $89.0^{\circ}$ with $\vec{B}$. Find (a) the period, (b) the pitch $p$, and (c) the radius $r$ of its helical path. | 1 |
32. Two metallic rings of radius $R$ are rolling on a metallic rod. A magnetic field of magnitude $B$ is applied in the region. The magnitude of potential difference between points $A$ and $C$ on the two rings (as shown), will be
 $V=a\left(x^{2}-y^{2}\right)$
(b) $V=a x y$
where, $a$ is a constant. | 1 |
21. Which annulene would you NOT expect to be aromatic?
(A) [6]-Annulene
(B) [14]-Annulene
(C) [16]-Annulene
(D) [18]-Annulene
(E) [22]-Annulene | 1 |
(a) the work done by the gas | 1 |
14. A charged particle is released from rest in a region of steady and uniform electric and magnetic fields which are parallel to each other. The particle will move in a
(a) straight line
(b) circle
(c) helix
(d) cycloid | 1 |
43. If the ratio of the roots of $a x^{2}+2 b x+c=0$ is same as the ratio of the $p x^{2}+2 q x+r=0$, then
a. $\frac{2 b}{a c}=\frac{q^{2}}{p r}$
b. $\frac{b}{a c}=\frac{q}{p r}$
c. $\frac{b^{2}}{a c}=\frac{q^{2}}{p r}$
d. none of these | 1 |
18. In an elastic collision
(a) the initial kinetic energy is equal to the final kinetic energy
(b) the final kinetic energy is less than the initial kinetic energy
(c) the kinetic energy remains constant
(d) the kinetic energy first increases then decreases.
19. In an inelastic collsion | 1 |
6. A block of mass $m$ is placed at rest on a smooth wedge of mass $M$ placed at rest on a smooth horizontal surface. As the system is released
(a) the COM of the system remains stationary
(b) the COM of the system has an acceleration $g$ vertically downward
(c) momentum of the system is conserved along the horizont... | 1 |
How much time.is taken to reach Micronesia? | 0 |
How is sector 14 in gurgaon? | 0 |
What are some examples of a synecdoche? | 0 |
When was the Treaty of Paris? | 0 |
What do you call paying government officials to use their position in their office? | 0 |
1. A heavy stone is thrown from a cliff of height h in a
given direction. The speed with which it hits the ground
(a) must depend on the speed of projection
(b) must be larger than the speed of projection
(c) must be independent of the speed of projection
(d) may be smaller than the speed of projection. | 1 |
How many tech startups? | 0 |
What are some of the things I can do now for a better career or job in the future? | 0 |
2. The length of the perpendicular drawn from the point $(2,1,4)$ to the plane containing the lines $\mathbf{r}=(\hat{\mathbf{i}}+\hat{\mathbf{j}})+\lambda(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}})$ and $\mathbf{r}=(\hat{\mathbf{i}}+\hat{\mathbf{j}})+\mu(\hat{\hat{\mathbf{i}}}+\hat{\mathbf{j}}-2 \hat{\mathb... | 1 |
What are mandolin songs that are easy to learn? | 0 |
31. In the gaseous reaction $2 \mathrm{~A}+\mathrm{B} \rightleftharpoons \mathrm{A}_2 \mathrm{~B}, \quad \Delta G^0=1200 \mathrm{cal}$ at $227^{\circ} \mathrm{C}$. What total pressure would be necessary to produce $60 \%$ conversion of B into $\mathrm{A}_2 \mathrm{~B}$ when $2: 1$ mixture is used?
[Hint: Use Equation 1... | 1 |
Who signs a bill into a law? | 0 |
Why do some Caucasian men prefer Asian women? | 0 |
2. Let $a, b, c$ be positive and not all equal. Show that the value of the determinant $\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|$ is negative.
(IIT-JEE, 1981) | 1 |
9. Let $P, Q, R$ and $S$ be the points on the plane with position vectors $-2 \hat{i}-\hat{j}, 4 \hat{i}, 3 \hat{i}+3 \hat{j}$ and $-3 \hat{i}+2 \hat{j}$, respectively. The quadrilateral $P Q R S$ must be a
(a) parallelogram, which is neither a rhombus nor a rectangle
(b) square
(c) rectangle, but not a square
(d... | 1 |
Why do we use an electoral college to elect the President instead of using the popular vote like for Congress? | 0 |
2. Amongst the following, the form of water with the lowest ionic conductance at $298 \mathrm{~K}$ is :
(a) distilled water
(b) saline water used for intravenous injection
(c) water from a well
(d) sea water | 1 |
How will World War 3 be like? | 0 |
How many countries are there in total? | 0 |
How were the people who signed the US Constitution decided? | 0 |
11. Let $M$ and $N$ be two $3 \times 3$ non-singular skew-symmetric matrices such that $M N=N M$. If $P^{T}$ denotes the transpose of $P$, then $M^{2} N^{2}\left(M^{T} N\right)^{-1}\left(M N^{-1}\right)^{T}$ is equal to
(a) $M^{2}$
(b) $-N^{2}$
(c) $-M^{2}$
(d) $M N(2011)$
$$
\begin{array}{lll}
1 & 0 & 0
\end{array}
... | 1 |
(c) What is the dynamic resistance? | 1 |
13. In figures (a), (b) and (c) shown, the objects $A, B$ and $C$ are of same mass. String, spring and pulley are massless. $C$ strikes $B$ with velocity $u$ in each case and sticks it. The ratio of velocity of $B$ in case (a) to (b) to (c) is
(a) zero
(b) $\frac{E}{R_{1}}$
(c) $\frac{E}{R_{1}+R_{2}}$
(d) $\frac{E}{R_{1}+\fra... | 1 |
17. Let $f(x)=\lim _{n \rightarrow \infty}(\sin x)^{2 n}$, then which of the following is not true?
a. discontinuous at infinite number of points b. Discontinuous at $x=\frac{\pi}{2}$
c. Discontinuous at $x=-\frac{\pi}{2}$
d. None of these | 1 |
Which group provides opportunities for Eastern Europe and Asia exchange students? | 0 |
Where would someone put a car tracking device? | 0 |
4. If $a, b$ are $c$ are positive and $9 a+3 b+c=90$ then the maximum value of $(\log a+\log b+\log c)$ is (base of the logarithm is 10 ). | 1 |
What is gynephilia used to describe? | 0 |
What can I substitute for evaporated milk? | 0 |
What is the only alternative to bigotry and persecution on many occasions? | 0 |
9. The given plots represents the variation of the concentration of a reactant $\mathrm{R}$ with time for two different reactions (i) and (ii). The respective orders of the reactions are
(... | 1 |
8. At what rate should the earth rotate so that the apparent $g$ at the equator becomes zero ? What will be the length of the day in this situation? | 1 |
12 In Fig. 35-35, two light rays go through different paths by reflecting from the various flat surfaces shown. The light waves have a wavelength of 420.0 nm and are initially in phase. What are the (a) smallest and (b) second smallest value of distance $L$ that will put the waves exactly out of phase as they emerge fr... | 1 |
21. Two metallic spheres $S_{1}$ and $S_{2}$ are made of the same material and have got identical surface finish. The mass of $S_{1}$ is thrice that of $S_{2}$. Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ... | 1 |
11. $\mathrm{H}_{3} \mathrm{BO}_{3}$ is:
(a) Monobasic and weak Lewis acid
(b) Monobasic and weak Bronsted acid
(c) Monobasic and strong Lewis acid
(d) Tribasic and weak Bronsted acid | 1 |
15. Let $\overrightarrow{\mathbf{u}}, \overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{w}}$ be vectors such that $\overrightarrow{\mathbf{u}}+\overrightarrow{\mathbf{v}}+\overrightarrow{\mathbf{w}}=\overrightarrow{\mathbf{0}}$. If $|\overrightarrow{\mathbf{u}}|=3,|\overrightarrow{\mathbf{v}}|=4$ and $|\overrig... | 1 |
48. If $x f(x)=3 f^{2}(x)+2$, then $\int \frac{2 x^{2}-12 x f(x)+f(x)}{(6 f(x)-x)\left(x^{2}-f(x)\right)^{2}} d x$ equals
a. $\frac{1}{x^{2}-f(x)}+c$
b. $\frac{1}{x^{2}+f(x)}+c$
c. $\frac{1}{x-f(x)}+c$
d. $\frac{1}{x+f(x)}+c$ | 1 |
46. $\int_{0}^{\infty}\left(\frac{\pi}{1+\pi^{2} x^{2}}-\frac{1}{1+x^{2}}\right) \log x d x$ is equal to
a. $-\frac{\pi}{2} \ln \pi$
b. 0
c. $\frac{\pi}{2} \ln 2$
d. None of these | 1 |
1. Five identical charges are kept at five vertices of a regular hexagon. Match the following two columns at centre of the hexagon. If in the given situation electric field at centre is $E$. Then,
| Column I | Column II |
| :--- | :--- |
| (a) If charge at $B$ is removed, then <br> electric field will become | (p) $2 ... | 1 |
Is the Islamic state practicing the purest form of Islam as it existed at the time of Muhammad? | 0 |
What is the example of Presence of Mind? | 0 |
Who took over German New Guinea? | 0 |
4. The angular frequency for which he detects maximum current in the circuit is
(a) $10^{5} / 7 \mathrm{rad} / \mathrm{s}$
(b) $10^{4} \mathrm{rad} / \mathrm{s}$
(c) $10^{5} \mathrm{rad} / \mathrm{s}$
(d) $10^{4} / 7 \mathrm{rad} / \mathrm{s}$ | 1 |
What are some things new employees should know going into their first day at Skullcandy? | 0 |
What is the best way to rediscover your inner self? | 0 |
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