Question stringlengths 2 3k | label int64 0 1 |
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1. Solve for $x$ : $4^{x}-3^{x-1 / 2}=3^{x+1 / 2}-2^{2 x-1}$.
(IIT-JEE, 1978) | 1 |
How do I make money to support my living in U.S? | 0 |
Should Quora partnership with kindle as kindle is best devise and Quora is best place for reading? | 0 |
6. $A$ is a $2 \times 2$ matrix such that $A\left[\begin{array}{c}1 \\ -1\end{array}\right]=\left[\begin{array}{c}-1 \\ 2\end{array}\right]$ and $A^{2}\left[\begin{array}{c}1 \\ -1\end{array}\right]=\left[\begin{array}{l}1 \\ 0\end{array}\right]$. The sum of the elements of $A$ is
a. -1
b. 0
c. 2
d. 5 | 1 |
27. One mole of a gas A and two moles of a gas B are introduced into one vessel and 2 moles of A and 1 mole of B into a second vessel having the same capacity. The temperature is the same in both vessels. Will the rate of reaction between A and B in these vessels differ if it is expressed by the equation
(i) rate $=k[\... | 1 |
Ex. 11. Given the following standard heats of reaction at constant pressure:
(i) Heat of formation of water $=-68.3 \mathrm{kcal}$
(ii) Heat of combustion of acetylene $=-310.6 \mathrm{kcal}$
(iii) Heat of combustion of ethylene $=-337.2 \mathrm{kcal}$
Calculate the heat of reaction for the hydrogenation of acetylene ... | 1 |
33. The distance of the point $(1,3,-7)$ from the plane passing through the point $(1,-1,-1)$ having normal perpendicular to both the lines $\frac{x-1}{1}=\frac{y+2}{-2}=\frac{z-4}{3}$ and $\frac{x-2}{2}=\frac{y+1}{-1}=\frac{z+7}{-1}$, is
(a) $\frac{20}{\sqrt{74}}$ units
(b) $\frac{10}{\sqrt{83}}$ units
(c) $\frac{5... | 1 |
29. Given the following reactions with their enthalpy changes, at $25^{\circ} \mathrm{C}$,
$$
\begin{aligned}
& \mathrm{N}_{2}(\mathrm{~g})+2 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NO}_{2}(\mathrm{~g}) ; \Delta \mathrm{H}=16 \cdot 18 \mathrm{kcal} \\
& \mathrm{~N}_{2}(\mathrm{~g})+2 \mathrm{O}_{2}(\mathrm{~... | 1 |
How do I gain access to a private Instagram account? | 0 |
What is stemmatics? | 0 |
2. Let $O(0,0)$ and $A(0,1)$ be two fixed points, then the locus of a point $P$ such that the perimeter of $\triangle A O P$ is 4 , is
(a) $8 x^{2}-9 y^{2}+9 y=18$
(b) $9 x^{2}-8 y^{2}+8 y=16$
(c) $9 x^{2}+8 y^{2}-8 y=16$
(d) $8 x^{2}+9 y^{2}-9 y=18$ | 1 |
38. In the figure, light is incident on a thin lens as shown. The radius of curvature for both the surfaces is $R$. Determine the focal length of this system.
 | 1 |
What are some solution examples? | 0 |
Due to advances in science and culture, what are the Magadha region empires considered to represent? | 0 |
Which entity founded the Cape Colony? | 0 |
Why are beautiful faces soothing? | 0 |
What area did Harsha unite during his reign? | 0 |
9. A block $A$ kept on an inclined surface just begins to slide if the inclination is $30^{\circ}$. The block is replaced by another block $B$ and it is found that it just begins to slide if the inclination is $40^{\circ}$.
(a) mass of $A>$ mass of $B$ (b) mass of $A<$ mass of $B$
(c) mass of $A=$ mass of $B$ (d) all... | 1 |
What do you think of Chinese and Western weddings? | 0 |
9. A satellite of mass $m$ is just placed over the surface of earth. In this position mechanical energy of satellite is $E_{1}$. Now it starts orbiting round the earth in a circular path at height $h=$ radius of earth. In this position, kinetic energy, potential energy and total mechanical energy of satellite are $K_{2... | 1 |
What are the basic questions asked in a job interview? | 0 |
8.20 Two stars each of one solar mass ( $=2 \times 10^{30} \mathrm{~kg}$ ) are approaching each other for a head on collision. When they are a distance $10^{9} \mathrm{~km}$, their speeds are negligible. What is the speed with which they collide ? The radius of each star is $10^{4} \mathrm{~km}$. Assume the stars to re... | 1 |
What are some ways to improve English? | 0 |
What has the research that has been done already show about sexual orientation show? | 0 |
Will the world end today? | 0 |
Which order I should watch Star Wars movies? | 0 |
Why are filmmakers and screenwriters predominantly males? | 0 |
27. Find the value of $\lambda$ so that the points $P, Q, R$ and $S$ on the sides $O A, O B, O C$ and $A B$, respectively, of a regular tetrahedron $O A B C$ are coplanar. It is given that $\frac{O P}{O A}=\frac{1}{3}, \frac{O Q}{O B}=\frac{1}{2}, \frac{O R}{O C}=\frac{1}{3}$ and $\frac{O S}{A B}=\lambda$.
a. $\lambda=... | 1 |
14.11 What are the major causes of water pollution? Explain. | 1 |
3. A sugar syrup of weight 214.2 g contains $34 \cdot 2 \mathrm{~g}$ of $\operatorname{sugar}\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right)$. Calculate (i) molal concentration, and (ii) mole fraction of sugar in the syrup.
(IIT 1988) ( $0.556 \mathrm{~m}, 0.0099$ ) | 1 |
Can hamsters eat peanuts? Are they harmful for them in any way? | 0 |
32. A small sphere of mass $m$ suspended by a thread is first taken aside so that the thread forms the right angle with the vertical and then released, then
(a) total acceleration of sphere as a function of $\varepsilon$ is $g \sqrt{1+3 \cos ^{2} \theta}$
(b) thread tension as a function of e is $T=3 m g \cos \theta$... | 1 |
How do I boost my youtube videos with 5000 YOUTUBE views? | 0 |
18. In a $p-n$ junction, a potential barrier of $250 \mathrm{meV}$ exists across the junction. A hole with a kinetic energy of $300 \mathrm{meV}$ approaches the junction. Find the kinetic energy of the hole when it crosses the junction if the hole approached the junction (a) from the $p$-side and (b) from the $n$-side. | 1 |
1. When a particle moves in a circle with a uniform speed (a) its velocity and acceleration are both constant
(b) its velocity is constant but the acceleration changes
(c) its acceleration is constant but the velocity changes
(d) its velocity and acceleration both change. | 1 |
When was the Kao Gong Ji written? | 0 |
What is the best way to learn how to speak a language fluently? | 0 |
If I accept a seat allotted to me in the first round of the JoSAA counselling under the float option, will I be allowed to surrender my seat and get the refund if my choice is not upgraded? | 0 |
8. A lead bullet just melts when stopped by an obstacle. Assuming that 25 per cent of the heat is absorbed by the obstacle, find the velocity of the bullet if its initial temperature is $27^{\circ} \mathrm{C}$.
(Melting point of lead $=327^{\circ} \mathrm{C}$, specific heat of lead $=0.03 \mathrm{cal} / \mathrm{g}-{ }... | 1 |
4.11 In a chamber, a uniform magnetic field of $6.5 \mathrm{G}\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$ is maintained. An electron is shot into the field with a speed of $4.8 \times 10^{6} \mathrm{~m} \mathrm{~s}^{-1}$ normal to the field. Explain why the path of the electron is a circle. Determine the radius of t... | 1 |
35. If $a / b c-2=\sqrt{b / c}+\sqrt{c / b}$, where $a, b, c>0$, then family of lines $\sqrt{a} x+\sqrt{b} y+\sqrt{c}=0$ passes though the fixed point given by
a. $(1,1)$
b. $(1,-2)$
c. $(-1,2)$
d. $(-1,1)$ | 1 |
Who invited the Ostrogoths to settle in the Roman Empire? | 0 |
8. If $\int \frac{\left\{\left(x^{2}+n(n-1)\right\}\right.}{(x \sin x+n \cos x)^{2}} d x=f(x)+g(x)+c$, then
(a) $f(x)=\frac{x^{n}}{x^{n} \sin x+n \cos x}$
(b) $f(x)=-\frac{x^{n} \sec x}{x^{n} \sin x+n x^{n-1} \cos x}$
(c) $g(x)=\tan x$
(d) $g(x)=\sec x$ | 1 |
19. Let $f(x)$ be differentiable on the interval $(0, \infty)$ such that $f(1)=1$, and $\lim _{t \rightarrow x} \frac{t^{2} f(x)-x^{2} f(t)}{t-x}=1$ for each $x>0$. Then, $f(x)$ is
(a) $\frac{1}{3 x}+\frac{2 x^{2}}{3}$
(b) $-\frac{1}{3 x}+\frac{4 x^{2}}{3}$
(c) $-\frac{1}{x}+\frac{2}{x^{2}}$
(d) $\frac{1}{x}$ | 1 |
In what century did the Mughal Empire come into decline? | 0 |
30. The value of $\left|\begin{array}{ccc}y z & z x & x y \\ p & 2 q & 3 r \\ 1 & 1 & 1\end{array}\right|$, where $x, y, z$ are, respectively, $p^{\mathrm{sh}}$, $(2 q)^{\mathrm{th}}$ and $(3 r)^{\mathrm{lh}}$ terms of an H.P., is
a. -1
b. 0
c. 1
d. none of these | 1 |
13. Vertex of the parabola whose parametric equation is $x=t^{2}-t+1, y=t^{2}+t+1 ; t \in R$, is
a. $(1,1)$
b. $(2,2)$
c. $\left(\frac{1}{2}, \frac{1}{2}\right)$
d. $(3,3)$ | 1 |
34. The value of $P_{n}$ is equal to
a. $(1 / 2)\left[P_{n-1}+P_{n-2}\right]$
b. $(1 / 2)\left[2 P_{n-1}+P_{n-2}\right]$
c. $(1 / 2)\left[P_{n-1}+2 P_{n-2}\right]$
d. none of these | 1 |
What are the most popular inexpensive/free software programs for designing products? For creating the digital blueprints? | 0 |
What are some major social faux pas to avoid when visiting Norway? | 0 |
I scored 162 in AFCAT 2016 2.(cut off:148). Do I stand a chance of being recommended by AFSB? Does recommendation guarantee a place in the merit list? | 0 |
What is a good way to sell event tickets online? | 0 |
Why is ISIS defaming Islam? | 0 |
24. If the direct transmission method with a cable of resistance $0.4 \Omega \mathrm{km}^{-1}$ is used, the power dissipation (in \%) during transmission is
(a) 20
(b) 30
(c) 40
(d) 50 | 1 |
7. An electron is accelerated through a PD of $100 \mathrm{~V}$ and then enters a region where it is moving perpendicular to a magnetic field $B=0.2 \mathrm{~T}$. Find the radius of the circular path. Repeat this problem for a proton | 1 |
What is the best way to improve my spoken English soon? | 0 |
What are some companies that use Mixpanel? | 0 |
Example 41.2
When the plate voltage applied to a diode valve is changed from $40 \mathrm{~V}$ to $42 \mathrm{~V}$, the plate current increases from $50 \mathrm{~mA}$ to $60 \mathrm{~mA}$. Calculate the dynamic plate resistance at the operating condition. | 1 |
Do some people provide fake answers to Quora questions just to get upvotes? | 0 |
35. Two vectors, $\vec{r}$ and $\vec{s}$, lie in the $x y$ plane. Their magnitudes are 4.50 and 7.30 units, respectively, and their directions are $320^{\circ}$ and $85.0^{\circ}$, respectively, as measured counterclockwise from the positive $x$ axis. What are the values of (a) $\vec{r} \cdot \vec{s}$ and (b) $\vec{r} ... | 1 |
Why do people ask questions on Quora and then answer them themselves? | 0 |
6. Consider the given plot of enthalpy of the following reaction between $\mathrm{A}$ and $\mathrm{B}, \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{D}$
Identify the incorrect statement.
.
Initially, the spring makes an angle of 37 with the
vertical when the system is released from r... | 1 |
What type of government does Guatemala have? How does it compare to the one in Poland? | 0 |
Why is there so much hooliganism in football? Isn't football a sport meant to entertain and bring happiness to the masses? | 0 |
What are the cons of a Jio sim? | 0 |
5. If both the mean and the standard deviation of 50 observations $x_{1}, x_{2}, \ldots, x_{50}$ are equal to 16 , then the mean of $\left(x_{1}-4\right)^{2},\left(x_{2}-4\right)^{2}, \ldots,\left(x_{50}-4\right)^{2}$ is
(a) 480
(b) 400
(c) 380
(d) 525 | 1 |
4. If $\vec{a}, \vec{b}$ and $\vec{c}$ are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is
a. $\vec{a}+\vec{b}+\vec{c}$
b. $\frac{\vec{a}}{|\vec{a}|}+\frac{\vec{b}}{|\vec{b}|}+\frac{\vec{c}}{|\vec{c}|}$
c. $\frac{\vec{a}}{|\vec{a}|^{2}}+\frac{\vec{b}}{|\vec{b}|^{2}}+\... | 1 |
How many calories does a Dominos pizza have? | 0 |
What's the best way to learn Spanish or French without spending any money? | 0 |
2. Let a random variable $X$ have a binomial distribution with mean 8 and variance 4 . If $P(X \leq 2)=\frac{k}{2^{16}}$, then $k$ is equal to
(2019 Main, 12 April I)
(a) 17
(b) 121
(c) 1
(d) 137 | 1 |
If you could ask any one person one question, who would it be and what would you ask? | 0 |
Ex. 25. At 800 K a reaction mixture contained 0.5 mole of $\mathrm{SO}_{2}, 0.12$ mole of $\mathrm{O}_{2}$ and 5 moles of $\mathrm{SO}_{3}$ at equilibrium. $K_{c}$ for the equilibrium $2 \mathrm{SO}_{2}+\mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3}$ is 833 lit/mol. If the volume of the container is 1 litre, calcu... | 1 |
What two epic narratives were written by Homer? | 0 |
6. If the vertices $P, Q, R$ of a triangle $P Q R$ are rational points, which of the following points of the triangle $P Q R$ is (are) always rational points(s)? (A rational point is a point whose coordinates are rational numbers.)
a. centroid
b. incentre
c. circumcentre
d. orthocentre | 1 |
What is the origin of baking soda? | 0 |
An EEG of the brain stands for what? | 0 |
23. A gaseous mixture contains oxygen and nitrogen in the ratio of $1: 4$ by weight. Therefore, the ratio of their number of molecules is
(a) $1: 4$
(b) $1: 8$
(c) $7: 32$ $[1979]$
(d) $3: 16$ | 1 |
Do men like "inexperienced" women? | 0 |
How do you earn your money? | 0 |
34. Assume that the only change in volume is due to the production of hydrogen and calculate the work done in joules when 2.0 moles of Zn dissolve in hydrochloric acid, giving $\mathrm{H}_{2}$ at $35^{\circ} \mathrm{C}$ and 1 atm .
$$
\begin{equation*}
\mathrm{Zn}(\mathrm{~s})+2 \mathrm{HCl}(\mathrm{aq}) \rightarrow \... | 1 |
How can I crack NEET 2017? | 0 |
How do I increase my level of pull ups step by step? | 0 |
How can I figure out what my boyfriend was texting my friend if he doesn't want to tell me? | 0 |
Does God play dice? | 0 |
4. A wire of length $2 L$, is made by joining two wires $A$ and $B$ of same length but different radii $r$ and $2 r$ and made of the same material. It
is vibrating at a frequency such that... | 1 |
93. If the equation $\left|x^{2}+b x+c\right|=k$ has four real roots, then
a. $b^{2}-4 c>0$ and $0<k<\frac{4 c-b^{2}}{4}$
b. $b^{2}-4 c<0$ and $0<k<\frac{4 c-b^{2}}{4}$
c. $b^{2}-4 c>0$ and $k>\frac{4 c-b^{2}}{4}$
d. none of these | 1 |
53. If $f(x+y)=f(x)+f(y)-x y-1 \forall x, y \in R$ and $f(1)=1$, then
a. 0
b. 1
c. 2
d. more than 2 | 1 |
20. If $y^{2}=P(x)$ is a polynomial of degree 3 , then
$2 \frac{d}{d x} y^{3} \frac{d^{2} y}{d x^{2}}$ equals
$(1988,2 M)$
(a) $P^{\prime \prime \prime}(x)+P^{\prime}(x)$
(b) $P^{\prime \prime}(x) \cdot P^{\prime \prime \prime}(x)$
(c) $P(x) P^{\prime \prime \prime}(x)$
(d) a constant | 1 |
20. Which solution will have the highest b.p.?
(a) $1 \mathrm{M} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ solution
(b) 1 M NaCl solution
(c) $1 \mathrm{M} \mathrm{BaCl}{ }_{2}$ solution
(d) $1 \mathrm{M}\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}$ solution | 1 |
What should I watch after The Simpsons? | 0 |
3. A bob of mass $10 \mathrm{~kg}$ is attached to a wire $0.3 \mathrm{~m}$ long. Its breaking stress is $4.8 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$. The area of cross-section of the wire is $10^{-6} \mathrm{~m}^{2}$. What is the maximum angular velocity with which it can be rotated in a horizontal circle?
(a) $8 \... | 1 |
What fruit has the most fiber? | 0 |
Why do people ask questions on Quora that can easily be answered by Google? | 0 |
In what part of the church was the monumental entrance typically placed? | 0 |
6. Find the sum of $n$ terms of the series $4 / 3+10 / 9+28 / 27+\cdots$. | 1 |
The easiest way to learn about brain anatomy is by what? | 0 |
What is basically an introvert and an extrovert? | 0 |
12 At time $t_1$, an electron is sent along the positive direction of an $x$ axis, through both an electric field $\vec{E}$ and a magnetic field $\vec{B}$, with $\vec{E}$ directed parallel to the $y$ axis. Figure $28-33$ gives the $y$ component $F_{\text {net }}$ of the net force on the electron due to the two fields, ... | 1 |
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