Question stringlengths 2 3k | label int64 0 1 |
|---|---|
How many municipal wards are within Hyderabad? | 0 |
1. A wire elongates by $l$ units, when a load $w$ is suspended from it. If the wire gets over a pulley (equally on both the sides) and two weights $w$ each are hung at the two ends, the elongation of wire (in units) will be
(a) zero
(b) $\frac{l}{2}$
(c) $l$
(d) $2 l$ | 1 |
What was again revised in May of 2010? | 0 |
17. The sum of integers from 1 to 100 that are divisible by 2 or 5 is .....
(1984, 2M) | 1 |
How do I choose between NSIT IT and DTU COE? | 0 |
What will be the next move by PM Modi to improve India? | 0 |
I would like to buy the Nikon D5500 as my first DSLR camera. Which lenses should I go with, 18-55 + 55-200 or 18-140mm? | 0 |
5. If $\alpha$ is a complex $n^{\text {th }}$ root of unity and if $z_{1}$ and $z_{2}$ are two complex numbers, then $\sum_{r=0}^{n-1}\left|z_{1}+\alpha^{r} z_{2}\right|^{2}=$
(a) $n^{2}\left|z_{1}+z_{2}\right|^{2}$
(b) $\left(\frac{z_{1}}{n}+\frac{z_{2}}{n}\right)^{2}$
(c) $n\left(\left|z_{1}\right|^{2}+\left|z_{2}\ri... | 1 |
What are some classical societies whose literature is still studied today? | 0 |
How is the word 'countermand' used in a sentence? | 0 |
What are the reasons behind the poor performance of India in Olympics? | 0 |
Do you also feel awful when one of your most stupid, funny answers which came out of nowhere and doesn't even prove to be productive, gets 200+ upvotes whereas those on which you've given time, hard work, love and excitement doesn't get more than 5 upvotes? | 0 |
What was the British Indian Army mostly composed of? | 0 |
What was the Interwar period marked by? | 0 |
If Satan is bad, why wouldn't we be rewarded by him if we also are bad? | 0 |
How did Matthew Arnold view "Culture" with? | 0 |
5. In which of the following cases is the acid strength highest?
(a) $K_{\mathrm{a}}=10^{-6}$
(b) $\mathrm{p} K_{\mathrm{a}}=5$
(c) $\mathrm{p} K_{\mathrm{b}}=10$
(d) $K_{\mathrm{b}}=10^{-11}$ | 1 |
How do I prepare my resume for TCS? | 0 |
What is the best Python learning book for beginners? | 0 |
Who are some notable people on Quora worth following? | 0 |
What if Google goes down for 24 hour? | 0 |
How reliable and accurate are New Choice pregnancy tests? | 0 |
- How many carbons are in the planar double-bond system in each of the following compounds?
(a)
 $R T$
(b) $1 / \sqrt{R T}$
(c) $\sqrt{R T}$
(d) 1 | 1 |
Which among these to chose for graduate school? | 0 |
33. The function $f(x)=\sin ^{-1}(\cos x)$ is
a. not differentiable at $x=\frac{\pi}{2}$
b. differentiable at $\frac{3 \pi}{2}$ c. differentiable at $x=0$
d. differentiable at $x=2 \pi$ | 1 |
What is the likelihood of war with Russia? | 0 |
What did Louis XIV believe about the modern man? | 0 |
23. Which force causes the train to elevate up ?
(a) Electrostatic force
(b) Time varying electric field
(c) Magnetic force
(d) Induced electric field | 1 |
How can I improve the height of an adjustable desk? | 0 |
79. In how many different ways can the first 12 natural numbers be divided into three different groups such that numbers in each group are in A.P.?
a. 1
b. 5
c. 6
d. 4 | 1 |
5. Which of the following is correct graph between $u$ and $v$ for a concave mirror for normal sign convention?
(a)
(b)
 The cube becomes negatively charged.
(b) The cube becomes positively charged.
(c) The interior becomes positively charged and the surface becomes negatively charged.
(d) The interior remains charge free and the surface gets nonuniform charge... | 1 |
What are some basic tips to learn French quickly? | 0 |
24. A substance absorbs $\mathrm{CO}_{2}$ and violently reacts with water. The substance is
(a) $\mathrm{CaCO}_{3}$
(b) $\mathrm{CaO}$
(c) $\mathrm{H}_{2} \mathrm{SO}_{4}$
(d) $\mathrm{ZnO}$ | 1 |
How can I invite investors to invest money for my idea? | 0 |
I am all fucked up in life and unable to control anything. What should I do? | 0 |
What region comprises of the Wallacea? | 0 |
1. Find the maximum frequency of the X-rays emitted by an X-ray tube operating at $30 \mathrm{kV}$. | 1 |
What are some great airport planning companies in Europe? | 0 |
Example 3 Show that
(i) $\sin ^{-1}\left(2 x \sqrt{1-x^{2}}\right)=2 \sin ^{-1} x,-\frac{1}{\sqrt{2}} \leq x \leq \frac{1}{\sqrt{2}}$
(ii) $\sin ^{-1}\left(2 x \sqrt{1-x^{2}}\right)=2 \cos ^{-1} x, \frac{1}{\sqrt{2}} \leq x \leq 1$ | 1 |
Who was one of the creators of the National Academy of Recording Arts and Sciences? | 0 |
12. Which one of the following species is not a pseudohalide?
(a) $\mathrm{CNO}^{-}$
(b) $\mathrm{RCOO}^{-}$
(c) $\mathrm{OCN}^{-}$
(d) $\mathrm{NNN}^{-}$ | 1 |
23. Element $X$ is strongly electropositive and element $Y$ is strongly electronegative. Both are univalent. The compound formed would be
(a) $X^{+} Y^{-}$
(b) $X^{-} X^{+}$
(c) $X-Y$
(d) $X \rightarrow Y$ | 1 |
7. The mean intensity of radiation on the surface of the sun is about $10^{8} \mathrm{~W} / \mathrm{m}^{2}$. The rms value of the corresponding magnetic field is closest to
(a) $1 \mathrm{~T}$
(b) $10^{2} \mathrm{~T}$
(c) $10^{-4} \mathrm{~T}$
(d) $10^{-2} \mathrm{~T}$ | 1 |
21. Let $E^{c}$ denote the complement of an event $E$. Let $E, F, G$ be pairwise independent events with $P(G)>0$ and $P(E \cap F \cap G)$ $=0$. Then $P\left(E^{C} \cap F^{C} / G\right)$ equals
a. $P\left(E^{\complement}\right)+P\left(F^{\complement}\right)$
b. $P\left(E^{\complement}\right)-P\left(F^{\complement}\righ... | 1 |
When are opposition parties allowed? | 0 |
Which will be worth, 15.4 inch Macbook pro 2015 or 13.3 inch Macbook pro 2016? | 0 |
17. $\mathrm{HBr}$ and $\mathrm{HI}$ reduce sulphuric acid, $\mathrm{HCl}$ can reduce $\mathrm{KMnO}_{4}$ and $\mathrm{HF}$ can reduce
(a) $\mathrm{H}_{2} \mathrm{SO}_{4}$
(b) $\mathrm{KMnO}_{4}$
(c) $\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}$
(d) none of the above | 1 |
11. When does a gas deviate the most from its ideal behaviour?
(a) At low pressure and low temperature
(b) At low pressure and high temperature
(c) At high pressure and low temperature
(d) At high pressure and high temperature | 1 |
23. Among the electrolytes $\mathrm{Na}_{2} \mathrm{SO}_{4}, \mathrm{CaCl}_{2}, \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ and $\mathrm{NH}_{4} \mathrm{Cl}$, the most effective coagulating agent for $\mathrm{Sb}_{2} \mathrm{~S}_{3}$ sol is
(a) $\mathrm{Na}_{2} \mathrm{SO}_{4}$
(b) $\mathrm{CaCl}_{2}$
(c) $\m... | 1 |
45. Upon heating with $\mathrm{Cu}_{2} \mathrm{~S}$, the reagent(s) that give copper metal is/are
(a) $\mathrm{CuFeS}_{2}$
(b) $\mathrm{CuO}$
(c) $\mathrm{Cu}_{2} \mathrm{O}$
(d) $\mathrm{CuSO}_{4}$ | 1 |
3. Let $a, b, c$ be the real numbers. Then following system of equations in $x, y$ and $z, \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}-\frac{z^{2}}{c^{2}}=1, \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1$, $-\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1$, has
a. no solution
b. unique solutio... | 1 |
11. The degree of the differential equation
$$
\left(\frac{d^{2} y}{d x^{2}}\right)^{3}+\left(\frac{d y}{d x}\right)^{2}+\sin \left(\frac{d y}{d x}\right)+1=0 \text { is }
$$
(A) 3
(B) 2
(C) 1
(D) not defined | 1 |
2. Consider
$$
\begin{aligned}
& L_{1}: 2 x+3 y+p-3=0 \\
& L_{2}: 2 x+3 y+p+3=0
\end{aligned}
$$
where $p$ is a real number, and $C: x^{2}+y^{2}+6 x-10 y+30=0$.
Statement 1: If line $L_{1}$ is a chord of circle $C$, then line $L_{2}$ is not always a diameter of circle $C$.
and
Statement 2: If line $L_{1}$ is a dia... | 1 |
3. The type of hybridisation and number of lone pair(s) of electrons of $\mathrm{Xe}$ in $\mathrm{XeOF}_{4}$, respectively, are:
(a) $s p^{3} d^{2}$ and 1
(b) $s p^{3} d$ and 2
(c) $s p^{3} d^{2}$ and 2
(d) $s p^{3} d$ and 1 | 1 |
What methods make up Education? | 0 |
How do you tell if your best friend likes you? | 0 |
What should we do after the first date? | 0 |
What did CBS call ARC after buying it? | 0 |
What are some substitutes for milk in a recipe? | 0 |
Example 1.75 If $f(x)=\sin x+\cos a x$ is a periodic function, show that $a$ is a rational number. | 1 |
6. What is the ratio of de-Broglie wavelength of electron in the second and third Bohr orbits in the hydrogen atoms?
(a) $2 / 3$
(b) $3 / 2$
(c) $4 / 3$
(d) $3 / 4$ | 1 |
6. Two open beakers one containing a solvent and the other containing a mixture of that solvent with a non volatile solute are together sealed in a container. Over time:
(a) the volume of the solution increases and the volume of the solvent decreases
(b) the volume of the solution decreases and the volume of the so... | 1 |
2. Let $f(x)=x^{4}-4 x^{3}+6 x^{2}-4 x+1$, then
a. $f$ increases on $[1, \infty)$
b. $f$ decreases on $[1, \infty$ )
c. $f$ has a minimum at $x=1$
d. $f$ has neither maximum nor minimum | 1 |
Ex. 48. 1.245 g of $\mathrm{CuSO}_{4} \cdot x \mathrm{H}_{2} \mathrm{O}$ was dissolved in water and $\mathrm{H}_{2} \mathrm{~S}$ was passed into it till CuS was completely precipitated. The $\mathrm{H}_{2} \mathrm{SO}_{4}$ produced in the filtrate required 10 mL of N NaOH solution. Calculate $x$. | 1 |
11. Estimate the number of molecules left in a volume of the size of a pinhead about 1 cubic mm when the air is pumped out to give a vacuum of $10^{-6} \mathrm{mmHg}$ at $25^{\circ} \mathrm{C}$. | 1 |
72. Let $f(x)=\left|\begin{array}{ccc}2 \cos ^{2} x & \sin 2 x & -\sin x \\ \sin 2 x & 2 \sin ^{2} x & \cos x \\ \sin x & -\cos x & 0\end{array}\right|$. Then the value of $\int_{0}^{\pi / 2}\left[f(x)+f^{\prime}(x)\right] d x$ is
a. $\pi$
b. $\pi / 2$
c. $2 \pi$
d. $3 \pi / 2$ | 1 |
Is there a practice test for the Red Cross Lifeguard test? | 0 |
1. Work done by friction in pure rolling is always zero. Is this statement true or false? | 1 |
21. The graph between $1 / \lambda$ and stopping potential $(V)$ of three metals having work functions $\phi_{1}, \phi_{2}$ and $\phi_{3}$ in an experiment of photoelectric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? (Here, $\lambda$ is the wavelength of the incident ra... | 1 |
Was the Mexican-American War justified? | 0 |
A family has three pets. The pets are either cats or dogs. What is the probability that at least one pet is a cat? | 0 |
44. A simple pendulum of length 1 feet suspended from the ceiling of an elevator takes $\pi / 3$ seconds to complete one oscillation. Find the acceleration of the elevator. | 1 |
Example 32 Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin ^{4} x}{\sin ^{4} x+\cos ^{4} x} d x$ | 1 |
What are the basic requirements to trade a Mutual Fund on the Indian stock exchange? | 0 |
Example 11.7 An iron bar $\left(L_1=0.1 \mathrm{~m}, A_1\right.$ $\left.=0.02 \mathrm{~m}^2, K_{\mathrm{a}}=79 \mathrm{~W} \mathrm{~m}^{-1} \mathrm{~K}^{-1}\right)$ and a brass bar $\left(L_2=0.1 \mathrm{~m}, A_2=0.02 \mathrm{~m}^2\right.$, $K_2=109 \mathrm{~W} \mathrm{~m}^{-1} \mathrm{~K}^{-1}$ ) are soldered end to e... | 1 |
I have a $20k charged off loan in collection. If I start making regular payments, can I have the balance moved out of collections on my credit report? | 0 |
Which is the best foreign language to learn, and why ? | 0 |
Example 8 Find the equation of a curve passing through the point $(-2,3)$, given that the slope of the tangent to the curve at any point $(x, y)$ is $\frac{2 x}{y^{2}}$. | 1 |
9. In the arrangement shown in the figure the rod $R$ is restricted to move in the vertical direction with acceleration $a_{1}$, and the block $B$ can slide down the fixed wedge with acceleration $a_{2}$. The correct relation between $a_{1}$ and $a_{2}$ is given by
(a) $a_{2}=a_{1} \sin \theta$
(b) $a_{2} \sin \theta... | 1 |
Example 7.12 Find the value of the determinant
$$
\left|\begin{array}{ccc}
\sqrt{(13)}+\sqrt{3} & 2 \sqrt{5} & \sqrt{5} \\
\sqrt{(15)}+\sqrt{(26)} & 5 & \sqrt{(10)} \\
3+\sqrt{(65)} & \sqrt{(15)} & 5
\end{array}\right|
$$ | 1 |
Is chlorinated shower water bad for the more sensitive areas of the body? | 0 |
3.
\begin{array}{|l|l|}
\hline \text { Column I } & \text { Column II } \\
\hline \begin{array}{r}
\text { a. If } a, b, c \text { and } d \text { are four zero real number } \\
\text { such that }(d+a-b)^2+(d+b-c)^2=0 \text { and } \\
\text { the roots of the equation } a(b-c) x^2+b(c \\
-a) x+c(a-b)=0 \text { are re... | 1 |
29. According to molecular orbital theory which of the following statement about the magnetic character and bond order is correct regarding $\mathrm{O}_{2}^{+}$
(a) Paramagnetic and Bond order $<\mathrm{O}_{2}$
(b) Paramagnetic and Bond order $>\mathrm{O}_{2}$
(c) Diamagnetic and Bond order ... | 1 |
15. Equation of common tangent of $y=x^{2}, y=-x^{2}+4 x-4$ is
(a) $y=4(x-1)$
(b) $y=0$
(c) $y=-4(x-1)$
(d) $y=-30 x-50$ | 1 |
28. For all real values of $x$, the minimum value of $\frac{1-x+x^{2}}{1+x+x^{2}}$ is
(A) 0
(B) 1
(C) 3
(D) $\frac{1}{3}$ | 1 |
14. A metal surface is illuminated by light of two different wavelengths $248 \mathrm{~nm}$ and $310 \mathrm{~nm}$. The maximum speeds of the photoelectrons corresponding to these wavelengths are $u_{1}$ and $u_{2}$, respectively. If the ratio $u_{1}: u_{2}=2: 1$ and $h c=1240 \mathrm{e} \mathrm{V} \mathrm{nm}$, the wo... | 1 |
Does Quora hide some answers? | 0 |
What are the two largest political parties in the UK? | 0 |
Which state is not a member of the Southeast Asian Nations (ASEAN)? | 0 |
21. Which one of the following statements is false?
(a) Work is a state function.
(b) Temperature is a state function.
(c) Change in the state is completely defined when the initial and final states are specified.
(d) Work appears at the boundary of the system. | 1 |
Question 26:
$$
\int_0^{\frac{\pi}{4}} \frac{\sin x \cos x}{\cos ^4 x+\sin ^4 x} d x
$$ | 1 |
1. The charge flown through wires as a function of time $t$ is
(a) $q_{0} e^{-t / R C}+\frac{C}{C_{2}} q_{0}$
(b) $\frac{q_{0} C}{C_{1}} \times\left[1-e^{-t / R C}\right]$
(c) $q_{0} \frac{C}{C_{1}} e^{-t / C R}$
(d) $q_{0} e^{-l / R C}$
where, $C=\frac{C_{1} C_{2}}{C_{1}+C_{2}}$ | 1 |
1. Electric conduction in a semiconductor takes place due
to
(a) electrons only (b) holes only
(c) both electrons and holes
(d) neither electrons nor holes. | 1 |
Why do the food products in the store say kosher or halal, when atheists shop there? | 0 |
12. Figure (11-Q2) shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If $t_{1}$ and $t_{2}$ be the time taken by the planet to go from $a$ to $b$ and from $c$ to $d$ respectively,
(a) $t_{1}<t_{2}$
(b) $t_{1}=t_{2}$
(c) $t_{1}>t_{2}$
(d) insufficient information to deduce the r... | 1 |
Comic critics, such as McCloud, stressed that sequences of what should be primary? | 0 |
How can you determine the steel weight formula? | 0 |
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