Question stringlengths 2 3k | label int64 0 1 |
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Where can a reader find more information on text variants after noticing a footnote? | 0 |
4. Find the equation of the line which passes through the point $(1,2,3)$ and is parallel to the vector $3 \hat{i}+2 \hat{j}-2 \hat{k}$. | 1 |
What do you think about the difference of table manners between China and Western culture? | 0 |
6. $\lim _{h \rightarrow 0} \frac{2\left[\sqrt{3} \sin \left(\frac{\pi}{6}+h\right)-\cos \left(\frac{\pi}{6}+h\right)\right]}{\sqrt{3} h(\sqrt{3} \cos h-\sin h)}$ | 1 |
How do you make money online? | 0 |
How were prisoners treated in ancient Rome? | 0 |
60. Sodium nitrate decomposes above $800^{\circ} \mathrm{C}$ to give
(a) $\mathrm{N}_{2}$
(b) $\mathrm{O}_{2}$
(c) $\mathrm{NO}_{2}$
(d) $\mathrm{Na}_{2} \mathrm{O}$ | 1 |
Which organization is most notable for adopting the global coverage of these studies? | 0 |
2. In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to
(a) $\frac{175}{6^{5}}$
(b) $\frac{225}{6^{5}}$
(c) $\frac{200}{6^{5}}$
(d) $\frac{150}{6^{5}}$
(2019 Main, 12 Jan I) | 1 |
Is it more dangerous to be a member of the American police or military? | 0 |
How can I increase traffic on my blog? | 0 |
24. The force of viscosity is
(a) electromagnetic (b) gravitational (c) nuclear (d) weak. | 1 |
Why should I learn Scala? | 0 |
I can never concentrate while studying? | 0 |
How do I best way to get over an ex? | 0 |
Which meditation technique did Swami Vivekananda use? | 0 |
5.4 One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$ the net force on the particle (directed towards the centre) is :
(i) $T$, (ii) $T-\frac{m v^{2}}{l}$, (iii) $T+\frac{m v^{2}}{l}$, (iv... | 1 |
Are you willing to go to jail for 15 years in exchange for 5 billion dollars? | 0 |
37. Two reactions (i) $A \rightarrow$ products, (ii) $B \rightarrow$ products, follows first order kinetics. The rate of the reaction : $(i)$ is doubled when the temperature is raised from $300 \mathrm{~K}$ to $310 \mathrm{~K}$. The half life for this reaction at $310 \mathrm{~K}$ is 30 minutes. At the same temperature... | 1 |
1. 1 g of helium gas is confined in a two-litre flask under a pressure of 2.05 atm . What is its temperature?
(200 K) | 1 |
9. $\lim _{n \rightarrow \infty} \frac{-3 n+(-1)^{n}}{4 n-(-1)^{n}}$ is equal to
a. $-\frac{3}{4}$
b. 0 if $n$ is even
c. $-\frac{3}{4}$ if $n$ is odd
d. None of these | 1 |
Can all females be called ladies? | 0 |
What caused the Maratha Empire to split in 1761? | 0 |
2. Find the equation of the straight lines touching both $x^{2}+y^{2}=2 a^{2}$ and $y^{2}=8 a x$. | 1 |
What did these early schools during the Middle Ages evolve into? | 0 |
15. The major product of the following reaction is :
[Main Online April 16, 2018]
(a)
(b)
 regarding the complex $\left[\mathrm{Co}(\mathrm{en})\left(\mathrm{NH}_{3}\right)_{3}\left(\mathrm{H}_{2} \mathrm{O}\right)\right]^{3+}$ (en $=\mathrm{H}_{2} \mathrm{NCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}$ ) is (are)
(a) It has two geometrical isomers
[Adv. 2018]
(b) It will have three ge... | 1 |
If we had another civil war and it was North versus South, which side would win? | 0 |
45. In $\triangle A B C$ the coordinates of the vertex $A$ are $(4,-1)$ and lines $x-y-1=0$ and $2 x-y=3$ are internal bisectors of angles $B$ and $C$. Then, radius of incircle of triangle $A B C$ is
a. $4 / \sqrt{5}$
b. $3 / \sqrt{5}$
c. $6 / \sqrt{5}$
d. $7 / \sqrt{5}$ | 1 |
3. In the circuit shown in figure, the capacitors are initially uncharged. The current through resistor $P Q$ just after closing the switch is
(a) $2 \mathrm{~A}$ from $P$ to $Q$
(b) $2 \mathrm{~A}$ from $Q$ to $P$
(c) 6 A from $P$ to $Q$
(d) zero
 Cs
(b) $\mathrm{Si}$
(c) $\mathrm{Sn}$
(d) $\mathrm{Ti}$ | 1 |
21. Give reasons for the following :
(i) tert-Butylbenzene does not give benzoic acid on treatment with acidic $\mathrm{KMnO}_{4}$.
[2000 - 1 Mark]
(ii) Toluene reacts with bromine in the presence of light to give benzyl bromide while in presence of $\mathrm{FeBr}_{3}$ it gives $p$ bromotoluene. Give explanation for... | 1 |
What was the Indian Rebellion of 1857 also called? | 0 |
11.30 A certain salt X, gives the following results.
(i) Its aqueous solution is alkaline to litmus.
(ii) It swells up to a glassy material Y on strong heating.
(iii) When conc. $\mathrm{H}_2 \mathrm{SO}_4$ is added to a hot solution of X . white crystal of an acid $Z$ separates out.
Write equations for all the above r... | 1 |
5. Three charges $+Q, q,+Q$ are placed respectively at distance $0, \frac{d}{2}$ and $d$ from the origin on the $X$-axis. If the net force experienced by $+Q$ placed at $x=0$ is zero, then value of $q$ is
(a) $\frac{+Q}{2}$
(b) $\frac{+Q}{4}$
(c) $\frac{-Q}{2}$
(d) $\frac{-Q}{4}$ | 1 |
\section*{Problem 1.1}
Calculate the molecular mass of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ molecule. | 1 |
1. The transverse displacement $y(x, t)$ of a wave in a string is given by $\left.y(x, t)=\mathrm{e}^{-(\mathrm{a}} x^{2+\mathrm{b}} t^{2+2} \sqrt{\mathrm{ab}} x t\right)$. This represents $a$ :
(a) standing wave of frequency $\frac{1}{\sqrt{b}}$
(b) wave moving in + ve $x$-direction with speed $\sqrt{\frac{a}{b}}$.
... | 1 |
What do kazakhs think of borat? | 0 |
When did the Deutsche Bank publish a report on the findings of the value of the reserves south of Crete? | 0 |
Example 13.8 A cylinder of fixed capacity 44.8 litres contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by $15.0^{\circ} \mathrm{C} ?\left(R=8.31 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$. | 1 |
Which ideas do scientist lean towards causing sexual orientation? | 0 |
Who benefits from political corruption? | 0 |
41. The organic product formed in the reaction
(a) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{OH}$
(b) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{COOH} \& \mathrm{CH}_{4}$
(c) $\ma... | 1 |
How do you read and retain effectively? | 0 |
Is a graduate degree in developmental and child psychology worth it? Why? | 0 |
24. Which of the following $0.1 \mathrm{M}$ aqueous solutions will have the lowest freezing point?
(a) Potassium sulphate
(b) Sodium chloride
(c) Urea
(d) Glucose | 1 |
2. A wooden block floating in a bucket of water has $\frac{4}{5}$ of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is (2019 Main, 9 ... | 1 |
What script variant was used to write the Sanskrit language? | 0 |
16. Which of the following is the most stable conformation of bromocyclohexane?
(A) I
(B) II
(C) III
(D) IV
(E) $\mathrm{V}$ | 1 |
2.55. For the case of an ideal gas find the equation of the process (in the variables $T, V$ ) in which the molar heat capacity varies as:
(a) $C=C_{V}+\alpha T$; (b) $C=C_{V}+\beta V$; (c) $C=C_{V}+a p$, where $\alpha, \beta$, and $a$ are constants. | 1 |
20. Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is
a. $2-\sqrt{3}$
b. $2+\sqrt{3}$
c. $\sqrt{3}-2$
d. $3+\sqrt{2}$ | 1 |
Creating nail acrylic colors? | 0 |
In the time of Atenism, what was God called? | 0 |
5. Let $L$ be a normal to the parabola $y^{2}=4 x$. If $L$ passes through the point $(9,6)$, then $L$ is given by
a. $y-x+3=0$
b. $y+3 x-33=0$
c. $y+x-15=0$
d. $y-2 x+12=0$ | 1 |
13. What is the potential of a cell containing two hydrogen electrodes, the negative one in contact with $10^{-8}$ molar $\mathrm{H}^{+}$and the positive one in contact with 0.025 molar $\mathrm{H}^{+}$?
( 0.379 volt) | 1 |
What are the big data analytics tools that don't require any programming? | 0 |
Is nihilism the only truth? | 0 |
117. The equation of the circle passing through the point of intersection of the circles $x^{2}+y^{2}-4 x-2 y=8$ and $x^{2}+y^{2}-2 x-4 y=8$ and the point $(-1,4)$ is
a. $x^{2}+y^{2}+4 x+4 y-8=0$
b. $x^{2}+y^{2}-3 x+4 y+8=0$
c. $x^{2}+y^{2}+x+y-8=0$
d. $x^{2}+y^{2}-3 x-3 y-8=0$ | 1 |
What items from home can be used in a Miss Frizzle Halloween costume? | 0 |
Why do people get bored with their lives? | 0 |
2. The pairs of physical quantities that have the same dimensions is (are )
(a) Reynolds number and coefficient of friction
(b) Curie and frequency of a light wave
(c) Latent heat and gravitational potential
(d) Planck's constant and torque | 1 |
9. The position vectors of the points $P$ and $Q$ with respect to the origin $O$ are $\vec{a}=\hat{i}+3 \hat{j}-2 \hat{k}$ and $\vec{b}=3 \hat{i}-\hat{j}-2 \hat{k}$, respectively. If $M$ is a point on $P Q$, such that $O M$ is the bisector of $P O Q$, then $\overrightarrow{O M}$ is
a. $2(\hat{i}-\hat{j}+\hat{k})$
b. $2... | 1 |
8. Find total number of Geometrical isomerism of following compounds.
(A) 0
(B) 8
(C) 4
(D) 2 | 1 |
When was the Unilateral Declaration of Independence of Rhodesia? | 0 |
Does masturbation cause hair loss? | 0 |
My ticket waiting list is RLWL/1 can chanse to confirm? | 0 |
12. What is the correct order of acidic strength?
(A) I $>$ II $>$ III $>$ IV
(B) IV $>$ I $>$ II $>$ III
(C) III $>$ IV $>$ I $>$ II
(D) I $>$ III $>$ II $>$ IV | 1 |
2. For a transistor amplifier, the voltage gain
(a) remains constant for all frequencies
(b) is high at high and low frequencies and constant in the middle frequency range
(c) is low at high and low frequencies and constant at mid frequencies
(d) None of the above | 1 |
2.26 An atom of an element contains 29 electrons and 35 neutrons. Deduce (i) the number of protons and (ii) the electronic configuration of the element. | 1 |
7. Two charges, each equal to $q$, are $\operatorname{kept}$ at $x=-a$ and $x=a$ on the $x$-axis. A particle of mass $m$ and charge $q_{0}=\frac{q}{2}$ is placed at the origin. If charge $q_{0}$ is given a small displacement $y(y<a)$ along the $y$-axis, the net force acting on the particle is proportional to
(a) $y$
(b... | 1 |
What are some examples of carnivores and omnivores? | 0 |
What was the military partnership between countries aligned with the Soviet Union called? | 0 |
When are these texts first able to reach a large amount of people? | 0 |
(iii) 2 moles of carbon are burnt in 16 g of dioxygen. | 1 |
What is impossible? | 0 |
What is happening to the Middle East? | 0 |
13. Ag is electrodeposited on a metallic vessel of surface area $800 \mathrm{~cm}^{2}$ by passing a current of 0.2 amp for three hours. Calculate the thickness of silver deposited, given its density is $10.47 \mathrm{~g} / \mathrm{cc}$.
$$
\left(2.88 \times 10^{-4} \mathrm{~cm}\right)
$$ | 1 |
What writing was considered a bridge between two other major writings? | 0 |
2.53 The ejection of the photoelectron from the silver metal in the photoelectric effect experiment can be stopped by applying the voltage of 0.35 V when the radiation 256.7 nm is used. Calculate the work function for silver metal. | 1 |
What is a suitable solar panel installation provider near Ridgecrest, California CA? | 0 |
What is unusual or different about the food and cuisine in Vietnam? | 0 |
106.If two different tangents of $y^{2}=4 x$ are the normals to $x^{2}=4 b y$ then
a. $|b|>\frac{1}{2 \sqrt{2}}$
b. $|b|<\frac{1}{2 \sqrt{2}}$
c. $|b|>\frac{1}{\sqrt{2}}$
d. $|b|<\frac{1}{\sqrt{2}}$ | 1 |
The question was marked as needing improvement. Just now? | 0 |
What does system engineer do? | 0 |
3.157. Two metal balls of the same radius $a$ are located in a homogeneous poorly conducting medium with resistivity $\rho$. Find the resistance of the medium between the balls provided that the separation between them is much greater than the radius of the ball. | 1 |
How much is from Nairobi to Cameroon? | 0 |
What major tennis stadium is located in New Delhi? | 0 |
What could it mean if my period was 11days late and my period was lighter then normal? | 0 |
Where does soy sauce gets its black color? | 0 |
What ideal proportion did Alberti promote? | 0 |
(a) What are the potentials at the points $A$ and $C$ ? | 1 |
4. Two ideal slits $S_{1}$ and $S_{2}$ are at a distance $d$ apart, and illuminated by light of wavelength $\lambda$ passing through an ideal source slit S placed on the line through $S_{2}$ as shown. The distance between the planes of slits and the source slit is $D$. A screen is held at a distance $D$ from the plane ... | 1 |
If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll less than a 6? | 0 |
29. The water vapour pressure at 293 K is 2338 Pa and the vapour pressure of an aqueous solution is 2295.8 Pa . Determine its osmotic pressure at 313 K if the
solution density at this temperature is $1010 \mathrm{~kg} / \mathrm{m}^{3}$. The molecular weight of the solute is 60 .
$\left(2.56 \times 10^{6} \mathrm{~Pa}\r... | 1 |
Art and music were some of these forms of cultural related to what type of living? | 0 |
14. $2 \mathrm{~kg}$ of ice at $-20^{\circ} \mathrm{C}$ is mixed with $5 \mathrm{~kg}$ of water at $20^{\circ} \mathrm{C}$ in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are $1 \mathrm{kcal} / ... | 1 |
How do I stop not appreciating things around me? | 0 |
Working of marine propulsion system in ships? | 0 |
The tool that was invented to stain only a small fractions of neurons was called what? | 0 |
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