Question stringlengths 2 3k | label int64 0 1 |
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16. After understanding the assertion and reason, choose the correct option.
Assertion : In the bonding molecular orbital (MO) of $\mathrm{H}_{2}$, electron density is increased between the nuclei.
Reason : The bonding MO is $\Psi_{\mathrm{A}}+\Psi_{\mathrm{B}}$, which shows destructive interferenc... | 1 |
What's your view on afterlife? | 0 |
49. If $A=\left[\begin{array}{cc}0 & -\tan \alpha / 2 \\ \tan \alpha / 2 & 0\end{array}\right]$ and $I$ is a $2 \times 2$ unit matrix, then $(I-A)\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \sin \alpha\end{array}\right]$ is
a. $-I+A$
b. $I-A$
c. $-I-A$
d. none of these | 1 |
3. Let $[x]$ denote the greatest integer less than or equal to $x$. Then,
$$
\lim _{x \rightarrow 0} \frac{\tan \left(\pi \sin ^{2} x\right)+(|x|-\sin (x[x]))^{2}}{x^{2}}
$$
(2019 Main, 11 Jan I)
(a) equals $\pi$
(b) equals $\pi+1$
(c) equals 0
(d) does not exist | 1 |
14. Which of the following statements is correct for $\mathrm{CsBr}_{3}$ ?
(a) It is a covalent compound.
(b) It contains $\mathrm{Cs}^{3+}$ and $\mathrm{Br}^{-}$ions.
(c) It contains $\mathrm{Cs}^{+}$and $\mathrm{Br}_{3}$ ions
(d) It contains $\mathrm{Cs}^{+}$, and $\mathrm{Br}^{-}$and lattice $\mathrm{Br}_{2}$ ... | 1 |
32. A 0.02 M solution of $\mathrm{CH}_3 \mathrm{COONa}$ in water at $25^{\circ} \mathrm{C}$ is found to have an $\mathrm{H}^{+}$ concentration of $3 \times 10^{-9} \mathrm{~g}$ ionic weight per litre. What is the hydrolytic constant of the salt? $K_{\mathrm{w}}=1.01 \times 10^{-14}, K_{\mathrm{a}}\left(\mathrm{CH}_3 \m... | 1 |
What are good colleges for doing MS in CS in Canada? | 0 |
- Example 17 A small disc A slides down with initial velocity equal to zero from the top of a smooth hill of height $H$ having a horizontal portion. What must be the height of the horizontal portion $h$ to ensure the maximum distance $s$ covered by the disc? What is it equal to?
$. The line $P Q$ is rotated about $P$ through $45^{\circ}$ in the anticlockwise direction. The equation of the line $P Q$ in the new position is
a. $y=-\sqrt{2}$
b. $y=2$
c. $x=2$
d. $x=-2$ | 1 |
5. If $f(x)=\left\{\begin{array}{ll}\frac{1-|x|}{1+x} ; & x \neq-1 \\ 1 ; & x=-1\end{array}\right.$, then $f([2 x])$ where $[\cdot]$ represents the greatest integer function is
a. discontinuous at $x=-1$
b. continuous at $x=0$
c. continuous at $x=1 / 2$
d continuous at $x=1$ | 1 |
34. In the expansion of $\left(3^{-x / 4}+3^{5 x / 4}\right)^{n}$ the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by $(n-1)$, the value of $x$ must be
a. $\mathrm{O}$
b. 1
c. 2
d. 3 | 1 |
Who are the people you consider as good/bad luck and why? | 0 |
(a) Find the first excitation potential of $\mathrm{He}^{+}$ion. | 1 |
What is the quality of Value City furniture? | 0 |
Why do people play mind games with people they claim to care about? | 0 |
7. If the vectors $\hat{i}-\hat{j}, \hat{j}+\hat{k}$ and $\vec{a}$ form a triangle, then $\vec{a}$ may be
a. $-\hat{i}-\hat{k}$
b. $\hat{i}-2 \hat{j}-\hat{k}$
c. $2 \hat{i}+\hat{j}+\hat{k}$
d. $\hat{i}+\hat{k}$ | 1 |
25. Rurtherford's experiment, which established the nuclear model of the atom, used a beam of
(a) $\beta$-particles, which impinged on a metal foil and got absorbed
(b) $\gamma$-rays, which impinged on a metal foil and ejected electrons
(c) helium atoms, which impinged on a metal foil and got scattered
(d) helium... | 1 |
I am new in the world of Linux OS. What is the best possible way to learn this OS (like learning terminal activities and some basic file system)? | 0 |
Is the Declaration of Independence a legal document? | 0 |
10. The covalent alkaline earth metal halide $(\mathrm{X}=\mathrm{Cl}, \mathrm{Br}, \mathrm{I})$ is :
(a) $\mathrm{MgX}_{2}$
(b) $\mathrm{CaX}_{2}$
(c) $\mathrm{BeX}_{2}$
(d) $\mathrm{SrX}_{2}$ | 1 |
4. Critical angle of light passing from glass to air is least for
(a) red
(b) green
(c) yellow
(d) violet | 1 |
What policy statement has almost all proffesionals applied to their practices? | 0 |
20. The inequality $|z-4|<|z-2|$ represents the region given by
(a) $\operatorname{Re}(z) \geq 0$
(b) $\operatorname{Re}(z)<0$
(c) $\operatorname{Re}(z)>0$
(d) None of these
(1982, 2M) | 1 |
73. If $\tan ^{2} \theta=2 \tan ^{2} \phi+1$, then $\cos 2 \theta+\sin ^{2} \phi$ equals
a. -1
b. 0
c. 1
d none of these | 1 |
10. When an electric current is passes through acidified water, $112 \mathrm{~mL}$ of hydrogen gas at N.T.P. was collected at the cathode in 965 seconds. The current passed, in ampere, is :
(a) 2.0
(b) 0.1
(c) 0.5
(d) 1.0 | 1 |
What may be the expected cutoff for NSTE stage 1 for Maharashtra? | 0 |
How do I lose 10 kgs in a month? | 0 |
5. Statement 1: If $a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k}, b_{1} \hat{i}+b_{2} \hat{j}+b_{3} \hat{k}$ and $c_{1} \hat{i}+c_{2} \hat{j}+c_{3} \hat{k}$ are three mutually perpendicular unit vectors, then $a_{1} \hat{i}+b_{1} \hat{j}+c_{1} \hat{k}, a_{2} \hat{i}+b_{2} \hat{j}+c_{2} \hat{k}$ and $a_{3} \hat{i}+b_{3} \h... | 1 |
Where was Napoleon Bonaparte born? | 0 |
How can I create a headphone company? | 0 |
11. The period of oscillations of a point is $0.04 \mathrm{~s}$ and the velocity of propagation of oscillation is $300 \mathrm{~m} / \mathrm{s}$. The difference of phases between the oscillations of two points at distance $10 \mathrm{~m}$ and $16 \mathrm{~m}$ respectively from the source of oscillations is
(a) $2 \pi$
... | 1 |
I am jobless after btech in 2012,I have this thought of going to Ameerpet to do some course and give interview with fake experience .what to do? | 0 |
Is cows milk bad for your health? | 0 |
How do I join WikiLeaks? | 0 |
How do I get my leg fractured? | 0 |
Is it okay for a non-Muslim woman to wear a headscarf for non-religious reasons, or would this be considered cultural appropriation? | 0 |
54. The correct set of four quantum numbers for the valence electrons of rubidium atom $(Z=37)$ is
(a) $5,0,0,+\frac{1}{2}$
(b) $5,1,0,+\frac{1}{2}$
(c) $5,1,1,+\frac{1}{2}$
(d) $5,0,1,+\frac{1}{2}$
[Hint: Valence electron is $5 \mathrm{~S}^{\prime}$ ] | 1 |
Couldn't we lose weight just by drinking ice cold water? | 0 |
15. Two identical smooth surfaced solid cylinders of radius $r$ are placed touching along their lengths on a horizontal surface. A third cylinder of same material but twice the radius of that of the cylinders is placed lengthwise on them so that the system remains at rest. If all three cylinders have the same length, t... | 1 |
Petrarch felt that although he tried to do his own form of good whose life may have more meaning? | 0 |
4. If $f(x)=(1+x)^{n}$, then find the value of $f(0)+f^{\prime}(0)+$
$$
\frac{f^{\prime \prime}(0)}{2!}+\frac{f^{\prime \prime \prime}(0)}{3!}+\cdots+\frac{f^{n}(0)}{n!}
$$ | 1 |
8. If $f(x)$ is differentiable and strictly increasing function, then the value of $\lim _{x \rightarrow 0} \frac{f\left(x^{2}\right)-f(x)}{f(x)-f(0)}$ is
a. 1
b. 0
c. -1
d 2
(ITT-JEE, 2004) | 1 |
Dota 2: What is a core hero? | 0 |
In the middle o what century did the Kushan empire begin? | 0 |
What did the missing plenary reception do? | 0 |
21. A chemist has 4 samples of artificial sweetener A, B, C and D. To identify these samples, he performed certain experiments and noted
the following observations:
(I) $\mathrm{A}$ and $\mathrm{D}$ both form blue-violet colour with ninhydrin.
(II) Lassaigne extract of $\mathrm{C}$ gives positive $\mathrm{AgNO}_{3}... | 1 |
What are the best torrent sites to download contents as kickass torrent has become offline? | 0 |
What is the type of hybridisation of each carbon in the following compounds?
(a) $\mathrm{CH}_3 \mathrm{Cl}$,
(b) $\left(\mathrm{CH}_3\right)_2 \mathrm{CO}$,
(c) $\mathrm{CH}_3 \mathrm{CN}$,
(d) $\mathrm{HCONH}_2$,
(e) $\mathrm{CH}_3 \mathrm{CH}=\mathrm{CHCN}$ | 1 |
Super Smash Bros. Brawl: What is the best strategy against Kirby? | 0 |
In which countries did the British Isles provide most of the founding settlers? | 0 |
4. The function $f(x)=\frac{\left(3^{x}-1\right)^{2}}{\sin x \cdot \ln (1+x)}, x \neq 0$, is continuous at $x=0$. Then the value of $f(0)$ is
a. $2 \log _{e} 3$
b. $\left(\log _{e} 3\right)^{2}$
c. $\log _{e} 6$
d. None of t11. | 1 |
In terms of geography, which country is the most difficult to govern? | 0 |
Which group became extinct after living in the region for about 12,000 years? | 0 |
15. The line $L$
a. does not intersect $A B$
b. does not intersect $O B$
c. does not intersect $O A$
d. can intersect all the sides | 1 |
Can India become a good place for sex tourism for foreign females and earn revenue for the country? | 0 |
Should I text my crush? | 0 |
27. A farmer buys a used tractor for Rs 12000 . He pays Rs 6000 cash and agrees to pay the balance in annual instalments of Rs 500 plus $12 \%$ interest on the unpaid amount. How much will the tractor cost him? | 1 |
What is the best way to prepare for CA final group1 papers? | 0 |
3. The majorproduct [C] of the following reaction sequence will be :
... | 1 |
38. Carbylamine test is performed in alcoholic $\mathrm{KOH}$ by heating a mixture of :
(a) chloroform and silver powder
(b) trihalogenatedmethane and a primary amine
(c) an alkyl halide and a primary amine
(d) an alkyl cyanide and a primary amine | 1 |
What are the various job opportunities for electrical engineers? | 0 |
10. $\int \sin ^{3} x \cos ^{2} x d x$ | 1 |
What type of sails were first used during this era? | 0 |
13. The number of values of $\theta$ in the interval $-\frac{\pi}{2}, \frac{\pi}{2}$ such that $\theta \neq \frac{n \pi}{5}$ for $n=0, \pm 1, \pm 2$ and $\tan \theta=\cot 5 \theta$ as well as $\sin 2 \theta=\cos 4 \theta$ is...... | 1 |
Of the Southeast Asian countries, which one's key economic development is based on Tourism? | 0 |
When was the concept of 'education through recreation' changed and expanded? | 0 |
4. A $60 \mathrm{~kg}$ man pushes a $40 \mathrm{~kg}$ man by a force of $60 \mathrm{~N}$. The $40 \mathrm{~kg}$ man has pushed the other man with a force of
(a) $40 \mathrm{~N}$
(b) 0
(c) $60 \mathrm{~N}$
(d) $20 \mathrm{~N}$. | 1 |
Which will be the best career options after 12th in 2017? | 0 |
Example 3.77 If the tangent at the point $P(2,4)$ to the parabola $y^{2}=8 x$ meets the parabola $y^{2}=8 x+5$ at $Q$ and $R$, then find the midpoint of chord, $Q R$. | 1 |
Will elephants go extinct in China if the CCP collapses? | 0 |
How do you feel for a special one when you listen to the soft song? | 0 |
7. A block of mass 4 kg placed on a horizontal surface is connected to another mass of 3 kg by a massless inextensible string going over a pulley as shown. A force of $F=50 \mathrm{~N}$ is applied horizontally on $A$ as shown. At the instant, $\theta$ is $60^{\circ}$. The tension in the string is (take $\mathrm{g}=10 \... | 1 |
How do I reduce belly fat in minimal time? | 0 |
Which south Indian coast was favored by Muslim traders? | 0 |
How long did the Scottish Panama colony survive? | 0 |
1. The conductivity of a semiconductor increases with increase in temperature because
(a) number density of free current carriers increases
(b) relaxation time increases
(c) both number density of carriers and relaxation time decreases but effect of decrease in relaxation time is much less than increase in number de... | 1 |
Why do some people use their smart phones just for playing stupid games? Did they spend that much money only to play games? | 0 |
Where was the central location of the Muayan Empire? | 0 |
Is Indian food the best in the world? | 0 |
6. A photon collides with a stationary hydrogen atom in ground state inelastically. Energy of the colliding photon is $10.2 \mathrm{eV}$. After a time interval of the order of micro second another photon collides with same hydrogen atom inelastically with an energy of $15 \mathrm{eV}$. What will be observed by the dete... | 1 |
What's the most intelligent thing you've seen a child do? | 0 |
What are some unexpected things first-time visitors to São Tomé and Príncipe notice? | 0 |
What is the current political environment in Uttar Pradesh? Who likely to be a winner? | 0 |
How do I use Chrome in Windows Server 2003? | 0 |
What type of SIM cards are used in iPhones? | 0 |
Which earphone is best under 1000? | 0 |
Resonance or FIITJEE: Which is better? Why? | 0 |
(ii) 1-Chloro-4-ethylcyclohexane | 1 |
Does rubbing 70% ethanol over my glasses and my smartphone's glass with a piece of cotton kill adenovirus? | 0 |
8. Let $(\tan \alpha) x+(\sin \alpha) y=\alpha$ and $(\alpha \operatorname{cosec} \alpha) x+\cos \alpha y=1$ be two variable straight lines, $\alpha$ being the parameter. Let $P$ be the point of intersection of the lines. If the coordinates of $P$ in the limiting position when $\alpha \rightarrow 0$ be $(h, k)$ then
(a... | 1 |
What are the best books for the course of automobile engineering? | 0 |
Along with rhetoric and logic, what constituted the trivium? | 0 |
What can impact accurately assesing sexual identity? | 0 |
41. For an ideal gas, consider only $P-V$ work in going from an initial state $X$ to the final state $Z$. The final state $Z$ can be reached by either of the two paths shown in the figure. Which of the following choice(s) is (are) correct?
[Take $\Delta S$ as change in entropy and $w$ as work done]. (a) $\Delta S_{X ... | 1 |
Illustration 3.37 Find the distance of the plane $2 x-y-2 z-9=0$ from the origin. | 1 |
Who was Nelson Mandela? | 0 |
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