Question stringlengths 2 3k | label int64 0 1 |
|---|---|
29. A projectile's launch speed is five times its speed at maximum height. Find launch angle $\theta_0$. | 1 |
What individuals and events in history are a source of pride for Singapore? | 0 |
What is creative writing? and how to actually write creatively? | 0 |
Why are Americans so overprotective of their children, as well as paranoid? | 0 |
12.38 Which of the following carbocation is most stable ?
(a) $\left(\mathrm{CH}_{3}\right)_{3} \mathrm{C} . \stackrel{+}{\mathrm{C}}
\mathrm{H}_{2}$
(b) $\left(\mathrm{CH}_{3}\right)_{3} \stackrel{+}{\mathrm{C}}$
(c) $\mathrm{CH}_{3} \mathrm{CH}_{2} \stackrel{+}{\mathrm{C}} \mathrm{H}_{2}$
(d) $\mathrm{CH}_{3} \s... | 1 |
Which are the best Bollywood movies in 2016? | 0 |
13. If the function $f(x)=\frac{\tan (\tan x)-\sin (\sin x)}{\tan x-\sin x}(x \neq 0)$ is continuous at $x=0$, then the value of $f(0)$ is | 1 |
7. A harmonic oscillator vibrates with amplitude of $4 \mathrm{~cm}$ and performs 150 oscillations in one minute. If the initial phase is $45^{\circ}$ and it starts moving away from the origin, then the equation of motion is
(a) $0.04 \sin \left(5 \pi t+\frac{\pi}{4}\right)$
(b) $0.04 \sin \left(5 \pi t-\frac{\pi}{4}... | 1 |
$\cdot$ 62 A pitot tube (Fig. 14-48) is used to determine the airspeed of an airplane. It consists of an outer tube with a number of small holes $B$ (four are shown) that allow air into the tube; that tube is connected to one arm of a U-tube. The other arm of the U-tube is connected to hole $A$ at the front end of the ... | 1 |
31. Suppose $A, B, C$ are defined as $A=a^{2} b+a b^{2}-a^{2} c-a c^{2}$, $B=b^{2} c+b c^{2}-a^{2} b-a b^{2}$ and $C=a^{2} c+a c^{2}-b^{2} c-b c^{2}$, where $a>b>c>0$ and the equation $A x^{2}+B x+C=0$ has equal roots, then $a, b, c$ are in
a. A.P
b. G.P.
c. H.P.
d. A.G.P. | 1 |
What do you do to achieve peace of mind? | 0 |
11. Find $(a+b)^{4}-(a-b)^{4}$. Hence, evaluate $(\sqrt{3}+\sqrt{2})^{4}-(\sqrt{3}-\sqrt{2})^{4}$. | 1 |
Do narcissist ever change to a better person? | 0 |
Example 2.28 If $z$ is a complex number such that $z^{2}$ $=(\bar{z})^{2}$, then find the location of $z$ on the Argand plane. | 1 |
Can I use 2 Twitter developer accounts, one for the streaming API access and another for giving my users oauth access to sign up? | 0 |
Who do you think will win the 2016 Presidential Election? | 0 |
17. The conjugate base of hydrazoic acid is:
(a) $\mathrm{N}^{-3}$
(b) $\mathrm{N}_{3}^{-}$
(c) $\mathrm{N}_{2}^{-}$
(d) $\mathrm{HN}_{3}^{-}$ | 1 |
Why does China insist that it's Singapore who got USA into the South China Sea issue? | 0 |
13. If $\int \frac{\sin x}{\sin \left(x-\frac{\pi}{4}\right)} d x=A$
$(f(x)+\log |\sin x-\cos x|)+c$, then
(a) $A=\sqrt{2}$
(b) $A=1 / \sqrt{2}$
(c) $f(x)=\sin x$
(d) $f(x) x$ | 1 |
Example 7.1 Though nitrogen exhibits +5 oxidation state, it does not form pentahalide. Give reason | 1 |
What is the best way to prepare for NATA exam? | 0 |
Local business directory list Australia? | 0 |
Is a two-week trip too long for going to Cuba? | 0 |
Is there any way of unlocking a SIM lock iPhone? | 0 |
What is the meaning of the following sentences from Moby Dick? (see details) | 0 |
Who is the most overrated footballer? | 0 |
87. $\mathrm{H}_{3} \mathrm{PO}_{3}=\mathrm{H}_{3} \mathrm{PO}_{4}+\mathrm{PH}_{3}$ | 1 |
Example 3 Find the area of the region bounded by the line $y=3 x+2$, the $x$-axis and the ordinates $x=-1$ and $x=1$. | 1 |
4. Which of the following compounds will show highest dipole moment ? [Main Online April 9, 2017]
(I)
^{m}$ is 46 , then find the coefficient of the term that does not contain $x$ | 1 |
50. 1 mole of a gas is changed from its initial state (15 lit ; 2 atm ) to final state (4 lit, 10 atm ) reversibly. If this change can be represented by a straight line in $p-V$ curve, calculate maximum temperature, the gas attained.
(698 K)
[Hint: Eqn. for the line is $\frac{p-2}{10-2}=\frac{V-15}{4-15} ; 11 p+8 V=142... | 1 |
What's the difference between an astronaut and a cosmonaut? | 0 |
Ex. 53. A decimolar solution of potassium ferrocyanide is $50 \%$ dissociated at 300 K . Calculate the osmotic pressure of the solution.
$$
\left(R=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)
$$ | 1 |
Is there anyway to pursue career in ethical hacking without graduation or any degree? | 0 |
9. The incorrect geometry is represented by..........
(a) $\mathrm{NF}_{3}$ - trigonal planar
(b) $\mathrm{BF}_{3}$ - trigonal planar
(c) $\mathrm{AsF}_{5}$ - trigonal bipyramidal
(d) $\mathrm{H}_{2} \mathrm{O}$ - bent | 1 |
How many people died in the rioting over divisions of Bengal and Punjab? | 0 |
2 Water from a tap emerges vertically downwards with an initial speed of $1.0 \mathrm{~ms}^{-1}$. The cross-sectional area of the tap is $10^{-4} \mathrm{~m}^{2}$. Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross-sectional area of the stream, $0.15 \mathrm{... | 1 |
3. White light is incident normally on a glass plate (in air) of thickness $500 \mathrm{~nm}$ and refractive index of 1.5. The wavelength (in $\mathrm{nm}$ ) in the visible region ( $400 \mathrm{~nm}-700 \mathrm{~nm}$ ) that is strongly reflected by the plate is
(a) 450
(b) 600
(c) 400
(d) 500 | 1 |
What are good ways to become a mermaid? | 0 |
3. The coefficient of $x^{5}$ in the expansion of $(1+x)^{21}+(1+x)^{22}+\cdots$ $+(1+x)^{30}$ is
a. ${ }^{51} C_{5}$
b. ${ }^{9} C_{5}$
c. ${ }^{31} C_{6}-{ }^{21} C_{6}$
d. ${ }^{30} C_{5}+{ }^{20} C_{5}$ | 1 |
Why are there so many ways to stretch a vector but only so few to compress it? | 0 |
Does Narendra Modi support Israel? | 0 |
5. A striker is shot from a square carom board from a point $A$ exactly at midpoint of one of the walls with a speed of $2 \mathrm{~ms}^{-1}$ at an angle of $45^{\circ}$ with the $x$-axis as shown in the figure. The collisions of the striker with the walls of the fixed carom are perfectly elastic. The coefficient of ki... | 1 |
.23. Consider the system of equations $x-2 y+3 z=-1$, $x-3 y+4 z=1$ and $-x+y-2 z=k$
Statement I The system of equations has no solution for $k \neq 3$ and
Statement II The determinant $\left|\begin{array}{rrr}1 & 3 & -1 \\ -1 & -2 & k \\ 1 & 4 & 1\end{array}\right| \neq 0$, for
$k \neq 0$.
(2008, 3M) | 1 |
(c) Which digits are absolutely correct and which is/are doubtful ? | 1 |
3. The increasing order of basicity for the following intermediates is (from weak to strong)
$$
\begin{aligned}
& \text { } \\
& \mathrm{H}_{3} \mathrm{C}=\mathrm{CH}-\stackrel{\ominus}{\mathrm{C}} \mathrm{H} \\
& \text { (ii) }
\end{aligned}
$$
 toluene
(b) benzene
(c) benzoic acid
(d) nitrobenzene | 1 |
13.18 A 1000 MW fission reactor consumes half of its fuel in 5.00 y . How much ${ }_{92}^{235} \mathrm{U}$ did it contain initially? Assume that the reactor operates $80 \%$ of the time, that all the energy generated arises from the fission of ${ }_{92}^{235} \mathrm{U}$ and that this nuclide is consumed only by the fi... | 1 |
I am a late comer to programming, how much time do I need to spend in order to get a junior web developer job? | 0 |
Why do Americans think donald trump can fix their problems? | 0 |
1. In the given circuit, the charge on $4 \mu \mathrm{F}$ capacitor will be
(a) $5.4 \mu \mathrm{C}$
(b) $9.6 \mu \mathrm{C}$
(c) $13.4 \mu \mathrm{C}$
(d) $24 \mu \mathrm{C}$ | 1 |
Why do some people dislike sunsets? | 0 |
What will cause the amount of homosexuality to vary? | 0 |
26. $5.00 \mathrm{~mL}$ of $0.10 \mathrm{M}$ oxalic acid solution taken in a conical flask is titrated against $\mathrm{NaOH}$ from a burette using phenolphthalein indicator. The volume of $\mathrm{NaOH}$ required for the appearance of permanent faint pink color is tabulated below for five experiments. What is the conc... | 1 |
3. Four particles, each of mass $M$, move along a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle is
(a) $\frac{G M}{R}$
(b) $\sqrt{2 \sqrt{2} \frac{G M}{R}}$
(c) $\sqrt{\frac{G M}{R}(2 \sqrt{2}+1)}$
(d) $\sqrt{\frac{G M}{R} \frac{2 \sqrt{2}+1}{4}}$ | 1 |
7. Let $A=\left[\begin{array}{c}3 x^{2} \\ 1 \\ 6 x\end{array}\right], B=[a b c]$ and $C=\left[\begin{array}{ccc}(x+2)^{2} & 5 x^{2} & 2 x \\ 5 x^{2} & 2 x & (x+2)^{2} \\ 2 x & (x+2)^{2} & 5 x^{2}\end{array}\right]$ be three given matrices, where $a, b, c$ and $x \in R$, Given that $\operatorname{tr} \cdot(A B)=\operat... | 1 |
Is carbon dioxide oxidizing or reducing? | 0 |
How do you learn to love yourself? | 0 |
When is the best time to eat breakfast? | 0 |
9. $f(x)=\begin{array}{cc}x, & \text { if } x \text { is rational } \\ 0, & \text { if } x \text { is irrational }\end{array}, g(x)=\begin{array}{cc}0, & \text { if } x \text { is rational } \\ x, & \text { if } x \text { is irrational }\end{array}$ Then, $f-g$ is
(2005, 1M)
(a) one-one and into
(b) neither one-one no... | 1 |
What skill or activity are you in the top 1% in the world? | 0 |
11. Parallel rays of light of intensity $I=912 \mathrm{Wm}^{-2}$ are incident on a spherical black body kept in surroundings of temperature 300 K . Take Stefan-Boltzmann constant $\sigma=5.7 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^{-4}$ and assume that the energy exchange with the surroundings is only through radia... | 1 |
16. In the Young's double slit experiment using a monochromatic light of wavelength $\lambda$ the path difference (in terms of an integer $n$ ) corresponding to any point having half the peak intensity is
(a) $(2 n+1) \frac{\lambda}{2}$
(b) $(2 n+1) \frac{\lambda}{4}$
(c) $(2 n+1) \frac{\lambda}{8}$
(d) $(2 n+1) \frac{... | 1 |
42. Both $\left[\mathrm{Ni}(\mathrm{CO})_{4}\right]$ and $\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]^{2-}$ are diamagnetic. The hybridisations of nickel in these complexes, respectively, are
$[2008]$
(a) $s p^{3}, s p^{3}$
(b) $s p^{3}, d s p^{2}$
(c) $d s p^{2}, s p^{3}$
(d) $d s p^{2}, s p^{2}$ | 1 |
What Greek city was rated the world's fifth best ultimate party town by 2009's Lonely Planet? | 0 |
3. Points I, II and III in the following plot respectively correspond to $\left(\mathrm{V}_{\mathrm{mp}}:\right.$ most probable velocity $)$
(a) $\mathrm{V}_{\mathrm{mp}}$ of $\mathrm{N}_... | 1 |
18. Which of the following functions is differentiable at $x=0$ ?
$(2001,2 \mathrm{M})$
(a) $\cos (|x|)+|x|$
(b) $\cos (|x|)-|x|$
(c) $\sin (|x|)+|x|$
(d) $\sin (|x|)-|x|$ | 1 |
12. The adjacent graph shows the extension $(\Delta l)$ of a wire of length $1 \mathrm{~m}$ suspended from the top of a roof at one end and with a load $w$ connected to the other end. If the cross-sectional area of the wire is $10^{-6} \mathrm{~m}^{2}$, calculate from the graph the Young's modulus of the material of th... | 1 |
Example 6.40 Find the remainder when $6^{n}-5 n$ is divided by 25 | 1 |
How and to whom can I sell my app company with 4 well known apps created by me? | 0 |
35. The equation of the lines on which the perpendiculars from the origin make $30^{\circ}$ angle with $x$-axis and which form a triangle of area $50 / \sqrt{3}$ with axes are
a. $\sqrt{3} x+y-10=0$
b. $\sqrt{3} x+y+10=0$
c. $x+\sqrt{3} y-10=0$
d. $x-\sqrt{3} y-10=0$ | 1 |
14.
$$
\text { For the matrix } \mathrm{A}=\left[\begin{array}{ll}
3 & 2 \\
1 & 1
\end{array}\right] \text {, find the numbers } a \text { and } b \text { such that } \mathrm{A}^2+a \mathrm{~A}+b \mathrm{I}=\mathrm{O} \text {. }
$$ | 1 |
industrialization is a subdivision of what general process? | 0 |
100. A bag has 10 balls. Six balls are drawn in an attempt and replaced. Then another draw of 5 balls is made from the bag. The probability that exactly two balls are common to both the draw is
a. $5 / 21$
b. $2 / 21$
c. $7 / 21$
d. $3 / 21$ | 1 |
What is the characteristic that most separates humans from animals? | 0 |
18. Position isomers of 1-bromo-1-chloro cyclohexane are :
(A) 6
(B) 5
(C) 4
(D) 3 | 1 |
5. A complex current wave is given by $i=(5+5 \sin 100 \omega t) \mathrm{A}$. Its average value over one time period is given as
(a) $10 \mathrm{~A}$
(b) $5 \mathrm{~A}$
(c) $\sqrt{50} \mathrm{~A}$
(d) 0 | 1 |
8. In $L-C-R$ series AC circuit,
(a) If $R$ is increased, then current will decrease
(b) If $L$ is increased, then current will decrease
(c) If $C$ is increased, then current will increase
(d) If $C$ is increased, then current will decrease | 1 |
5. The green colour produced in the borax bead test of a chromium (III) salt is due to
(a) $\mathrm{Cr}_{2}\left(\mathrm{~B}_{4} \mathrm{O}_{7}\right)_{3}$
(b) $\mathrm{Cr}_{2} \mathrm{O}_{3}$
(c) $\mathrm{Cr}\left(\mathrm{BO}_{2}\right)_{3}$
(d) $\mathrm{CrB}$ | 1 |
When were the Constantinian basilicas built? | 0 |
14. Two concave lenses $L_{1}$ and $L_{2}$ are kept in contact with each other. If the space between the two lenses is filled with a material of smaller refractive index, the magnitude of the focal length of the combination
(a) becomes undefined
(b) remains unchanged
(c) increases
(d) decreases. | 1 |
4. For the reaction
$$
\mathrm{I}^{-}+\mathrm{ClO}_{3}^{-}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{Cl}^{-}+\mathrm{HSO}_{4}^{-}+\mathrm{I}_{2}
$$
The correct statement(s) in the balanced equation is(are)
(a) Stoichiometric coefficient of $\mathrm{HSO}_{4}^{-}$ is 6.
(b) Iodide is oxidised.
(c) Sulphur is r... | 1 |
All my questions on Quora need improvement. What is the best way to ask a question on Quora? | 0 |
4.
| Column I | Column II |
| :---: | :---: |
| a. The distance between the line $\vec{r}=(2 \hat{i}-2 \hat{j}+3 \hat{k})+\lambda(\hat{i}-\hat{j}+4 \hat{k})$ and planc <br> $\vec{r} \cdot(\hat{i}+5 \hat{j}+\hat{k})=5$ | p. $\frac{25}{3 \sqrt{14}}$ |
| b. The distance between parallel planes $\vec{r} \cdot(2 \hat{i}-\... | 1 |
What caused technological and economical progress? | 0 |
What two structures does a neuron extend when it is in place during development? | 0 |
3.36 The size of isoelectronic species $-\mathrm{F}^{-}, \mathrm{Ne}$ and $\mathrm{Na}^{+}$is affected by
(a) nuclear charge $(Z)$
(b) valence principal quantum number ( $n$ )
(c) electron-electron interaction in the outer orbitals
(d) none of the factors because their size is the same. | 1 |
24. The correct set of quantum numbers for the unpaired electron of chlorine atom is
| | $n$ | $l$ | $m$ |
| :--- | :--- | :--- | :--- |
| (a) | 2 | 1 | 0 |
| (b) | 2 | 1 | 1 |
| (c) | 3 | 1 | 1 |
| (d) | 3 | 0 | 0 | | 1 |
How do I treat depression with diet? | 0 |
22. Two circular coils $A$ and $B$ of radius $\frac{5}{\sqrt{2}} \mathrm{~cm}$ and $5 \mathrm{~cm}$ carry currents $5 \mathrm{~A}$ and $5 \sqrt{2} \mathrm{~A}$, respectively. The plane of $B$ is perpendicular to plane of $A$ and their centres coincide. Magnetic field at the centre is
(a) 0
(b) $4 \pi \sqrt{2} \times 10... | 1 |
How do I simplify my messed up life? | 0 |
Ex. 15. After electrolysis of a sodium chloride $(\mathrm{NaCl})$ solution with inert electrodes for a certain period of time, 600 mL of the solution was left which was found to be 1 N in sodium hydroxide. During the same time 31.8 g of Cu was deposited in a Cu voltameter in series with the electrolytic cell. Calculate... | 1 |
35. If $f(x)=\lim _{n \rightarrow \infty} n\left(x^{1 / n}-1\right)$, then for $x>0, y>0, f(x y)$ is equal to
a. $f(x) f(y)$
b. $f(x)+f(y)$
c. $f(x)-f(y)$
d. None of these | 1 |
What is Islam? | 0 |
Example 17 Insert three numbers between 1 and 256 so that the resulting sequence is a G.P. | 1 |
What is lotion? | 0 |
Bihar government banned liquor in Bihar. Isn't it violation of fundamental right of a citizen? | 0 |
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