Question stringlengths 2 3k | label int64 0 1 |
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Example 8 Discuss the continuity of the function $f$ given by $f(x)=x^{3}+x^{2}-1$. | 1 |
How can I upgrade my kitchenaid proline espresso machine's steam wand? | 0 |
- Example 18 Let $\mathrm{A}=\{1,2,3,4,5,6\}, \mathrm{B}=\{2,4,6,8\}$. Find $\mathrm{A}-\mathrm{B}$ and $\mathrm{B}-\mathrm{A}$. | 1 |
Ex. 17. If $1: 3$ (molar ratio) mixture of $\mathrm{N}_{2}$ and $\mathrm{H}_{2}$ yields $17 \cdot 8 \%$ (by volume) of $\mathrm{NH}_{3}$ at 30 atm , calculate $K_{p}$ for the equilibrium represented by $\mathrm{N}_{2}+3 \mathrm{H}_{2} \rightleftharpoons 2 \mathrm{NH}_{3}$. | 1 |
9. 
Correct order of enol content of given compound will be :
(A) III $>$ I $>$ IV $>$ II
(B) IV $>$ II $>$ I $>$ III
(C) II $>$ III $>$ I $>$ IV
(D) I $>$ III $>$ II $>$ IV | 1 |
63. Figure 18-49 shows (in cross section) a wall consisting of four layers, with thermal conductivities $k_{1}=0.060 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, k_{3}=$ $0.040 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, and $k_{4}=0.12 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$ ( $k_{2}$ is not known $)$. The layer thic... | 1 |
8. A $250-\mathrm{mL}$ sample of 0.20 M hydrochloric acid is to be made by diluting the approximate amount of the concentrated reagent 11.7 M . What volume of the latter should be used?
$(4.27 \mathrm{~mL}$ ) | 1 |
What online payment methods are most popular in Vietnam? | 0 |
Why do people ask questions on Quora that could simply be googled? | 0 |
Do cats feel love? | 0 |
14. An industrial method of preparation of methanol is
(a) catalytic reduction of carbon monoxide in presence of $\mathrm{ZnO}-\mathrm{Cr}_{2} \mathrm{O}_{3}$
(b) by reacting methane with steam at $900^{\circ} \mathrm{C}$ with a nickel catalyst
(c) by reducing formaldehyde with lithium aluminium hydride
(d) by re... | 1 |
8. Evaluate $\int_0^{e-1} \frac{e^{\frac{x^2+2 x-1}{2}}}{x+1} d x+\int_1^e x \log x e^{\frac{x^2-2}{2}} d x$. | 1 |
68. $1+\frac{1}{3} x+\frac{1 \times 4}{3 \times 6} x^{2}+\frac{1 \times 4 \times7}{3 \times 6 \times 9} x^{3}+\cdots$ is equal to
a. $x$
b. $(1+x)^{1 / 3}$
c. $(1-x)^{1 / 3}$
d. $(1-x)^{-1 / 3}$ | 1 |
What is the climate like in Southeast Asia? | 0 |
Where can I hire safety professionals for any fire protection service in Sydney? | 0 |
24. In the figure shown, the angle made by the light ray with the normal in the medium of refractive index $\sqrt{2}$ is
(a) $30^{\circ}$
(b) $60^{\circ}$
(c) $90^{\circ}$
(d) None of these | 1 |
13. Evaluate $\lim _{x \rightarrow 0} \frac{x-\sin x}{x^{3}}$ (do not use either L'Hopital's rule or series expansion for $\sin x$ ), hence evaluate
$$
\lim _{x \rightarrow 0} \frac{\sin x-x-x \cos x+x^{2} \cot x}{x^{5}}
$$ | 1 |
Example 1 Round off 0.07284 to four, three and two significant digits. | 1 |
What parts of reptiles respond to sensory cues? | 0 |
How many types of adjectives are there? | 0 |
What was associated with culture during this German practice? | 0 |
48. Choose the reaction(s) from the following options, for which the standard enthalpy of reaction is equal to the standard enthalpy of formation
(a) $\frac{1}{8} \mathrm{~S}_{8}(\mathrm{~s})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{SO}_{2}(\mathrm{~g})$
(b) $2 \mathrm{H}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mat... | 1 |
What is important for a student in education? | 0 |
What were the military dominated governments known as? | 0 |
17. The equation;
$4{ }_{1}^{1} \mathrm{H} \rightarrow{ }_{2}^{4} \mathrm{He}^{2+}+2 e^{-}+26 \mathrm{MeV}$ represents
(a) $\beta$-decay
(b) $\gamma$-decay
(c) fusion
(d) fission | 1 |
2. The velocity of block when the rod loses contact with the block is
(a) $\frac{\sqrt{3 g l}}{4}$
(b) $\frac{\sqrt{5 g l}}{4}$
(c) $\frac{\sqrt{6 g l}}{4}$
(d) $\frac{\sqrt{7 g l}}{4}$ | 1 |
If one has a disorder of depression or anxiety, if that person commits suicide, will he/she be participating in the nature's process of natural selection and increasing the survivability future generations to not have this trait? | 0 |
11. Let $\triangle P Q R$ be a triangle. Let $\mathbf{a}=\mathbf{Q R}, \mathbf{b}=\mathbf{R P}$ and $\mathbf{c}=\mathbf{P Q}$. If $|\mathbf{a}|=12,|\mathbf{b}|=4 \sqrt{3}$ and $\mathbf{b} \cdot \mathbf{c}=24$, then which of the following is/are true?
(a) $\frac{|\mathbf{c}|^{2}}{2}-|\mathbf{a}|=12$
(b) $\frac{|\mathbf... | 1 |
How does an IQ test work and what is determined from an IQ test? | 0 |
Do men and women's patterns of arousal differ? | 0 |
19. $f(x)$ is not invertible for
a. $x \in\left[-\frac{\pi}{2}-\tan ^{-1} 2, \frac{\pi}{2}-\tan ^{-1} 2\right]$
b. $x \in\left[\tan ^{-1} \frac{1}{2}, \pi+\tan ^{-1} \frac{1}{2}\right]$
c. $x \in\left[\pi+\cot ^{-1} 2,2 \pi+\cot ^{-1} 2\right]$
d. None of these | 1 |
The clash between Henry IV and the pope was part of what greater conflict? | 0 |
1. The IUPAC name of the following compound is:
(a) 2-nitro-4-hydroxymethyl-5-amino benzaldehyde
(b) 3-amino-4-hydroxymethyl-5-nitrobenzaldehyde
(c) 5-amino-4-hydroxymethyl-2-nitrobenz... | 1 |
12. Moderate electrical conductivity is shown by
(a) silica
(b) graphite
(c) diamond
(d) carborundum | 1 |
-25 A sound wave of frequency 300 Hz has an intensity of $1.00 \mu \mathrm{W} / \mathrm{m}^{2}$. What is the amplitude of the air oscillations caused by this wave? | 1 |
Who is the best bulk SMS service provider for Europe? | 0 |
33. Compound 'A' (molecular formula $\mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}$ ) is treated with acidified potassium dichromate to form a product 'B' (molecular formula $\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}$ ). ' $\mathrm{B}$ ' forms a shining silver mirror on warming with ammonical silver nitrate. 'B' when treated... | 1 |
(ii) bromobenzene is treated with Mg in the presence of dry ether, | 1 |
- Example 34.13 A nucleus with mass number 220 initially at rest emits an $\alpha$-particle. If the $Q$-value of the reaction is $5.5 \mathrm{MeV}$, calculate the kinetic energy of the $\alpha$-particle.
(JEE 2003)
(a) $4.4 \mathrm{MeV}$
(b) $5.4 \mathrm{MeV}$
(c) $5.6 \mathrm{MeV}$
(d) $6.5 \mathrm{MeV}$ | 1 |
Has Ancient Egypt been scientifically tested? | 0 |
Rational emotive behavior therapy is an approach used by what psychotherapy schools? | 0 |
29. One mole of a monatomic gas is taken through a cycle $A B C D A$ as shown in the $\mathrm{P}-\mathrm{V}$ diagram. Column-II give the characteristics involved in the cycle. Match them with each of the processes given in Column-I.
$ lies inside the triangles formed by the lines $2 x+3 y-1=0$,
$$
x+2 y-3=0,5 x-6 y-1=0
$$ | 1 |
When will the Huawei Honor 4X get the Lollipop update? | 0 |
2. A rod of length $l$ rotates with a uniform angular velocity $\omega$ about its perpendicular bisector. A uniform magnetic field $B$ exists parallel to the axis of rotation. The potential difference between the two ends of the rod is
(a) zero
(b) $\frac{1}{2} B l \omega^{2}$
(c) $B l \omega^{2}$
(d) $2 B l \omega^{2}... | 1 |
Who's responsibility is case law? | 0 |
13. Which of the following graphs correctly represent the variation of $\beta=-\frac{d V / d p}{V}$ with $p$ for an ideal gas at constant temperature?
(a)
(c)
 $1: 2$
(b) $1: 1$
(c) $1: 16$
(d) $15: 16$ | 1 |
Which country first entered World War 2 after France's defeat? | 0 |
Is there any simple reminder app? | 0 |
Should people over 91 not be allowed to vote? | 0 |
Gajapati Kingdom was powerful in the east for how many centuries? | 0 |
101. The number of solutions of $\tan x-m x=0, m>1$ in $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ is
a. 1
b. 2
c. 3
d. $m$ | 1 |
30. The scalars $l$ and $m$ such that $l \vec{a}+m \vec{b}=\vec{c}$, where $\vec{a}, \vec{b}$ and $\vec{c}$ are given vectors, are equal to
a. $l=\frac{(\vec{c} \times \vec{b}) \cdot(\vec{a} \times \vec{b})}{(\vec{a} \times \vec{b})^{2}}$
b. $l=\frac{(\vec{c} \times \vec{a}) \cdot(\vec{b} \times \vec{a})}{(\vec{b} \tim... | 1 |
44. The number of $\alpha$-particles emitted per second by 1 g of radium is $3.608 \times 10^{10}$. Calculate decay constant and $t \frac{1}{2}$.
$$
\left\{\begin{array}{l}
1.35 \times 10^{-11} \mathrm{~s}^{-1} \\
5.13 \times 10^{10} \mathrm{~s}
\end{array}\right\}
$$ | 1 |
What are some unique places to visit in Chennai? | 0 |
What do you upvote? | 0 |
What are the must-see places in Singapore? | 0 |
48. If the rate law of a reaction $n A \rightarrow B$ is expressed as
$$
\underset{(\mathrm{mol} / \mathrm{L} / \mathrm{s})}{\operatorname{Rate}}=-\frac{1}{n} \frac{d[A]}{d t}=+\frac{d[B]}{d t}=k[A]^{x}
$$
The unit of the rate constant will be
(a) $\mathrm{mol}^{\mathrm{x}} / \mathrm{L}^{\mathrm{x}} / \mathrm{s}$
(b)... | 1 |
Why does Hillary Clinton cough sometimes? Is she sick or is it from speaking so much? | 0 |
4. If $\hat{i}-3 \hat{j}+5 \hat{k}$ bisects the angle between $\hat{a}$ and $-\hat{i}+2 \hat{j}+2 \hat{k}$, where $\hat{a}$ is a unit vectors, then
(a) $\hat{a}=\frac{1}{105}(41 \hat{i}+88 \hat{j}-40 \hat{k})$
(b) $\hat{a}=\frac{1}{105}(41 \hat{i}+88 \hat{j}+40 \hat{k})$
(c) $\hat{a}=\frac{1}{105}(-41 \hat{i}+88 \hat{j... | 1 |
11. If $p, q$ are positive integers, $f$ is a function defined for positive numbers and attains only positive values, such that $f(x f(y))=x^{p} y^{q}$, then prove that $p^{2}=q$. | 1 |
What does "equilibrium" mean? | 0 |
What are some good liquors that would you mix with tequila to make it less stingy? | 0 |
102. If the chord of contact of tangents from a point $P$ to a given circle passes through $Q$, then the circle on $P Q$ as diameter
a. cuts the given circle orthogonally
b. touches the given circle externally
c. touches the given circle internally
d. None of these | 1 |
27. Which of the following compounds is not colored yellow?
$[$ Main 2015]
(a) $\left(\mathrm{NH}_{4}\right)_{3}\left[\mathrm{As}\left(\mathrm{Mo}_{3} \mathrm{O}_{10}\right)_{4}\right]$
(b) $\mathrm{BaCrO}_{4}$
(c) $\mathrm{Zn}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
(d) $\mathrm{K}_{3}\left[\mathrm{Co}\left... | 1 |
20. If $(x, y)$ be a variable point on the line $y=2 x$ lying between the lines $2(x+1)+y=0$ and $x+3(y-1)=0$, then
a. $x \in(-1 / 2,6 / 7)$
b. $x \in(-1 / 2,3 / 7)$
c. $y \in(-1,3 / 7)$
d. $y \in(-1,6 / 7)$ | 1 |
2.22 Which of the following are isoelectronic species i.e., those having the same number of electrons?
$$
\mathrm{Na}^{+}, \mathrm{K}^{+}, \mathrm{Mg}^{2+}, \mathrm{Ca}^{2+}, \mathrm{S}^{2-}, \mathrm{Ar}
$$ | 1 |
Is there proof of Karma? | 0 |
Do diets work without exercise? How? | 0 |
11. A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f$ as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image
=x\left(x^{2}-4\right)^{-1 / 3}$. | 1 |
16. The magnetic field due to a current carrying circular loop of radius $3 \mathrm{~m}$ at a point on the axis at a distance of $4 \mathrm{~m}$ from the centre is $54 \mu \mathrm{T}$. What will be its value at the centre of the loop?
(a) $250 \mu \mathrm{T}$
(b) $150 \mu \mathrm{T}$
(c) $125 \mu \mathrm{T}$
(d) $75 \m... | 1 |
What is the first Indian text to mention iron? | 0 |
25. 100 moles of an ideal monatomic gas undergoes the thermodynamic process as shown in the figure
$A \rightarrow B$ : isothermal expansion
$B \rightarrow C$ : adiabatic expansion
$C \ri... | 1 |
24. Distance of $\frac{2 \pi}{3}$ chord of $x^{2}+y^{2}+2 x+4 y+1=0$ from the centre is
a. 1
b. 2
c. $\sqrt{2}$
d. $\frac{1}{\sqrt{2}}$ | 1 |
1. If the function $f: \mathbf{R}-\{1,-1\} \rightarrow A$ defined by $f(x)=\frac{x^{2}}{1-x^{2}}$, is surjective, then $A$ is equal to
(a) $\mathbf{R}-\{-1\}$
(b) $[0, \infty)$
(c) $\mathbf{R}-[-1,0)$
(d) $\mathbf{R}-(-1,0)$ | 1 |
Which car services are available in Virginia Beach? How good are they compared to taxis and relative to each other? | 0 |
Why isn't Pip Bernadotte from Hellsing on any favorite anime characters list? | 0 |
28. A particle is thrown upwards from ground. It experiences a constant resistance force which can produce a retardation of $2 \mathrm{~ms}^{-2}$. The ratio of time of ascent to time of descent is $\left(g=10 \mathrm{~ms}^{-2}\right)$
(a) $1: 1$
(b) $\sqrt{\frac{2}{3}}$
(c) $\frac{2}{3}$
(d) $\sqrt{\frac{3}{2}}$ | 1 |
3. Arrange the following compounds in increasing order of $\mathrm{C}-\mathrm{OH}$ bond length: methanol, phenol, $p$-ethoxyphenol
(a) methanol $<p$-ethoxyphenol $<$ phenol
(b) phenol $<$ methanol $<p$-ethoxyphenol
(c) phenol $<$-ethoxyphenol $<$ methanol
(d) methanol $<$ phenol $<p$-ethoxyphenol | 1 |
When is surge pricing on Uber generally in effect in Atlanta and how high does it go? | 0 |
What are your New Years resolutions for 2017? | 0 |
If there is a rank of top powerful military countries of the world, what will be the ranking table look like? | 0 |
How does the classifiacation scheme work on the Kinsey scale? | 0 |
How can I teach my 7 year old son to draw? | 0 |
What group was neutral about this issue as they felt the subject unimportant? | 0 |
(ii) $(\mathrm{A} \cap \mathrm{B})^{\prime}=\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}$ | 1 |
What older architectural movements do the newer movements not go along with? | 0 |
39. The probability that a teacher will give an unannounced test during any class meeting is $1 / 5$. If a student is absent twice, then the probability that the student will miss at least one test is
a. $4 / 5$
b. $2 / 5$
c. $7 / 25$
d. $9 / 25$ | 1 |
3. In a Young's double slit experiment, the ratio of the slit's width is $4: 1$. The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be
(a) $4: 1$
(b) $25: 9$
(c) $9: 1$
(d) $(\sqrt{3}+1)^{4}: 16$ | 1 |
Gratien Bonheur: How is it similar to a Ducon Lajoie? | 0 |
3. The total number of turns and cross-section area in a solenoid is fixed. However, its length $L$ is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to
(a) $1 / L$
(b) $L^{2}$
(c) $L$
(d) $1 / L^{2}$ | 1 |
Where is Milan Fashion Week held? | 0 |
What does a first-time bikini wax feel like? | 0 |
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