Question stringlengths 2 3k | label int64 0 1 |
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23. Which of the following structures would be aromatic?
(A) I
(B) II
(C) III
(D) IV
(E) $\mathrm{V}$ | 1 |
Why do I need to vote for Donald Trump? | 0 |
I'm a fresher for using Dev C++. How can I access the MS Access file to the Dev C++? | 0 |
What are the people who live in Hyderabad called? | 0 |
What should you do if you change your name after booking an airline ticket? | 0 |
Can I make money online? | 0 |
3. When a hot liquid is mixed with a cold liquid, the
temperature of the mixture
(a) first decreases then becomes constant
(b) first increases then becomes constant
(c) continuously increases
(d) is undefined for some time and then becomes nearly
constant. | 1 |
How do I know if a woman likes a guy? | 0 |
On what date did Charlemagne assume the imperial title? | 0 |
16. If 1 litre of a gas $A$ at 600 mm and 0.5 litre of gas $B$ at 800 mm are taken in a 2-litre bulb, the resulting pressure is
(a) 1500 mm
(b) 1000 mm
(c) 2000 mm
(d) 500 mm | 1 |
How did Tamil become famous? | 0 |
Which river flooded in 1908, preceding the expansion of Hyderabad? | 0 |
- Example 5.9
In a triangle $A B C, \angle A=60^{\circ}$ and $b: c=\sqrt{3}+1: 2$, then find the value of $(\angle B-\angle C)$. | 1 |
39. During the nuclear explosion, one of the products is ${ }^{90} \mathrm{Sr}$ with half life of 6.93 years. If $1 \square \mathrm{g}$ of ${ }^{90} \mathrm{Sr}$ was absorbed in the bones of a newly born baby in place of $\mathrm{Ca}$, how much time, in years, is required to reduce it by $90 \%$ if it is not lost metab... | 1 |
5. The area enclosed by the curves $x=a \sin ^{3} t$ and $y=a \cos ^{3} t$ is equal to
a. $12 a^{2} \int_{0}^{\pi / 2} \cos ^{4} t \sin ^{2} t d t$
b. $12 a \int_{0}^{\pi / 2} \cos ^{2} t \sin ^{4} t d t$
c. $2 \int_{-a}^{a}\left(a^{2 / 3}-x^{2 / 3}\right)^{3 / 2} d x$
d $4 \int_{0}^{a}\left(a^{2 / 3}-x^{2 / 3}\right)^... | 1 |
When was the British East India Company chartered? | 0 |
Is one likely to catch another cold/flu if one is already sick with the cold/flu? | 0 |
7. Which of the following curves may represent the speed of the electron in a hydrogen atom as a function of the principal quantum number $n$ ?
Figure 43-Q1 | 1 |
4. Complete set of $\alpha^{2}$ is
a. $\left(\frac{1}{3}, 3\right)$
b. $\left[\frac{1}{3}, 3\right]$
c. $\left(\frac{1}{3}, 3\right)-$
d. $\left(-\infty, \frac{1}{3}\right) \dot{\cup}(3, \infty)$ | 1 |
What do the the best students do? | 0 |
How do you know if you have fallen in love with someone and not just like them? | 0 |
What does Article Three give federal agencies? | 0 |
- Example 11 A trolley of initial mass $m_{0}$ is kept over a smooth surface as shown in figure. A constant force $F$ is applied on it. Sand kept inside the trolley drains out from its floor at a constant rate of $(\mu) \mathrm{kg} / \mathrm{s}$. After time $t$ find:
 trigonal bipyramidal
(b) square planar
(c) tetrahedral
(d) see-saw | 1 |
What was the Spanish term for permission to sell slaves in Spanish America? | 0 |
9. A pendulum made of a uniform wire of cross-sectional area $A$ has time period $T$. When an additional mass $M$ is added to its bob, the time period changes to $T_{M}$. If the Young's modulus of the material of the wire is $Y$, then $\frac{1}{Y}$ is equal to ( $g$ = gravitational acceleration)
(2015 Main)
(a) $\left... | 1 |
How do I focus on studies and be active? | 0 |
C++ is great language or not? | 0 |
I want to know about the english language institute "Adult Faculties Council, Ernakulam" kerala. is it good or not? | 0 |
22. Ethanol vapour is passed over heated copper and the product is treated with aqueous $\mathrm{NaOH}$. The final product is........... | 1 |
What evidence is there to support the existence of alien life? | 0 |
4. Two very long, straight and insulated wires are kept at $90^{\circ}$ angle from each other in $x y$-plane as shown in the figure
These wires carry currents of equal magnitude $I$, whos... | 1 |
When was the British East Company given the right to collect revenue? | 0 |
Example 4 Gravitational potential energy between two points masses is
$$
U=-\frac{K m_{1} m_{2}}{r^{n}}
$$
where, $K$ is a positive constant. With what power of ' $r$ ' time period of a satellite of mass ' $m$ ' varies in circular orbit if mass of planet is $M$ ? | 1 |
18. Gold numbers of some colloids are : Gelatin : $0.005-0.01$, Gum arabic : $0.15-0.25$; Oleate : $0.04-1.0$; Starch : $15-25$. Which among these is a better protective colloid ?
(a) Gelatin
(b) Starch
(c) Oleate
(d) Gum arabic | 1 |
How can I increase girth of my penis? | 0 |
What are the best softwares for drilling in oil and gas? | 0 |
11. The sum of all the solution of $\cot \theta=\sin 2 \theta,(\theta \neq n \pi, n$ integer $), 0 \leq \theta \leq \pi$ is
a $3 \pi / 2$
b. $\pi$
c. $3 \pi / 4$
d. $2 \pi$ | 1 |
What financial tips would you give to an 18 year old about to go to college? | 0 |
Example 22.8 In which of the following process, convection does not take place primarily?
(JEE 2005)
(a) Sea and land breeze
(b) Boiling of water
(c) Warming of glass of bulb due to filament
(d) Heating air around a furnace | 1 |
How do we start preparing of upsc? | 0 |
6. Figure (36-W2a) shows two identical magnetic dipoles a and $b$ of magnetic moments $M$ each, placed at a separation $d$, with their axes perpendicular to each other. Find the magnetic field at the point $P$ midway between the dipoles.
. At the same instant, a shell is fired to hit the aeroplane with muzzle speed $u$ :
(a) Angle of projection must be equal to $\cos ^{-1}\left(\frac{v_{0}... | 1 |
Where was Cabot trying to find a route to via the North Atlantic? | 0 |
Why can't Dumbledore just scoop and throw away the Emerald potion to get Voldemort's horcrux? | 0 |
Who is the biggest gossip in Silicon Valley? | 0 |
(ii) $\int \operatorname{cosec} x(\operatorname{cosec} x+\cot x) d x$ | 1 |
Can the police arrest based on a false complaint of my father. My father had a bad eye on my wife but instead he has placed a false complaint? | 0 |
2. If $A=\left[\begin{array}{ll}\alpha & 2 \\ 2 & \alpha\end{array}\right]$ and $\left|A^{3}\right|=125$, then the value of $\alpha$ is
$\begin{array}{llll}\text { a. } \pm 1 & \text { b. } \pm 2 & \text { c. } \pm 3 & \text { d. } \pm 5\end{array}$ | 1 |
Can an electric motor run a generator to power its self using semi-perpetual, kinetic motion? | 0 |
Example 3 The centripetal force $F$ acting on a particle moving uniformly in a circle may depend upon mass (m), velocity (v) and radius ( $r$ ) of the circle. Derive the formula for $F$ using the method of dimensions. | 1 |
How does jpg compression technically work? | 0 |
Problem 6.10
Predict in which of the following, entropy increases/decreases :
(i) A liquid crystallizes into a solid.
(ii) Temperature of a crystalline solid is raised from 0 K to 115 K .
(iii) $2 \mathrm{NaHCO}_{3}(\mathrm{~s}) \rightarrow \mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{~s})+$
$$
\mathrm{CO}_{2}(\mathrm{... | 1 |
106. $\tan ^{6} \frac{\pi}{9}-33 \tan ^{4} \frac{\pi}{9}+27 \tan ^{2} \frac{\pi}{9}$ is equal to
a. 0
b. $\sqrt{3}$
c. 3
d. 9 | 1 |
18. A battery of internal resistance $4 \Omega$ is connected to the network of resistances as shown in figure. In order that the maximum power can be delivered to the network, the value of $R$ in $\Omega$ should be
$(1995,2 \mathrm{M})$
=\{x\}$ for the existence of a local maximum and minimum at $x=1$, where $\{\cdot\}$ represents fractional part function. | 1 |
Why did eBay fail in China? | 0 |
What non-church architectural structure developed in the 10th century? | 0 |
Why did Microsoft change the default font to Calibri? | 0 |
3. A cell of internal resistance $r$ drives current through an external resistance $R$. The power delivered by the cell to the external resistance will be maximum when
(8 April 2019, II)
(a) $R=2 r$
(b) $R=r$
(c) $R=0.001 r$
(d) $R=1000 r$ | 1 |
Why does the Greek language sound so much like Spanish? | 0 |
16. A convex mirror of radius of curvature $20 \mathrm{~cm}$ is shown in figure. An object $O$ is placed in front of this mirror. Its ray diagram is shown. How many mistakes are there in the ray diagram ( $A B$ is principal axis)
![](https://cdn.mathpix.com/cropped/2024_06_14_261784541b5e0ce049e6g-076.jpg?height=361&w... | 1 |
Although a proclaimed atheist, who was it that said "the word 'God' is to me a sound conveying no clear or distinct affirmation"? | 0 |
What does it take to become partner at a large consulting firm? | 0 |
39. If $y=\cos ^{-1}\left(\frac{5 \cos x-12 \sin x}{13}\right)$, where $x \in\left(0, \frac{\pi}{2}\right)$, then $\frac{d y}{d x}$ is
a. 1
b. -1
c. 0
d. None of these | 1 |
What did the Greek minister of finance clarify the 1999 budget was below when calculated with the ESA79 methodology? | 0 |
How is gasoline less dense than water? | 0 |
Can food replace whey protein? | 0 |
1. If $|\vec{a}|=2$ and $|\vec{b}|=3$ and $\vec{a} \cdot \vec{b}=0$, then $(\vec{a} \times(\vec{a} \times(\vec{a} \times(\vec{a} \times \vec{b}))))$ is equal to
(a) $48 \hat{b}$
(b) $-48 \hat{b}$
(c) $48 \hat{a}$
(d) $-48 \hat{a}$ | 1 |
32. Two identical metal plates are given positive charges $Q_{1}$ and $Q_{2}\left(<Q_{1}\right)$ respectively. If they are now brought close together to form a parallel plate capacitor with capacitance $C$, the potential difference between them is
(a) $\left(Q_{1}+Q_{2}\right) / 2 C$
(b) $\left(Q_{1}+Q_{2}\right) / C... | 1 |
83. The number of ways in which we can distribute $m n$ students equally among $m$ sections is given by
a. $\frac{(m n)!}{n!}$
b. $\frac{(m n)!}{(n!)^{m}}$
c. $\frac{(m n)!}{m!n!}$
d. $(m n)^{m}$ | 1 |
7.70 The ionization constant of benzoic acid is $6.46 \times 10^{-5}$ and $K_{\mathrm{sp}}$ for silver benzoate is $2.5 \times 10^{-13}$. How many times is silver benzoate more soluble in a buffer of pH 3.19 compared to its solubility in pure water? | 1 |
Example 15 Define the real valued function $f: \mathbf{R}-\{0\} \rightarrow \mathbf{R}$ defined by $f(x)=\frac{1}{x}$, $x \in \mathbf{R}-\{0\}$. Complete the Table given below using this definition. What is the domain and range of this function?
| $x$ | -2 | -1.5 | -1 | -0.5 | 0.25 | 0.5 | 1 | 1.5 | 2 |
| :---: | :---... | 1 |
What does "no means no" mean? | 0 |
How can I start to make money online? | 0 |
Is there any Wordpress theme similar to blog.intercom.com? | 0 |
When was the British slave trade abolished? | 0 |
- Example 1.23 If the circumcentre of an acute angled triangle lies at the origin and the centroid is the middle point of the line joining the points $\left(a^{2}+1, a^{2}+1\right)$ and $(2 a$, $-2 a$ ), then find the orthocentre. | 1 |
On which online free website can I watch foreign movies with English subtitles? | 0 |
11. The ground state energy of hydrogen atom is $-13.6 \mathrm{eV}$. The energy of second excited state of $\mathrm{He}^{+}$ ion in $\mathrm{eV}$ is:
(a) -54.4
(b) -3.4
(c) -6.04
(d) -27.2 | 1 |
Can I board the train from Mumbai central if reservation is from Mumbai central but boarding point is borivali? | 0 |
41. The solution of the differential equation $\frac{d y}{d x}=\frac{1}{x y\left[x^{2} \sin y^{2}+1\right]}$ is
a. $\dot{x}^{2}\left(\cos y^{2}-\sin y^{2}-2 C e^{-x^{2}}\right)=2$
b. $y^{2}\left(\cos x^{2}-\sin y^{2}-2 C e^{-y^{2}}\right)=2$
c. $x^{2}\left(\cos y^{2}-\sin y^{2}-e^{-y^{2}}\right)=4 C$
d. None of these | 1 |
13. If $S=\frac{1}{1 \times 3 \times 5}+\frac{1}{3 \times 5 \times 7}+\frac{1}{5 \times 7 \times 9}+\cdots$ to infinity, then find the value of $[36 S]$, where [.] represents the greatest integer function. | 1 |
Why is Sachin a cricketer? | 0 |
What can also be provided by foreign aid? | 0 |
2. A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force $2 \mathrm{~N}$ down the inclined plane. The maximum external force up the inclined plane that
 A second order reaction is always a multistep reaction
(b) A zero order reaction is a multistep reaction
(c) A first order reaction is always a single step reaction
(d) A zero order reaction is a single step reaction | 1 |
1. Let $K$ be a positive real number and
$A=\left[\begin{array}{ccc}2 k-1 & 2 \sqrt{k} & 2 \sqrt{k} \\ 2 \sqrt{k} & 1 & -2 k \\ -2 \sqrt{k} & 2 k & -1\end{array}\right]$ and $B=\left[\begin{array}{ccc}0 & 2 k-1 & \sqrt{k} \\ 1-2 k & 0 & 2 \\ -\sqrt{k} & -2 \sqrt{k} & 0\end{array}\right]$
If $\operatorname{det}(\opera... | 1 |
7. A liquid is filled in a container as shown in figure. Container is accelerated towards right. There are four points $A, B, C$ and $D$ in the liquid. Choose the correct options.
(a) $p_{... | 1 |
3. A simple pendulum of length $L$ is placed between the plates of a parallel plate capacitor having electric field $E$, as shown in figure. Its bob has mass $m$ and charge $q$. The time period of the pendulum is given by
 $\mathrm{A} \cap(\mathrm{A} \cup \mathrm{B})=\mathrm{A}$. | 1 |
Bass Guitar: What are the greatest basslines ever? | 0 |
12. Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
a. $3 / 5$
b. $1 / 5$
c. $2 / 5$
d. $4 / 5$ | 1 |
9. Pure water freezes at $273 \mathrm{~K}$ and 1 bar. The addition of $34.5 \mathrm{~g}$ of ethanol to $500 \mathrm{~g}$ of water changes the freezing point of the solution. Use the freezing point depression constant of water as $2 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$. The figures shown below represent plots of... | 1 |
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