Question stringlengths 2 3k | label int64 0 1 |
|---|---|
12. The line $x=C$ cuts the triangle with vertices $(0,0),(1,1)$ and $(9,1)$ into two regions. For the area of the two regions to be the same, $C$ must be equal to | 1 |
18. To determine the NaCl content in commercial $\mathrm{NaOH}, 2 \mathrm{~g}$ of the latter was dissolved in water and an excess amount of an $\mathrm{AgNO}_{3}$ solution was added to this solution. The precipitate formed was washed and dried. Its mass was 0.287 g . Find the mass of NaCl in the initial sample.
( $0 \c... | 1 |
Which is the best gadget to be released in 2016? | 0 |
What are the best apps for education? | 0 |
What is the role of social media? | 0 |
2. The ratio of specific heat in the process $C A$ to the specific heat in the process $B C$ is
(a) 2
(b) $\frac{5}{3}$
(c) 4
(d) None of these | 1 |
Do all Jains have the surname Jain? | 0 |
18. A particle executes $\mathrm{SHM}$ of period $1.2 \mathrm{~s}$ and amplitude $8 \mathrm{~cm}$. Find the time it takes to travel $3 \mathrm{~cm}$ from the positive extremity of its oscillation. $\left[\cos ^{-1}(5 / 8)=0.9 \mathrm{rad}\right]$
(a) $0.28 \mathrm{~s}$
(b) $0.32 \mathrm{~s}$
(c) $0.17 \mathrm{~s}$
(d) ... | 1 |
Why most of the anti reservation people not concerned about the 100% reservation provided in the Indian film industry? | 0 |
(i) Ethanol to but-1-yne | 1 |
How we can predict or estimate the sound quality of headphone or earphone by just seeing the specifications? | 0 |
What penis size do women prefer? | 0 |
56. If the intercept made on the line $y=m x$ by lines $y=2$ and $y=6$ is less than 5 , then the range of values of $m$ is
a. $(-\infty,-4 / 3) \cup(4 / 3,+\infty)$
b. $(-4 / 3,4 / 3)$
c. $(-3 / 4,4 / 3)$
d. none of these | 1 |
34. The graph of the function $\cos x \cos (x+2)-\cos ^{2}(x+1)$ is
(a) a straight line passing through $\left(0,-\sin ^{2} 1\right)$ with slope 2
(b) a straight line passing through $(0,0)$
(c) a parabola with vertex $\left(1,-\sin ^{2} 1\right)$
(d) a straight line passing through the point $\frac{\pi}{2},-\sin... | 1 |
1. Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2 . The system is filled with an ideal gas at temperature 100 K and 200 K respectively. If the mass of the gas in 1 be $m$, then what is the mass of the gas in flask 2 .
 of reagents that yield paramagnetic speciesis/are
(a) $\mathrm{Na}$ and excess of $\mathrm{NH}_{3}$
(b) $\mathrm{K}$ and excess of $\mathrm{O}_{2}$
(c) $\mathrm{Cu}$ and dilute $\mathrm{HNO}_{3}$
(d) $\mathrm{O}_{2}$ and 2-ethylanthraquinol | 1 |
5. Let $f(x)=\left\{\begin{array}{cc}x^{2}-4 x+3, & x<3 \\ x-4, & x \geq 3\end{array}\right.$ and $g(x) \leq\left\{\begin{array}{cc}x-3, & x<4 \\ x^{2}+2 x+2, & x \geq 4\end{array}\right.$. Describe the function $\mathrm{f} / \mathrm{g}$ and find its domain. | 1 |
11. Identify the correct statement :
[Main Online April 10, 2016]
(a) Corrosion of iron can be minimized by forming a contact with another metal with a higher reduction potential
(b) Iron corrodes in oxygen free water
(c) Corrosion of iron can be minimized by forming an impermeable barrier at its surface
(d) Iron ... | 1 |
15. If $\left(\operatorname{cosec}^{2} \theta-4\right) x^{2}+(\cot \theta+\sqrt{3}) x+\cos ^{2} \frac{3 \pi}{2}=0$ holds true for all real $x$, then the most general values of $\theta$ can be given by $(n \in Z)$
a. $2 n \pi+\frac{11 \pi}{6}$
b $2 n \pi+\frac{5 \pi}{6}$
c. $2 n \pi \pm \frac{7 \pi}{6}$
d. $n \pi \pm \f... | 1 |
How can I get rid of black little bugs in my bed? | 0 |
40. The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is (are) correct?
(a) $T_{1}=T_{2}$
(... | 1 |
My crush likes my best friend. What do I do? | 0 |
How do I add subtitles to a movie? | 0 |
What do I need beside usmle exams to get into the surgery residency in US? | 0 |
12. Assertion : Two bodies of unequal masses $m_{1}$ and $m_{2}$ are dropped from the same height. If the resistance offered by air to the motion of both bodies is the same, the bodies will reach the earth at the same time.
Reason : For equal air resistance, acceleration of fall of masses $m_{1}$ and $m_{2}$ will be d... | 1 |
What are some ways to improve critical reading and reading comprehension skills? | 0 |
What were the Russians hoping to find in the pacific ocean? | 0 |
What is a suitable solar panel installation provider near Atascadero, California CA? | 0 |
17. $3 x-2<2 x+1$ | 1 |
Which is better coaching institute for GRE in Bangalore? | 0 |
What is the nature of the philosophy of science? | 0 |
(v) The sides of a quadrilateral have equal length. | 1 |
14. A point charge $+Q$ is placed just outside an imaginary hemispherical surface of radius $R$ as shown in the figure. Which of the following statements is/are correct?
(a) The electric f... | 1 |
8. A transverse wave is described by the equation $y=y_{0} \sin 2 \pi\left(f t-\frac{x}{\lambda}\right)$. The maximum particle velocity is equal to four times the wave velocity if
(a) $\lambda=\pi y_{0} / 4$
(b) $\lambda=\pi y_{0} / 2$
(c) $\lambda=\pi y_{0}$
(d) $\lambda=2 \pi y_{0}$ Objective | 1 |
88. The solution of the differential equation
$\left(e^{x^{2}}+e^{y^{2}}\right) y \frac{d y}{d x}+e^{x^{2}}\left(x y^{2}-x\right)=0$ is
a. $e^{x^{2}}\left(y^{2}-1\right)+e^{y^{2}}=C$
b. $e^{y^{2}}\left(x^{2}-1\right)+e^{x^{2}}=C$
c. $e^{y^{2}}\left(y^{2}-1\right)+e^{x^{2}}=C$
d. $e^{x^{2}}(y-1)+e^{y^{2}}=C$ | 1 |
What are the reasons for brain drain in India? | 0 |
10.
The product A will be
(a)
(b)
 for four gases $\alpha, \beta, \gamma$ and $\delta$ in water at 298 $\mathrm{K}$ is given below :
$$
\begin{array}{c|c|c|c|c}
& \alpha & \beta & \gamma & \delta \\
\hline \mathrm{K}_{\mathrm{H}} & 50 & 2 & 2 \times 10^{-5} & 0.5
\end{array}
$$
(density of water $=10^{3} \mathrm{~kg} ... | 1 |
19. A compound $M_{p} X_{q}$ has cubic close packing ( $c c p$ ) arrangement of $X$. Its unit cell structure is shown below. The empirical formula of the compound is
$[2012$ - I]
(a) $M X... | 1 |
Have you ever caught someone talking about you in another language? | 0 |
3. Of the students in a college, it is known that $60 \%$ reside in hostel and $40 \%$ are day scholars (not residing in hostel). Previous year results report that $30 \%$ of all students who reside in hostel attain A grade and $20 \%$ of day scholars attain A grade in their annual examination. At the end of the year, ... | 1 |
I have almost completed my degree in Information Assurance. What are some common questions asked in an interview for an entry level infosec engineer? | 0 |
10. $q_{3}$ is
(a) $\frac{Q(a+b)}{a-b}$
(b) $\frac{Q a^{2}}{b}$
(c) $\frac{Q(a-b)}{b}$
(d) $-\frac{Q b}{a}$ | 1 |
What killed 10 million people in India? | 0 |
37. A block of mass $10 \mathrm{~kg}$ is moving in $x$-direction with a constant speed of $10 \mathrm{~m} / \mathrm{s}$. It is subjected to a retarding force $F=-0.1 x \mathrm{~J} / \mathrm{m}$ during its travel from $x=20 \mathrm{~m}$ to $x=30 \mathrm{~m}$. Its final kinetic energy will be
(a) $475 \mathrm{~J}$
(b) $4... | 1 |
Example 7 Three discs, $A, B$ and $C$ having radii $2 m, 4 m$ and $6 m$ respectively are coated with carbon black on their outer surfaces. The wavelengths corresponding to maximum intensity are $300 \mathrm{~nm}, 400 \mathrm{~nm}$ and $500 \mathrm{~nm}$, respectively. The power radiated by them are $Q_{A}, Q_{B}$ and $... | 1 |
What is South Korea shouting at North Korea? | 0 |
27. Let $2 x+3 y=6$ be a line meeting the coordinate axes at $A$ and $B$, respectively. A variable line $x / a+y / b=1$ meets the axes at $P$ and $Q$, respectively, in such a way that the lines $B P$ and $A Q$ always meet at right angle at $R$. Find the locus of the orthocentre of the triangle $A R B$. | 1 |
1. Which of the following functions from $Z$ to itself are bijections?
a. $f(x)=x^{3}$
b. $f(x)=x+2$
c. $f(x)=2 x+1$
d. $f(x)=x^{2}+x$ | 1 |
5. The electronegativity of aluminium is similar to:
(a) Carbon
(b) Beryllium
(c) Boron
(d) Lithium | 1 |
56. $\min \left[\left(x_{1}-x_{2}\right)^{2}+\left(5+\sqrt{1-x_{1}^{2}}-\sqrt{4 x_{2}}\right)^{2}\right] \forall x_{1}, x_{2} \in R$ is
a. $4 \sqrt{5}+1$
b. $4 \sqrt{5}-1$
c. $\sqrt{5}+1$
d. $\sqrt{5}-1$ | 1 |
27. For the reversible reaction, $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_{3}(\mathrm{~g})$ at $500^{\circ} \mathrm{C}$, the value of $K_{p}$ is $1.44 \times 10^{-5}$ when partial pressure is measured in atmospheres. The corresponding value of $K_{c}$, with concentrati... | 1 |
26. Show that $\frac{1 \times 2^{2}+2 \times 3^{2}+\ldots+n \times(n+1)^{2}}{1^{2} \times 2+2^{2} \times 3+\ldots+n^{2} \times(n+1)}=\frac{3 n+5}{3 n+1}$. | 1 |
What science terms are used to describe sexual attraction? | 0 |
Along with Reims, where is a notable Gothic cathedral in France located? | 0 |
5. Find the resultant of the three vectors $\overrightarrow{O A}, \overrightarrow{O B}$ and $\overrightarrow{O C}$ shown in figure (2-W4). Radius of the circle is $R$.
Figure 2-W4 | 1 |
26. A vessel contains 1 mole of $\mathrm{O}_{2}$ gas (molar mass 32) at a temperature $T$. The pressure of the gas is $p$. An identical vessel containing one mole of the gas (molar mass 4) at a temperature $2 T$ has a pressure of
(a) $p / 8$
(b) $p$
(c) $2 p$
(d) $8 p$ | 1 |
21. A satellite of mass $m$ revolves around the earth of radius $R$ at a height $x$ from its surface. If $g$ is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
(a) $\sqrt{g x}$
(b) $\sqrt{\frac{g R}{R-x}}$
(c) $\sqrt{\frac{g R^{2}}{R-x}}$
(d) $\sqrt{\frac{g R^{2}}{R+x}... | 1 |
42. The coefficient of viscosity of a solution and its solvent are respectively $\eta$ and $\eta_{0}$. The specific viscosity $\eta_{s p}$ may be expressed as
(a) $\frac{\eta}{\eta_{0}}$
(b) $\frac{\eta-\eta_{0}}{\eta_{0}}$
(c) $\frac{\eta-\eta_{0}}{\eta}$
(d) $\frac{\eta_{0}}{\eta}$ | 1 |
Why do we have two eyes? | 0 |
(a) What is the gravitational potential energy $U$ of the sloth-Earth system if we take the reference point $y=0$ to be (1) at the ground, (2) at a balcony floor that is 3.0 m above
Figur... | 1 |
Why number 2 is not a multiple of number 4? | 0 |
d) What is the amplitude of the magnetic field part of the wave? | 1 |
Top 10 brand consulting firm in india? | 0 |
How can we get rid of masturbation? | 0 |
(b) What is the effect of decrease of pressure on the fusion and boiling point of $\mathrm{CO}_2$ ? | 1 |
How can you stop bleeding after you cut yourself? | 0 |
How is Donald Trump viewed in Singapore? | 0 |
6. If $\sin ^{2} x-2 \sin x-1=0$ has exactly four different solutions in $x \in[0, n \pi]$, then value/values of $n$ is/are $(n \in N)$
a. 5
b. 3
c. 4
d. 6 | 1 |
27. $B$ must be equal to
(a) $\frac{n+1}{n+2}$
(b) $\frac{n+2}{n+1}$
(c) $\frac{n}{n+2}$
(d) $\frac{n-1}{n+2}$ | 1 |
1. The point $(8,-9)$ with respect to the lines $2 x+3 y-4$ $=0$ and $6 x+9 y+8=0$ lies on the
a. same side of the lines
b. different of sides the line
c. one of the line
d. none of these | 1 |
2. Two satellites $A$ and $B$ have masses $m$ and $2 m$ respectively. $A$ is in a circular orbit of radius $R$ and $B$ is in a circular orbit of radius $2 R$ around the earth. The ratio of their kinetic energies, $T_{A} / T_{B}$ is
(a) $\frac{1}{2}$
(b) 2
(c) $\sqrt{\frac{1}{2}}$
(d) 1 | 1 |
33. An elevator cab and its load have a combined mass of 1600 kg . Find the tension in the supporting cable when the cab, originally moving downward at $12 \mathrm{~m} / \mathrm{s}$, is brought to rest with constant acceleration in a distance of 42 m . | 1 |
7. The differential equation of all circles which pass through the origin and whose centres lie on the $y$-axis is
a. $\left(x^{2}-y^{2}\right) \frac{d y}{d x}-2 x y=0$
c. $\left(x^{2}-y^{2}\right) \frac{d y}{d x}-x y=0$
d. $\left(x^{2}-y^{2}\right) \frac{d y}{d x}+x y=0$
h. $\left(x^{2}-y^{2}\right) \frac{d y}{d x}+2 ... | 1 |
Which are the best and the most useful smart phone gadgets? | 0 |
Who believes God isn't real? | 0 |
What is an opt-out class action? | 0 |
Why do people say KInseys work is not correct? | 0 |
Who is your favorite X-Men lady character? Why? | 0 |
16. A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is
increasing at the rate of
(A) $1 \mathrm{~m} / \mathrm{h}$
(B) $0.1 \mathrm{~m} / \mathrm{h}$
(C) $1.1 \mathrm{~m} / \mathrm{h}$
(D) $0.5 \mathrm{~m} / \mathrm{h}$ | 1 |
12. The compressibility factor for an ideal gas is
[1997 - 1 Mark]
(a) 1.5
(b) 1.0
(c) 2.0
(d) $\infty$ | 1 |
17. Statement 1: If $a, b$ are real numbers and $c>0$, then the locus represented by the equation $|a y-b x|$ $=c \sqrt{(x-a)^{2}+(y-b)^{2}}$ is an ellipse.
Statement 2: An ellipse is the locus of a point which moves in a plane such that ratio of its distances from a fixed point (i.e., focus) to the fixed line (i.e., ... | 1 |
What agreement has the Southeast Asian countries signed to combat haze pollution? | 0 |
How can I lose weight if I can't afford healthy food? | 0 |
45. The rate of radioactive decomposition corresponding to $3.7 \times 10^{10}$ disintegration per second is called a curie. What weight of ${ }^{226} \mathrm{Ra}$, whose $\frac{t_1}{2}=1620 \mathrm{yr}$, will be required to yield 1 millicurie of radiation?
$$
\left(1 \times 10^{-3} \mathrm{~g}\right)
$$ | 1 |
Which is the best time for studying? | 0 |
How and Why did Donald Trump win the election? | 0 |
2. The value of $\lim _{n \rightarrow \infty} \sum_{r=1}^{4 n} \frac{\sqrt{n}}{\sqrt{r}(3 \sqrt{r}+4 \sqrt{n})^{2}}$ is equal to
a. $\frac{1}{35}$
b. $\frac{1}{14}$
c. $\frac{1}{10}$
d. $\frac{1}{5}$ | 1 |
Example 2.50 If $z$ is any complex number such that $|z+4| \leq 3$, then find the greatest value of $|z+1|$. | 1 |
45. Calculate the kinetic energy of Avogadro constant of gaseous molecules at $0^{\circ} \mathrm{C}$.
$$
\left(3.4 \times 10^{10} \mathrm{erg}\right)
$$ | 1 |
How can black holes be infinitesimally small, therefore having infinite density? It would make more sense for a black hole to be incredibly dense. | 0 |
25. If the hypotenuse of a right-angled triangle is four times the length of the perpendicular drawn from the opposite vertex to it, then the difference of the two acute angles will be
a. $60^{\circ}$
B. $15^{\circ}$
c. $75^{\circ}$
d. $30^{\circ}$ | 1 |
If a guy cuts off all contact after a girl rejects him, does it mean that he was only after her body? | 0 |
What was the fertility rate of Hyderabad according to a 2005 survey? | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.