Question stringlengths 2 3k | label int64 0 1 |
|---|---|
6. Give the MKS units for each of the following quantities:
(a) Young's modulus
(b) Magnetic induction
(c) Power of a lens | 1 |
5. The number of structural isomers for $\mathrm{C}_{6} \mathrm{H}_{14}$ is :
(a) 4
(b) 3
(c) 6
(d) 5 | 1 |
Fish Roe: What is the difference between caviar, tobiko, and ikura? | 0 |
What motivates you to lose weight? | 0 |
10. Let two non-collinear unit vectors $\hat{\mathbf{a}}$ and $\hat{\mathbf{b}}$ form an acute angle. A point $P$ moves, so that at any time $t$ the position vector $\overrightarrow{\mathbf{O P}}$ (where, $O$ is the origin) is given by $\hat{\mathbf{a}} \cos t+\hat{\mathbf{b}} \sin t$. When $P$ is farthest from origin ... | 1 |
7. For positive numbers $x, y$ and $z$, the numerical value of the determinant $\left|\begin{array}{ccc}1 & \log _{x} y & \log _{x} z \\ \log _{y} x & 1 & \log _{y} z \\ \log _{y} x & \log _{y} y & 1\end{array}\right|$ is $\qquad$
(IIT-JEE, 1993) | 1 |
What is meant by post in Quora? | 0 |
What is the foundational document of affective computing? | 0 |
8. A uniform metallic wire has a resistance of $18 \Omega$ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is
(2019 Main, 10 Jan I)
(a) $12 \Omega$
(b) $8 \Omega$
(c) $2 \Omega$
(d) $4 \Omega$ | 1 |
5. A series $\mathrm{AC}$ circuit containing an inductor $(20 \mathrm{mH})$, a capacitor $(120 \mu \mathrm{F})$ and a resistor $(60 \Omega)$ is driven by an $\mathrm{AC}$ source of $24 \mathrm{~V} / 50 \mathrm{~Hz}$. The energy dissipated in the circuit in $60 \mathrm{~s}$ is
(a) $3.39 \times 10^{3} \mathrm{~J}$
(b) $5... | 1 |
1. If the line $a x+y=c$, touches both the curves $x^{2}+y^{2}=1$ and $y^{2}=4 \sqrt{2} x$, then $|c|$ is equal to
(a) $\frac{1}{\sqrt{2}}$
(b) 2
(c) $\sqrt{2}$
(d) $\frac{1}{2}$ | 1 |
What is use of keywords? | 0 |
9. Derive an expression for the gravitational field due to a uniform rod of length $L$ and mass $M$ at a point on its perpendicular bisector at a distance $d$ from the centre. | 1 |
17. Suppose $a, b, c$ are the roots of the cubic $x^{3}-x^{2}-2=0$. Then the value of $a^{3}+b^{3}+c^{3}$ is. | 1 |
11. If $A, B, C$ and $D$ are any four points and $E$ and $F$ are the middle points of $A C$ and $B D$, respectively then prove that $\overrightarrow{C B}+\overrightarrow{C D}+\overrightarrow{A D}+\overrightarrow{A B}=4 \overrightarrow{E F}$. | 1 |
7. The differential equation $\frac{d y}{d x}=\frac{\sqrt{1-y^{2}}}{y}$ determines a family of circles with
(a) variable radii and a fixed centre at $(0,1)$
(b) variable radii and a fixed centre at $(0,-1)$
(c) fixed radius 1 and variable centres along the $X$-axis
(d) fixed radius 1 and variable centres along the... | 1 |
Is K-pop especially popular in Thailand? | 0 |
34. Predict the type of radioactive decay process that is likely for each of the following nuclides.
(a) ${ }_{92}^{228} \mathrm{U}$
(b) ${ }_5^8 \mathrm{~B}$
(c) ${ }_{29}^{68} \mathrm{Cu}$
[(a) $\alpha$ (b) $\beta^{+}$or K-capture
(c) $\beta$ emission] | 1 |
40. A point on the parabola $y^{2}=18 x$ at which the ordinate increases at twice the rate of the abscissa is
a. $(2,6)$
b $(2,-6)$
c. $\left(\frac{9}{8},-\frac{9}{2}\right)$
$\mathbf{d}\left(\frac{9}{8}, \frac{9}{2}\right)$ | 1 |
How do I get more user for an Education ERP keyword? | 0 |
Does your country include a persons religion or ethnicity on identity documents? | 0 |
When was the Seven Years' War? | 0 |
How does the existence of credit scores influence good repayment behavior? | 0 |
37. For the equilibrium $\mathrm{COCl}_2(\mathrm{~g}) \rightleftharpoons \mathrm{CO}(\mathrm{g})+\mathrm{Cl}_2(\mathrm{~g}), K_{1000 \mathrm{~K}}$ is $0 \cdot 329$. Suppose that $x$ moles of $\mathrm{COCl}_2$ is allowed to reach equilibrium in a one-litre container. What will be the value of $x$ that must be used in or... | 1 |
18. Two sound waves of wavelengths $\lambda_{1}$ and $\lambda_{2}\left(\lambda_{2}>\lambda_{1}\right)$ produce $n$ beats/s, the speed of sound is
(a) $\frac{n \lambda_{1} \lambda_{2}}{\lambda_{2}-\lambda_{1}}$
(b) $n \frac{1}{\lambda_{1}}-\frac{1}{\lambda_{2}}$
(c) $n\left(\lambda_{2}-\lambda_{1}\right)$
(d) $n\left(\l... | 1 |
19. The magnetic moment of an octahedral homoleptic $\mathrm{Mn}$ (II) complex is 5.9 BM. The suitable ligand for this complex is :
[Main Jan. 12, 2019 (II)]
(a) Ethylenediamine
(b) $\mathrm{CN}^{-}$
(c) $\mathrm{NCS}^{-}$
(d) $\mathrm{CO}$ | 1 |
10. If the vectors $\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}$ and $\overrightarrow{\mathbf{c}}$ from the sides $B C, C A$ and $A B$ respectively of a $\triangle A B C$, then
(a) $\overrightarrow{\mathbf{a}} \cdot \overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{b}} \cdot \overrightarrow{\mathbf{c}}+... | 1 |
42. If $\cos ^{-1} x-\cos ^{-1} \frac{y}{2}=\alpha$, then $4 x^{2}-4 x y \cos \alpha+y^{2}$ is equal to
a. 4
b $2 \sin ^{2} \alpha$
c. $-4 \sin ^{2} \alpha$
d. $4 \sin ^{2} \alpha$ | 1 |
1. Let $F, F_{N}$ and $f$ denote the magnitudes of the contact force, normal force and the friction exerted by one surface on the other kept in contact. If none of these is zero,
(a) $F>F_{N}$
(b) $F>f$
(c) $F_{N}>f$
(d) $F_{N}-f<F<F_{N}+f$. | 1 |
When did the US declare independence? | 0 |
So is Google evil or not? | 0 |
Do I need to have a vehicle in order to get a permanent driving license in Bangalore? | 0 |
7. The half-lives of radioisotopes $P^{32}$ and $P^{33}$ are 14 days and 25 days respectively. These radioisotopes are mixed in the ratio of $4: 1$ of their atoms. If the initial activity of the mixed sample is $3.0 \mathrm{mCi}$, find the activity of the mixed isotopes after 60 years. | 1 |
What according to YOU is the purpose of life? | 0 |
5. For each positive integer $n$, let
$$
y_{n}=\frac{1}{n}((n+1)(n+2) \ldots(n+n))^{\frac{1}{n}}
$$
For $x \in R$, let $[x]$ be the greatest integer less than or equal to $x$. If $\lim _{n \rightarrow \infty} y_{n}=L$, then the value of $[L]$ is
(2018 Adv.) | 1 |
11. A body falling vertically downwards under gravity
breaks in two parts of unequal masses. The centre of
mass of the two parts taken together shifts horizontally
towards
(a) heavier piece (b) lighter piece
(c) does not shift horizontally
(d) depends on the vertical velocity at the time of
breaking. | 1 |
How can Elon Musk call himself an engineer? | 0 |
Which is the most liberal Muslim country in the Middle East? | 0 |
6. Which of the following compounds are structural isomers of $\mathrm{C}_{5} \mathrm{H}_{10}$ ?
(1) 2-methylbut-2-ene
(2) 3-methylbut-1-ene
(3) Pent-1-ene
(A) (1) and (2) only
(B) (1) and (3) only
(C) (2) and (3) only
(D) (1), (2) and (3) | 1 |
5. A satellite is revolving around a planet in a circular orbit. What will happen, if its speed is increased from $v_{0}$ to
(a) $\sqrt{1.5} v_{0}$
(b) $2 v_{0}$ | 1 |
Why are Mass Paperbacks called so? | 0 |
146. The equation $a^{2} x^{2}+2 h(a+b) x y+b^{2} y^{2}=0$ and $a x^{2}+2 h x y$ $+b y^{2}=0$ represent
a. two pairs of perpendicular straight lines
b. two pairs of parallel straight lines
c. two pairs of straight lines which are equally inclined to each other
d. none of these | 1 |
2. A compass needle is placed in the gap of a parallel plate capacitor. The capacitor is connected to a battery through a resistance. The compass needle
(a) does not deflect
(b) deflects for a very short time and then comes back to the original position
(c) deflects and remains deflected as long as the battery is co... | 1 |
Where is the best Fridge service center in Hyderabad? | 0 |
What would happen if we supply diesel to a petrol car and vice versa? | 0 |
10. A solid sphere rolls down two different inclined planes of the same height but of different inclinations
(a) in both cases the speeds and time of descend will be same
(b) the speeds will be same but time of descend will be different
(c) the speeds will be different but time of descend will be same
(d) speeds an... | 1 |
22. Column I gives some devices and Column II gives some processes on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II.
| | Column I | | Column II |
| :---: | :---: | :---: | :---: |
| (A) | Bimetallic strip | (p) | Radiation from a hot body |
| (B) | Ste... | 1 |
14. At $518{ }^{\circ} \mathrm{C}$, the rate of decomposition of a sample of gaseous acetaldehyde, initially at a pressure of 363 Torr, was $1.00 \mathrm{Torr} \mathrm{s}^{-1}$ when $5 \%$ had reacted and 0.5 Torr s $^{-1}$ when $33 \%$ had reacted. The order of the reaction is :
(a) 2
(b) 3
(c) 1
(d) 0 | 1 |
Why does the Indian Army kill dogs and horses if they are unfit? | 0 |
Is it possible for mobile phones without a SIM card to connect to the internet without using WiFi? | 0 |
In Ohio’s Pick 4 game, you pay $1 to select a sequence of four digits, from 0 to 9. Numbers can repeat. If you buy one ticket and win, do you get $5000? | 0 |
(a)
 | 1 |
Pregnancy after tubal ligation- How will one know if they have ectopic pregnancy? Can there be a missed period if implantation happens but not in uterus? | 0 |
3.
| Column I | Column II |
| :---: | :---: |
| a. If the tangent to the ellipse $x^{2}+4 y^{2}=$ <br> 16 at the point $P(\phi)$ is a normal to the <br> circle $x^{2}+y^{2}-8 x-4 y=0$, then $\frac{\phi}{2}$ may <br> be | p. 0 |
| b. The eccentric angle(s) of a point on the <br> ellipse $x^{2}+3 y^{2}=6$ at a distance... | 1 |
Can I downgrade Windows 10 to Windows 7 if I had Windows 8 before the upgrade? | 0 |
62. Suppose that $f(x)$ is a quadratic expression positive for all real $x$. If $g(x)=f(x)+f^{\prime}(x)+f^{\prime \prime}(x)$, then for any real $x$ (where $f(x)$ and $f^{\prime \prime}(x)$ represent $1^{\text {st }}$ and $2^{\text {nd }}$ derivative respectively)
a. $g(x)<0$
b. $g(x)>0$
c. $g(x)=0$
d. $g(x) \geq 0$ | 1 |
14. Assuming the first step of dissociation to be complete, find the concentrations of all species in a $0.1 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ solution. $K_2=1.2 \times 10^{-2}$.
$$
\left(\left[\mathrm{H}_2 \mathrm{SO}_4\right]=0 \mathrm{M},\left[\mathrm{HSO}_4^{-}\right]=0.09 \mathrm{M},\left[\mathrm{H}^{+}\righ... | 1 |
35. Number of paired electrons in $\mathrm{O}_{2}$ molecule is :
(a) 7
(b) 8
(c) 16
(d) 14 | 1 |
What is the difference between Curiosity and Intelligence? | 0 |
How can I open a blocked website? | 0 |
(b) Find the time interval calculated by the friend on the earth between the consecutive birthday celebrations of the traveller. | 1 |
How can you argue peace and compassion are the correct way? | 0 |
Which is better PS4 or Xbox? | 0 |
20. A shell is fired from a cannon with a velocity $v(\mathrm{~m} / \mathrm{s})$ at an angle $\theta$ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed $(\mathrm{m} / \mathrm{s})$ of the other piece ... | 1 |
How can I make a video like this? | 0 |
What are some things new employees should know going into their first day at Anatolia Energy? | 0 |
25. Let $m_{p}$ be the mass of proton, $m_{n}$ the mass of neutron. $M_{1}$ the mass of ${ }_{10}^{20} \mathrm{Ne}$ nucleus and $M_{2}$ the mass of ${ }_{20}^{40} \mathrm{Ca}$ nucleus. Then
(a) $M_{2}=2 M_{1}$
(b) $M_{2}>2 M_{1}$
(c) $M_{2}<2 M_{1}$
(d) $M_{1}<10\left(m_{n}+m_{p}\right)$ | 1 |
17. $\mathrm{XeF}_{4}$ and $\mathrm{XeF}_{6}$ are expected to be
(a) oxidizing
(b) reducing
$\left(\mathrm{CH}_{3}\right)_{2} \mathrm{SiCl}_{2}$
(c) unreactive
(d) strongly basic | 1 |
9. The number of pentagons in $\mathrm{C}_{60}$ and trigons (triangles) in white phosphorous, respectively, are :
(a) 20 and 3
(b) 12 and 4
(c) 12 and 3
(d) 20 and 4 | 1 |
How easy is it to sell things on Panama City Craigslist? | 0 |
10. Let $f$ and $g$ be continuous function on $a \leq x \leq b$ and $p(x)=\max \{f(x), g(x)\}$ and $q(x)=\min$ $\{f(x), g(x)\}$. The area bounded by the curves $y=p(x), y=q(x)$ and the ordinates $x=a$ and $x=b$ is given by
(a) $\int_{a}^{b}(f(x)-g(x)) d x$
(b) $\int_{a}^{b}(p(x)-q(x)) d x$
(c) $\int_{a}^{b}|p(x)-q(x)| ... | 1 |
Is Facebook a profit making or loss making company? | 0 |
10. Which of the following is/are true?
a. There are infinite positive integral values of $a$ for which $(13 x-1)^{2}+(13 y-2)^{2}=\left(\frac{5 x+12 y-1}{a}\right)^{2}$ represents an ellipse
b. The minimum distance of a point $(1,2)$ from the ellipse $4 x^{2}+9 y^{2}+8 x-36 y+4=0$ is 1
c. If from a point $P(0, \alp... | 1 |
What are some examples of satire in The Great Gatsby? | 0 |
1.5 When a glass rod is rubbed with a silk cloth, charges appear on both. A similar phenomenon is observed with many other pairs of bodies. Explain how this observation is consistent with the law of conservation of charge. | 1 |
During the rule of what two groups did dance and music from North India become popular? | 0 |
36. The locus of a point which moves such that the sum of the squares of its distance from three vertices of a triangle is constant is a/an
a. circle
b. straight line
c. ellipse
d. None of these | 1 |
Which is a good solar panel installation provider near Aliso Viejo, California CA? | 0 |
1.32 Use the data given in the following table to calculate the molar mass of naturally occuring argon isotopes:
| Isotope | Isotopic molar mass | Abundance |
|------------------------|--------------------------------|-----------|
| ${ }^{36} \mathrm{Ar}$ | 35.96755 g $\mathrm{mol}^{-1}$ | 0.... | 1 |
12. Chlorobenzene can be prepared by reacting aniline with :
(a) hydrochloric acid
(b) cuprous chloride
(c) chlorine in presence of anhydrous aluminium chloride
(d) nitrous acid followed by heating with cuprous chloride
(9) True False | 1 |
How can I change my Snapchat username? | 0 |
What is the best time-pass activity at the office? | 0 |
118. If the radius of the circle $(x-1)^{2}+(y-2)^{2}=1$ and $(x-7)^{2}+(y-10)^{2}=4$ are increasing uniformly w.r.t. time as 0.3 and $0.4 \mathrm{unit} / \mathrm{sec}$, then they will touch each other at $t$ equal to
a. $45 \mathrm{sec}$
b. $90 \mathrm{sec}$
c. $11 \mathrm{sec}$
d. $135 \mathrm{sec}$ | 1 |
Am I qualified to apply to iOS developer job postings? | 0 |
49. The value of $\int_{1}^{e}\left(\frac{\tan ^{-1} x}{x}+\frac{\log x}{1+x^{2}}\right) d x$ is
a. $\tan e$
b. $\tan ^{-1} e$
c. $\tan ^{-1}(1 / e)$
d. None of these | 1 |
Why does Donald Trump have orange skin? | 0 |
79. The number of positive integral solutions of $x^{4}-y^{4}=3789108$ is
a. 0
b. 1
c. 2
d. 4 | 1 |
I want to start learning programming and have 3 years to prepare for a product-manager role. Where do I start? | 0 |
How do Hawking and Mlodinow believe the question of God can be answered? | 0 |
1. Given positive integers $r>1, n>2$ and that the coefficient of (3r) ${ }^{\text {th }}$ and $(r+2)^{\mathrm{th}}$ terms in the binomial expansion of $(1+x)^{2 n}$ are equal. Then
(IIT-JEE, 1983)
a. $n=2 r$
b. $n=2 r+1$
c. $n=3 r$
d. none of these | 1 |
A strip of tissue found at the edge of the frontal lobe is called what? | 0 |
19 (a) How far from grains of red sand must you be to position yourself just at the limit of resolving the grains if your pupil diameter is 1.5 mm , the grains are spherical with radius $50 \mu \mathrm{m}$, and the light from the grains has wavelength 650 nm ? (b) If the grains were blue and the light from them had wav... | 1 |
3. Let [.] denotes the greatest integer function and $f(x)=\left[\tan ^{2} x\right]$, then
$(1993,1$ M)
(a) $\lim _{x \rightarrow 0} f(x)$ does not exist
(b) $f(x)$ is continuous at $x=0$
(c) $f(x)$ is not differentiable at $x=0$
(d) $f^{\prime}(0)=1$ | 1 |
What is the basic difference between legal and illegal? Who creates such differences? Is it related with personal interest? | 0 |
How do I make the unconscious conscious? | 0 |
2. Let $a, b, c$ be non-zero real numbers such that
$\int_{0}^{1}\left(1+\cos ^{8} x\right)\left(a x^{2}+b x+c\right) d x$
$=\int_{0}^{2}\left(1+\cos ^{8} x\right)\left(a x^{2}+b x+c\right) d x$.
Then, the quadratic equation
$a x^{2}+b x+c=0$ has
a. no root in $(0,2)$
b. at least one root in $(0,2)$
c. a double r... | 1 |
23. If both $A-\frac{1}{2} I$ and $A+\frac{1}{2}$ are orthogonal matrices, then a. $A$ is orthogonal
b. $A$ is skew-symmetric matrix of even order
c. $A^{2}=\frac{3}{4} I$
d. none of these | 1 |
17. Which of the following is the energy of a possible excited state of hydrogen ?
(a) $-3.4 \mathrm{eV}$
(b) $+6.8 \mathrm{eV}$
(c) $+13.6 \mathrm{eV}$
(d) $-6.8 \mathrm{eV}$ | 1 |
What is the limit to which you have been cheated by someone or duped? | 0 |
20. The integral $\int_{\pi / 4}^{\pi / 2}(2 \operatorname{cosec} x)^{17} d x$ is equal to
(a) $\int_{0}^{\log (1+\sqrt{2})} 2\left(e^{u}+e^{-u}\right)^{16} d u$
(b) $\int_{0}^{\log (1+\sqrt{2})}\left(e^{u}+e^{-u}\right)^{17} d u$
(c) $\int_{0}^{\log (1+\sqrt{2})}\left(e^{u}-e^{-u}\right)^{17} d u$
(d) $\int_{0}^... | 1 |
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