Question
stringlengths
2
3k
label
int64
0
1
Is it important to take tablets in hot water?
0
The regional offices of the IMF, UNICEF, and UNESCO are all located in what major Indian city?
0
What religious text helps reinforce to Muslims that Christianity is more like polytheism?
0
2. The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one, if $D_{m}$ is the angle of minimum deviation? ![](https://cdn.mathpix.com/cropped/2023_12_28_092f08a9ae3c385eb2ccg-339.jpg?height=656&width=600&top_left_y=...
1
9. Let $A=\left[\begin{array}{ccc}1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1\end{array}\right]$, where $0 \leq \theta \leq 2 \pi$. Then (A) $\operatorname{Det}(\mathrm{A})=0$ (B) $\operatorname{Det}(\mathrm{A}) \in(2, \infty)$ (C) $\operatorname{Det}(\mathrm{A}) \in(2,4)$ (D) $...
1
What is the legal definition of Contempt of Congress?
0
19. A rectangular loop of sides $a$ and $b$ is placed in $x y$-plane. A uniform but time varying magnetic field of strength $\mathbf{B}=20 t \hat{\mathbf{i}}+10 t^{2} \hat{\mathbf{j}}+50 \hat{\mathbf{k}}$ is present in the region. The magnitude of induced emf in the loop at time $t$ is (a) $20+20 t$ (b) 20 (c) $20 t$ (...
1
3. The equation of the curve satisfying the differential equation $y\left(\frac{d y}{d x}\right)^{2}+(x-y) \frac{d y}{d x}-x=0$ can be a a. Circle b. Straight line c. Parabola d. Ellipse
1
Can somebody use the definition of the derivative to proof that the derivative of e^(f(x)) is equal to f'(x) *e^(f(x))?
0
11. The sum of all the four numbers is a. 3 b. 0 c. 4 d 2
1
40. If $a$ and $c$ are the lengths of segments of any focal chord of the parabola $y^{2}=2 b x(b>0)$, then the roots of the equation $a x^{2}+b x+c=0$ are a. real and distinct b. real and equal c. imaginary d. none of these
1
What is the minimum CGPA required for admission in M.S. in the US universities?
0
38. $P, Q, R$ and $S$ are the points of intersection with the coordinate axes of the lines $p x+q y=p q$ and $q x+p y=p q$, then $(P, Q>0)$ a. $P, Q, R, S$ from a parallelogram b. $P, Q, R, S$ from a rhombus c. $P, Q, R, S$ are concyclic d. none of these
1
13. Find the change in the internal energy of $2 \mathrm{~kg}$ of water as it is heated from $0^{\circ} \mathrm{C}$ to $4^{\circ} \mathrm{C}$. The specific heat capacity of water is $4200 \mathrm{~J} / \mathrm{kg}-\mathrm{K}$ and its densities at $0^{\circ} \mathrm{C}$ and $4^{\circ} \mathrm{C}$ are $999.9 \mathrm{~kg}...
1
(iv) 4-Oxopentanal
1
28. $\mathrm{MgSO}_{4}$ on reaction with $\mathrm{NH}_{4} \mathrm{OH}$ and $\mathrm{Na}_{2} \mathrm{HPO}_{4}$ forms a white crystalline precipitate. What is its formula? (a) $\mathrm{Mg}\left(\mathrm{NH}_{4}\right) \mathrm{PO}_{4}$ (b) $\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ (c) $\mathrm{MgCl}_{2} \cdot \m...
1
What is shares market?
0
90. The value of $\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}$ is a. 2 b. 3 c. 4 d. none of these
1
How can get my penis to grow in length width and girth?
0
13. The molecule which has zero dipole moment is : (a) $\mathrm{CH}_{2} \mathrm{Cl}_{2}$ (b) $\mathrm{BF}_{3}$ (c) $\mathrm{NF}_{3}$ (d) $\mathrm{ClO}_{2}$
1
1. For positive error, the correction is (a) positive (b) negative (c) nil (d) may be positive or negative
1
Write the structural formula of: (a) o-Ethylanisole, (b) p-Nitroaniline, (c) 2,3 - Dibromo - 1 - phenylpentane, (d) 4-Ethyl-1-fluoro-2-nitrobenzene.
1
21. Two SHMs $s_{1}=a \sin \omega t$ and $s_{2}=b \sin \omega t$ are superimposed on a particle. The $s_{1}$ and $s_{2}$ are along the directions which makes $37^{\circ}$ to each other (a) the particle will perform SHM (b) the path of particle is straight line (c) Both (a) and (b) are correct (d) Both (a) and (b) a...
1
(iv) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{~N}_{2} \mathrm{Cl}+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} \rightarrow$
1
I am not a leader and I am not good at public speaking, what career should I pursue?
0
How can you get gonorrhea from a toilet seat?
0
27. Let $f$ be a real-valued function defined on the interval $(-1,1)$ such that $e^{-x} f(x)=2+\int_{0}^{x} \sqrt{t^{4}+1} d t$, for all $x \in$ $(-1,1)$ and let $f^{-1}$ be the inverse function of $f$. Then $\left(f^{-1}\right)^{\prime}$ (2) is equal to. a. 1 b. $1 / 3$ c. $1 / 2$ d. $1 / e$
1
Did Leonardo da Vinci have any successor?
0
How do I write college essays faster?
0
11 A die is weighted such that the probability of rolling the face numbered $n$ is proportional to $n^{2}(n=1,2,3,4,5,6)$. The die is rolled twice, yielding the numbers $a$ and $b$. The probability that $a<b$ is $p$, then the value of $[2 / p]$ is, where $[$.$] represents$ the greatest integer function.
1
What are you doing to enjoy life?
0
What did James believe emotion was synonymous with?
0
- Name the parent chain in the each of the following compounds. ![](https://cdn.mathpix.com/cropped/2024_07_29_90dbbc6c1b947b050cb5g-112.jpg?top_left_x=407&top_left_y=613&width=248&height=161) Parent: ![](https://cdn.mathpix.com/cropped/2024_07_29_90dbbc6c1b947b050cb5g-112.jpg?height=256&width=407&top_left_y=848&top...
1
76. Total number of integral values of ' $a$ ' so that $x^{2}-(a+1) x+a$ $-1=0$ has integral roots is equal to a. 1 b. 2 c. 4 d. none of these
1
What is the best line said by your X?
0
6. A circuit element shown in the figure as a box is having either a capacitor or an inductor. The power factor of the circuit is 0.8 , while current lags behind the voltage. Find ![](https://cdn.mathpix.com/cropped/2024_06_12_88c1c8d683adf388794bg-616.jpg?height=295&width=317&top_left_y=1320&top_left_x=813) (a) the ...
1
How can I pay a credit card with a gift card?
0
11. A square loop of side ' $a$ ' is placed in $x y$-plane as shown in figure. In this region there is non-uniform time dependent magnetic field $\vec{B}=\left(c y^{3} t^{2}\right) \hat{k}$, where $t$ is time and $c$ is constant, then magnitude of emf induced in loop is: (a) $\frac{c a^{5} t}{2}$ (b) $\frac{c a^{4} t^{...
1
Myelin is what color in the brain?
0
The Great Depression helped which countries' governments become more militaristic?
0
8. Discuss the continuity of $f(x)=\left\{\begin{array}{cc}x^{2}, & x \text { is rational } \\ -x^{2}, & x \text { is irrational. }\end{array}\right.$
1
7. The standard reduction potentials at 298 K for the following half-reactions are given against each. $$ \begin{aligned} \mathrm{Zn}^{2+}(\mathrm{aq})+2 \mathrm{e} & =\mathrm{Zn}(\mathrm{~s}) ;-0.762 \mathrm{~V} \\ \mathrm{Cr}^{3+}(\mathrm{aq})+3 \mathrm{e} & =\mathrm{Cr}(\mathrm{~s}) ;-0.74 \mathrm{~V} \\ 2 \mathrm{...
1
On what date did the constitution of India become active?
0
2. Consider the triangle formed by the lines $$ y+3 x+2=0,3 y-2 x-5=0,4 y+x-14=0 $$ | Column I | Column II | | :---: | :---: | | a. Values of $\alpha$ if $(0, \alpha)$ lies <br> inside triangle | p. $(-\infty, 7 / 3) \cup(13 / 4, \infty)$ | | b. Values of $\alpha$ if $(\alpha, 0)$ lies <br> inside triangle | q. $-4 /...
1
Would LeBron be the best quarterback in the NFL?
0
22. If $n=p$, then the order of the matrix $7 \mathrm{X}-5 \mathrm{Z}$ is: (A) $p \times 2$ (B) $2 \times n$ (C) $n \times 3$ (D) $p \times n$
1
What does a good life mean to you?
0
* 13 SSM The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of 300 m the field has magnitude $60.0 \mathrm{~N} / \mathrm{C}$; at an altitude of 200 m , the magnitude is 100 N/C. Find the net amount of charge contained in a cube 100 m on edge, with horizontal faces a...
1
54. The equilibrium : $$ \mathrm{SO}_{2} \mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g}) $$ is attained at $25^{\circ} \mathrm{C}$ in a closed container and an inert gas, helium is introduced. Which of the following statements are correct? (a) Concentration...
1
Was Obama one of the worst USA presidents?
0
25. If one root is square of the other root of the equation $x^{2}+p x+q=0$, then the relation between $p$ and $q$ is (a) $p^{3}-q(3 p-1)+q^{2}=0$ (2004, 1M) (b) $p^{3}-q(3 p+1)+q^{2}=0$ (c) $p^{3}+q(3 p-1)+q^{2}=0$ (d) $p^{3}+q(3 p+1)+q^{2}=0$
1
12. Electrons with de-Broglie wavelength $\lambda$ fall on the target in an X-ray tube. The cut-off wavelength of the emitted $\mathrm{X}$-rays is (a) $\lambda_{0}=\frac{2 m c \lambda^{2}}{h}$ (b) $\lambda_{0}=\frac{2 h}{m c}$ (c) $\lambda_{0}=\frac{2 m^{2} c^{2} \lambda^{3}}{h^{2}}$ (d) $\lambda_{0}=\lambda$
1
28. Which of the following thermodynamic variables is extensive? (a) Pressure (b) Density (c) Temperature (d) Mass
1
42. Which compound does not dissolve in hot, dilute $\mathrm{HNO}_{3}$ ? (a) $\mathrm{HgS}$ (b) $\mathrm{PbS}$ (c) $\mathrm{CuS}$ (d) $\mathrm{CdS}$
1
What is CAP?
0
Who wrote Gulzar-e-Mahlaqa?
0
3.359. In the inertial reference frame $K$ there is a uniform magnetic field with induction B. Find the electric field strength in the frame $K^{\prime}$ which moves relative to the frame $K$ with a non-relativistic velocity $\mathbf{v}$, with $\mathbf{v} \perp \mathbf{B}$. To solve this problem, consider the forces ac...
1
Why do so many disgruntled party loyalists (always vote Democrat or always vote Republican) like to call themselves Independents?
0
I wish to open a petrol pump, but I have been told that the minimum area required is 1000 sq ft, is that true?
0
From where can I get ‘God created the integers’ by Stephen Hawking?
0
Along with institutions, this type of corruption can discredit what?
0
37. One of the general solutions of $4 \sin ^{4} x+\cos ^{4} x=1$ is a. $n \pi \pm \alpha / 2, \alpha=\cos ^{-1}(1 / 5), \forall n \in Z$ b $n \pi \pm \alpha / 2, \alpha=\cos ^{-1}(3 / 5), \quad \forall n \in Z$ c. $2 n \pi \pm \alpha / 2, \alpha=\cos ^{-1}(1 / 3), \forall n \in Z$ d none of these
1
10. In YDSE if a slab whose refractive index can be varied is placed in front of one of the slits . Then, the variation of resultant intensity at mid-point of screen with $\mu$ will be best represented by ( $\mu$ is greater than or equal to 1 ) (a) ![](https://cdn.mathpix.com/cropped/2024_06_14_261784541b5e0ce049e6g-2...
1
8. If $a \neq p, b \neq a, c \neq r$ and $\left|\begin{array}{lll}p & b & c \\ a & q & c \\ a & b & r\end{array}\right|=0$, then find the value of $\frac{p}{p-a}+\frac{q}{q-b}+\frac{r}{r-c}$. (IIT-JEE, 1991)
1
Does physics tell us to study the laws of nature or do just Muslims believe that?
0
56. An ideal gas undergoes a cyclic process as shown in figure. ![](https://cdn.mathpix.com/cropped/2024_11_12_b980223a160630c93b68g-490.jpg?height=229&width=277&top_left_y=220&top_left_x=510) $$ \begin{aligned} & \Delta U_{\mathrm{BC}}=-5 \mathrm{~kJ} \mathrm{~mol}^{-1}, q_{\mathrm{AB}}=2 \mathrm{~kJ} \mathrm{~mol}^{...
1
How is the weather in Madrid, Spain during June and July?
0
9. Let a vertical tower $A B$ have its end $A$ on the level ground. Let $C$ be the mid-point of $A B$ and $P$ be a point on the ground such that $A P=2 A B$. If $\angle B P C=\beta$, then $\tan \beta$ is equal to (2017 Main) (a) $\frac{6}{7}$ (b) $\frac{1}{4}$ (c) $\frac{2}{9}$ (d) $\frac{4}{9}$
1
Ex. 37. A certain weak acid has a dissociation constant of $1 \times 10^{-4}$. The equilibrium constant for its reaction with a strong base is (a) $1 \times 10^{-1}$ (b) $1 \times 10^{-10}$ (c) $1 \times 10^{10}$ (d) $1 \times 10^{14}$
1
21. The term independent of $a$ in the expansion of $\left(1+\sqrt{a}+\frac{1}{\sqrt{a}-1}\right)^{-30}$ is a. ${ }^{30} C_{20}$ b. 0 c. ${ }^{30} C_{10}$ d. none of these
1
8. Two concentric spheres of radii $R$ and $2 R$ are charged. The inner sphere has a charge of $1 \mu \mathrm{C}$ and the outer sphere has a charge of $2 \mu \mathrm{C}$ of the same sign. The potential is $9000 \mathrm{~V}$ at a distance $3 R$ from the common centre. The value of $R$ is (a) $1 \mathrm{~m}$ (b) $2 \math...
1
12. Permanent hardness in water cannot be cured by : (a) Treatment with washing soda (b) Boiling (c) Calgon's method (d) Ion exchange method
1
10. The value of $\left(1-a_{1}\right)\left(1-a_{2}\right) \ldots\left(1-a_{n-1}\right)$ is a. $n^{2} / 2$ b. $n$ c. $(-1)^{n} n$ d. None of these
1
How can I delete a picture that was save on Snapchat messages?
0
How will the divide in a series circuit when the resistance units have equal resistances?
0
What is the best advice you have ever been given?
0
10. Two adjacent sides of a parallelogram $A B C D$ are $2 \hat{i}+4 \hat{j}-5 \hat{k}$ and $\hat{i}+2 \hat{j}+3 \hat{k}$. Then the value of $|\overrightarrow{A C} \times \overrightarrow{B D}|$ is a. $20 \sqrt{5}$ b. $22 \sqrt{5}$ c. $24 \sqrt{5}$ d. $26 \sqrt{5}$
1
12. The value of the integral $\int_{-2}^{2} \frac{\sin ^{2} x}{\frac{x}{\pi}+\frac{1}{2}} d x$ (where, $[x]$ denotes the greatest integer less than or equal to $x$ ) is (a) $4-\sin 4$ (b) 4 (c) $\sin 4$ (d) 0
1
8. What is the IUPAC name for the following compound? ![](https://cdn.mathpix.com/cropped/2024_07_29_90dbbc6c1b947b050cb5g-118.jpg?top_left_x=775&top_left_y=2358&width=461&height=201) (A) 3-hydroxy-4-aminopentanamide (B) 4-amino-3-hydroxypentanamide (C) 4-amino-3-hydroxy-4-methylbutanamide (D) 3-hydroxy-4-amino-4-...
1
14. $\int \frac{d x}{x+x \log x}$
1
3. During a nuclear fusion reaction, (JEE 1987) (a) a heavy nucleus breaks into two fragments by itself (b) a light nucleus bombarded by thermal neutrons breaks up (c) a heavy nucleus bombarded by thermal neutrons breaks up (d) two light nuclei combine to give a heavier nucleus and possibly other products
1
Do you pop a blister from a burn?
0
Who is the most overrated Bollywood actress?
0
52. The combustion of benzene $(\mathrm{l})$ gives $\mathrm{CO}_{2}(\mathrm{~g})$ and $\mathrm{H}_{2} \mathrm{O}(\mathrm{l})$. Given that heat of combustion of benzene at constant volume is $-3263.9 \mathrm{~kJ} \mathrm{~mol}^{-1}$ at $25^{\circ} \mathrm{C}$; heat of combustion in $\left(\mathrm{kJ} \mathrm{mol}^{-1}\r...
1
3 The value of acceleration due to gravity at earth's surface is $9.8 \mathrm{~ms}^{-2}$. The altitude above its surface at which the acceleration due to gravity decreases to $4.9 \mathrm{~ms}^{-2}$, is close to (Take, radius of earth $=6.4 \times 10^{6} \mathrm{~m}$ ) (a) $9.0 \times 10^{6} \mathrm{~m}$ (b) $2.6 \time...
1
The south could barely do what for their souldiers?
0
What is the geometrical definition of a curve with a volume?
0
68. A line is drawn perpendicular to line $y=5 x$, meeting the coordinate axes at $A$ and $B$. If the area of triangle $O A B$ is 10 sq. units where ' $O$ ' is the origin, then the equation of drawn line is a. $3 x-y-9$ b. $x-5 y=10$ c. $x+4 y=10$ d. $x-4 y=10$
1
What is the most interesting thing we learned about Germany's World Cup team in their match against Portugal?
0
Where can I find basic electrical engineering by dp kothari?
0
35. The product of acid hydrolysis of $P$ and $Q$ can be distinguished by ![](https://cdn.mathpix.com/cropped/2024_05_03_616bdce11c835394482dg-358.jpg?height=156&width=738&top_left_y=628&top_left_x=1617) (a) Lucas Reagent (b) 2,4-DNP (c) Fehling's Solution (d) $\mathrm{NaHSO}_{3}$
1
What are the factors affecting rates of us dollars?
0
Can I take a pill after its expiration date?
0
Who says the that whether there is or isn't a God are just like questions in natural science?
0
Why is Google replacing Nexus with Pixel?
0
What is the function of parathyroid gland?
0
What group wanted to use violent means to over throw the British rule?
0
Who will win in the upcoming West Bengal assembly election? Is there any chance that it will be the BJP?
0
5. Which of the following quantities remain constant during projectile motion? (a) Average velocity between two points (b) Average speed between two points (c) $\frac{d \mathbf{v}}{d t}$ (d) $\frac{d^{2} \mathbf{v}}{d t^{2}}$
1
What are some of the best movies about dreams?
0