Question stringlengths 2 3k | label int64 0 1 |
|---|---|
Is 1 + 1 = 2 true in every possible universe? | 0 |
(a) What is the electric field at the midpoint $O$ of the line $A B$ joining the two charges? | 1 |
17. An unknown metal is found to have a specific gravity of 10.2 at $25^{\circ} \mathrm{C}$. It is found to crystallize in a body-centred cubic lattice with a unit cell edge length of $3.147 \AA$. Calculate the atomic weight. | 1 |
9. Block $A$ has no relative motion with respect to wedge fixed to the lift as shown in figure during motion-1 or motion-2. Then,
(a) work done by gravity on block $A$ in motion-2 is less than in motion-1
(b) work done by normal reaction on block $A$ in both the motions will be positive
(c) work done by force of fri... | 1 |
Are there any hedge funds in Berlin, Germany? | 0 |
What’re the good things about working for a big company? | 0 |
ISRO says the IRNSS satellites have a nominal life of 7 years, so what will happen after those 7 years? | 0 |
31. If $f(x)=x^{3}+7 x-1$, then $f(x)$ has a zero between $x=0$ and $x=1$. The theorem that best describes this is
a. Mean value theorem
b. Maximum-minimum value theorem
c. Intermediate value theorem
d None of these | 1 |
5. Parallel rays of light of intensity $I=912 \mathrm{Wm}^{-2}$ are incident on a spherical black body kept in surroundings of temperature $300 \quad$ K. Take Stefan constant $\sigma=5.7 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^{-4}$ and assume that the energy exchange with the surroundings is only through radiation... | 1 |
21. Let $f: R \rightarrow R$ be any function. Define $g: R \rightarrow R$ by $g(x)=|f(x)|, \forall \quad x$. Then, $g$ is
$(2000,2 \mathrm{M})$
(a) onto if $f$ is onto
(b) one-one if $f$ is one-one
(c) continuous if $f$ is continuous
(d) differentiable if $f$ is differentiable | 1 |
23. 1 g of dry green algae absorbs $4.7 \times 10^{-3}$ mole of $\mathrm{CO}_{2}$ per hour by photosynthesis. If the fixed carbon atoms were all stored after photosynthesis as starch, $\left(\mathrm{C}_{6} \mathrm{H}_{10} \mathrm{O}_{5}\right)_{n}$, how long would it take for the algae to double their own weight assumi... | 1 |
What are the different password encryption methods? | 0 |
When were the styles of arts created? | 0 |
In what year did the First Crusade take Jerusalem? | 0 |
10. For all $x \in(0,1)$
a. $e^{x}<1+x$
b. $\log _{e}(1+x)<x$
c. $\sin x>x$
d. $\log _{e} x>x$ | 1 |
43. If $z_{1}$ is a root of the equation $a_{0} z^{n}+a_{1} z^{n-1}+\cdots+a_{n-1} z+a_{n}=3$, where $\left|a_{i}\right|<2$ for $i=0,1, \ldots, n$. Then
a. $\left|z_{1}\right|>\frac{1}{3}$
b. $\left|z_{1}\right|<\frac{1}{4}$
c. $\left|z_{1}\right|>\frac{1}{4}$
d. $|z|<\frac{1}{3}$ | 1 |
29. A converging lens is used to form an image on a screen. When the upper half of the lens is covered by an opaque screen
(a) half of the image will disappear
(b) complete image will be formed
(c) intensity of the image will increase
(d) intensity of the image will decrease | 1 |
2. $f(x)$ is a continuous and bijective function on $R$. If $\forall t \in R$, then the area bounded by $y=f(x), x=a-t, x=a$ and the $x$-axis is equal to the area bounded by $y=f(x), x=a+f_{y}$ $x=a$ and the $x$-axis. Then prove that $\int_{-\lambda}^{\lambda} f^{-1}(x) d x=2 a \lambda$ (given that $f(a)=0$ ). | 1 |
How can one track whether sent email was read? | 0 |
What are the most annoying types of questions on Quora? | 0 |
Will there be a Metal Gear Solid 6? | 0 |
What owes its development to the Classical orders? | 0 |
10. The $x-y$ plane is rotated about its line of intersection with the $y-z$ plane by $45^{\circ}$, then the equation of the new plane is/are
a. $z+x=0$
b. $z-y=0$
c. $x+y+z=0$
d. $z-x=0$ | 1 |
Why are there so many questions on Quora about Pianos? | 0 |
(iv) $\mathrm{H}_3 \mathrm{BO}_3 \xrightarrow{\Delta}$ | 1 |
How does one find a threesome? | 0 |
How do start a business with Ola and Uber in Mumbai? | 0 |
What peak is at the southwestern part of the Aravalli Range? | 0 |
Example 2.72 If $\omega$ is a cube root of unity, then find the value of the following:
(i) $\left(1+\omega-\omega^{2}\right)\left(1-\omega+\omega^{2}\right)$
(ii) $(1-\omega)\left(1-\omega^{2}\right)\left(1-\omega^{4}\right)\left(1-\omega^{8}\right)$
(iii) $\frac{a+b \omega+c \omega^{2}}{b+c \omega+a \omega^{2}}+\f... | 1 |
I have got a 800 on my Math level 2 and 780 on the Physics SAT Subject Test. Are these good for admission in Ivy Leagues, MIT and other such schools? | 0 |
How do you wash a pillow in a washing machine? | 0 |
What are the best anime movies to watch? | 0 |
12. If the principal quantum number $n=6$, the correct sequence of filling of electrons will be :
(a) $n s \rightarrow(n-2) f \rightarrow n p \rightarrow(n-1) d$
(b) $n s \rightarrow(n-2) f \rightarrow(n-1) d \rightarrow n p$
(c) $n s \rightarrow n p \rightarrow(n-1) d \rightarrow(n-2) f$
(d) $n s \rightarrow(n-1... | 1 |
37. An aqueous solution contains $10 \%$ by weight of urea ( $60 \cdot 00$ ) and $5 \%$ by weight of glucose (180.00). What will be its freezing point? $K_{f}$ for water is $1.86 . \quad\left(-4 \cdot 254^{\circ} \mathrm{C}\right)$ | 1 |
Chinese think Australian football? | 0 |
21. Equal weights of methane and hydrogen are mixed in an empty container at $25^{\circ} \mathrm{C}$. The fraction of the total pressure exerted by hydrogen is
(a) $1 / 2$
(b) $8 / 9$
(c) $1 / 9$
(d) $16 / 17$ | 1 |
How and Why did Donald Trump win the election? | 0 |
What are the best low-spec games on Steam? | 0 |
What other name does the KInsey scale go by? | 0 |
What would happen if IS attacks India? | 0 |
Why is Autism harder to notice in females? | 0 |
What does it mean when you have no icons at all after a message you've sent via Facebook Messenger? | 0 |
What was the first step Bowers took in editing a single work with two versions? | 0 |
16. The function $f(x)=\frac{\sec ^{-1} x}{\sqrt{x-[x]}}$, where $[x]$ denotes the greatest integer less than or equal to $x$, is defined for all $x \in$
$$
\begin{aligned}
& \text { a. } R \\
& \text { c. } R^{+}-(0,1)
\end{aligned}
$$
$$
\text { b. } R-\{(-1,1) \cup\{n \mid n \in Z\}\}
$$
d. $R^{+}-\{n \mid n \in ... | 1 |
SCHEME/PATTERN
Which flask contains the 4-methyl benzoic acid?
(A) 1
(B) 2
(C) 3
(D) 4 | 1 |
Why can't I lose weight? | 0 |
24. If $a, b, c$ are consecutive positive integers and $\log (1+a c)=2 K$, then the value of $K$ is
a. $\log b$
b. $\log a$
c. 2
d. 1 | 1 |
12. Two wires $A$ and $B$, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young modulus of the wires are $Y_A$ and $Y_B$ whereas the densities are $\rho_A$ and $\rho_B$. It is given that $Y_A>Y_B$ and $\rho_A>\rho_B$. A transverse signal started at one ... | 1 |
- Example 24.28 A non-conducting ring of radius $0.5 \mathrm{~m}$ carries a total charge of $1.11 \times 10^{-10} \mathrm{C}$ distributed non-uniformly on its circumference producing an electric field $E$ everywhere in space. The value of the integral $\int_{l=\infty}^{l=0}-\mathbf{E} \cdot d \mathbf{l}$ ( $l=0$ being ... | 1 |
What is the foreign policy of the United States towards India be if Hillary Clinton were elected its president? | 0 |
34. If $f(x)=x^{5}-5 x^{4}+5 x^{3}-10$ has local maximum and minimum at $x=p$ and $x=q$, respectively, then $(p, q)=$
a. $(0,1)$
b. $(1,3)$
c. $(1,0)$
d. None of these | 1 |
What is the differentiation process driven by? | 0 |
26. If 0.5 mole of $\mathrm{BaCl}_{2}$ is mixed with 0.2 mole of $\mathrm{Na}_{3} \mathrm{PO}_{4}$, the maximum number of mole of $\mathrm{Ba}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ that can be formed is
(a) 0.7
(b) 0.5
(c) 0.30
(d) $0 \cdot 1$ | 1 |
8. In a large building, there are 15 bulbs of $40 \mathrm{~W}, 5$ bulbs of $100 \mathrm{~W}, 5$ fans of $80 \mathrm{~W}$ and 1 heater of $1 \mathrm{~kW}$. The voltage of the electric mains is $220 \mathrm{~V}$. The minimum capacity of the main fuse of the building will be
(a) $8 \mathrm{~A}$
(b) $10 \mathrm{~A}$
(c) $1... | 1 |
I'm running a take away food joint since 2 years, wanto get it registered now. What r the statutory requirements? How long will it take to get licence | 0 |
9. The IUPAC name of the following compound is :
(a) 1,1-dimethyl-2-ethylcyclohexane
(b) 2-ethyl-1,1-dimethylcyclohexane
(c) 1-ethyl-2,2-dimethylcyclohexane
(d) 2, 2-dimethyl-1-ethylcyclohexane | 1 |
17. Each division on the main scale is $1 \mathrm{~mm}$. Which of the following vernier scales give vernier constant equal to $0.01 \mathrm{~mm}$ ?
(a) $9 \mathrm{~mm}$ divided into 10 divisions
(b) $90 \mathrm{~mm}$ divided into 100 divisions
(c) $99 \mathrm{~mm}$ divided into 100 divisions
(d) $9 \mathrm{~mm}$ divide... | 1 |
1. The equation $\left|\sqrt{x^{2}+(y-1)^{2}}-\sqrt{x^{2}+(y+1)^{2}}\right|=K$ will represent a hyperbola for
a. $K \in(0,2)$
b. $K \in(-2,1)$
c. $K \in(1, \infty)$
d. $K \in(0, \infty)$ | 1 |
22. Which of the following statements concerning a pair of geometrical isomers are correct ?
(1) They have different boiling points and melting points.
(2) They have the same relative molecular mass
(3) Their atoms are joined in the same order.
(A) (1) and (2) only
(B) (1) and (3) only
(C) (2) and (3) only
(D) (... | 1 |
(i) The set of lines which are parallel to the $x$-axis | 1 |
2. An upright object is placed at a distance of $40 \mathrm{~cm}$ in front of a convergent lens of focal length $20 \mathrm{~cm}$. A convergent mirror of focal length $10 \mathrm{~cm}$ is placed at a distance of $60 \mathrm{~cm}$ on the other side of the lens. The position and size of the final image will be
(a) $20... | 1 |
What is unusual or different about the food and cuisine in Russia? | 0 |
43. Among the following the state function(s) is (are)
(a) Internal energy
(b) Irreversible expansion work
(c) Reversible expansion work
(d) Molar enthalpy | 1 |
12. Area of the parallelogram formed by the lines $y=m x$, $y=m x+1, y=n x$ and $y=n x+1$ equals
a. $|m+n| /(m-n)^{2}$
b. $2 /|m+n|$
c. $1 /(|m+n|)$
d. $1 /(|m-n|)$ | 1 |
What is the best book for learning Python easily? | 0 |
How can I maintain good posture? | 0 |
How would you argue that happiness is not the ultimate aim of moral philosophy? According to kant what is the goal of morality and why? | 0 |
37. Which of the following statement(s) is (are) correct when a mixture of $\mathrm{NaCl}$ and $\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}$ is gently warmed with conc. $\mathrm{H}_{2} \mathrm{SO}_{4}$ ?
(a) A deep red vapour is evolved
(b) The vapours when passed into $\mathrm{NaOH}$ solution gives a yellow solu... | 1 |
I want to work on my Charisma to learn how to really spark conversations with everyone what are some tips and books to read? | 0 |
What if I change my phone's imei number? | 0 |
(b) the rms potential differences across the capacitor, the resistor and the inductor. Note that the sum of the rms potential differences across the three elements is greater than the rms voltage of the source. | 1 |
What does the book "Hide" by Lisa Gardner symbolize? | 0 |
12. If $f(x)=\min \left\{1, x^{2}, x^{3}\right\}$, then
a. $f(x)$ is continuous $\forall x \in R$
b. $f^{\prime}(x)>0, \forall x>1$
c. $f(x)$ is continuous but not differentiable $\forall x \in R$
d. $f(x)$ is not differentiable at two points | 1 |
With X-Plane 11 announced and me wanting to get in to civilian flightsiming. should I invest my time and money in FSX or X-Plane? | 0 |
How could science discover if there was not a creator? | 0 |
5.177. A narrow beam of na-
tural light with wavelength $\lambda=$ $=589 \mathrm{~nm}$ falls normally on the surface of a Wollaston polarizing prism made of Iceland spar as shown in Fig. 5... | 1 |
How does one overcome depression and anxiety? | 0 |
Why do some people get acne when they eat too much nuts? | 0 |
On Snapchat, if I remove someone as a friend, can they still see the last message I sent them? | 0 |
Which empire was the largest in history, at its height? | 0 |
Problem 2.7 A 100 watt bulb emits monochromatic light of wavelength 400 nm . Calculate the number of photons emitted per second by the bulb. | 1 |
Why can't India manufacture its own advanced weapons rather than importing? | 0 |
Amnesty or Blue cross, PETA, which one is needed for the world now? | 0 |
What is the northern region of Canada known for? | 0 |
How many passengers use the Hyderabad light rail system each day? | 0 |
- Example 35.4 In an n-type silicon, which of the following statements is true?
(a) Electrons are majority carriers and trivalent atoms are the dopants.
(b) Electrons are minority carriers and pentavalent atoms are the dopants.
(c) Holes are minority carriers and pentavalent atoms are the dopants.
(d) Holes are maj... | 1 |
36. Write the cell reaction and calculate the potential of the cell, $\mathrm{Cl}_{2}(p=0.9 \mathrm{~atm}) \mid \mathrm{NaCl}$ solution $\mid \mathrm{Cl}_{2}(p=0.1 \mathrm{~atm})$.
Will the cell reaction be spontaneous as written? | 1 |
What did the Satavahanas issue embossed with their king's head? | 0 |
What is the life after b.tech? | 0 |
18. The radius of cross section of a long pipe varies gradually as $r=r_{0} e^{-\alpha \mathrm{x}}$, where $x$ is the distance from the pipe inlet and $a=0.4 \mathrm{~m}^{-1}$ is a constant. Then the ratio of Reynolds number for the cross sections separated by a distance 8.0 m is :
(a) 24.5
(b) 28.5
(c) 2.45
(d) 2.85 | 1 |
Example 5.34 Find the approximate value of $\sqrt{36.6}$. | 1 |
Why is National Honor Society important to me? | 0 |
41. An unbiased coin is tossed $n$ times. If the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then $n=$
a. 7
b. 14
c. 16
d. 19 | 1 |
66 Block 1, with mass $m_{1}$ and speed $4.0 \mathrm{~m} / \mathrm{s}$, slides along an $x$ axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2 , with mass $m_{2}=0.40 m_{1}$. The two blocks then slide into a region where the coefficient of kinetic
friction is 0.... | 1 |
What was the magnitude of the earthquake that affected New Delhi on September 2011? | 0 |
Example 2.17 Which of the following is least?
a. $\sin 3$
h $\sin 2$
c. $\sin 1$
d. $\sin 7$ | 1 |
How do I earn money from the Internet? | 0 |
What happens to the food that is cooked by chefs on food channels (once the show is over and they have displayed the dish they made)? | 0 |
How can I put startup company on my resume? | 0 |
What was the painting on the wall in Lex Luthor's house in Batman v Superman: Dawn of Justice? | 0 |
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