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72. Which of the following are examples of aldol condensation?
(a) $2 \mathrm{CH}_{3} \mathrm{CHO} \xrightarrow{\text { dil. } \mathrm{NaOH}} \mathrm{CH}_{3} \mathrm{CHOHCH}_{2} \mathrm{CHO}$
(b) $2 \mathrm{CH}_{3} \mathrm{COCH}_{3} \xrightarrow{\text { dil. } \mathrm{NaOH}}$ $\mathrm{CH}_{3} \mathrm{COH}\left(\mat... | 1 |
What can scientifically be considered the main factors in somebodys sexual orientation? | 0 |
31. A substance $\mathrm{A}_{\mathrm{x}} \mathrm{B}_{\mathrm{y}}$ crystallizes in an f.c.c. lattice in which atoms of ' A ' occupy each corner of the cube and atoms of ' B ' occupy the centres of each face of the cube. Identify the correct composition of the substance $\mathrm{A}_{\mathrm{x}} \mathrm{B}_{\mathrm{y}}$.
... | 1 |
46. Consider the system of lincar equations in $x, y$ and $z$ :
$$
\begin{aligned}
& (\sin 3 \theta) x-y+z=0 \\
& (\cos 2 \theta) x+4 y+3 z=0 \\
& 2 x+7 y+7 z=0
\end{aligned}
$$
then which of the following can be the values of $\theta$ for which the system has a non-trivial solution
a. $n \pi+(-1)^{n} \pi / 6, \foral... | 1 |
14. The compound that is NOT a common component of photochemical smog is :
(a) $\mathrm{O}_{3}$
(b) $\mathrm{H}_{3} \mathrm{C}-\stackrel{\mathrm{C}}{\mathrm{O}}-\mathrm{OONO}_{2}$
(c) $\mathrm{CH}_{2}=\mathrm{CHCHO}$
(d) $\mathrm{CF}_{2} \mathrm{Cl}_{2}$ | 1 |
8. Two rectangular blocks, having indentical dimensions, can be arranged either in configuration I or in configuration II as shown in the figure. One of the blocks has thermal conductivity $K$ and the other $2 K$.
The temperature difference between the ends along the $X$-axis is the same in both the configurations. It... | 1 |
Who defeated Jayapala and required an indemnity payment? | 0 |
When did super heroes become popular again in comic books? | 0 |
Is America heading towards another revolution or civil war? | 0 |
57. An ideal gas in thermally insulated vessel at internal pressure $p_{1}$, volume, $V_{1}$ and absolute temperature $T_{1}$ expands irreversibly against zero external pressure as shown in the diagram.
 1-Bromo-4-sec-butyl-2-methylbenzene | 1 |
Why can't I fall in love with someone? Why I don't feel love, hate, pain or happiness? Why am I always even? | 0 |
What Platonic idea lost influence as a result of the work of Ockham and Duns Scotus? | 0 |
6. The number of solutions of the equation $\sin \left(e^{x}\right)=5^{x}+5^{-x}$ is
(1991, 2M)
(a) 0
(b) 1
(c) 2
(d) infinitely many | 1 |
What are the features of the iPhone 6? | 0 |
What militaristic leader restored might to the Kalinga empire? | 0 |
How many days does it take to get a fresh passport in India? | 0 |
10. Which of the following compounds is not an antacid ?
(a) Phenelzine
(b) Ranitidine
(c) Aluminium hydroxide
(d) Cimetidine | 1 |
12. Equal torques act on the $\operatorname{discs} A$ and $B$ of the previous problem, initially both being at rest. At a later instant, the linear speeds of a point on the $\operatorname{rim}$ of $A$ and another point on the rim of $B$ are $v_A$ and $v_B$ respectively. We have
(a) $v_A>v_B$
(b) $v_A=v_B$
(c) $v_A<v_B$... | 1 |
Which is the best coaching institute for history optional in delhi? | 0 |
43. Maximum sum of coefficient in the expansion of $\left(1-x \sin \theta+x^{2}\right)^{n}$ is
a. 1
b. $2^{n}$
c. $3^{n}$
d. 0 | 1 |
How do I avoid overthinking about lonliness? | 0 |
9. For a moving particle, which of the following options may be correct?
(a) $\left|\mathbf{V}_{\mathrm{av}}\right|<v_{\mathrm{av}}$
(b) $\left|\mathbf{V}_{\mathrm{av}}\right|>v_{\mathrm{av}}$
(c) $\mathbf{V}_{\mathrm{av}}=0$ but $v_{\mathrm{av}} \neq 0$
(d) $\mathbf{V}_{\mathrm{av}} \neq 0$ but $v_{\mathrm{av}}=0$
He... | 1 |
How do I prepare a good resume for IT jobs? | 0 |
18. Let $T>0$ be a fixed real number. Suppose $f$ is continuous function such that for all $x \in R, f(x+T)=f(x)$. If $I=\int_{0}^{T} f(x) d x$, then the value of $\int_{3}^{3+3 T} f(2 x) d x$ is
a. $3 / 2 I$
b. $2 I$
c. $3 I$
d. $6 I$ | 1 |
8. The isoelectronic set of ions is
(a) $\mathrm{N}^{3-}, \mathrm{O}^{2-}, \mathrm{F}^{-}$ and $\mathrm{Na}^{+}$
(b) $\mathrm{N}^{3-}, \mathrm{Li}^{+}, \mathrm{Mg}^{2+}$ and $\mathrm{O}^{2-}$
(c) $\mathrm{F}^{-}, \mathrm{Li}^{+}, \mathrm{Na}^{+}$ and $\mathrm{Mg}^{2+}$
(d) $\mathrm{Li}^{+}, \mathrm{Na}^{+}, \math... | 1 |
3. Three waves due to three coherent sources meet at one point. Their amplitudes are $\sqrt{2} A_{0}, 3 A_{0}$ and $\sqrt{2} A_{0}$. Intensity corresponding to $A_{0}$ is $I_{0}$. Phase difference between first and second is $45^{\circ}$. Path difference between first and third $\frac{\lambda}{4}$. In phase angle, firs... | 1 |
19. A galvanic cell is composed of two hydrogen electrodes, one of which is a standard one. In which of the following solutions should the other electrode be immersed to get maximum emf?
(a) 0.1 M HCl
(b) $0.1 \mathrm{M} \mathrm{CH}_{3} \mathrm{COOH}$
(c) $0.1 \mathrm{M} \mathrm{H}_{3} \mathrm{PO}_{4}$
(d) $0.1 \mathrm... | 1 |
25. For the reaction
$$
\mathrm{I}^{-}+\mathrm{ClO}_{3}^{-}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{Cl}^{-}+\mathrm{HSO}_{4}^{-}+\mathrm{I}_{2}
$$
The correct statement(s) in the balanced equation is/are
(a) Stoichiometric coefficient of $\mathrm{HSO}_{4}^{-}$is 6
(b) Iodide is oxidized
(c) Sulphur is... | 1 |
97. $\frac{\sin 2 A+\sin 2 B+\sin 2 C}{\sin A+\sin B+\sin C}$ is equal to
a. $8 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$
h $8 \cos \frac{A}{2} \cos \frac{B}{2} \cos \frac{C}{2}$
c. $8 \tan \frac{A}{2} \tan \frac{B}{2} \tan \frac{C}{2}$
d. $8 \cot \frac{A}{2} \cot \frac{B}{2} \cot \frac{C}{2}$ | 1 |
6.64. A particle of mass $m$ is located in a unidimensional square potential well with infinitely high walls. The width of the well is equal to 7 . Find the permitted values of energy of the particle taking into account that only those states of the particle's motion are realized for which the whole number of de Brogli... | 1 |
1.71. A pulley fixed to the ceiling of an elevator car carries a thread whose ends are attached to the loads of masses $m_{1}$ and $m_{2}$. The car starts going up with an acceleration $w_{0}$. Assuming the masses of the pulley and the thread, as well as the friction, to be negligible find:
(a) the acceleration of the... | 1 |
15. Let $P=\left[a_{i j}\right]$ be a $3 \times 3$ matrix and let $Q=\left[b_{i j}\right]$, where $b_{i j}=2^{i+j} a_{i j}$ for $1 \leq i, j \leq 3$. If the determinant of $P$ is 2 , then the determinant of the matrix $Q$ is (2012)
(a) $2^{10}$
(b) $2^{11}$
(c) $2^{12}$
(d) $2^{13}$ | 1 |
Can we use relay as circuit breaker? | 0 |
Why doesn't our government use plastic for making currency instead of destroying forests and wasting paper? | 0 |
1. Work done by a sample of an ideal gas in a process $A$ is double the work done in another process $B$. The temperature rises through the same amount in the two processes. If $C_{A}$ and $C_{B}$ be the molar heat capacities for the two processes,
(a) $C_{A}=C_{B}$
(c) $C_{A}>C_{B}$
(b) $C_{A}<C_{B}$
(d) $C_{A}$ and $... | 1 |
What is the difference between computer science engineering and information technology? What is better? | 0 |
5. A YDSE is conducted in water $\left(\mu_{1}\right)$ as shown in figure. A glass plate of thickness $t$ and refractive index $\mu_{2}$ is placed in the path of $S_{2}$. The optical path difference at $O$ is
(a) $\left(\mu_{2}-1\right) t$
(b) $\left(\mu_{1}-1\right) t$
(c) $\left(\frac{\mu_{2}}{\mu_{1}}-1\right) t$
(d... | 1 |
Which country attacked Hong Kong in 1941? | 0 |
1. The decreasing order of reactivity of the following organic molecules towards $\mathrm{AgNO}_{3}$ solution is :
$\mathrm{CH}_{3} \mathrm{CHCH}_{3}$
$\stackrel{\text { Cl }}{\text { C }}$
(C)
(a) (C) $>$ (D) $>$ ... | 1 |
27. A block of mass $m$ is projected towards a spring with velocity $v_{0}$. The force constant of the spring is $k$. The block is projected from a distance $\ell$ from the free end of the spring. The collision between block and the wall is completely elastic. Match the following columns :
 /(1-i)]^{n}=1$ is
a. $n=8$
b. $n=16$
c. $n=12$
d. none of these | 1 |
4. Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?
[Main Jan. 08, 2020 (II)]
(a) $\mathrm{AgBr}$
(b) $\mathrm{CsCl}$
(c) $\mathrm{KBr}$
(d) $\mathrm{ZnS}$ | 1 |
11.8 While separating a mixture of ortho and para nitrophenols by steam distillation, name the isomer which will be steam volatile. Give reason. | 1 |
Have you ever thought that God is making fun of you? | 0 |
What are some mind-blowing facts about food? | 0 |
7. Statement 1: $f(x)=x+\cos x$ is increasing for $\forall x \in R$.
Statement 2: If $f(x)$ is increasing, then $f^{\prime}(x)$ may vanish at some finite number of points. | 1 |
5. Statement 1: Number of circles passing through $(1,2)$, $(4,8)$ and $(0,0)$ is one.
Statement 2: Every triangle has one circumcircle. | 1 |
Is it a good idea to block all third party cookies? | 0 |
10. 
Correct relationship between above compounds :
(A) II and III are Geometrical isomers
(B) I and II are Metamers
(C) III and IV are Tautomers
(D) I and IV are Tautomers | 1 |
11. A space is filled up with a charge with volume density $\rho=\rho_{0} e^{-\alpha r^{3}}$, where $\rho_{0}$ and $\alpha$ are positive constants, $r$ is the distance from the centre of this system. Find the magnitude of the electric field strength vector as a function of $r$.
(a) $E=\frac{\rho_{0}}{3 \alpha r^{2} \ep... | 1 |
In some world states who did the people turn to? | 0 |
Which is largest internal organ in the body? | 0 |
What early social movement occurred during this time of awakening? | 0 |
What are the latest Off-Page Search Engine Optimization? | 0 |
43. The rectangular box shown in figure has a partition which can slide without friction along the length of the box.
Initially each of the two chambers of the box has one mole of a monoa... | 1 |
12. A $500-\mathrm{cc}$ bulb weighs 38.734 grams when evacuated and 39.3135 grams when filled with air at 1 atm pressure and $24^{\circ} \mathrm{C}$. Assuming that air behaves as an ideal gas at this pressure, calculate effective mass of 1 mole of air. | 1 |
16. A body of mass $m$ is dropped from a height of $h$. Simultaneously another body of mass $2 m$ is thrown up vertically with such a velocity $v$ that they collide at height $\frac{h}{2}$. If the collision is perfectly inelastic, the velocity of combined mass at the time of collision with the ground will be
(a) $\sqrt... | 1 |
What is your definition of a friend? | 0 |
How does Pascal Boyer believe that gods and other supernatural beings behave? | 0 |
6. The values of $K_{\mathrm{w}}$ in 0.1 M NaOH and 0.1 M NaCl are
(a) same
(b) different
(c) same only at $25^{\circ} \mathrm{C}$ | 1 |
22. What volume of air is needed for the combustion of 1 metre $^{3}$ of a gas having the following composition in percentage volume:
$50 \%$ of $\mathrm{H}_{2}, 35 \%$ of $\mathrm{CH}_{4}, 8 \%$ of $\mathrm{CO}, 2 \%$ of $\mathrm{C}_{2} \mathrm{H}_{4}$ and $5 \%$ of noncombustible admixture? The air contains $21 \... | 1 |
When was "The Adventures of Tintin" serialized? | 0 |
13. The following reaction occurs in the Blast Furnace where iron ore is reduced to iron metal :
$\mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{~s})+3 \mathrm{CO}(\mathrm{g}) \rightleftharpoons 2 \mathrm{Fe}(1)+3 \mathrm{CO}_{2}(\mathrm{~g})$
Using the Le Chatelier's principle, predict which one of the following will not ... | 1 |
Why did Punjab (including Pak Punjab) not become a country? | 0 |
3. The major product obtained in the following reaction is :
(a) $( \pm) \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}\left(\mathrm{O}^{\prime} \mathrm{Bu}\right) \mathrm{CH}_{2} \mathrm{C}_{... | 1 |
I am worried about my sister who seeks relationships with sociopaths. How can I advise her to make better choices? | 0 |
85. How many gram-mole of $\mathrm{HCl}$ will be required to prepare one litre of buffer solution (containing $\mathrm{NaCN}$ and $\mathrm{HCl}$ ) of $\mathrm{pH} 8.5$ using 0.01 gram
formula weight of $\mathrm{NaCN}$ ?
$K$ dissociation $(\mathrm{HCN})=4.1 \times 10^{-10}$. | 1 |
Would 1M NaOH react with pure Acetic Acid? | 0 |
How many calories do you burn climbing 125 stairs? | 0 |
30. If $S$ denotes the sum to infinity and $S_{n}$ the sum of $n$ terms of the series $1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\cdots$, such that $S-S_{n}<\frac{1}{1000}$, then the least value of $n$ is
a. 8
b. 9
c. 10
d. 11 . | 1 |
9. The area bounded by $C_{1}$ and $C_{2}$ is
a. $2 \pi-\sqrt{3}$ sq. units
c. $\pi+\sqrt{6}$ sq. units
d. $2 \sqrt{3}-\pi$ sq. units
h. $2 \pi+\sqrt{3}$ sq. units | 1 |
1. The separation between the plates of a charged parallel- plate capacitor is increased. The force between the plates
(a) increases
(b) decreases
(c) remains same
(d) first increases then decreases | 1 |
11. A hyperbola, having the transverse axis of length $2 \sin \theta$, is confocal with the ellipse $3 x^{2}+4 y^{2}=12$. Then, its equation is
$(2007,3$ M)
(a) $x^{2} \operatorname{cosec}^{2} \theta-y^{2} \sec ^{2} \theta=1$
(b) $x^{2} \sec ^{2} \theta-y^{2} \operatorname{cosec}^{2} \theta=1$
(c) $x^{2} \sin ^{2} ... | 1 |
9. The value of $a_{0}+3 a_{1}+5 a_{2}+\cdots+81 a_{40}$ is
a. $161 \times 3^{20}$
b. $41 \times 3^{40}$
c. $41 \times 3^{20}$
d. none of these | 1 |
How is food aid usually directly redirected from the people it should go to? | 0 |
13. If $a, \frac{1}{b}, c$ and $\frac{1}{p}, q, \frac{1}{r}$ form two arithmetic progressions of the same common difference, then $a, q, c$ are in A.P. if
a. $p, b, r$ are in A.P.
b. $\frac{1}{p} ; \frac{1}{b}, \frac{1}{r}$ are in A.P.
c. $p, b, r$ are in G.P.
d. none of these | 1 |
2. The radius of curvature of common surface is
(a) $48 \mathrm{~cm}$
(b) $24 \mathrm{~cm}$
(c) $12 \mathrm{~cm}$
(d) $8 \mathrm{~cm}$ | 1 |
Is it possible to integrate all the chat functions like Facebook Messenger, WhatsApp, Line, iMessage, etc. on your phone into a single app? | 0 |
3. A particle that hangs from a spring oscillates with an angular frequency of $2 \mathrm{rad} / \mathrm{s}$. The spring particle system is suspended from the ceiling of an elevator car and hangs motionless (relative to the elevator car) as the car descends at a constant speed of $1.5 \mathrm{~m} / \mathrm{s}$. The car... | 1 |
Example 3.87 Find the sum of the following series to $n$ terms $5+7+13+31+85+\cdots$. | 1 |
In what year did the Church condemn witches? | 0 |
How do you start an airport business? | 0 |
How do I install and start up C programming language? | 0 |
What universities does Juno Therapeutics recruit new grads from? What majors are they looking for? | 0 |
13. The graph of the quadratic trinomial $y=a x^{2}+b x+c$ has its vertex at $(4,-5)$ and two $x$-intercepts one positive and one negative. Which of the following holds good?
a. $a>0$
b. $b<0$
c. $c<0$
d. $8 a=b$ | 1 |
- Example 25.12 Find the charges on the three capacitors shown in figure.
Fig. 25.32 | 1 |
12. The sum of first three terms of a G.P. is $\frac{39}{10}$ and their product is 1 . Find the common ratio and the terms. | 1 |
What are some neurobion tablet uses? | 0 |
16.12 Name a substance which can be used as an antiseptic as well as disinfectant. | 1 |
Example 4.1 Find the derivative of $e^{\sqrt{x}}$ w.r.t. $x$ using the first principle. | 1 |
Who was Humphrey Gilbert's half-brother? | 0 |
6. A block is constrained to move along $x$-axis under a force $F=-2 x$. Here, $F$ is in newton and $x$ in metre. Find the work done by this force when the block is displaced from $x=2 \mathrm{~m}$ to $x=-4 \mathrm{~m}$. | 1 |
How do I start the preparation for civil service examination from ground zero? | 0 |
14.13 What are the common types of secondary structure of proteins? | 1 |
When was the Arab invasion repulsed? | 0 |
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