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Ex. 29. Three different brands of 'liquid chlorine' are available in the market for use in purifying water of swimming pools. All are sold at the same rate of Rs 10 per litre and all are water solutions. Brand A contains 10\% hypochlorite (ClO) (wt./vol.), brand B contains 7\% available chlorine $(\mathrm{Cl})$ and bra... | 1 |
16. The value of $\frac{d I}{d a}$ when $I=\int_{0}^{\pi / 2} \log \left(\frac{1+a \sin x}{1-a \sin x}\right) \frac{d x}{\sin x}$ (where $|a|<1$ ) is
a. $\frac{\pi}{\sqrt{1-a^{2}}}$
b. $-\pi \sqrt{1-a^{2}}$
c. $\sqrt{1-a^{2}}$
d. $\frac{\sqrt{1-a^{2}}}{\pi}$ | 1 |
34. The logical statement
$$
[\sim(\sim p \vee q) \vee(p \wedge r)] \wedge(\sim q \wedge r)
$$
is equivalent to
(a) $\sim p \vee r$
(b) $(p \wedge \sim q) \vee r$
(c) $(p \wedge r) \wedge \sim q$
(d) $(\sim p \wedge \sim q) \wedge r$ | 1 |
If I miss my vein while shooting meth and it goes into the skin should I draw it back out? | 0 |
Do ghosts really exist? | 0 |
12. The number of arbitrary constants in the particular solution of a differential equation of third order are:
(A) 3
(B) 2
(C) 1
(D) 0 | 1 |
What Islamic state controlled southern Iberia until 1031? | 0 |
80. Normals $A O, A A_{1}, A A_{2}$ are drawn to parabola $y^{2}=8 x$ from the point $A(h, 0)$. If triangle $O A_{1} A_{2}$ is equilateral, then possible values of ' $h$ ' is
a. 26
b. 24
c. 28
d. none of these | 1 |
6. A problem in mathematics is given to three students $A, B, C$ and their respective probability of solving the problem is $1 / 2$, $1 / 3$ and $1 / 4$. Probability that the problem is solved is
a. $3 / 4$
b. $1 / 2$
c. $2 / 3$
d. $1 / 3$ | 1 |
Chrome was displaying webpages incorrectly so I searched how to fix that and was told to clear my browsing cache and data. Why exactly did that work? | 0 |
What is an example of a voluntary intent of a message related to nonverbal communication? | 0 |
1. Consider the following reactions:
'A $_{\left(\mathrm{C}_{7} \mathrm{H}_{14}\right)}^{\text {ozonolysis }}{ }^{\prime} \mathrm{B}$ ' $+{ }^{\prime} \mathrm{C}$ '
'B' $\xrightarrow[\Delta]{\substack{\Delta \\ \mathrm{Ag}_{2} \mathrm{O}}}$ silver mirror
 \sqrt{\left(x-x^{2}\right)}}$ is equal to
a. $\frac{1+\sqrt{x}}{(1-x)^{2}}+c$
b. $\frac{1+\sqrt{x}}{(1+x)^{2}}+c$
c. $\frac{1-\sqrt{x}}{(1-x)^{2}}+c$
d. $\frac{2(\sqrt{x}-1)}{\sqrt{(1-x)}}+c$ | 1 |
What are some of the best ways to get extra white teeth? | 0 |
67. Figure 5-58 shows three blocks attached by cords that loop over frictionless pulleys. Block $B$ lies on a frictionless table; the masses are $m_{A}=6.00 \mathrm{~kg}, m_{B}=8.00$ kg , and $m_{C}=10.0 \mathrm{~kg}$. When the blocks are released, what is the
 $\mathrm{O}_{3}$ and $\mathrm{P}_{4} \mathrm{O}_{6}$
(B) $\mathrm{O}_{2}$ and $\mathrm{P}_{4} \mathrm{O}_{6}$
(C) $\mathrm{O}_{2}$ and $\mathrm{P}_{4} \mathrm{O}_{10}$
(D) $\mathrm{O}_{3}$ and $\mathrm{P}_{4} \mathrm{O}_{10}$ | 1 |
The function of the brain from an evolutionary-biological thought is what? | 0 |
65. If $I=\int \frac{\sin 2 x}{(3+4 \cos x)^{3}} d x$, then $I$ equals
a. $\frac{3 \cos x+8}{(3+4 \cos x)^{2}}+C$
b. $\frac{3+8 \cos x}{16(3+4 \cos x)^{2}}+C$
c. $\frac{3+\cos x}{(3+4 \cos x)^{2}}+C$
d. $\frac{3-8 \cos x}{16(3+4 \cos x)^{2}}+C$ | 1 |
18. Consider a coaxial cable which consists of an inner wire of radius $a$ surrounded by an outer shell of inner and outer radii $b$ and $c$, respectively. The inner wire carries a current $I$ and outer shell carries an equal and opposite current. The magnetic field at a distance $x$ from the axis where $b<x<c$ is
(a) ... | 1 |
Which countries were in the ANZUS Pact? | 0 |
Is the upcoming Redmi 4 Prime a good catch? | 0 |
Along with physical changes, what sort of changes do emotions sometimes cause? | 0 |
What style came after Modernism? | 0 |
How does a visually impaired computer programmer program? | 0 |
30. Two spherical bodies $A$ (radius $6 \mathrm{~cm}$ ) and $B$ (radius $18 \mathrm{~cm}$ ) are at temperatures $T_{1}$ and $T_{2}$, respectively. The maximum intensity in the emission spectrum of $A$ is at $500 \mathrm{~nm}$ and in that of $B$ is at $1500 \mathrm{~nm}$. Considering them to be black bodies, what will b... | 1 |
12. Equation of the tangent to the hyperbola at $\left(-1, \frac{7}{2}\right)$ is
a. $5 x+2 y=2$
b. $3 x+2 y=4$
c. $3 x+4 y=11$
d. none of these | 1 |
23. The standard reduction potentials of $\mathrm{Cu}^{2+} \mid \mathrm{Cu}$ and $\mathrm{Cu}^{2+} \mid \mathrm{Cu}^{+}$are 0.337 $\mathrm{V}$ and 0.153 respectively. The standard electrode potential of $\mathrm{Cu}^{+} \mid \mathrm{Cu}$ half cell is
(a) $0.184 \mathrm{~V}$
(b) $0.827 \mathrm{~V}$
(c) $0.521 \mathr... | 1 |
7
 | 1 |
When an animal eats plants or another animal that has eaten plants, what happens to the reduced carbon compounds in the food? | 0 |
Who were the founders of progressive education? | 0 |
33. A monoatomic gas, a diatomic gas and a triatomic gas are mixed, taking one mole of each. $C_{p} / C_{v}$ for the mixture is
(a) 1.40
(b) 1.428
(c) 1.67
(d) 1.33 | 1 |
14. The decreasing order of ease of alkaline hydrolysis for the following esters is
(a) III $>$ II $>$ IV $>$ I
(b) III $>$ II $>$ I $>$ IV
(c) IV $>$ II $>$ III $>$ I
(d) II $>$ III $>$ I $>$ IV | 1 |
3. In an AC series circuit, the instantaneous current is zero
when the instantaneous voltage is maximum. Connected
to the source may be a
(a) pure inductor (b) pure capacitor
(c) pure resistor
(d) combination of an inductor and a capacitor | 1 |
Should I buy a PS4 or an Xbox one? | 0 |
Why would one judge reject another's opinion? | 0 |
How does holidaypirates.com earn money? | 0 |
What are the intercellular junctions unique to animal cells? | 0 |
49. When a gas is passed through a small hole at a temperature greater than its critical temperature, Joule-Thomson effect will show
(a) cooling of the gas
(b) warming of the gas
(c) no change in temperature
(d) first cooling and then warming | 1 |
1. The increasing order of $\mathrm{p} K_{\mathrm{b}}$ values of the following compounds is :
(a) II $<$ IV $<$ III $<$ I
(b) I $<$ II $<$ IV $<$ III
(c) II $<$ I $<$ III $<$ IV
(d)... | 1 |
4. Find the number of pairs $(\mathrm{a}, \mathrm{b})$ of real numbers such that whenever $\alpha$ is a root of $x^{2}+a x+b=0, \alpha^{2}-2$ is also a root of the equation.
(a) 12
(b) 10
(c) 8
(d) None of these | 1 |
15. $\lim _{x \rightarrow \pi} \frac{\sin (\pi-x)}{\pi(\pi-x)}$ | 1 |
Is maternity leave added in experience certificate of TCS? | 0 |
Are fat burning pills helpful along with exercise? What are the best fat burning pills (non-steroidal)? | 0 |
What are some good techniques for controlling your anger? | 0 |
8 Write reactions to justify amphoteric nature of aluminium. | 1 |
13. Two particles revolve concentrically in a horizontal plane in the same direction. The time required to complete one revolution for particle $A$ is $3 \mathrm{~min}$, while for particle $B$ is $1 \mathrm{~min}$. The time required for $A$ to complete one revolution relative to $B$ is
(a) $2 \mathrm{~min}$
(b) $1 \mat... | 1 |
87 SSM A square wire loop 20 cm on a side, with resistance $20 \mathrm{~m} \Omega$, has its plane normal to a uniform magnetic field of magnitude $B=2.0 \mathrm{~T}$. If you pull two opposite sides of the loop away from each other, the other two sides automatically draw toward each other, reducing the area enclosed by ... | 1 |
1. A coil is in series with a $20 \mu \mathrm{F}$ capacitor across a $230 \mathrm{~V}, 50 \mathrm{~Hz}$ supply. The current taken by the circuit is $8 \mathrm{~A}$ and the power consumed is $200 \mathrm{~W}$. Calculate the inductance of the coil if the current in the circuit is
(a) leading
(b) lagging | 1 |
What happens when you close a bank account with negative balance? | 0 |
What are traditional sources of funding for parties? | 0 |
4. If enthalpy of atomisation for $\mathrm{Br}_{2}(\square)$ is $x \mathrm{~kJ} / \mathrm{mol}$ and bond enthalpy for $\mathrm{Br}_{2}$ is $y \mathrm{~kJ} / \mathrm{mol}$, the relation between them:
(a) is $x=y$
(b) does not exist
(c) is $x>y$
(d) is $x<y$ | 1 |
In the winter of 1947, the National Museum started with a display of Indian art in what location? | 0 |
What are your views about the movie Dangal? | 0 |
58. Figure 5-53 shows a man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. The combined mass of man and chair is 95.0 kg . With what force magnitude must the man pull on the rope if he is to rise (a) with a constant velocit... | 1 |
Will someone know if I check their WhatsApp last seen status often? | 0 |
What is antisocial personality disorder? | 0 |
13. Let $A B C$ be a triangle, the position vectors of whose vertices are $7 \hat{j}+10 \hat{k},-\hat{i}+6 \hat{j}+6 \hat{k}$ and $-4 \hat{i}+9 \hat{j}+6 \hat{k}$. Then $\triangle A B C$ is
a. isosceles
b. equilateral
c. right angled
d. none of these | 1 |
Architecture involves the creation of what? | 0 |
Where is the best shared office space in Bangalore Indiranagar? | 0 |
24. If lines $x=y=z$ and $x=\frac{y}{2}=\frac{z}{3}$ and third line passing through $(1,1,1)$ form a triangle of area $\sqrt{6}$ units, then the point of intersection of third line with the second line will be
a. $(1,2,3)$
b. $(2,4,6)$
c. $\left(\frac{4}{3}, \frac{8}{3}, \frac{12}{3}\right)$
d. none of these | 1 |
How old is too old for a boy to use the women's locker room? | 0 |
What is the best way to overcome depression without doing anything? | 0 |
5. 1 gram of a carbonate $\left(\mathrm{M}_{2} \mathrm{CO}_{3}\right)$ on treatment with excess $\mathrm{HCl}$ produces 0.01186 mole of $\mathrm{CO}_{2}$. The molar mass of $\mathrm{M}_{2} \mathrm{CO}_{3}$ in $\mathrm{g} \mathrm{mol}^{-1}$ is :
(a) 1186
(b) 84.3
(c) 118.6
(d) 11.86 | 1 |
6. A five-digit number divisible by 3 is to be formed using the digits $0,1,2,3,4$ and 5 , without repetition. The total number of ways this can be done is
a. 216
b. 240
c. 600
d. 3125
(IIT-JEE, 1989) | 1 |
Why wont anyone answer my questions? | 0 |
96. If $x^{2}+a x-3 x-(a+2)=0$ has real and distinct roots, then minimum value of $\left(a^{2}+1\right) /\left(a^{2}+2\right)$ is
a. 1
b. 0
c. $\frac{1}{2}$
d. $\frac{1}{4}$ | 1 |
9. If $\Delta=\left|\begin{array}{ccc}1 & 3 \cos \theta & 1 \\ \sin \theta & 1 & 3 \cos \theta \\ 1 & \sin \theta & 1\end{array}\right|$, then the value of $\left(\Delta_{\max }\right) / 2$ is. | 1 |
21. Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is $\mu$, a ray, incident at an angle $\theta$, on the face $A B$ would get transmitted through the face $A C$ of the prism provided :
(a) $\theta>\cos ^{-1}\left[\mu \sin \left(A+\sin ^{-1}\left(\frac... | 1 |
How was Facebook built? | 0 |
24. Number of roots of $\cos ^{2} x+\frac{\sqrt{3}+1}{2} \sin x-\frac{\sqrt{3}}{4}-1=0$ which lie in the interval $[-\pi, \pi]$ is
a. 2
b 4 .
c. 6
d. 8 | 1 |
16. The velocity $v$ and displacement $x$ of a particle executing simple harmonic motion are related as
$$
v \frac{d v}{d x}=-\omega^{2} x
$$
At $x=0, v=v_{0}$. Find the velocity $v$ when the displacement becomes $x$. | 1 |
Ex. 1. (a) For which of the following reactions, $K_{p}$ is equal to $K_{c}$ ?
(i) $\mathrm{H}_{2}+\mathrm{I}_{2} \rightleftharpoons 2 \mathrm{HI}$
(ii) $\mathrm{N}_{2}+3 \mathrm{H}_{2} \rightleftharpoons 2 \mathrm{NH}_{3}$
(iii) $\mathrm{PCl}_{5} \rightleftharpoons \mathrm{PCl}_{3}+\mathrm{Cl}_{2}$ | 1 |
What do historians and researches argue about concerning the emotional and affectionate activities? | 0 |
What is the difference between "affect' and "effect"? | 0 |
28. Calculate the fractional void volume in the c.c.p. and h.c.p. structures of hard spheres.
(0.2594, 0.2594) | 1 |
63. If $A^{2}-A+I=0$, then the inverse of $A$ is
a. $A^{-2}$
b. $A+I$
c. $I-A$
d. $A-I$ | 1 |
When did the European revolutions occur? | 0 |
11. If $\int \frac{x^{2}-x+1}{3} e^{x} d x=e^{x} f(x)+c$, then $\left(x^{2}+1\right)^{\frac{1}{2}}$
a. $f(x)$ is an even function
b. $f(x)$ is a bounded function
c. The range of $f(x)$ is $(0,1]$
d. $f(x)$ has two points of extrema | 1 |
Can I have the same trademark as the one already registered but in different product category? | 0 |
74. A pilot flies horizontally at $1300 \mathrm{~km} / \mathrm{h}$, at height $h=35 \mathrm{~m}$ above initially level ground. However, at time $t=0$, the pilot begins to fly over ground sloping upward at angle $\theta=4.3^{\circ}$ (Fig. 2-41). If the pilot does not change the airplane's heading, at what time $t$ does ... | 1 |
In what year was War Of The Worlds originally presented? | 0 |
2 If $a>0$ and $z=\frac{(1+i)^{2}}{a-i}$, has magnitude $\sqrt{\frac{2}{5}}$, then $\bar{z}$ is equal to
(a) $\frac{1}{5}-\frac{3}{5} i$
(b) $-\frac{1}{5}-\frac{3}{5} i$
(c) $-\frac{1}{5}+\frac{3}{5} i$
(d) $-\frac{3}{5}-\frac{1}{5} i$
(2019 Main, 10 April I) | 1 |
41. For the complete combustion of ethanol,
$$
\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\mathrm{l})+3 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{~g})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})
$$
the amount of heat produced as measured in bomb calorimeter is $1364.47 \mathrm{~kJ} \mathrm{~mol}^{-... | 1 |
What is the salary of an IIT professor? | 0 |
7. Match the refining methods (Column I) with metals (Column II).
Column I
Column II
(Refining methods)
(Metals)
(I) Liquation
(a) $\mathrm{Zr}$
(II) Zone Refining
(b) $\mathrm{Ni}$
(III) Mond Process
(c) $\mathrm{Sn}$
(IV) Van Arkel Method
(d) $\mathrm{Ga}$
(a) (I) - (c); (II) - (a); (III) - (b); (IV) - (... | 1 |
Which is the best book to learn Python (both basic and detailed)? | 0 |
Who is the worst person you have ever met? | 0 |
10. If $0 \leq x<2 \pi$, then the number of real values of $x$, which satisfy the equation
$$
\cos x+\cos 2 x+\cos 3 x+\cos 4 x=0, \text { is (2016 Main) }
$$
(a) 3
(b) 5
(c) 7
(d) 9 | 1 |
What happened to the rebels of the Rebellion? | 0 |
1.5 How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain. | 1 |
How much does it cost to have an injection mold made? | 0 |
Is there evidence that FC Barcelona players have been doping? If so, for what year(s)? | 0 |
What is the name of one government body that oversees the capital of New Delhi? | 0 |
1.66. A small body $A$ starts sliding down from the top of a wedge (Fig. 1.12) whose base is equal to $l=2.10 \mathrm{~m}$. The coefficient of friction between the body and the wedge surface is $k=0.140$. At
what value of the angle $\alpha$ will the time of sliding be the least? What will it be equal to?
 $\sqrt{R+\left(X_{L}-X_{C}\right)}$
(b) $\sqrt{R^{2}+\left(X_{L}^{2}-X_{C}^{2}\right)}$
(c) $R$
(d) None of these | 1 |
What can Philosophy education be when we talk about the process? | 0 |
Is there hope for the world? | 0 |
Why do I still love her? | 0 |
4. The curve which satisfies the differential equation $\tan y+\left(1+x^{2}\right) \cot ^{-1} x\left(\frac{d y}{d x}\right)=0$ and passes through $\left(1, \frac{\pi}{2}\right)$ is
(a) $\pi \sin y=4 \cot ^{-1} x$
(b) $\pi \cos y=4 \tan ^{-1} x$
(c) $\pi \sin y=4 \tan ^{-1} x$
(d) $\pi \tan y=4 \cot ^{-1} x$ | 1 |
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