Build a question paper in 60 seconds.

1. A
   $52x+89y+519=0$
2. B
   $52x+89y-727=0$
3. C
   $52x-89y+519=0$
4. D
   $52x-89y-727=0$

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1. A
   $4\left(\frac{x+1}{x-2}\right)^{1/4} + c$
2. B
   $4\left(\frac{x-2}{x-1}\right)^{1/4} + c$
3. C
   $-\frac{4}{3}\left(\frac{x-2}{x+1}\right)^{1/4} + c$
4. D
   $-\frac{4}{3}\left(\frac{x+1}{x-2}\right)^{1/4} + c$

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1. A
   $30^\circ$
2. B
   $15^\circ$
3. C
   $45^\circ$
4. D
   $60^\circ$

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1. A
   (1, 3)
2. B
   (3, 1)
3. C
   (-1, 3)
4. D
   (-3, 1)

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1. A
   1
2. B
   $\frac{1}{2}$
3. C
   $\frac{1}{\sqrt{3}}$
4. D
   $\frac{1}{\sqrt{2}}$

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1. A
   350
2. B
   300
3. C
   200
4. D
   500

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1. A
   $\frac{5}{16}$
2. B
   $\frac{11}{16}$
3. C
   $\frac{12}{16}$
4. D
   $\frac{15}{16}$

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1. A
   $\sin^{-1}y = \log x + c$
2. B
   $\frac{y}{x} = \sin^{-1}x + c$
3. C
   $\frac{y}{x} = \sqrt{x^2-y^2} + c$
4. D
   $\sin^{-1}\frac{y}{x} = \log x + c$

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1. A
   x=0,1,2,3 with P(x)=$4^3/7^3, 9\cdot4^2/7^2, 12\cdot3^2/7^2, 3^3/7^3$ (Option A)
2. B
   x=0,1,2,3 with P(x)=$3^3/7^3, 12\cdot3^2/7^2, 9\cdot4^2/7^2, 4^3/7^3$ (Option B)
3. C
   x=0,1,2,3 with P(x)=$3^3/7^3, 9\cdot4^2/7^2, 12\cdot3^2/7^2, 4^3/7^3$ (Option C)
4. D
   x=0,1,2,3 with P(x)=$4^3/7^3, 12\cdot4^2/7^2, 9\cdot3^2/7^2, 3^3/7^3$ (Option D)

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1. A
   $10^4$
2. B
   $\frac{10^4}{4}$
3. C
   $\frac{4}{10^4}$
4. D
   $\frac{10^4}{8}$

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1. A
   2
2. B
   3
3. C
   4
4. D
   6

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1. A
   10
2. B
   9
3. C
   6
4. D
   8

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1. A
   $\frac{\pi}{6}$
2. B
   $\cos^{-1}\frac{13}{14}$
3. C
   $\frac{\pi}{3}$
4. D
   $\cos^{-1}\left(-\frac{13}{14}\right)$

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1. A
   $xe^x$
2. B
   $xe^x$
3. C
   $e^x$
4. D
   $\frac{e^x}{x}$

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1. A
   257.5
2. B
   252.5
3. C
   250
4. D
   247.5

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1. A
   $\frac{e}{2m}$, $\frac{eh}{4\pi m}$
2. B
   $\frac{eh}{4\pi m}$, $\frac{e}{2m}$
3. C
   $\frac{2m}{e}$, $\frac{4\pi m}{eh}$
4. D
   $\frac{4\pi m}{eh}$, $\frac{2m}{e}$

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1. A
   $1:3$
2. B
   $3:1$
3. C
   $3:4$
4. D
   $12:1$

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1. A
   $100\,\mu\text{A}$
2. B
   $0.01\,\text{mA}$
3. C
   $0.25\,\text{mA}$
4. D
   $500\,\mu\text{A}$

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1. A
   zero, one
2. B
   one, zero
3. C
   zero, zero
4. D
   one, one

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1. A
   $\frac{eB}{\pi^2 l}$
2. B
   $\frac{e}{\pi B l^2}$
3. C
   $\frac{B^2 e}{\pi l}$
4. D
   $\frac{\pi l^2 e}{B}$

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1. A
   4
2. B
   3
3. C
   2
4. D
   1

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1. A
   $\frac{A}{2}$
2. B
   $\frac{A}{\sqrt{2}}$
3. C
   $2A$
4. D
   $A\sqrt{2}$

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1. A
   Daphali
2. B
   Sambal
3. C
   Cymbals
4. D
   Clarinet

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1. A
   to reduce the effective potential on plates.
2. B
   to increase the effective potential on plates.
3. C
   to decrease the capacitance.
4. D
   to reduce the plate area of capacitor.

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1. A
   black, red, white
2. B
   white, red, black
3. C
   red, black, white
4. D
   red, white, black

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