Build a question paper in 60 seconds.

1. A
   $\sqrt{12}$
2. B
   $2\sqrt{12}$
3. C
   $\sqrt{314}$
4. D
   $2\sqrt{14}$

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1. A
   $2x+2y-\pi=0$
2. B
   $2x-y-\pi=0$
3. C
   $2x-2y-\pi=0$
4. D
   $2x+y-\pi=0$

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1. A
   $\vec{r} = (\hat{i}+2\hat{j}+3\hat{k})+\lambda(\hat{i}+\hat{j}+\hat{k})$
2. B
   $\vec{r} = (\hat{i}+2\hat{j}+3\hat{k})+\lambda(\hat{i}-\hat{j}-\hat{k})$
3. C
   $\vec{r} = (\hat{i}+2\hat{j}+3\hat{k})+\lambda(\hat{i}+\hat{j}-\hat{k})$
4. D
   $\vec{r} = (\hat{i}+2\hat{j}+3\hat{k})+\lambda(\hat{i}-\hat{j}+\hat{k})$

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1. A
   $\frac{1}{3}(\log x) + c$
2. B
   $\frac{2}{3}(\log x)^2 + c$
3. C
   $\frac{2}{3}(\log x)^2 + c$
4. D
   $\frac{1}{12}(\log x)^2 + c$

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1. A
   $(\neg q\vee\neg r)\wedge\neg p$
2. B
   $(q\vee\neg r)\wedge p$
3. C
   $(q\wedge\neg r)\vee p$
4. D
   $(\neg q\wedge\neg r)\vee\neg p$

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1. A
   5
2. B
   10
3. C
   15
4. D
   0

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1. A
   $-4y-x+7z=0$
2. B
   $x-4y-7z=0$
3. C
   $x-4y+7z=0$
4. D
   $x+4y+7z=0$

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

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1. A
   0.2762
2. B
   0.2963
3. C
   0.2632
4. D
   0.2692

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1. A
   $(0,3,2)$
2. B
   $(0,2,3)$
3. C
   $(2,0,3)$
4. D
   $(2,3,0)$

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1. A
   2.3 and 6.1
2. B
   2.3 and 0.81
3. C
   2.3 and 0.1
4. D
   2.3 and 0.9

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

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1. A
   (i) and (ii)
2. B
   (ii) and (iv)
3. C
   (iii) and (v)
4. D
   (i) and (iii)

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1. A
   $L = N\phi$
2. B
   $L = \mu_0 N A l$
3. C
   $L = \mu_0 N^2 \frac{A}{l}$
4. D
   $L = \mu_0 N \frac{A}{l}$

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1. A
   10:1
2. B
   1:10
3. C
   1000:1
4. D
   1:1000

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1. A
   AND gate.
2. B
   OR gate
3. C
   NAND gate
4. D
   NOR gate

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1. A
   $10\,\mu F$
2. B
   $20\,\mu F$
3. C
   $30\,\mu F$
4. D
   $40\,\mu F$

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1. A
   $24MR^2$
2. B
   $32MR^2$
3. C
   $56MR^2$
4. D
   $80MR^2$

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1. A
   $\sqrt{2GM\left(\frac{1}{R} - \frac{1}{R_0}\right)}$
2. B
   $\left[2GM\left(\frac{1}{R} - \frac{1}{R_0}\right)\right]^{1/2}$
3. C
   $\sqrt{GM\left(\frac{1}{R} - \frac{1}{R_0}\right)}$
4. D
   $\left[2GM\left(\frac{1}{R} - \frac{1}{R_0}\right)\right]^{1/2}$

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

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1. A
   256 Hz
2. B
   288 Hz
3. C
   320 Hz
4. D
   384 Hz

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1. A
   $\frac{1}{\sqrt{3}}$
2. B
   $\frac{1}{\sqrt{5}}$
3. C
   $\frac{1}{\sqrt{7}}$
4. D
   $\frac{1}{\sqrt{11}}$

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1. A
   $\frac{7}{29}$
2. B
   $\frac{9}{31}$
3. C
   $\frac{5}{27}$
4. D
   $\frac{3}{23}$

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1. A
   5%
2. B
   5.26%
3. C
   4.20%
4. D
   4.70%

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1. A
   $\frac{1}{4}\,\text{m}$
2. B
   $\frac{1}{8}\,\text{m}$
3. C
   $\frac{3}{8}\,\text{m}$
4. D
   $\frac{7}{8}\,\text{m}$

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