1. A
   1 only
2. B
   2 only
3. C
   Both 1 and 2
4. D
   Neither 1 nor 2

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1. A
   4 square units
2. B
   6 square units
3. C
   8 square units
4. D
   16 square units

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

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1. A
   $e^{e^{x}}$
2. B
   $e^{x}$
3. C
   $e^{e^{x}}e^{x}$
4. D
   $ee^{x}$

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1. A
   $4k<1$
2. B
   $3k>1$
3. C
   $3k<1$
4. D
   $3k\le1$

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1. A
   $4\ln 2$
2. B
   $\ln 4$
3. C
   $\ln 5$
4. D
   $8\ln 2$

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1. A
   less than $k$
2. B
   greater than $k$
3. C
   less than or equal to $k$
4. D
   greater than or equal to $k$

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1. A
   $k<2$
2. B
   $2<k<3$
3. C
   $3<k<4$
4. D
   $k>4$

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1. A
   0·3 square unit
2. B
   0·4 square unit
3. C
   0·6 square unit
4. D
   0·8 square unit

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1. A
   $\theta<\frac{\pi}{6}$
2. B
   $\frac{\pi}{6}<\theta<\frac{\pi}{4}$
3. C
   $\frac{\pi}{4}<\theta<\frac{\pi}{3}$
4. D
   $\frac{\pi}{3}<\theta<\frac{\pi}{2}$

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1. A
   1 only
2. B
   3 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   $P(B|A)<P(B)$
2. B
   $P(B|A)>P(B)$
3. C
   $P(B|A)=P(B)$
4. D
   $P(B|A)>P(A)$

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1. A
   Range
2. B
   Mean deviation
3. C
   Standard deviation
4. D
   Quartile deviation

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

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1. A
   $\frac{2}{3}$
2. B
   $\frac{1}{15}$
3. C
   $\frac{2}{15}$
4. D
   $\frac{13}{15}$

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1. A
   36·8
2. B
   38·3
3. C
   39·5
4. D
   40·3

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1. A
   1 only
2. B
   2 only
3. C
   Both 1 and 2
4. D
   Neither 1 nor 2

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1. A
   20
2. B
   22
3. C
   34
4. D
   44

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1. A
   $8<g<16$
2. B
   $16<g<32$
3. C
   $32<g<64$
4. D
   $g>64$

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1. A
   32
2. B
   36
3. C
   40
4. D
   44

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1. A
   5
2. B
   5·5
3. C
   10
4. D
   10·5

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