1. A
   12, 12, 12, 12, 24
2. B
   6, 18, 18, 18, 30
3. C
   6, 6, 12, 30, 36
4. D
   6, 6, 6, 12, 30

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1. A
   250
2. B
   125
3. C
   120
4. D
   Cannot be determined due to insufficient data

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1. A
   1
2. B
   $-k$
3. C
   $k^2$
4. D
   $-k^2$

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1. A
   810
2. B
   900
3. C
   30000
4. D
   81000

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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
   reduced by $\frac{1}{3}$
2. B
   increased by $\frac{10}{3}$
3. C
   reduced by $\frac{10}{3}$
4. D
   reduced by 50

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

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1. A
   $\frac{5}{36}$
2. B
   $\frac{25}{36}$
3. C
   $\frac{25}{54}$
4. D
   $\frac{25}{216}$

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1. A
   10
2. B
   12
3. C
   13
4. D
   15

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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
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $3$

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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
   $0$
2. B
   $1$
3. C
   $\log_{2} 5$
4. D
   $\log_{5} 2$

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1. A
   30
2. B
   49
3. C
   90
4. D
   147

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1. A
   $10^{n}p$
2. B
   $2p\cdot10^{n}$
3. C
   $10^{n}p-1$
4. D
   $10^{n}p+1$

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1. A
   $0<k<\frac{5}{3}$
2. B
   $0<k<\frac{3}{5}$ only
3. C
   $\frac{3}{5}<k<\frac{5}{3}$
4. D
   No such value of $k$ exists

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1. A
   $10!-1$
2. B
   $11!+1$
3. C
   $10!+1$
4. D
   $11!-1$

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1. A
   Nil
2. B
   One
3. C
   Two
4. D
   Three

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1. A
   $\Delta$
2. B
   $7\Delta$
3. C
   $72\Delta$
4. D
   $-72\Delta$

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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
   $-2I$
2. B
   $-I$
3. C
   $2I$
4. D
   $I$

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

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1. A
   $-1$
2. B
   $1$
3. C
   $i$
4. D
   $-i$

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1. A
   Straight line
2. B
   Parabola
3. C
   Circle
4. D
   Pair of straight lines

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1. A
   $\sqrt{a+ib}+\sqrt{a-ib}$
2. B
   $\sqrt{a+ib}-\sqrt{a-ib}$
3. C
   $2a+ib$
4. D
   $2a-ib$

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