1. A
   $27$
2. B
   $\frac{27}{22}$
3. C
   $\frac{27}{2}$
4. D
   $1$

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1. A
   $1$
2. B
   $4$
3. C
   $81$
4. D
   $121$

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1. A
   $44440$
2. B
   $46460$
3. C
   $46440$
4. D
   $64440$

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

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1. A
   $340$
2. B
   $484$
3. C
   $485$
4. D
   $469$

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1. A
   $205$
2. B
   $206$
3. C
   $215$
4. D
   $220$

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1. A
   $bd^2f^3$
2. B
   $bdf$
3. C
   $b^3d^2f$
4. D
   $b^2d^2f^2$

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1. A
   $a_2=a_3=0$
2. B
   $a_2=0$ and $a_3=-5$
3. C
   $a_0=6,\;a_3=0$
4. D
   $a_1=0$ and $a_2=5$

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1. A
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $5$

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1. A
   $6$
2. B
   $7$
3. C
   $8$
4. D
   $9$

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1. A
   None
2. B
   Only one statement
3. C
   Only two statements
4. D
   All three statements

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

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1. A
   $625$
2. B
   $500$
3. C
   $400$
4. D
   $256$

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1. A
   $10(1-\omega),\;10(10-\omega^2),\;100$
2. B
   $10(10-\omega),\;10(10-\omega^2),\;90$
3. C
   $10(1-\omega),\;10(10-\omega^2),\;1000$
4. D
   $(1+\omega),\;10+\omega^2,\;-1$

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1. A
   $4$
2. B
   $0$
3. C
   $-4$
4. D
   $-8$

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

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1. A
   $120$
2. B
   $24$
3. C
   $12$
4. D
   $6$

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1. A
   $1$
2. B
   $3$
3. C
   $5$
4. D
   $6$

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1. A
   $4$
2. B
   $5$
3. C
   $6$
4. D
   $7$

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

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1. A
   $72$
2. B
   $216$
3. C
   $254$
4. D
   $768$

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

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1. A
   R is reflexive but neither symmetric nor transitive
2. B
   R is reflexive and symmetric but not transitive
3. C
   R is reflexive and transitive but not symmetric
4. D
   R is an equivalence relation

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1. A
   Null set
2. B
   A
3. C
   B
4. D
   $(A\cup B)-(A\cap B)$

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1. A
   Zero
2. B
   Area of triangle
3. C
   Perimeter of triangle
4. D
   $a^2+b^2+c^2$

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