If  then the value of  is

• 0

• -2

• 1

• 1

If a + b + c = 0, then the value of  is

• 0

• 1

• 2

• 2

If a + b + c = 6,  a² + b² + c² = 14  and a³ + b³ + c³ = 36, then the value of abc is

• 3

• 6

• 9

• 9

If , then the value of (x⁷² + x⁶⁶ + x⁵⁴ + x³⁶ + x²⁴ + x⁶ +1) is

• 1

• 2

• 3

• 3

If  then the value of x²⁰⁶ + x²⁰⁰ + x⁹⁰ + x⁸⁴ + x¹⁸ + x¹² + x⁶ + 1 is

• 0

• 1

• 84

• 84

If  then the value of  is

• 

• 4

• -4

• -4

P varies inversely with the product of Q and R. When Q = 6 and R = 12, P = 75. When Q = 5, R = 10, then P is

• 75

• 6

• 108

• 108

If a³b = abc  = 180,  a, b, c are positive integers, then the value of c is

• 110

• 1

• 4

• 4

If , then  is equal to

• 3

• 2

• 1

• 1

If , then the value of  is

• 2

• 0

• 1

• 1