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 Multiple Choice QuestionsMultiple Choice Questions

71.

If P = 99, then the value of 

  • 10000000

  • 9990000

  • 999999

  • 990000

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72.

If a = 64 and b = 289, then the value of   open parentheses square root of square root of straight a plus square root of straight b end root minus square root of square root of straight b minus square root of straight a end root close parentheses to the power of 1 half end exponent is

  • 2 to the power of 1 half end exponent
  • 2

  • 4

  • 4


A.

2 to the power of 1 half end exponent

a = 64   and b = 289
therefore space space square root of straight a space equals space square root of 64 space equals space 8 space space and
space space square root of straight b space equals space square root of 289 space equals space 17
therefore space space open parentheses square root of square root of straight a plus square root of straight b end root space minus space square root of square root of straight b minus square root of straight a end root close parentheses to the power of 1 half end exponent
space equals space open parentheses square root of 8 plus 17 end root space minus space square root of 17 minus 8 end root close parentheses to the power of 1 half end exponent
equals space space left parenthesis square root of 25 space minus space square root of 9 right parenthesis to the power of 1 half end exponent
space equals space left parenthesis 5 space minus space 3 right parenthesis to the power of 1 half end exponent space equals space left parenthesis 2 right parenthesis to the power of 1 half end exponent

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73.

The value of
  is

  • 2

  • 1

  • -1

  • 0

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74.

If x = y = 333 and z = 334, then the values of x3 + y3 + z3 - 3xyz is

  • 0

  • 667

  • 1000

  • 1000

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75.

If (x - a) (x - b) = 1 and a - b + 5 = 0, then the value of left parenthesis straight x minus straight a right parenthesis cubed space minus space fraction numerator 1 over denominator left parenthesis straight x minus straight a right parenthesis cubed end fraction is

  • -125

  • 1

  • 125

  • 125

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76.

If square root of straight x space equals space square root of 3 space minus space square root of 5, then the value of straight x squared minus 16 straight x plus 6 is

  • 0

  • -2

  • 2

  • 2

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77.

The value of square root of 2 cube root of 4 square root of 2 cube root of 4 square root of 2 cube root of 4......... end root end root end root end root end root end root is

  • 2

  • 22

  • 23

  • 23

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78.

If a2 + b2 + c2 = 2(a - b - c) - 3, then the value of 4a - 3b + 5c is

  • 2

  • 3

  • 5

  • 5

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79.

Out of the given responses, one of the factors of
(a2 - b2)3 + (b2 - c2)3 + (c2 - a2)3 is 

  • (a + b) (a - b)

  • (a + b) (a + b)

  • (a - b) (a - b)

  • (a - b) (a - b)

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80.

If straight x space equals space cube root of 5 plus 2 comma then the value of straight x cubed minus 6 straight x squared plus 12 straight x minus 13 is

  • -1

  • 1

  • 2

  • 2

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