If  then the value of  is from Quantitative Aptitude Algebr

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 Multiple Choice QuestionsMultiple Choice Questions

101.

If 2 straight x plus 2 over straight x space equals space 1 comma then the value of straight x cubed space plus space 1 over straight x cubed is

  • 13 over 8
  • negative 11 over 8
  • 11 over 8
  • 11 over 8
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102.

If straight a squared space plus space straight b squared space plus space 1 over straight a squared space plus space 1 over straight b squared space equals space 4 comma then the value of straight a squared space plus space straight b squared will be

  • 1

  • 1 1 half
  • 2

  • 2

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103.

If straight x cubed plus 3 straight x squared plus 3 straight x space equals space 7 comma then x is equal to

  • 2

  • cube root of 6
  • 1

  • 1

165 Views

104.

If 2 straight x plus space fraction numerator 1 over denominator 3 straight x end fraction space equals space 6 comma then 3 straight x plus fraction numerator 1 over denominator 2 straight x end fraction is equal to

  • 4

  • 8

  • 9

  • 9

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105.

If straight x squared space plus straight y squared space minus space 2 straight x space plus space 6 straight y space plus space 10 space equals space 0, then the value of (x2 + y2) is

  • 4

  • 6

  • 8

  • 8

104 Views

106.

If a + b + c = 1 and ab + bc + ca = 1 third then a : b : c is

  • 1 : 2 : 2

  • 2 : 1 : 2

  • 1 : 1 : 1

  • 1 : 1 : 1

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107.

If straight x space equals space left parenthesis square root of 2 space minus 1 right parenthesis to the power of negative 1 half end exponent then the value of open parentheses straight x squared space minus space 1 over straight x squared close parentheses is

  • 2

  • negative 2 square root of 2
  • 2 square root of 2
  • 2 square root of 2


A.

2

straight x space equals space left parenthesis square root of 2 minus 1 right parenthesis to the power of negative 1 half end exponent
S.B.S.
straight x squared space equals space minus left parenthesis square root of 2 minus 1 right parenthesis     
1 over straight x squared space equals space minus fraction numerator 1 over denominator left parenthesis square root of 2 minus 1 right parenthesis end fraction
-open parentheses straight x squared space minus space 1 over straight x squared close parentheses space equals space minus left parenthesis square root of 2 minus 1 right parenthesis minus fraction numerator negative 1 over denominator square root of 2 minus 1 end fraction
open parentheses straight x squared space minus space 1 over straight x squared close parentheses space equals space fraction numerator negative left parenthesis square root of 2 minus 1 right parenthesis squared plus 1 over denominator square root of 2 minus 1 end fraction
open parentheses straight x squared space minus space 1 over straight x squared close parentheses space space equals space fraction numerator negative left parenthesis 2 plus 1 minus 2 square root of 2 right parenthesis plus 1 over denominator square root of 2 minus 1 end fraction
open parentheses straight x squared space minus space 1 over straight x squared close parentheses space space equals space fraction numerator 2 square root of 2 minus 2 over denominator square root of 2 minus 1 end fraction space equals space fraction numerator 2 left parenthesis square root of 2 minus 1 right parenthesis over denominator square root of 2 minus 1 end fraction space equals space 2
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108.

If square root of 7 square root of 7 square root of 7 square root of 7 end root end root end root space equals space left parenthesis 343 right parenthesis to the power of straight y minus 1 end exponent, then y is equal to

  • 2 over 3
  • 1

  • 4 over 3
  • 4 over 3
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109.

If a2 = 2,  then (a + 1) is equal to

  • a - 1

  • fraction numerator 2 over denominator straight a minus 1 end fraction
  • fraction numerator straight a plus 1 over denominator 3 minus 2 straight a end fraction
  • fraction numerator straight a plus 1 over denominator 3 minus 2 straight a end fraction
148 Views

110.

If straight x to the power of 1 third end exponent space plus space straight y to the power of 1 third end exponent space equals space straight z to the power of 1 third end exponent comma then left parenthesis straight x plus straight y minus straight z right parenthesis cubed space plus space 27 xyz is equal to

  • 0

  • 1

  • -1

  • -1

129 Views

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