If  then the value of  from Quantitative Aptitude Algebra

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 Multiple Choice QuestionsMultiple Choice Questions

11.

If 2x - 1 < 5x  +2  and 2x + 5 < 6 - 3x, then x can take which of the following values?

  • 1

  • 0

  • 2

  • -2


12.

If straight x minus 1 over straight x space equals 2, then what is the value of straight x squared plus 1 over straight x squared ?

  • 4

  • 5

  • 3

  • 3

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13.

If straight x cubed plus 1 over straight x cubed space equals space 110, then find the value of straight x plus 1 over straight x.

  • 2

  • 3

  • 4

  • 4

291 Views

14.

If straight x space equals space fraction numerator square root of 5 minus square root of 3 over denominator square root of 5 plus square root of 3 end fraction and straight y space equals space fraction numerator square root of 5 plus square root of 3 over denominator square root of 5 minus square root of 3 end fraction, then the value of fraction numerator straight x squared plus xy plus straight y squared over denominator straight x squared minus xy plus straight y squared end fraction equals ?


  • 67 over 65
  • 69 over 67
  • 65 over 63
  • 65 over 63
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15.

If straight x squared plus straight x space equals space 5, then the value of 

  • 110

  • 120

  • 140

  • 140

149 Views

16.

If 4 straight a minus 4 over straight a plus 3 space equals space 0 comma then the value of straight a cubed minus 1 over straight a cubed plus 3

  • 3 over 16
  • 21 over 64
  • 21 over 16
  • 21 over 16
138 Views

17.

If x = z = 225  and  y = 226, then the value of straight x cubed plus straight y cubed plus straight z cubed minus 3 xyz.

  • 765

  • 576

  • 674

  • 674

161 Views

18.

If straight x squared plus straight y squared plus straight z squared space equals space 2 left parenthesis straight x plus straight z minus 1 right parenthesis, then the value of straight x cubed plus straight y cubed plus straight z cubed 

  • 2

  • 0

  • -1

  • -1

115 Views

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19.

If straight x plus 1 over straight x equals 1 comma then the value of fraction numerator 2 over denominator straight x squared minus straight x plus 2 end fraction

  • 4

  • 1

  • 2 over 3
  • 2 over 3


B.

1

straight x plus 1 over straight x equals space 1   
rightwards double arrow       straight x squared plus 1 space equals space 2 straight x space space rightwards double arrow space space space straight x squared plus 1 minus 2 straight x space equals space 0 
rightwards double arrow space space space space space space space space space space space space left parenthesis straight x minus 1 right parenthesis squared space equals space 0 space space space space space space rightwards double arrow space space space space space space space space space space space straight x space minus 1 space equals space 0
rightwards double arrow space space space space space space space space space space space space space space space straight x space equals space 1
therefore                    fraction numerator 2 over denominator straight x squared minus straight x plus 2 end fraction equals fraction numerator 2 over denominator left parenthesis 1 right parenthesis squared minus 1 plus 2 end fraction equals space fraction numerator 2 over denominator 1 minus 1 plus 2 end fraction space equals 1
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20.

If P = 99, then the value of straight p left parenthesis straight p squared plus 3 straight p plus 3 right parenthesis is

  • 9999999

  • 1000001

  • 999999

  • 999999

154 Views

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