If x = z = 225  and  y = 226, then the value of . from Quant

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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
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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


D.

674

straight x cubed plus straight y cubed plus straight z cubed minus 3 xyz space equals space 1 half left parenthesis straight x plus straight y plus straight z right parenthesis thin space left square bracket left parenthesis straight x minus straight y right parenthesis squared plus left parenthesis straight y minus straight z right parenthesis squared plus left parenthesis straight z minus straight x right parenthesis squared right square bracket
equals 1 half left square bracket 225 plus 226 plus 225 right parenthesis space left square bracket left parenthesis 225 minus 226 right parenthesis squared plus left parenthesis 226 minus 225 right parenthesis squared plus left parenthesis 225 minus 225 right parenthesis squared right square bracket
1 half cross times 676 space left square bracket left parenthesis negative 1 right parenthesis squared plus left parenthesis 1 right parenthesis squared plus 0 right square bracket space equals space 1 half cross times 676 cross times 2 space equals space 676
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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
123 Views

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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