Find the sum of: from Quantitative Aptitude Algebra

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 Multiple Choice QuestionsMultiple Choice Questions

81.

If fraction numerator straight x minus straight a squared over denominator straight b plus straight c end fraction plus fraction numerator straight x minus straight b squared over denominator straight c plus straight a end fraction plus fraction numerator straight x minus straight c squared over denominator straight a plus straight b end fraction space equals space 4 left parenthesis straight a plus straight b plus straight c right parenthesis, then x is equal to

  • left parenthesis straight a plus straight b plus straight c right parenthesis squared
  • straight a squared plus straight b squared plus straight c squared
  • ab + bc + ca

  • ab + bc + ca

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82.

Find the sum of:
open parentheses 1 minus fraction numerator 1 over denominator straight n plus 1 end fraction close parentheses space plus space open parentheses 1 minus fraction numerator 2 over denominator straight n plus 1 end fraction close parentheses space plus space open parentheses 1 minus fraction numerator 3 over denominator straight n plus 1 end fraction close parentheses plus...... open parentheses 1 minus fraction numerator straight n over denominator straight n plus 1 end fraction close parentheses

  • n

  • 1 half straight n
  • (n + 1)

  • (n + 1)


B.

1 half straight n
open parentheses 1 minus fraction numerator 1 over denominator straight n plus 1 end fraction close parentheses plus space open parentheses 1 minus fraction numerator 2 over denominator straight n plus 1 end fraction close parentheses plus open parentheses 1 minus fraction numerator 3 over denominator straight n plus 1 end fraction close parentheses space plus...... open parentheses 1 minus fraction numerator straight n over denominator straight n plus 1 end fraction close parentheses
equals straight n minus open parentheses fraction numerator 1 over denominator straight n plus 1 end fraction plus fraction numerator 2 over denominator straight n plus 1 end fraction plus fraction numerator 3 over denominator straight n plus 1 end fraction plus.... fraction numerator straight n over denominator straight n plus 1 end fraction close parentheses
equals space straight n minus fraction numerator straight n left parenthesis straight n plus 1 right parenthesis over denominator 2 left parenthesis straight n plus 1 right parenthesis end fraction space equals space straight n minus straight n over 2 space equals space straight n over 2
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83.

If 2 straight x plus 2 over straight x space equals space 3 comma space then the value of straight x cubed plus 1 over straight x cubed plus 2 is

  • negative 9 over 8
  • negative 25 over 8
  • 7 over 8
  • 7 over 8
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84.

If straight a squared plus straight b squared plus straight c squared space equals space 2 left parenthesis straight a minus straight b minus straight c right parenthesis minus 3 comma then the value of left parenthesis straight a minus straight b plus straight c right parenthesis is

  • -1

  • 3

  • 1

  • 1

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85.

If straight x squared plus 3 straight x plus 1 space equals space 0 comma then the value of straight x cubed plus 1 over straight x cubed is

  • -18

  • 18

  • 36

  • 36

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86.

If straight x to the power of straight a. space straight x to the power of straight b. space straight x to the power of straight c space equals space 1 then the value of straight a cubed plus straight b cubed plus straight c cubed is

  • 9

  • abc

  • a+b+c

  • a+b+c

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87.

If straight x plus fraction numerator 1 over denominator 16 straight x end fraction space equals space 1 comma spacethen the value of 64 straight x cubed plus fraction numerator 1 over denominator 64 straight x cubed end fraction is

  • 4

  • 52

  • 64

  • 64

108 Views

88.

If a, b, c are three non-zero real numbers such that a + b + c = 0, and straight b squared space not equal to space ca comma then the value of fraction numerator straight a squared plus straight b squared plus straight c squared over denominator straight b squared minus ca end fraction is

  • 3

  • 2

  • 0

  • 0

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89.

If straight a to the power of 4 plus straight a squared straight b squared plus straight b to the power of 4 space equals space 8 and straight a squared plus ab plus straight b squared space equals space 4 comma then the value of ab is

  • -1

  • 0

  • 2

  • 2

153 Views

90.

If a = 25,  b = 15,  c = -10, then the value of fraction numerator straight a cubed plus straight b cubed plus straight c cubed minus 3 abc over denominator left parenthesis straight a minus straight b right parenthesis squared plus left parenthesis straight b minus straight c right parenthesis squared plus left parenthesis straight c minus straight a right parenthesis squared end fraction space is

  • 30

  • -15

  • -30

  • -30

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