If  then the value of x is from Quantitative Aptitude

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 Multiple Choice QuestionsMultiple Choice Questions

211.

If straight a squared space plus space 1 over straight a squared space equals space 98 space left parenthesis straight a space greater than space 0 right parenthesis comma then the value of straight a cubed space plus space 1 over straight a cubed will be

  • 535

  • 1030

  • 790

  • 970

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212.

If 4x = 18y,  then the value of open parentheses straight x over straight y minus 1 close parentheses is

  • 1 third

  • 7 over 2

  • 2 over 3

  • 3 over 2

48 Views

213.

If straight x space plus space 1 over straight x space equals space 5 comma then the value of fraction numerator straight x to the power of 4 space plus space begin display style 1 over straight x squared end style over denominator straight x squared space minus space 3 straight x space plus space 1 end fraction is

  • 70

  • 50

  • 110

  • 55

29 Views

214.

If straight x space equals space 1 plus square root of 2 space plus space square root of 3 comma space space then the value of (2x4 - 8x3 - 5x2 + 26x - 28) is

  • 6 square root of 6

  • 0

  • 3 square root of 6

  • 2 square root of 6

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215.

If a + b = 6,   a - b = 2,  then the value of 2(a2 + b2) is

  • 30

  • 40

  • 10

  • 20

29 Views

216.

If straight a space equals space fraction numerator 2 plus square root of 3 over denominator 2 minus square root of 3 end fraction and straight b space equals space fraction numerator 2 minus square root of 3 over denominator 2 plus square root of 3 end fraction comma then the value of (a2 + b2 + ab) is

  • 195

  • 200

  • 175

  • 185

27 Views

217.

If straight x space equals space fraction numerator 1 over denominator 2 plus square root of 3 end fraction comma space space space straight y space equals space fraction numerator 1 over denominator 2 minus square root of 3 end fraction comma then the value of fraction numerator 1 over denominator straight x plus 1 end fraction space plus space fraction numerator 1 over denominator straight y plus 1 end fraction is

  • square root of 3

  • 1

  • fraction numerator 1 over denominator square root of 3 end fraction

  • 1 half

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218.

If square root of fraction numerator straight x minus straight a over denominator straight x minus straight b end fraction end root space plus space straight a over straight x space equals space square root of fraction numerator straight x minus straight b over denominator straight x minus straight a end fraction end root space plus space straight b over straight x comma space space straight b not equal to straight a comma space then the value of x is

  • fraction numerator ab over denominator straight a plus straight b end fraction

  • 1

  • fraction numerator straight a over denominator straight a space plus space straight b end fraction

  • fraction numerator straight b over denominator straight a space plus space straight b end fraction


A.

fraction numerator ab over denominator straight a plus straight b end fraction

rightwards double arrow space space space space space square root of fraction numerator straight x minus straight a over denominator straight x minus straight b end fraction end root space plus space straight a over straight x space equals space square root of fraction numerator straight x minus straight b over denominator straight x minus straight a end fraction end root space plus space straight b over straight x
rightwards double arrow space space space space square root of fraction numerator straight x minus straight a over denominator straight x minus straight b end fraction end root space minus space square root of fraction numerator straight x minus straight b over denominator straight x minus straight a end fraction end root space equals space straight b over straight x space minus space straight a over straight x
rightwards double arrow space space space space fraction numerator straight x space minus space straight a space minus space straight x space plus space straight b over denominator square root of left parenthesis straight x minus straight b right parenthesis thin space left parenthesis straight x minus straight a right parenthesis end root end fraction space equals fraction numerator straight b minus straight a over denominator straight x end fraction

rightwards double arrow space space straight x space equals space square root of left parenthesis straight x minus straight a right parenthesis thin space left parenthesis straight x minus straight b right parenthesis end root
rightwards double arrow space space straight x squared space equals space left parenthesis straight x space minus space straight a right parenthesis thin space left parenthesis straight x space minus space straight b right parenthesis
rightwards double arrow space space straight x squared space equals space straight x squared space minus space left parenthesis straight a space plus straight b right parenthesis straight x space plus space ab
rightwards double arrow space space space straight x left parenthesis straight a space plus space straight b right parenthesis space equals space ab
therefore space space space space straight x space equals space fraction numerator ab over denominator straight a plus straight b end fraction

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219.

If straight x space equals space fraction numerator 2 square root of 24 over denominator square root of 3 space plus space square root of 2 end fraction comma then the value of fraction numerator straight x space plus space square root of 8 over denominator straight x space minus space square root of 8 end fraction space plus space fraction numerator straight x space plus space square root of 12 over denominator straight x space minus space square root of 12 end fraction is

  • 2

  • 0

  • -2

  • 1

26 Views

220.

If straight x space equals space fraction numerator 2 square root of 6 over denominator square root of 3 space plus space square root of 2 end fraction comma then the value of fraction numerator straight x plus square root of 2 over denominator straight x minus square root of 2 end fraction space plus space fraction numerator straight x plus square root of 3 over denominator straight x minus square root of 3 end fraction is

  • square root of 3

  • square root of 6

  • 2

  • square root of 2

37 Views

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