If  then the value of x is from Quantitative Aptitude

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

101.

The value of square root of negative square root of 3 space plus space square root of 3 space plus space 8 square root of 7 space plus space 4 square root of 3 end root end root end root is

  • 3

  • 4

  • 1

  • 2

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102.

The tangents drawn at the points A and B of a circle centred at O meet at P. If angle AOB space equals space 120 degree comma then angle APB space colon thin space angle APO is

  • 3 : 2

  • 4 : 1

  • 2 : 1

  • 2 : 5

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103.

The distance between the points (0, 0) and the intersecting point of the graph of x = 3 and y = 4 is

  • 3 units

  • 2 units

  • 5 units

  • 4 units

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104.

The value of 
(1 + sec 20° + cot 70°) (1 - cosec 20° + tan 70°) is

  • -1

  • 2

  • 1

  • 0

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105.

The value of x when 5% of square root of 2 straight x end root is 0.01 will be

  • 0.02

  • 0.01

  • 0.05

  • 0.03

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106.

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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107.

The rate of simple interest at which a sum of money becomes three times in 25 yr is

  • 8%

  • 5%

  • 4%

  • 6%

29 Views

108.

A and B can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. The work as finished in next 4 days. The number of days in which C alone could do the work is

  • 30 days

  • 45 days

  • 40 days

  • 35 days

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109.

The odd element in the sequence
3, 7, 13, 21, 33, 43, 57, ............ is

  • 33

  • 43

  • 7

  • 21

27 Views

110.

A container has 80 L of milk. From this container, 8 L of milk was taken out and replaced by water. The process was further repeated twice. The volume of the milk in the container after that is

  • 58.23 L

  • 85.23 L

  • 58.32 L

  • 85.32 L

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