Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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121.

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

  • 7 over 38

  • 7 over 40

  • 7 over 19

  • 7 over 26


D.

7 over 26

fraction numerator straight x squared space plus space straight y squared over denominator straight x cubed space plus space straight y cubed end fraction space equals space fraction numerator left parenthesis straight x space plus space straight y right parenthesis squared space minus space 2 xy over denominator left parenthesis straight x space plus space straight y right parenthesis cubed space minus space 3 xy left parenthesis straight x plus straight y right parenthesis end fraction
space space space space space space space space space space space space space equals space fraction numerator left parenthesis 4 right parenthesis squared minus 2 over denominator left parenthesis 4 right parenthesis cubed space minus space 3 left parenthesis 4 right parenthesis end fraction space space open square brackets because space xy space equals space left parenthesis 2 right parenthesis squared minus space left parenthesis square root of 3 right parenthesis squared space equals space 1 close square brackets
space space space space space space space space space space space space space equals space 14 over 52 space equals space 7 over 26

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122.

If a2 + b2  + c2 = 2 (a - b - c) - 3,  then the value of 2a - 3b + 4c is

  • 3

  • 1

  • 2

  • 4

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123.

If 2 straight x space minus space fraction numerator 1 over denominator 2 straight x end fraction space equals space 6 comma then the value of straight x squared space plus space fraction numerator 1 over denominator 16 straight x squared end fraction is

  • 19 over 2

  • 17 over 2

  • 18 over 3

  • 15 over 2

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124.

If 5 straight a space plus space fraction numerator 1 over denominator 3 straight a end fraction space equals space 5 comma then the value of 9 straight a squared space plus space fraction numerator 1 over denominator 25 straight a squared end fraction is

  • 34 over 5

  • 39 over 5

  • 42 over 5

  • 52 over 5

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125.

The area of the triangle formed by the lines 5x + 7y = 35,   4x + 3y = 12 and x-axis is

  • 160/13 sq units

  • 150/13 sq units

  • 140/13 sq units

  • 10 sq units

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126.

In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is the orthocentre. If ∠BOC = 54°, then ∠BAC is

  • 108°

  • 126°

  • 136°

  • 116°

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127.

If the ratio of area of two similar triangles is 9 : 16, then the ratio of their corresponding sides is

  • 3 : 5

  • 3 : 4

  • 4 : 5

  • 4 : 3

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128.

Let BE and CF be the two medians of a Δ ABC and G be their intersection. Also let EF cut AG at O. Then, AO : OG is

  • 1 : 1

  • 1 : 2

  • 2 : 1

  • 3 : 1

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129.

If S is the circumcentre of Δ ABC and ∠A = 50° then the value of ∠BCS is

  • 20°

  • 40°

  • 60°

  • 80°

37 Views

130.

AC and BC are two equal chords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then, 

  • CT : TP  = AB : CA

  • CT : TP  = CA : AB

  • CT : CB  = CA : CP

  • CT : CB  = CP : CA

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