Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

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

  • 14

  • 8 square root of 3

  • 0

  • 18


62.

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

  • 2 square root of 3

  • 3 square root of 3

  • fraction numerator left parenthesis 3 square root of 3 space plus space 1 right parenthesis over denominator 2 end fraction

  • 2 square root of 3 space plus space 1


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63.

If straight x space plus space 1 over straight x space equals space 4 comma space then what is the value of straight x to the power of 6 space plus space 1 over straight x to the power of 6 ?

  • 52

  • 256

  • 1026

  • 2702


D.

2702

If straight x space plus space 1 over straight x space equals space straight a comma space spacethen,straight x cubed space plus space 1 over straight x cubed space equals space straight a cubed space minus space 3 straight a
therefore space space straight x cubed space plus space 1 over straight x cubed space equals space left parenthesis 4 right parenthesis cubed space minus space 3 space cross times space 4 space equals space 64 space minus space 12 space equals space 52
If straight x space plus space 1 over straight x space equals space straight a comma space space space then space straight x squared space plus space 1 over straight x squared space equals space straight a squared space minus space 2
therefore space space space left parenthesis straight x cubed right parenthesis squared space plus space fraction numerator 1 over denominator left parenthesis straight x cubed right parenthesis squared end fraction space equals space left parenthesis 52 right parenthesis squared space minus space 2
space space rightwards double arrow space space space straight x to the power of 6 space plus space 1 over straight x to the power of 6 space equals space 2704 space minus space 2 space equals space 2702


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64.

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

  • fraction numerator left parenthesis 1 space plus space straight x right parenthesis thin space left parenthesis 2 space minus space straight x right parenthesis over denominator 2 straight x minus 1 end fraction

  • fraction numerator left parenthesis 1 space minus space straight x right parenthesis thin space left parenthesis 2 space plus space straight x right parenthesis over denominator straight x space minus space 1 end fraction

  • fraction numerator left parenthesis 1 space plus space straight x right parenthesis thin space left parenthesis 2 space minus space straight x right parenthesis over denominator 1 space minus space 2 straight x end fraction

  • fraction numerator left parenthesis 1 plus straight x right parenthesis thin space left parenthesis 1 minus 2 straight x right parenthesis over denominator 2 minus straight x end fraction


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65.

In the ΔABC,  and the bisectors of  and  meets at P What is the value (in degrees) of 

  • 100°

  • 105°

  • 115°

  • 125°


66.

Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles?

  • 25 cm

  • 50 cm


67.

In the given figure, angle QRN space equals space 40 degree comma space space angle PQR space equals space 46 degree and MN is a tangent at R. What is the value (in degrees) of x,y and z respectively.

  • 40°, 46°,  94°

  • 40°, 50°,  90°

  • 46°, 54°,  80°

  • 50°, 40°,  90°


68.

In ΔPQR,  the perpendicular of PQ at S meets QR at T. If  then what is the value (in degrees) of ?

  • 25°

  • 40°

  • 50°

  • 60°


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69.

What is the simplified value of fraction numerator cot space straight A space plus space tan space straight B over denominator cot space straight B space plus space tan space straight A end fraction ?

  • tan B cot A

  • tan A cot B

  • tan A tan B

  • cot A cot B


70.

What is the simplified value of open parentheses fraction numerator 1 over denominator cosec space straight A space plus space cot space straight A end fraction close parentheses squared ?

  • sec A + tan A

  • fraction numerator open parentheses 1 space minus space cos space straight A close parentheses over denominator left parenthesis 1 space plus space cos space straight A right parenthesis end fraction

  • fraction numerator left parenthesis 1 minus cosec space straight A right parenthesis over denominator left parenthesis 1 space plus space cosec space straight A right parenthesis end fraction

  • sin A


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