Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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71.

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


D.

-30

straight a cubed plus straight b cubed plus straight c cubed minus 3 abc space equals space 1 half left parenthesis straight a plus straight b plus straight c right parenthesis space open square brackets left parenthesis straight a minus straight b right parenthesis squared space plus space left parenthesis straight b minus straight c right parenthesis squared plus space left parenthesis straight c minus straight a right parenthesis squared close square brackets
equals space fraction numerator begin display style 1 half end style left parenthesis straight a plus straight b plus straight c right parenthesis open square brackets left parenthesis straight a minus straight b right parenthesis squared plus left parenthesis straight b minus straight c right parenthesis squared plus space left parenthesis straight c minus straight a right parenthesis squared close square brackets over denominator left parenthesis straight a minus straight b right parenthesis squared space plus space left parenthesis straight b minus straight c right parenthesis squared plus left parenthesis straight c minus straight a right parenthesis squared end fraction
equals space 1 half left parenthesis straight a plus straight b plus straight c right parenthesis space equals space 1 half left parenthesis 25 plus 15 minus 10 right parenthesis space equals space 15
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72.

A, B, C are three points on a circle. The tangent at A meets BC produced at T, angle BTA space equals space 40 degree comma space space angle CAT space equals 44 degree. The angle subtended by BC at the centre of the circle is

  • 84°

  • 92°

  • 96°

  • 96°

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73.

If the length of a chord of a circle at a distance of 12cm from the centre is 10 cm, then the diameter of the circle is

  • 13 cm

  • 15 cm

  • 26 cm

  • 26 cm

171 Views

74.

In ΔABC, P and Q are the middle points of the sides AB and AC respectively. R is a point on the segment PQ such that PR : RQ = 1 : 2. If PR = 2cm, the BC =  

  • 4 cm

  • 2 cm

  • 12 cm

  • 12 cm

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75.

If O is the circumcentre of ΔABC and angle OBC space equals space 35 degree, then the angle BAC is equal to

  • 55°

  • 110°

  • 70°

  • 70°

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76.

IF I is the incentre of ΔABC and angle BIC space equals space 135 degree, then ΔABC is 

  • acute angled

  • equilateral

  • right angled

  • right angled

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77.

If sin squared straight alpha space plus space sin squared straight beta space equals 2 comma then the value of cos open parentheses fraction numerator straight alpha space plus space straight beta over denominator 2 end fraction close parentheses

  • 1

  • -1

  • 0

  • 0

172 Views

78.

The value of
cot straight pi over 20 space cot fraction numerator 3 straight pi over denominator 20 end fraction space cot space fraction numerator 5 straight pi over denominator 20 end fraction space cot fraction numerator 7 straight pi over denominator 20 end fraction space cot fraction numerator 9 straight pi over denominator 20 end fraction is

  • -1

  • 1 half
  • 0

  • 0

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79.

If sin space straight theta space plus space cos space straight theta space equals space 17 over 13 comma space space 0 less than straight theta less than 90 degree comma then the value of sin space straight theta space minus space cos space straight theta is

  • 5 over 17
  • 3 over 19
  • 7 over 10
  • 7 over 10
151 Views

80.

If tan space straight theta space. space tan space 2 straight theta space equals space 1 comma then the value of sin squared 2 straight theta space plus space tan squared 2 straight theta is equal to

  • 3 over 4
  • 10 over 3
  • 3 3 over 4
  • 3 3 over 4
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