Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

  • 8 cm

  • 6 cm

  • 4 cm

  • 12 cm

1177 Views

62.

An angle in a semicircle is 

  • 45 degree
  • 60 degree
  • 90 degree
  • 90 degree
156 Views

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63.

If straight x space equals space straight a space cosθ space plus space straight b space sinθ and straight y equals straight b space cosθ space minus space straight a space sinθ, then straight x squared plus straight y squared is equal to

  • ab

  • straight a squared plus straight b squared
  • straight a squared minus straight b squared
  • straight a squared minus straight b squared


B.

straight a squared plus straight b squared
straight x space equals space straight a space cosθ space plus space straight b space sinθ
straight x squared space equals space left parenthesis straight a space cosθ space plus space straight b space sinθ right parenthesis squared space space space space space space space space space space space space space space... left parenthesis straight i right parenthesis
straight y equals straight b space cosθ space minus space straight a space sinθ
straight y squared space equals space left parenthesis straight b space cosθ space minus space straight a space sinθ right parenthesis squared space space space space space space space space space space space space space space... left parenthesis ii right parenthesis
Adding (i) and (ii)
straight x squared plus straight y squared space equals space straight a squared space cos squared straight theta space plus space straight b squared space sin squared straight theta space plus space 2. ab. space sinθ. space cosθ space plus space straight b squared space cos squared straight theta space
space space space space space space space space space space space space space space space space space space plus straight a squared space sin squared straight theta space minus space 2 ab space sinθ space cosθ
space space space space
          equals straight a squared space cos squared straight theta space plus space straight a squared space sin squared straight theta space plus space straight b squared space sin squared straight theta space plus space straight b squared cos squared straight theta
equals space straight a squared left square bracket sin squared straight theta space plus space cos squared straight theta right square bracket space plus space straight b squared left square bracket sin squared straight theta space plus space cos squared straight theta right square bracket
space space space space space space space space space space space space space space space space space space space space space space space open square brackets because space sin squared straight theta space plus space cos squared straight theta space equals space 1 close square brackets
equals space straight a squared left square bracket 1 right square bracket space plus space straight b squared left square bracket 1 right square bracket
equals space straight a squared plus straight b squared
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64.

A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for ₹450/-. What will be the share of A in this amount of money?

  • ₹ 200

  • ₹ 240

  • ₹ 250

  • ₹ 250

105 Views

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65.

If straight x equals space square root of 2 plus 1 comma then the value of straight x to the power of 4 minus 1 over straight x to the power of 4 is

  • 8 square root of 2
  • 18 square root of 2
  • 6 square root of 2
  • 6 square root of 2
91 Views

66.

If 9 straight x squared plus 16 straight y squared space equals space 60 and 3 straight x plus 4 straight y space equals space 6 comma then the value of xy is

  • -1

  • 1

  • -2

  • -2

77 Views

67.

If in △ ABC, DE ∥ BC, AB = 7.5 cm, BD = 6 cm and DE = 2 cm then the length of BC in cm is

  • 6

  • 8

  • 10

  • 10

269 Views

68.

Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG : GF is

  • 1: 2

  • 2 : 1

  • 1 : 3

  • 1 : 3

232 Views

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69.

If fraction numerator cosθ space over denominator 1 minus sinθ end fraction plus fraction numerator cos begin display style space end style begin display style straight theta end style over denominator 1 plus sin space straight theta end fraction space equals space 4 then the value of straight theta left parenthesis 0 less than straight theta less than 90 degree right parenthesis is

  • 60 degree
  • 45 degree
  • 30 degree
  • 30 degree
199 Views

70.

A sum of ₹ 2,000/- amounts to ₹ 4,000/- in two years at compound interest. In how many years does the same amount become ₹ 8,000/-?

  • 2

  • 4

  • 6

  • 6

221 Views

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