Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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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


B.

6 cm



In △ OAC,



∴ Distance of the chord from the centre of the circle = OC = 6 cm
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62.

An angle in a semicircle is 

  • 45 degree
  • 60 degree
  • 90 degree
  • 90 degree
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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
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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

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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
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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

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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

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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

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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
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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

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