Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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71.

If cot space straight theta space equals space 21 over 20 comma then what is the value of cosec θ?

  • 21 over 29

  • 29 over 21

  • 20 over 29

  • 29 over 20


D.

29 over 20

cot space straight theta space equals space 21 over 20 space equals space straight B over straight P
space space space straight H squared space equals space straight P squared space plus space straight B squared
space space space space space space space space space space space equals space left parenthesis 20 right parenthesis squared space plus space left parenthesis 21 right parenthesis squared
space space space space space space space space space space space equals space 400 space plus space 441 space equals space 841
therefore space space straight H space equals space square root of 841 space equals space 29
cosec space straight theta space equals space straight H over straight P space equals space 29 over 20


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72.

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in cm2) of the triangle?

  • 50 square root of 5 space cm squared

  • 100 cm2

  • 75 square root of 7 space cm squared

  • 175 cm2


73.

PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If > then what is the value (in degrees) of <img class=

  • 30°

  • 45°

  • 60°

  • 90°


74.

What is the value of tan 6°. tan 36°. tan 84°. tan 54°. tan 45°?

  • 1 half

  • fraction numerator 1 over denominator square root of 2 end fraction

  • 1

  • 1 third


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75.

If (x - 2)2 + (y + 3)2 + (z - 15)2 = 0, then what is the value of x + y + z - 5?

  • 5

  • 9

  • 15

  • 20


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