Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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


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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


C.

75 square root of 7 space cm squared

Area of isosceles triangle
            equals space 1 fourth space cross times space straight b space cross times space square root of 4 straight a squared space minus space straight b squared end root
equals space 1 fourth space cross times space 30 space cross times space square root of 4 space cross times space left parenthesis 20 right parenthesis squared space minus space left parenthesis 30 right parenthesis squared end root
equals space 15 over 2 cross times space square root of 1600 space minus space 900 end root
equals space 15 over 2 space cross times space square root of 700 space equals space fraction numerator 15 space cross times space 10 square root of 7 over denominator 2 end fraction
space equals space 75 square root of 7 space cm squared


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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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