Two chords of length a unit and b unit of a circle make angles 60

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

111.

If the area of a circle is A, radius of the circle is r and circumference of it is C, then

  • rC = 2A

  • straight A over straight r space equals space straight C

  • AC space equals space straight r squared over 4

  • straight C over straight A space equals space straight r over 2


112.

Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m, the distance between their top will be

  • 13 m

  • 19 m

  • 15 m

  • 17 m


113.

 2x - ky + 7 = 0 and  6x - 12y + 15 = 0 has no solution for

  • k = 1

  • k = -1

  • k = 4

  • k = -4


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114.

Two chords of length a unit and b unit of a circle make angles 60° and 90° at the centre of a circle respectively, then the correct relation is

  • straight b space equals space square root of 3 space straight a

  • straight b space equals space space 2 straight a

  • straight b space equals space square root of 2 space straight a

  • straight b space equals space 3 over 2 straight a


C.

straight b space equals space square root of 2 space straight a


From the figure,
OA = OB = OC = OD (Radius of a circle)
Now, In ΔCOD,
CD space equals space square root of OC squared space plus space OD squared end root space
space straight b space equals space square root of straight a squared space plus space straight a squared end root
space straight b space equals space square root of 2 straight a squared end root
space straight b space equals space square root of 2 straight a
    


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116.

The market price of a watch was ₹ 720. A man bought the same for ₹ 550.80 after getting two successive discounts, the first being 10%. The second discount rate is

  • 12%

  • 14%

  • 15%

  • 18%


117.

Allowing 20% and 15% successive discounts, the selling price of an article become ₹ 3060, then the marked price will be

  • ₹ 5000

  • ₹ 4400

  • ₹ 4500

  • ₹ 4000


118.

If 2 plus straight x space square root of 3 space equals space fraction numerator 1 over denominator 2 plus square root of 3 end fraction comma space then the simplest value of x is

  • 1

  • -1

  • -2

  • 2


119.

If m = -4,  n = -2, then the value of 
m3 - 3m2 + 3m + 3n + 3n2 + n3

  • -126

  • 124

  • 126

  • -124


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120.

The measure of an angle whose supplement is three times as large as its complement, is

  • 60°

  • 75°

  • 30°

  • 45°


121.

If sin θ + sin θ = 1, then cos2 θ + cos4 θ is equal to

  • 1

  • fraction numerator cos squared straight theta over denominator sinθ end fraction

  • fraction numerator sin space straight theta over denominator cos to the power of 2 space end exponent straight theta end fraction

  • None


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