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SSCCGL Quantitative Aptitude Solved Question Paper 2016

Multiple Choice Questions

61.
A chord of length 39 cm is at a distance of 10.4 cm from the centre of a circle. Find the radius of the circle.

19.5 cm (appr)

22.1 cm (appr)

28.6 cm (appr)

28.6 cm (appr)

22.1 cm (appr)

Let the radius of the circle = OA
In ΔOAC,
(OA)² = (OC)² + (AC)²
(OA)² = (10.4)² + (19.5)²
OA² = 108.16 + 380.25
OA² = 488.41
OA = 22.1 cm

100 Views

62.

The value of $cot space 10 degree. space cot space 20 degree. space cot space 60 degree. space cot space 70 degree. space cot space 80 degree$ is

1
-1
$square root of 3$
$square root of 3$

63 Views

63.

The largest number of four digits exactly divisible by 88 is

9988
9944
8888
8888

92 Views

64.

The average age of the boys in a class is 18 years. The average age of the girls in that class is 12 years. If the ratio of the number of boys and girls in that class is 3 : 2, then the average age of the class is

15.6 years
16.5 years
15 years
15 years

59 Views

65.

If 6x² - 12x + 1 = 0, then the value of $27 straight x cubed space plus space fraction numerator 1 over denominator 8 straight x cubed end fraction$ is

54 Views

66.

If $fraction numerator straight x squared plus 3 straight x plus 1 over denominator straight x squared minus 3 straight x plus 1 end fraction equals space 1 half$ , then the value of $straight x plus 1 over straight x$ is

9
-9
1
1

51 Views

67.

I is the incentre of Δ ABC and if ∠BAC = 70°, then ∠BIC is

140°
55°
125°
35°

96 Views

68.

A chord of length 10 cm subtends an angle 120° at the centre of the circle. Distance of the chord from the centre is

$5 square root of 3$
$fraction numerator 5 square root of 3 over denominator 2 end fraction$
$fraction numerator 5 over denominator square root of 3 end fraction$
5

128 Views

69.

If $7 space sin squared straight theta space plus space 3 space cos squared straight theta space equals space 4 comma$ $0 degree less than straight theta less than 90 degree comma$ then the value of $tan space straight theta$ is: