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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

81.

The area of the square inscribed in a circle of radius 8 cm is

256 sq. cm.
250 sq. cm.
128 sq. cm.
128 sq. cm.

188 Views

82.

X and Y are centres of circles of radii 9cm and 2 cm respectively, XY = 17cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that $angle XZY space equals space 90 degree comma$ the value of r is

13 cm
6 cm
9 cm
9 cm

182 Views

83.
I is the incentre of a triangle ABC. If $angle ABC space equals space 65 degree$ and $angle ACB space equals space 55 degree comma$ then the value of $angle BIC$ is

130°

120°

140°

140°

120°

angle BIC space equals space 1 half angle ABC space equals space 65 over 2 space equals space 32.5 degree angle ICB space equals space 1 half angle ACB space equals space 55 over 2 space equals 27.5 degree

therefore space space angle BIC space equals space 180 degree space minus space 32.5 degree space minus space 27.5 degree space equals space 120 degree

204 Views

84.

If the radii of two circles be 6 cm and 3 cm and the length of the transverse common tangent be 8 cm, then the distance between the two centres is

$square root of 145 space cm$
$square root of 140 space cm$
$square root of 150 space cm$
$square root of 150 space cm$

665 Views

85.

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively.

6, 12
5, 10
4, 8
4, 8

371 Views

86.

Two posts are x metres apart and the height of one is double that of the other. If from the mid-point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is

$fraction numerator straight x over denominator 2 square root of 2 end fraction$
$straight x over 4$
$straight x square root of 2$
$straight x square root of 2$

145 Views

87.

If θ is a positive acute angle and tan 2θ tan 3θ = 1, then the value of
$left parenthesis 2 space cos squared straight theta fraction numerator 5 straight theta over denominator 2 end fraction minus 1 right parenthesis$ is

$negative 1 half$
1
0
0

188 Views

88.

If $sin space 17 degree space equals space straight x over straight y comma$ then the value of $left parenthesis sec space 17 degree space minus space sin space 73 degree right parenthesis$ is

$fraction numerator straight y squared over denominator straight x square root of straight y squared minus straight x squared end root end fraction$
$fraction numerator straight x squared over denominator straight y square root of straight y squared minus straight x squared end root end fraction$
$fraction numerator straight x squared over denominator straight y square root of straight x squared minus straight y squared end root end fraction$
$fraction numerator straight x squared over denominator straight y square root of straight x squared minus straight y squared end root end fraction$