Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

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

6 cm

XZ = r + 9

therefore space space space space XY squared space equals space XZ squared space plus space ZY squared rightwards double arrow space space space 17 squared space equals space left parenthesis straight r plus 9 right parenthesis squared space plus space left parenthesis straight r space plus space 2 right parenthesis squared rightwards double arrow space space space 289 space equals space straight r squared space plus space 18 straight r space plus space 81 space plus space straight r squared space plus space 4 straight r space plus space 4 rightwards double arrow space space 2 straight r squared space plus space 22 straight r space plus space 85 space minus space 289 space equals space 0 rightwards double arrow space space 2 straight r squared space plus 22 straight r space minus space 204 space equals space 0 rightwards double arrow space space straight r squared space plus space 11 straight r space minus space 102 space equals space 0 rightwards double arrow space space straight r squared space plus space 17 straight r space minus 6 straight r minus 102 space equals space 0 rightwards double arrow space space straight r left parenthesis straight r plus 17 right parenthesis space minus 6 left parenthesis straight r plus 17 right parenthesis space equals space 0 rightwards double arrow space space left parenthesis straight r space minus space 6 right parenthesis thin space space left parenthesis straight r plus 17 right parenthesis space equals space 0 rightwards double arrow space space space space straight r space equals space 6 space 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°

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

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