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SSCCGL Quantitative Aptitude Solved Question Paper 2012

Multiple Choice Questions

71.

If a = 25, b = 15, c = -10, then the value of $fraction numerator straight a cubed plus straight b cubed plus straight c cubed minus 3 abc over denominator left parenthesis straight a minus straight b right parenthesis squared plus left parenthesis straight b minus straight c right parenthesis squared plus left parenthesis straight c minus straight a right parenthesis squared end fraction space is$

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72.

A, B, C are three points on a circle. The tangent at A meets BC produced at T, $angle BTA space equals space 40 degree comma space space angle CAT space equals 44 degree$ . The angle subtended by BC at the centre of the circle is

84°
92°
96°
96°

615 Views

73.

If the length of a chord of a circle at a distance of 12cm from the centre is 10 cm, then the diameter of the circle is

13 cm
15 cm
26 cm
26 cm

171 Views

74.

In ΔABC, P and Q are the middle points of the sides AB and AC respectively. R is a point on the segment PQ such that PR : RQ = 1 : 2. If PR = 2cm, the BC =

4 cm
2 cm
12 cm
12 cm

229 Views

75.

If O is the circumcentre of ΔABC and $angle OBC space equals space 35 degree$ , then the $angle BAC$ is equal to

55°
110°
70°
70°

295 Views

76.

IF I is the incentre of ΔABC and $angle BIC space equals space 135 degree$ , then ΔABC is

acute angled
equilateral
right angled
right angled

196 Views

77.
If $sin squared straight alpha space plus space sin squared straight beta space equals 2 comma$ then the value of $cos open parentheses fraction numerator straight alpha space plus space straight beta over denominator 2 end fraction close parentheses$

1

-1

0

0

sin squared straight alpha space plus space sin squared straight beta space equals space 2 because space space sin space straight theta space less or equal than space 1 therefore space space space sin space straight alpha space equals space sin space straight beta space equals space 1 therefore space space space space space straight alpha space equals space straight beta space equals space 90 degree therefore space space space cos open parentheses fraction numerator straight alpha plus straight beta over denominator 2 end fraction close parentheses space equals space cos space 90 degree space equals space 0

172 Views

78.

The value of
$cot straight pi over 20 space cot fraction numerator 3 straight pi over denominator 20 end fraction space cot space fraction numerator 5 straight pi over denominator 20 end fraction space cot fraction numerator 7 straight pi over denominator 20 end fraction space cot fraction numerator 9 straight pi over denominator 20 end fraction$ is

-1
$1 half$
0
0

191 Views

79.

If $sin space straight theta space plus space cos space straight theta space equals space 17 over 13 comma space space 0 less than straight theta less than 90 degree comma$ then the value of $sin space straight theta space minus space cos space straight theta$ is

$5 over 17$
$3 over 19$
$7 over 10$
$7 over 10$

151 Views

80.

If $tan space straight theta space. space tan space 2 straight theta space equals space 1 comma$ then the value of $sin squared 2 straight theta space plus space tan squared 2 straight theta$ is equal to