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SSCCGL Quantitative Aptitude Solved Question Paper 2014

Multiple Choice Questions

131.

If ABCD is a cyclic parallelogram, then the $angle straight A$ is

$60 degree$
$80 degree$
$90 degree$
$90 degree$

510 Views

132.

AC is a chord of circle whose centre is at O. If B is any point on the arc AC and $angle OCA space equals space 20 degree$ , then the magnitude of $angle ABC$ is

$100 degree$
$40 degree$
$140 degree$
$140 degree$

380 Views

133.

The coordinates of the vertices of a right angled triangle are P(3, 4), Q(7, 4) and R(3, 8), the right angle being at P. The coordinates of the orthocentre of $increment PQR$ are

(3, 4)
(7, 4)
(3, 8)
(3, 8)

588 Views

134.

The value of $left parenthesis secθ space plus space cosecθ right parenthesis space$ when $straight theta space equals space 45 degree$ is

$3 square root of 2$
$4 square root of 2$
$2 square root of 2$
$2 square root of 2$

149 Views

135.

fraction numerator tan squared straight theta over denominator secθ plus 1 end fraction minus secθ

is equal to

-1
1
0
0

182 Views

136. $sin to the power of 6 straight theta plus cos to the power of 6 straight theta$ is equal to
$1 minus 3 sin squared θcos squared straight theta$
$1 minus 3 sinθ space cosθ$
$1 plus 3 sin squared θcos squared straight theta$
$1 plus 3 sin squared θcos squared straight theta$

1 minus 3 sin squared θcos squared straight theta

We have, $sin to the power of 6 straight theta space plus space cos to the power of 6 straight theta$
$equals space left parenthesis sin squared straight theta right parenthesis cubed space plus space left parenthesis cos squared straight theta right parenthesis cubed$
$equals left parenthesis sin squared straight theta plus cos squared straight theta right parenthesis space left square bracket sin to the power of 4 straight theta plus cos to the power of 4 straight theta minus sin squared θcos squared straight theta right square bracket$
$open square brackets because space straight a cubed plus straight b cubed space equals space left parenthesis straight a plus straight b right parenthesis thin space left parenthesis straight a squared plus straight b squared minus ab right parenthesis close square brackets$
$equals space left square bracket left parenthesis sin squared straight theta right parenthesis squared plus left parenthesis cos squared straight theta right parenthesis squared minus sin squared θcos squared straight theta right square bracket$
$equals open square brackets open parentheses sin squared straight theta plus cos squared straight theta close parentheses squared minus 2 sin squared straight theta. cos squared straight theta minus sin squared straight theta space cos squared straight theta close square brackets equals 1 minus 2 sin squared straight theta space cos squared straight theta minus sin squared straight theta space cos squared straight theta equals 1 minus 3 sin squared θcos squared straight theta$

205 Views

137.

If $tanθ plus cotθ space equals space 2 comma space space space 0 less than straight theta less than 90 degree comma$ then the value of $straight theta$ is

$30 degree$
$45 degree$
$60 degree$
$60 degree$

134 Views

138.

The expression of $1 plus fraction numerator cot squared straight A over denominator 1 plus cosecA end fraction$ is equal to

sin A
cos A
tan A
tan A

169 Views

139.

The shadow of a tower standing on a level ground is found to be 40 m longer when the sun's altitude is $30 degree$ , then when it is $60 degree$ . Find the length of the tower.

10 m
$10 square root of 3 straight m$
20 m
20 m

590 Views

140.

The length of a shadow of a tower is 9 m when the sun's altitude is $30 degree$ . What is the height of the tower?

$4 1 half straight m$
$9 square root of 3 straight m$
$fraction numerator 9 square root of 3 over denominator 2 end fraction straight m$
$fraction numerator 9 square root of 3 over denominator 2 end fraction straight m$