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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

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

140 degree

From figure,
OA = OC (radii of a circle)

$therefore$ $angle OAC space equals space angle OCA space equals space 20 degree$
In $increment AOC$ ,
$angle AOC space equals space 180 degree minus left parenthesis angle OAC plus angle OCA right parenthesis$
(by angle sum property of a triangle)
$equals 180 degree minus left parenthesis 20 degree plus 20 degree right parenthesis equals 180 degree minus 40 degree space equals space 140 degree$
Now, reflex $angle AOC space equals space 360 degree space minus space angle AOC$
$equals 360 degree minus 140 degree equals space 220 degree$
$therefore$ $angle ABC space equals space 1 half cross times space reflex space angle AOC$
$equals 1 half cross times 220 degree space equals space 110 degree$

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

$1 minus 3 sin squared θcos squared straight theta$
$1 minus 3 sinθ space cosθ$
$1 plus 3 sin squared θcos squared straight theta$
$1 plus 3 sin squared θcos squared straight theta$

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?

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