Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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SSCCGL Quantitative Aptitude Solved Question Paper 2014

Multiple Choice Questions

31.

G is the centroid of the equilateral ΔABC. If AB = 10 cm, then length of AG is

$fraction numerator 5 square root of 3 over denominator 3 end fraction cm$
$fraction numerator 10 square root of 3 over denominator 3 end fraction cm$
$5 square root of 3 space cm$
$5 square root of 3 space cm$

1043 Views

32.
Two chords AB and CD of a circle with centre O. Intersect each other at P. If ∠AOD = 100° and ∠BOC = 70°, then the value of ∠APC is

80°

75°

85°

85°

85°

angle AOD space equals space 100 degree therefore space space space space angle ACD space equals space angle ACP space equals space 100 over 2 space equals space 50 degree

(The angle subtended at the centre is twice to that of angle at the circumference by the same arc)
Again,

angle BOC space equals space 70 degree

therefore space space angle BAC space equals space 70 over 2 space equals space 35 degree space equals space angle PAC therefore space space space angle APC space equals space 180 degree space minus space 50 degree space minus space 35 degree space equals space 95 degree

1444 Views

33.

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC = 55° then value of ∠ABC is

55°
35°
145°
145°

481 Views

34.

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

2 : 3
2 : 1
1 : 2
1 : 2

316 Views

35.

ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC with ∠ABC = 35°.

Then ∠BAD is

35°
55°
70°
70°

434 Views

36.

A man goes 24 m due west and then 10 m due north. Then the distance of him from the starting point is

17 m
26 m
28 m
28 m

175 Views

37.

From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30° and 45°. Then the distance between the objects are

$180 space open parentheses 3 plus square root of 3 close parentheses straight m$
$180 space left parenthesis 3 minus square root of 3 right parenthesis straight m$
$180 space left parenthesis square root of 3 space minus 1 right parenthesis straight m$
$180 space left parenthesis square root of 3 space minus 1 right parenthesis straight m$

277 Views

38.

ABCD is a rectangle of which AC is a diagonal. The value of is

183 Views

39.

If $tan space straight x space equals space sin space 45 degree. space cos space 45 degree space plus space sin space 30 degree$ then the value of x is

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

128 Views

40.

For any real values of θ, $fraction numerator square root of secθ space minus 1 end root over denominator square root of secθ space plus 1 end root end fraction space equals space ?$