# SSC CGL Tier 1 :: Quantitative Aptitude QA Test 18

## Home SSC CGL Tier 1 / Quantitative Aptitude QA Test 18 Questions and Answers

1 . P and Q are two points observed from the top of a builing 10$\sqrt3$ m high. If the angles of depressi on of t he poi nts are complementary and PQ = 20 m, then the distance of P from the building is –
30 m
40 m
25 m
45 m
2 . If A and B are complementary angles, then the value of sin A cos B + cos A sin B – tan A tan B + $sec^2$ A – $cot^2$ B is–
1
-1
2
0
3 . The least value of $2sin^2$ Ø + $3cos^2$ Ø is –
1
2
3
5
4 . A, O, B are three points on a line segment and C is a point not lying on AOB. If ∠AOC = 40° and OX, OY are the internal and external bisectors of ∠ AOC respectively, then ∠ BOY is –
72°
68°
70°
80°
5 . Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If ∠AOP = 60°, then ∠APB is –
60°
30°
120°
90°
6 . If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of nis –
5
6
8
10
7 . If the length of the side PQ of the rhombus PQRS is 6 cm and ∠ PQR = 120°, then the length of QS, in cm, is –
3
4
5
6
8 . The angle formed by the hour-hand and the minute-hand of a clock at 2 : 15 p.m. is –

A.22$1\over2$°
B.30°
C. 27$1\over2$°
D.45°
a
b
c
d
9 .
16π
32π
64π
256π
10 . The side BC of ∠ ABC is produced to D. If ∠ ACD = 108° and ∠ B = $1\over2$ ∠ A, then ∠ A is
108°
59°
36°
72°