SSC CGL Tier 1 :: QA Test 18
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# SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Free Online Mock Test 18

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Exercise

 "When ambition ends, happiness begins." - (Proverb)
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
10 . The side BC of ∠ ABC is produced to D. If ∠ ACD = 108° and ∠ B = $1\over2$ ∠ A, then ∠ A is