ssc cgl tier 1 :: quantitative aptitude :: qa test 18

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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 â€“
30 m
40 m
25 m
45 m View Answer Discuss in Forum

2 .If A and B are complementary angles, then the value of sin A cos B + cos A sin B â€“ tan A tan B + $sec^2$ A â€“ $cot^2$ B isâ€“
1
-1
2
0 View Answer Discuss in Forum

3 .The least value of $2sin^2$ Ã˜ + $3cos^2$ Ã˜ is â€“
1
2
3
5 View Answer Discuss in Forum

4 .A, O, B are three points on a line segment and C is a point not lying on AOB. If âˆ AOC = 40Â° and OX, OY are the internal and external bisectors of âˆ  AOC respectively, then âˆ  BOY is â€“
72Â°
68Â°
70Â°
80Â° View Answer Discuss in Forum

5 .Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If âˆ AOP = 60Â°, then âˆ APB is â€“
60Â°
30Â°
120Â°
90Â° View Answer Discuss in Forum

6 .If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of nis â€“
5
6
8
10 View Answer Discuss in Forum

7 .If the length of the side PQ of the rhombus PQRS is 6 cm and âˆ  PQR = 120Â°, then the length of QS, in cm, is â€“
3
4
5
6 View Answer Discuss in Forum

8 .The angle formed by the hour-hand and the minute-hand of a clock at 2 : 15 p.m. is â€“

A.22$1\over2$Â°
B.30Â°
C. 27$1\over2$Â°
D.45Â°
a
b
c
d View Answer Discuss in Forum

9 .
16Ï€
32Ï€
64Ï€
256Ï€ View Answer Discuss in Forum

10 .The side BC of âˆ  ABC is produced to D. If âˆ  ACD = 108Â° and âˆ  B = $1\over2$ âˆ  A, then âˆ  A is
108Â°
59Â°
36Â°
72Â° View Answer Discuss in Forum ssc online