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

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 –

A. 30 m

B. 40 m

C. 25 m

D. 45 m

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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–

A. 1

B. -1

C. 2

D. 0

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3 .

The least value of $2sin^2$ Ø + $3cos^2$ Ø is –

A. 1

B. 2

C. 3

D. 5

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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 –

A. 72°

B. 68°

C. 70°

D. 80°

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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 –

A. 60°

B. 30°

C. 120°

D. 90°

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6 .

If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of nis –

A. 5

B. 6

C. 8

D. 10

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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 –

A. 3

B. 4

C. 5

D. 6

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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. a

B. b

C. c

D. d

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9 .

A. 16π

B. 32π

C. 64π

D. 256π

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10 .

The side BC of ∠ ABC is produced to D. If ∠ ACD = 108° and ∠ B = $1\over2$ ∠ A, then ∠ A is

A. 108°

B. 59°

C. 36°

D. 72°

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