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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