Q.16.If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is
(A) 12/13
(B) 5/13
(C) 5/12
(D) 1/5
Q.17.The centroid of a triangle is the point where
(A) the medians meet
(B) the altitudes meet
(C) the right bisectors of the sides of the triangle meet
(D) the bisectors of the angles of the triangle meet
Q.18.A cylindrical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?
(A) 12 cm
(B) 24 cm
(C) 36 cm
(D) 48 cm
Q.19.The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is
(A) 10 m
(B) 10√3m
(C) 60 m
(D) 30 m
Q.20.36 men together can build a wall 140 m long in 21 days ; the number of men working at the same rate required to build the same wall in 14 days is
(A) 54
(B) 48
(C) 36
(D) 18
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