If PA and PB are two tangents to a circle with centre O such that ∠APB = 80°, then, ∠AOP = ?

• 40°

• 50°

• ^60°

• 70°

If tan (5x - 10°) = cot (5y + 20°), then the value of (x + y) is

• 15°

• 16°

• 

• 24°

Which one of the following is the minimum value of the sum of two integers whose product is 24?

• 25

• 11

• 8

• 10

The average marks obtained by a class of 60 students is 65. The average marks of half of the students is found to be 85. The average marks of the remaining students is:

• 35

• 45

• 55

• 65

65.

If  then the value of x⁴ + y⁴ - 2x²y² is

• 16

• 20

• 10

• 5

If  then the value of x³ + 5x² + 12x is

• 0

• 3

• 7

• 11

Which of the set of three sides can't form a triangle?

• 5cm, 6cm, 7cm

• 5cm, 8cm, 15 cm

• 8cm, 15cm, 18cm

• 6cm, 7cm, 11cm

AB is the diameter of a circle with centre O and P be a point on its circumference. If ∠POA = 120°, then the value of ∠PBO is

• 30°

• 60°

• 50°

• 40°

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45° and 60°, then the width of the river is

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed
is

• 19 cm

• 21 cm

• 23 cm

• 25 cm