Quantitative Aptitude - Arithmetic Ability Questions

If r sinθ=3 and r cosθ=1, then the values of r and θ are: (0°⩽θ≤90°)

From point P, at 6 : 30 pm, a train starts moving towards Q with the speed of 40 km/hr. Another train starts moving from point Q at 7:30 p.m. towards point P at the speed of 60 km/hr. Both of them meet at 11:30 p.m. at point R. What is the ratio of PR and QR?

If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is

If PA and PB are two tangents to a circle with centre O such that ∡APB = 80°. Then ∡AOP = 

­ A wooden bowl is in shape of a hollow hemisphere of internal radius 8 cm and thickness 1 cm. Find the total surface area of the bowl?

Pihu and Aayu are running on a circular track of diameter 28m. Speed of Pihu is 48 m/s and that of Aayu is 40 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?

If 2cos2A - 1 = x, then the value of x is

If √20 + √125 = 15.65, then what is the value of √45 + √5?