Quantitative Aptitude - Arithmetic Ability Questions

If √(1 + cot2A) = x, then the value of x is

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

If the amount received at 10% per annum Compound interest after 3 yrs is Rs 19965, then what will have been the principal (in Rs) amount?

If a+1a2 = 3, then the value of a18+ a12+a6 + 1 is

How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)