Quantitative Aptitude - Arithmetic Ability Questions

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

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

Select the odd word/letters/number/number pair from the given alternatives.

If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° – sin 20° sin 25° )]?

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

Find the odd numbers/letters/numbers from the given alternatives.

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?