Quantitative Aptitude - Arithmetic Ability Questions

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when ∠ABC = ∠ACB = 75°.

Which of the numbers given below is NOT rational?

What least number must be added to 4131, so that the sum is completely divisible by 19?

If sinA/(1 + cosA) = x, then x is

72% of a number is 90. What is the number?

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

Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.