Quantitative Aptitude - Arithmetic Ability Questions

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

If a number is reduced by 35%, then it becomes 416. By how much percent should the number be increased so that it become 876.8?

If 3(2 - 3x) < 2 - 3x ≥ 4x -6; then x can take which of the following values?

A shop keeper cheats to the extent of 10% while buying and selling fruits, by using tampered weights. His total gain, in %, is:

Determine the largest 4 digit number which is a perfect square.

Find the number of prime factor of 20790.

Two pipes, when working one at a time can fill a cistern in 2 hrs and 3 hrs, respectively while a third pipe can drain the cistern empty in 6 hrs. All the three pipes were opened together when the cistern was 1/6 full. How long will it take for the cistern to be completely full?

ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?