Quantitative Aptitude - Arithmetic Ability Questions

A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

The point equidistant from the vertices of a triangle is called its

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

If 9/4th of 7/2 of a number is 126, then 7/2th of that number is _____.