Quantitative Aptitude - Arithmetic Ability Questions

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

Six year ago Parvez’s age was same as the present age of Manish. If the present age of Parvez is one-fourth more than that of Manish's present age, then in how many years will Parvez’s age become double of Manish’s present age?

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A boat covers a distance of 14 km upstream and 16 km downstream in 9 hours. It covers a distance of 12 km upstream and 40 km downstream in 11hours. What is the speed (in km/hr) of the boat in still water?

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

A box consist of 5 rupees, 2 rupees and 1 rupee coins and their value are in the ratio of 15 : 4 : 2 respectively. If there are total 112 coins, then how many 2 rupees coins are there in the box?

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?