Quantitative Aptitude - Arithmetic Ability Questions

Expand and simplify (x + 5)2 + (x - 3)2

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

The sum of two numbers is 25 and sum of their square is 313. Calculate the numbers.

There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest of Rs 25000 after 2 years at the same rate?

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)

Incentre of Δ ABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠AIC is

When a number is divided by 63 the remainder is obtained as 26. What will be the remainder when the number is divided by 3?