Quantitative Aptitude - Arithmetic Ability Questions

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

A superfast Duronto express running at 90 kmph overtakes a bike running at 36 kmph in 25 seconds. What is the length of the train in meters?

The total surface area of a hemisphere is 166.32 sq cm, find its radius?

In an exam, the avarage marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was

If x2 + y2 + 6x + 5 = 4(x - y) then x - y is

How many numbers divisible by 125 can be written by using all the digits 2,3,8,7,5 exactly once?

The four sides of a quadrilateral are in the ratio of 2:3:4:5 and its perimeter is 280m. The length of the longest side is

The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: π = 22/7)