Quantitative Aptitude - Arithmetic Ability Questions

Find two numbers such that their mean proportion is 16 and third proportion is 1024.

ΔDEF is similar to ΔGHI. Length of DE is 9 cm and length of the corresponding side GH is 16 cm. What is the ratio of areas of Δ DEF : Δ GHI?

What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

21.003 × 39.998 –209.91 = 126× ?

The area of a rectangle is 120 sq cm and its perimeter 140 cm. What is the length of its diagonal?

If {12(a-b)}2+ab=p(a+b)2, then the value of p is 

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?

The area of a square is 40.5 cm². Find the length of its diagonal (in cm).

The flight fare between two cities is increased in the ratio 9:11. What is the increase (in Rs) in the fare, if the original fare was Rs. 18,000?