Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, a circle touches the sides of the quadrilateral PQRS. The radius of the circle is 9 cm. RSP = SRQ = 60 deg and PQR = QPS = 120 deg. What is the perimeter (in cm) of the quadrilateral?

In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those studnets who passed in both the subjects ?

The length of the diagonal of a square is 12 cm. Find its area (in cm2).

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?

If Rs. 10000 amounts to Rs. 11664 invested in compound interest(compounded annually) for two years then the annual rate of compound interest is

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

Prahlad has done 1/3rd of a job in 30 days, Sarfaraz completes the rest of the job in 90 days. In how many days can they together do the job?