Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in sq.cm) of the shaded region?

M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2?

56/32 simplified value?

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?

Of the 3 numbers whose average is 22, the first is 3/8th the sum of other 2. What is the first number?

Arrange the fractions 34,512,1316,1629,38 in their ascending order of their magnitude?

Robin can do a work alone in 9 days. Amit can do the same work alone in 6 days. Both of them finish the work together and they get a total Rs 2500. What isthe share (in Rs) of Robin?