Quantitative Aptitude - Arithmetic Ability Questions

Δ DEF is right angled at E. If m∠D = 30°, what is the length of DE (in cm), if EF = 6√3 cm?

From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is

∆ABC is right angled at B. If m∠A = 30°., then Sec C =?

If in the population of a town there is an increase of 44% in the first year and 75% in the second year, then what is the average rate of increase in the population?

How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?

The costs of daily ticket of local train is Rs 130 and Monthly Pass costs Rs 3091.40. If I buy the Monthly Pass and travel for 29 days in a month than I save (in percentage)?

In ΔABC measure of angle B is 900. If cotA = 8/15, and AB = 0.8cm, then what is the length (in cm) of side BC?

If tan 45° + cosec 30° = x, then find the value of x.