Quantitative Aptitude - Arithmetic Ability Questions

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).

In an isosceles triangle ABC, AB = AC, XY || BC. If ∡A = 30, then ∡BXY =

ΔGHI is similar to ΔKLM. If the ratio of Perimeter of Δ GHI : Perimeter of ΔKLM = 1:4, and length of GH is 2 cm, what is the length of the corresponding side KL?

If x = 313- 3-13, then 3x2 + 9xis equal to

If a + b = 10 and ab = 24, then the value of a3 + b3 is

A, B and C can finish a job working alone in 72, 24 and 36 days respectively. In how many days they can finish the job if they worked together?