Quantitative Aptitude - Arithmetic Ability Questions

If a-1a=1, then a2 + 1a2 ?

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?