Quantitative Aptitude - Arithmetic Ability Questions

If a3 + b3 = 28 and a + b = 4, then what is the value of ab?

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

Line segment AB is parallel to line segment CD. AD intersects BC in E. If lengths of AE, BC and ED are 12 cm, 12 cm and 18 cm respectively, what is the length of EC?

If a2b+c=b2C+a=a2a+b=1 then 11+a+11+b+11+c is

The number of trees in a town is 17640. If the numbers of trees increases annually at the rate of 5%, then how many trees were there 2 years ago?

In how many years will Rs 2,000 yield Rs 662 as compound interest at 10% per annum compounded annually?

Two baskets together have 640 oranges. If (1/5)th of the oranges in the first basket be taken to the second basket. The number of oranges in the first basket is

Nine years later, age of B will be equal to the present age of A. Sum of A's age 3 years later and B's age 4 years ago is 76. If C is half of the present age of B, then what will be C's age (in years) after 10 years?