Quantitative Aptitude - Arithmetic Ability Questions

tan2Asin2Ais equal to

If x -­ y = ­7 and x + y = 13, then x2 - y2 is

A box of 20 items was bought for Rs. 6,400 after a discount of 20%. Find the cost of each item.

In what ratio is the segment joining (-1, 3)and (2,-4) divided by the Y axis?

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cub.cm more. Assuming Π = 22/7, the height of the cylinder is

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

A train travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?

John is 15 years younger than Jill, 12 years ago, Jill's age was 1.5 times that of John. Jill is now ___ years old.