Quantitative Aptitude - Arithmetic Ability Questions

Two pipes A and B can fill an empty cistern in 18 and 27 hours, respectively. Pipe C can drain the entire cistern in 45 hours when no other pipe is in operation. Initially, when the cistern was empty Pipe A and Pipe C were turned on. After a few Pipe A was turned off and Pipe B was turned on instantly. In all, it took 55 hours to fill the cistern. For how many hours was Pipe B turned on?

A path of 2.5 m width surrounds a rectangular garden of length 10 m and breadth 8 m. Area of the garden, inclusive of the path is

The value of 14 ÷ 5 of 2 - 3 x 47 - 2 is

The angle of elevation of an aeroplane as observed from a point 30 m above the transparent water-surface of a lake is 30° and the angle of depression of the image of the aeroplane in the water of the lake is 60°. The height of the aeroplane from the water-surface of the lake is

A natural number, when divided by 4, 5, 6 or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

Amit is five years older than Vaibhav at present. After four years the ratio of their age will be 5:4. What is Amit age at present (in years)?

When a number is divided by 63 the remainder is obtained as 26. What will be the remainder when the number is divided by 3?

If sin 30° + cos 45° = X, then the value of X.