Quantitative Aptitude - Arithmetic Ability Questions

The sum of a fraction and 7 times its reciprocal is 11/2. What is the fraction?

Mahesh buys a watch of Rs 300 and sells it. Mahesh gives two successive discount of 15% and 6% to the buyer. What will be the selling price (in Rs) ofthe watch?

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at Rs 1,46,205, then find the value of machine at the start of the first year.

If a taxi going at 40 km/hr takes 25 minutes to travel a certain distance, by how much should it increase its speed (in km/hr) to travel the same distance in 20 minutes?

Rehman goes on a trip on his motor-cycle and rides for 661 kms. If he rides for 8 hours at a speed of 31 km/hr, find at what speed he travels for the remaining 7 hours of the journey?

Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?

A closed wooden rectangular box made of 1 cm thick wood has the following outer dimensions : length 22 cm, breadth 17 cm, and height 12cm. It is filled to capacity with cement. What is the volume of the cement in the box?

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?