Mixed Quantitative Aptitude Practice

Each interior angle of a regular polygon is 156°. How many sides does the polygon have?

A metallic cuboid of dimensions 12 cm × 8 cm × 6 cm is melted and recast into cubes of side 2 cm each. How many cubes are formed?

A car covers the first one-third of a journey at 20 km/h, the next one-third at 30 km/h and the last one-third at 60 km/h. What is the average speed of the car for the whole journey?

If sec θ + tan θ = 4, what is the value of sec θ - tan θ?

A can complete a piece of work in 15 days and B can complete it in 20 days. They work together for 4 days, after which A leaves and B finishes the remaining work alone. If the total wage for the work is Rs. 6000 and it is shared in proportion to the work done, what is B's share (in Rs.)?

A vessel holds 60 litres of a mixture of milk and water in the ratio 7 : 3. 20 litres of the mixture are taken out and replaced with water. How many more litres of water must now be added so that the ratio of milk to water becomes 1 : 2?

A sum of money doubles itself in 8 years at simple interest. In how many years will it become four times itself at the same rate?

If x - 1/x = 3, what is the value of x^4 + 1/x^4?

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. What is the speed of the boat in still water?

What is the largest number that divides 1657 and 2037 leaving remainders 6 and 5 respectively?