Quantitative Aptitude - Arithmetic Ability Questions

Two cars A and B travel from one city to another, at speeds of 72 km/hr and 90 km/hr respectively. If car B takes 1 hour lesser than car A for the journey, then what is the distance (in km) between the two cities?

If cosC + cosD = x, then value of x is

4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age ?

The ratio of present ages of P and Q is 7:9. Before 10 years the ratio of their ages was 5:7. What is Q's present age (in years)?

If 40% of x = y, then y% of 40 is same as _____ of x.

The entry ticket at a fun park was increased in the ratio 7 : 9, due to which footfalls fell in the ratio 13 : 11. What is the new daily collection (in Rs), if the daily collection before the price hike was Rs 2,27,500?

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

When a number is increased by 24, it becomes 115% of itself. What is the number?