Quantitative Aptitude - Arithmetic Ability Questions

In a class, 60% of children like Mathematics, 45% like Science and 25% like both Mathematics and Science. What is the percentage of children who like at least one subject?

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of √(AB2 + AC2)?

If πsinθ= 1, πcosθ= 1, then (3tan 23θ+1) is

The sum of a fraction and 4 times its reciprocal is 13/3. What is the fraction?

A shopkeeper by selling 8 iphones, earns a profit equal to the selling price of 3 iphones. His profit percentage is

The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?

The largest 5 digit number exactly divisible by 89 is:

An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 21⁄2 hours to fill the tank. The leak can drain all the water off the tank in how many hours?