Quantitative Aptitude - Arithmetic Ability Questions

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)?

The value of sec217°-1tan273°-sin17°sec73°

If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?

A box of sweets was distributed between A and B in the ratio 3 :4. If A got 36 sweets , what was the total no.of sweets

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?

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ 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?