Quantitative Aptitude - Arithmetic Ability Questions

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

The first and last terms of an arithmetic progression are 32 and ­-43. If the sum of the series is ­-88, then it has how many terms?

The number of trees in a town is 17640. If the numbers of trees increases annually at the rate of 5%, then how many trees were there 2 years ago?

The value of cosec260 + sec260 cot260 + tan230 will be

What is the simplified value of sin2(90–θ)–[sin(90–θ)sinθ/tanθ]?

A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio ofspeed of the car to the train is

Let A(O,-1), B(0,3) and C(2,1) be three points. Let   △1 be the area of the triangle ABC and △2 be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A, B and C such that △1=1 ,△2=x Find the value of x .

Two baskets together have 640 oranges. If (1/5)th of the oranges in the first basket be taken to the second basket. The number of oranges in the first basket is