Quantitative Aptitude - Arithmetic Ability Questions

When a number is increased by 216, it becomes 140% of itself. What is the number?

The average of 6 consecutive integers is 15/2. What is the average of last three integers?

Peter belongs to Town A and Paul belongs to Town B. They start their journeys towards each others towns following the same route at the same time. They meet somewhere on the way and continue with their journeys. After meeting Paul, Peter takes another 13.5 hrs to reach his destination while Paul takes another 6hrs to reach Peter's town. If Peter travelled at the speed of 30 kmph, what was Paul's speed in kmph?

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?

A car travelling at an average speed of 72 km/hr takes 9 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 8 minutes?

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?

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

24.97% of 84.01 ÷ 6.995 = ?

If Cos θ = 15/17 , then what is the value of Cosec θ?