Quantitative Aptitude - Arithmetic Ability Questions

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

The value of (2+32-3-342) is

5% more is gained by selling a watch for Rs. 350 than by selling it for Rs. 340. The cost price of the watch is

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

1/3 part of a certain journey is covered with the speed of 25 km/hr, 1/2 part of the journey is covered with the speed of 45 km/hr and the remaining part covered with the speed of 37.5 km/hr. What is the average speed (in km/hr) for the whole journey?

A train 110 metres long is running with a speed of 60 kmph . In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

If secA + tanA = x, then find the value of x.

If √x ­- √y = 1 , √x + √y = 17 then √xy = ?