Quantitative Aptitude - Arithmetic Ability Questions

If P/Q = R/S = T/U = 3/4 is (4P + 5R + 7T) : (3Q + 4S + 7U)?

What is the value of 1xp-q+1+1xq-p+1?

Deepanshu lent Rs. 8400 to Jaipal for 15 years and Rs. 5100 to Kareem for 14 years on simple interest at the same rate of interest and received Rs. 17766 in all from both of them as interest. The rate of interest per annum is

A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then what fraction of work is left?

If a-b=1 and a3-b3 = 61, then the value of ab will be

If 4x2= 152- 92, then value of x is

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

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?