Quantitative Aptitude - Arithmetic Ability Questions

If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?

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?

The largest 5 digit number exactly divisible by 89 is:

Two cyclists A and B start cycling at 21 km/hr and 24 km/hr towards each other. They meet after 1 hour and 12 minutes. How far (in km) were they from each other when they started?

Ravindra walks at 6 km/hr and Riya cycles at 11 km/hr towards each other. What was the distance between them when they started if they meet after 42 minutes?

A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. x2+ 30x + 81 = 0

II.y2-9y -162 = 0

If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?