Quantitative Aptitude - Arithmetic Ability Questions

PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?

If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?

Reduce 3596 / 4292 to lowest terms.

If (x+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

What is the unit digit of the sum of first 111 whole numbers?

Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m.?

A painter can paint a fence in 24 hours. After 6 hours he takes a break. What fraction of the fence is yet to be painted?

In the first 45 overs of a 50 over innings, the run rate was 5.8 runs per over. What is the required run rate in the remaining overs to reach the target of 295 runs?