Quantitative Aptitude - Arithmetic Ability Questions

A boat covers a distance of 14 km upstream and 16 km downstream in 9 hours. It covers a distance of 12 km upstream and 40 km downstream in 11hours. What is the speed (in km/hr) of the boat in still water?

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

Calculate the simple interest if Rs. 1800 is invested for 10 years at a rate of 5% per annum.

A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

In a triangle PQR, ∠Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?

ΔABC and ΔDEF are two similar triangles and the perimeter of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If length of DE = 36 cm, then length of AB is

Determine the value of ‘r’ for which the equation 13x + 5 = rx + 18 has no solution.