Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, from the point P two tangents PA and PB are drawn to a circle with centre Oand radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord ABis 5 cm, then what is the value (in deg) of COD?

What is the fourth proportional to 6, 24 and 83?

Select the odd number from the given alternatives.

Select the odd word/letters/number/number pair from the given alternatives.

If tan π/3c + cosec π/6c = x, then x is

An octahedron has 6 vertices. How many edges does it have?

A man covered a certain distance by a train running at the speed of 50 km/hr and covers the same distance back by walking at the speed of 5 km/hr. Ifthe whole journey took 5 hours 30 minutes, then what was the distance (in km) of one side?

Rameshwar goes on a trip on his motor-cycle and rides for 405 kms. If he rides for 6 hours at a speed of 45 km/hr, find at what speed he travels for the remaining 3 hours of the journey?