Quantitative Aptitude - Arithmetic Ability Questions

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

What is the simplified value of 5 + 45 - 4 + 5 - 45 + 4 ?

What is the value of 6x2 - 5y26x2 + 5y2, if x = 13 and y = 15?

∆ABC is right angled at B. If cosA = 8/17, then what is the value of cotC ?

The curved surface area and the diameter of a right circular cylinder are 660 sq.cm and 21 cm respectively. Find its height (in cm).

If the measure of the interior angle of a regular polygon is 1800, then how many sides does it have?

A train starts from a place A at 8:00 a.m. and arrives at another place B at 1:30 p.m. on the same day. If the speed of the train is 30 km/hr, then what will be the distance (in km) covered by the train?