Quantitative Aptitude - Arithmetic Ability Questions

What is the value 32cos 39sin 51-sin239 + sin251

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 slope of the line parallel to the line passing through the points (-­4,­-6) and (2,­-3)?

If x + 1x = -2, then the value of x631 + 1x632?

What is the simplified value of (sec4 A – tan2 A) – (tan4 A + sec2 A)?

D and E are the points on the sides AB and AC respectively of a ΔABC and AD = 8 cm, DB = 12 cm, AE= 6 cm and EC = 9 cm, then BC is equal to:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)