Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

In how many months will Rs 8,000 yield Rs 2,648 as compound interest at 20% per annum compounded semi-annually?

In the following question, four number pairs are given. The number on left side of (–) is related to the number of 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.

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

What is the value of tan 1° tan 2° tan 3°....... tan 89°?

What is the value of Cot 60°- Sec 45°?

A man can row upstream at 12 km/hr and downstream at 18 km/hr. The man's rowing speed in still water is

The income of X is 60% more than Y’s income and the income of Y is 40% more than Z’s income. X’s income is how much percentage more than Z’s income?