Quantitative Aptitude - Arithmetic Ability Questions

If a.sin 45°.cos 45°.tan60° = tan 245° ­ cos60° then find the value of a ?

Find the odd words/letter/number from the given alternatives:

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.

If 2x- ­2(x ­- 2) < 5 ­- x > ­-2x + 2; then the value of x is

If √x ­- √y = 1 , √x + √y = 17 then √xy = ?

The least number that must be substracted from 63520 to make the result a perfect square is

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

A man engaged a servant on a condition that he would pay him Rs. 80 and a pair of jeans after service of one year. Servant served for only 9 months and receives a pair of jeans and an amount of Rs. 55. The price of the jeans is ________.