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)]?

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

If three numbers are in the ratio 2 : 3 : 5 and the twice their sum is 100. Find the square of the largest of the three numbers.

If x+1x ≠0 and x3+1x3 = 0, then the value of x+1x4 is :

If (4x - 3) = (3x + 8), then the numerical value of(x + 1)3  is

The least number which when divides 37044, gives the result a perfect cube, is:

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

The length of the diagonal of a square is 10 cm. What is area of this square?