Quantitative Aptitude - Arithmetic Ability Questions

What value of 'p' will satisfy the equation p540 = 240p ?

CAlculate : 72-6-45÷5-72-2×2÷2+2

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

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

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

A line cuts the x­axis at the point (­3,0) and the y­axis at the point (0,6). What is the equation of the line?

Neeraj purchased a few shirts for his shop at cost prices ranging from Rs. 400 to Rs. 550 and sold at prices ranging from Rs. 450 to Rs. 650. What is the maximum profit that might be made in selling 10 shirts?