Quantitative Aptitude - Arithmetic Ability Questions

By increasing the price of entry ticket to a fair in the ratio 7:17, the number of visitors to the fair has decreased in the ratio 9:5. In what ratio has the total collection increased or decreased?

Find the common factor of 3757+ 4357 and 3737+ 4337

If a + b + c = 0 , then the value of a3 + b3+ c3 is

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.

If (cotA - cosecA)2 = x, then the value of x is

For what value of X, 211X will be a perfect square?

A watch shows 6 p.m. where the hour hand points east. In which direction is the minute hand facing when the time is 9.15 p.m?