Quantitative Aptitude - Arithmetic Ability Questions

If p3 - q3 = (p - q) ( (p - q)2 + x p q ) then value of x is

Vinay professes to lose 4% on sugar and uses a weight of 620 gm instead of 1 kg. What is the total profit percentage?

The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:

If x/y = 2/3, then what is the ratio of (3x + 2y) and (3x – y)?

The marked price of a shirt is twice of the cost price. To earn a gain of 25%, what should be the discount percentage?

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°?

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?