Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

What is the area (in sq cm) of a circle whose circumference is 26.4 cm?

The area of an equilateral triangle is 9√3 sq cm, find its perimeter?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

Two numbers are 30% and 37% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

If Gangadhar's salary is 3/11 times of Hari's and Shambhu's is 3/4 times of Hari's, what is the ratio of Gangadhar's salary to Shambhu's?

Raghuram sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 53 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.