Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC measure of angle B is 90 deg. If cosA = 5/13, and AB = 10 cm, then what is the length (in cm) of side BC?

The selling price of an article is 8/5th of its cost price. Then the gain percentage is

What is the value of (cos45° + 1/3) ?

The value of -261+(-380)-(-521)+821-(-121)

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

Working 5 hours a day, Shivam can read a book in 24 days. How many hours a day should he work so as to finish the same work in 8 days?

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?