Quantitative Aptitude - Arithmetic Ability Questions

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

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

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

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

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

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?

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?

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be