Quantitative Aptitude - Arithmetic Ability Questions

The total surface area of a hemisphere is 166.32 sq cm, find its curved surface area?

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by3, the number obtained is 5/6. The original rational number is

'P' is the smallest positive integer such that every positive integer N greater than 'P' can be written as a sum of two composite numbers. Then 'P' is

A tap can fill a tank in 20 minutes. If a leakage is capable of emptying the tank in 60 minutes, the tank will be filled in

Average age of 5 students of a school is 14 years. The average age of students and their Mathematics and science teachers is 30 years. If the age of science teacher is 6 years more than the age of Mathematics teacher, then what is the age (in years) of Mathematics teacher?

The square root of 5776 is

ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

If x+5+1x+1=6 then the value of (x+1)3+1(x+1)3 is