Quantitative Aptitude - Arithmetic Ability Questions

What is the ratio of simple interest earned on certain amount at the rate of 12% for 6 years and that for 12 years?

The average of three numbers is 40. First number is 4/3 of the third number. If third number is 20 less than second number, then what is the value of second number?

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?

If 1aa2+1 = 3, then the value of a6+1a3 is

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

If tan π/3c + cosec π/6c = x, then x is

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 HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is