Quantitative Aptitude - Arithmetic Ability Questions

If one-third of a number is 45, then what will be the 45% of that number?

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

Product of digits of a 2-digit number is 15. If we add 18 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

Rohan borrowed a certain sum of money at simple interest. Rate of interest was 3% per annum for first 3 years, 4% per annum for next 5 years and 6% per annum for next 7 years. If he paid Rs 2059 as interest, then what is the sum borrowed (in Rs)?

Determine the value of a2+b2a3+b3 when a = 2+√3 and b = 2-√3.

The length of the diagonal of a square is 10 cm. What is area of this square?

Out of the 60 students of a class, 29 took Mathematics, 32 took Biology and 8 took none of the two subjects. How many students took both Mathematics and Biology?