Quantitative Aptitude - Arithmetic Ability Questions

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

Compute : 1112 / 139 - 5

If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?

If a - b = 2 and ab = 15, then what is the value of a3- b3?

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

The ratio of two numbers is 5 : 4. If the sum of both the numbers is 180, then what is the smaller number among both the numbers?

The ratio of two numbers is 5 : 6. If their product is 1470, then what is the sum of both the numbers?