Quantitative Aptitude - Arithmetic Ability Questions

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

What is the value of sin ­7π/4c?

The least number to be added to 13851 to get a number which is divisible by 87 is

For what sum will the simple interest at R% for 2 years will be R?

Determine the value of 1r+1s when r3+s3=0 and r+s=6 ?

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?

What is the value of cosec 5π/3?