A vendor purchases lemons at the rate of 15 for ₹20 and sells them at the rate of 12 for ₹24. What is his overall profit percentage?

The greatest common divisor of two integers is 14, and their least common multiple is 6930. If one of the integers is 630, what is the other integer?

A 300-meter long bullet train passes a stationary signal post in 10 seconds. How long will it take for this same train to completely traverse a 1.2-kilometer long tunnel?

Determine the last digit of the numeric value of 3¹²³.

Alice and Bob can complete a software module in 8 days. Bob and Charlie can do it in 12 days, while Alice and Charlie need 24 days. How many days would it take if all three worked together?