For the following questions answer them individually
Two pipes P and Q can fill a cistern in 18 and 24 minutes respectively. Both pipes are opened, but after some time, the slower pipe is closed. The cistern gets filled in 12 minutes from the start. When is the slower pipe closed?
The sum of three consecutive odd numbers is 20 more than thefirst of these numbers. Find the largest of these numbers.
Three pipes P, Q and R can fill a tank in 30 minutes, 20 minutes and 10 minutes. When the tank is empty, all three pipes are opened while they discharge three chemical solutions S, T and U respectively. What is the proportion of solution U in the contents in the tank after 3 minutes?
If '$$+$$' means '$$-$$', '$$-$$' means '$$\times$$' and '$$\times$$' means '$$\div$$', then $$15 - 3 + 10 \times 5 + 5 = ?$$
If a chord of length 24 cm is at a distance of 5 cm from centre, then find the radius of the circle.
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