Math Problems

Q1. There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen?

Q2. Find the side of the largest possible square slabs which can be paved on a floor of a room 2 m 50 cm long and 1 m 50 cm broad. Also, find the number of such slabs to pave the floor.

Q3. Find the greatest number that will divide 690,875 and 1050 leaving remainders 10,25 and 30 respectively.

Q4. Find the least number which when divided separately by 15,20,36 and 48 leaves 3 as remainder in each case.

Q5. Find the largest 4- digit number exactly divisible by each of the numbers 12,15,18 and 27.

Q6. Find the smallest 4-digit number which is divisible by 8,18 and 24.

Q7. Jiya, Reena and Armaan were each given a piece of Ribbon of equal length. Jiya cuts her ribbon into equal lengths 30 cm, Reena cuts her ribbon into equal lengths of 48 cm and Armaan cuts his ribbons into equal lengths of 56 cm. If there was no remainder in all these cases, find the shortest possible length of ribbon given to them?

Q8. In a firing range, 4 shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hit the target once in every 5 s,6 s,7 s and 8 s respectively. If all of them hit their target at 9 a.m., when will they hit their target together again?