1. HCF and LCM of two numbers is 9 and 459 respectively. If
one of the numbers is 27, find the other number.
2. Find LCM of the numbers 3 x 5² and 3? x 7.
3. Find the largest number which divides 70 and 125 leaving
remainder 5 and 8 respectively.
4. Two tankers contain 850 liters and 680 liters of petrol. Find
the maximum capacity of a container which can measure
the petrol of each tanker in the exact number of times.
5. Three bells toll at intervals of 9, 12, 15 minutes
respectively. If they start tolling together, after what time
will they next toll together?
6. Prove that v2 is an irrational number.
7. Prove that v3 is an irrational number.
8. Prove that v5 is irrational and hence show that 3 + N5 is
also irrational.
9. Prove that 2 +315 is an irrational number.
