1. A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of

third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity.

What should be the greatest capacity of such a tin?

2. Largest square tile that fits 10ft × 8ft bathroom is of side:

3. The product of two consecutive positive integers is always divisible by:

4. If oil in 120, 180, and 240 litres is filled in tins equally, each tin must hold:

5. If a and b are two odd positive integers such that a > b, then one of (a + b)/2 and (a – b)/2 is:

6. The square of an odd integer is always of the form:

7. If a number is of the form 6q+5, then it is also of the form:

8. If a number is of the form 6q+5, then it is also of the form:

9. HCF of 32 and 54 is:

10. HCF of 475 and 495 is:

11. For any positive integer n, n³ – n is divisible by:

12. 144 cartons of Coke Cans and 90 cartons of Pepsi Cans are to be stacked in a Canteen. If

each stack is of the same height and is to contain cartons of the same drink, what would be

the greatest number of cartons each stack would have?

13. The product of three consecutive integers is divisible by:

14. Number of animals in one trip if 105 goats, 140 donkeys, and 175 cows must be equally taken:

15. Largest number dividing 445, 572, 699 leaving 4, 5, 6 is:

16. Greatest number dividing 2011 and 2623 leaving 9 and 5 is:

17. Length of rod that measures 825, 675, and 450 cm exactly is:

18. The square of a number of the form 5q+1 is:

19. Greatest number dividing 285 and 1249 leaving remainders 9 and 7 is:

20. During a sale, colour pencils were being sold in packs of 24 each and crayons in packs of

32 each. If you want full packs of both and the same number of pencils and crayons, how

many of each would you need to buy?