Solve it Class 5

Akansh

1. Find the least number which when divided by 13, 17, and 19 leaves remainders 5, 9, and 11 respectively.
   
2. Find the least number which when divided by 18, 24, and 30 leaves remainder 7 each time.
   
3. When 625, 1125, and 1375 are divided by a number, they leave the same remainder. Find the greatest such number.
   
4. Find the least number which when divided by 9, 14, and 21 leaves remainders 4, 9, and 16.
   
5. Three numbers 1248, 1872, and 2496 leave the same remainder when divided by a certain number. Find the greatest such number.
   
6. When a number divides 543 and 729, the remainders are 3 and 5 respectively. Find the Greatest number.
   
7. Find the least number which when divided by 20, 28, and 36 leaves remainders 15, 23, and 31.
   
8. Find the least number which when divided by 16, 24, and 40 leaves remainder 8 in each case.
   
9. When 1331, 1661, and 1991 are divided by a number, the remainders are the same. Find the greatest such number.
   
10. A number leaves remainders 4 and 10 when dividing 514 and 802 respectively. Find the greatest  number.

11. Find the square root of 66049.
    
12. Find the square root of 148996.
    
13. Find the square root of 390625.

14. Ravi drank 3/5 litre of juice in the morning and 7/10 litre in the evening. How much juice did he drink in total?
    
15. A rope 9/10 m long is cut into two pieces. One piece is 2/3 m. How long is the other piece?
    
16. A farmer has 5/6 of a field planted with wheat. If he plants 2/5 of it with vegetables, what fraction of the field is vegetables?
    
17. A tank contains 7/8 litres of milk. It is poured equally into bottles of 1/6 litre each. How many bottles are needed?
    
18. A ribbon 4/7 m long is joined with another ribbon 5/14 m. What is the total length?
    
19. A man ate 3/4 kg of sweets from a box containing 5/3 kg. How much is left?
    
20. A piece of cloth 7/8 m long is cut into 1/4 m pieces. How many pieces can be made?
    
21. A liquid 11/12 litre is equally poured into cups of 1/6 litre each. How many cups can be filled?
    
22. A tank contains 3/5 litre of water. Another 2/3 litre is added. What is the total amount of water?
    
23. A cake weighing 5/6 kg is divided equally among 1/8 kg portions. How many portions can be made?

24. Two numbers have an HCF of 10 and LCM of 600. If one number is 50, find the other number.
    
25. The product of two numbers is 2240 and their HCF is 16. Find their LCM.
    
26. Two numbers are such that their LCM is 210 and HCF is 7. One number is 42. Find the other number.
    
27. The HCF of two numbers is 6 and their LCM is 144. If one number is 24, find the other number.
    
28. Two numbers have an HCF of 9 and their product is 729. Find their LCM.
    
29. 45.6 ÷ 1.2
    
30. 125.4 ÷ 3
    
31. 72.5 ÷ 0.5
32. 12.5 × 3.4
    
33. 45.25 × 2.1
    
34. 7.65 × 8.4
    
35. 125.5 × 0.6

36. 45.67 – 12.308
    
37. 100.256 – 75.48
    
38. 500.0 – 348.99
    
39. 85.6 – 29.75

40. 12.45 + 8.67
    
41. 145.6 + 78.35
    
42. 0.75 + 2.89
    
43. 325.47 + 458.53
    
44. 18.9 + 6.45
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