Class 10 Maths – RD Sharma Chapter 1: Real Numbers Exercise 1.2 Solution (Step-by-Step Guide)

RD Sharma Chapter 1: Real Numbers Exercise 1.2 Solution

1. Find the HCF of the following pairs of numbers : 32 and 54 Watch Solution
2. Find the HCF of the following pairs of numbers : 18 and 24. Watch Solution
3. Find the HCF of the following pairs of numbers : 70 and 30. Watch Solution
4. Find the HCF of the following pairs of numbers : 56 and 88. Watch Solution
5. Find the HCF of the following pairs of numbers : 475 and 495. Watch Solution
6. Find the HCF of the following pairs of numbers : 75 and 243. Watch Solution
7. Find the HCF of the following pairs of numbers : 240 and 6552. Watch Solution
8. Find the HCF of the following pairs of numbers : 155 and 1385. Watch Solution
9. Find the HCF of the following pairs of numbers : 100 and 190. Watch Solution
10. Find the HCF of the following pairs of numbers : 105 and 120. Watch Solution
11. Use Euclid’s division algorithm to find the HCF of 135 and 225. Watch Solution
12. Use Euclid’s division algorithm to find the HCF of 196 and 38220. Watch Solution
13. Use Euclid’s division algorithm to find the HCF of 867 and 255. Watch Solution
14. Use Euclid’s division algorithm to find the HCF of 184, 230 and 276.Watch Solution
15. Use Euclid’s division algorithm to find the HCF of 136, 170 and 255. Watch Solution
16. Use Euclid’s division algorithm to find the HCF of 1260 and 7344. Watch Solution
17. Use Euclid’s division algorithm to find the HCF of 2048 and 960. Watch Solution
18. Find the HCF of the following pairs of integers and express it as a linear combination of them : 963 and 657. Watch Solution
19. Find the HCF of the following pairs of integers and express it as a linear combination of them : 592 and 252. Watch Solution
20. Find the HCF of the following pairs of integers and express it as a linear combination of them : 506 and 1155. Watch Solution
21. Find the HCF of the following pairs of integers and express it as a linear combination of them : 1288 and 575. Watch Solution
22. Find the largest number which divides 615 and 963 leaving remainder 6 in each case. Watch Solution
23. If the HCF of 408 and 1032 is expressible in the form 1032 m − 408 × 5, find m. Watch Solution
24. If the HCF of 657 and 963 is expressible in the form 657x + 963x – 15, find x. Watch Solution
25. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Watch Solution
26. 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?  Watch Solution
27. 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? Watch Solution
28. 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? Watch Solution
29. Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively. Watch Solution
30. Find the largest number which exactly divides 280 and 1245 leaving remainders 4 and 3 respectively. Watch Solution
31. What is the largest number that divides 626, 3127 and 15628 and leaves remainders of 1, 2 and 3 respectively. Watch Solution
32. Find the greatest number that will divide 445, 572 and 699 leaving remainders 4, 5 and 6 respectively. Watch Solution
33. Find the greatest number which divides 2011 and 2623 leaving remainders 9 and 5 respectively. Watch Solution
34. Using Euclid’s division algorithm, find the largest number that divides 1251 , 9377 and 15628 leaving remainders 1,2 and 3 respectively. Watch Solution
35. Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?  Watch Solution
36. A mason has to fit a bathroom with square marble tiles of the largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required?  Watch Solution
37. 15 pastries and 12 biscuit packets have been donated for a school fete. These are to be packed in several smaller identical boxes with the same number of pastries and biscuit packets in each. How many biscuit packets and how many pastries will each box contain?  Watch Solution
38. 105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. Can you tell how many animals went in each trip?  Watch Solution
39. The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm, respectively. Determine the longest rod which can measure the three dimensions of the room exactly.  Watch Solution
40. Express the HCF of 468 and 222 as 468x + 222y where x, y are integers in two different ways. Watch Solution

1. Real Numbers – R.D. Sharma Class 10th Math

1. Real Numbers Exercise 1.1 Video Solution

2. Real Numbers Exercise 1.2 Video Solution

3. Real Numbers Exercise 1.3 Video Solution

4. Real Numbers Exercise 1.4 Video Solution

5. Real Numbers Exercise 1.5 Video Solution

6. Real Numbers Exercise 1.6 Video Solution

7. Real Numbers Multiple Choice Questions (MCQs) Video Solution Video Solution

8. Real Numbers Fill in the Blanks (FBQs) Video Solution

9. Real Numbers Very Short Answer Questions (VSAQs) Video Solution Video Solution