HCF and LCM – Railway Maths Part Ⅵ

Total Questions: 50

21. A gardener wants to plant trees in a garden in rows. If the number of trees in each row is the same, and there are 105 or 210 or 420 rows, then no tree will be left. Find the least number of trees that can be planted. [RRB NTPC 02/03/2021 (Morning)]

Correct Answer: (b) 420

22. The product of the LCM and HCF of two numbers is 24. The difference between the two numbers is 2. Find the numbers. [RRB NTPC 02/03/2021 (Evening)]

Correct Answer: (c) 4 and 6

23. Find the number which when subtracted from 5824, gives a number exactly divisible by each of 20, 28, 36 and 48. [RRB NTPC 02/03/2021 (Evening)]

Correct Answer: (c) 784

24. If the HCF and LCM of two numbers are 8 and 160 respectively, then the sum of the numbers is: [RRB NTPC 03/03/2021 (Morning)]

Correct Answer: (a) 72

25. The measure of the greatest length which can measure 24 m, 32 m and 42 m completely is: [RRB NTPC 04/03/2021 (Morning)]

Correct Answer: (b) 2 m

26. The sum of two numbers is 434 and their H.C.F is 31. How many pairs of numbers can satisfy the above conditions? [RRB NTPC 04/03/2021 (Morning)]

Correct Answer: (a) 3

27. Find the smallest number that should be added to 166, so that the sum leaves a remainder of 3 on dividing by each of 4, 6, 9 and 15. [RRB NTPC 04/03/2021 (Evening)]

Correct Answer: (c) 17

28. What is the ratio of the L.C.M. and H.C.F. of the numbers 56 and 84? [RRB NTPC 04/03/2021 (Evening)]

Correct Answer: (c) 6 : 1

29. The HCF of two numbers is 4 and their product is 48. Find the numbers. [RRB NTPC 05/03/2021 (Morning)]

Correct Answer: (c) 4, 12

30. The ratio of two numbers is 3 : 4 and their LCM is 180. What is the larger of the two numbers? [RRB NTPC 07/03/2021 (Morning)]

Correct Answer: (c) 60