HCF and LCM – Railway Maths Part Ⅵ

Total Questions: 50

41. Three containers contain 204, 136 and 119 liters of water respectively. Find the maximum capacity of a small container that can measure the water of each big container an exact number of times. [RRB NTPC 12/03/2021 (Morning)]

Correct Answer: (b) 17 liters

42. If 24 is the LCM of two numbers and the numbers are in the ratio of 1 : 2, then the product of the two numbers is: [RRB NTPC 12/03/2021 (Evening)]

Correct Answer: (d) 288

43. Find the least number, which gives the same remainder 5, when divided by 6, 10, 15 and 24. [RRB NTPC 12/03/2021 (Evening)]

Correct Answer: (c) 125

44. The greatest number, which will divide 39 and 84 to leave remainder 3 in each case, is: [RRB NTPC 13/03/2021 (Morning)]

Correct Answer: (a) 9

45. The HCF of two numbers is 37 and their LCM is 740. If one of the numbers is 148, then the other is: [RRB NTPC 13/03/2021 (Morning)]

Correct Answer: (c) 185

46. The least number which when divided by 9, 16, 20 or 24 leaves 3 as remainder in each case is: [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (c) 723

47. The least square number that is exactly divisible by 4, 5, 8, 16 and 32 is: [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (a) 1600

48. The ratio of two numbers is 3 : 5 and their LCM is 105. What is the difference between the numbers? [RRB NTPC 14/03/2021 (Morning)]

Correct Answer: (c) 14

49. The LCM of two prime numbers x and y (x > y) is 319. The value of 2x − 5y is: [RRB NTPC 14/03/2021 (Evening)]

Correct Answer: (d) 3

50. Find the second term in a sequence of numbers that leaves the remainder 1, 2 and 7 when divided by 2, 3 and 8 respectively. [RRB NTPC 15/03/2021 (Morning)]

Correct Answer: (c) 47