HCF and LCM

Total Questions: 50

41. The LCM of x³ - 27, x² - x - 6, x + 2 is: [SSC MTS 04/11/2024 (Morning)]

Correct Answer: (d) (x - 3)(x + 2)(x² + 3x + 9)
Solution:

42. The product of LCM and HCF of two numbers is 24. If the difference between the two numbers is 2, then find the numbers. [SSC MTS 13/11/2024 (Evening)]

Correct Answer: (b) 6 and 4
Solution:

43. The LCM of 1/6, 4/15, 5/9, 7/27, 8/3 is: [SSC MTS 14/11/2024 (Afternoon)]

Correct Answer: (c)
Solution:

44. The largest number of four digits that is exactly divisible by 17 and 36 is: [SSC CPO 03/10/2023 (1st Shift)]

Correct Answer: (c) 9792
Solution:

45. Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is: [SSC CPO 03/10/2023 (1st Shift)]

Correct Answer: (b) 105
Solution:

46. Find the greatest number which when divides 261, 853 and 1221, leaves a remainder of 5 in each case. [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (c) 16
Solution:

47. Find the LCM of 3/2, 81/16, and 9/8. [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (c)
Solution:

48. Find the greatest possible length. (in metres) that can be used to exactly measure the lengths 6 m, 5 m 25 cm and 12 m 50 cm. [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (d) 0.25 m
Solution:

49. The least number which should be added to 1351 so that the sum is exactly divisible by 2, 4, 6 and 8 is: [SSC CPO 03/10/2023 (3rd Shift)]

Correct Answer: (d) 17
Solution:

50. Let the HCF of m and n be 'a' and let n = ab, LCM of m and n is given by: [SSC CPO 04/10/2023 (1st Shift)]

Correct Answer: (c) bm
Solution: