HCF and LCM (Part-2)

Total Questions: 54

31. The least number which when divided by 14, 18 and 36 and leaves 1 as remainder in each case is: [SSC MTS 16/05/2023 (Morning)]

Correct Answer: (c) 253
Solution:

32. What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24 and 36? [SSC MTS 13/06/2023 (Afternoon)]

Correct Answer: (c) 6:1
Solution:

33. What is the least number of students in a class such that they can make rows of 10, 15 and 20 and also the total number of students is a perfect square? [SSC MTS 15/06/2023 (Morning)]

Correct Answer: (c) 900
Solution:

34. What is the HCF of 513 and 1017? [SSC MTS 16/06/2023 (Evening)]

Correct Answer: (c) 9
Solution:

35. The Least Common Multiple of three different numbers is 40. Which of the following cannot be their Highest Common Factor? [SSC MTS 19/06/2023 (Morning)]

Correct Answer: (b) 25
Solution:

Facter of 40 = 2 × 2 × 2 × 5
By the option 25 never be the HCF

36. What is the smallest perfect square which is divisible by both 8 and 12? [SSC MTS 20/06/2023 (Afternoon)]

Correct Answer: (b) 144
Solution:

37. The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are: [SSC CGL Tier II (02/03/2023)]

Correct Answer: (d) 2
Solution:

38. Calculate the HCF of 12/5, 14/15, & 16/17 [SSC CGL 03/12/2022 (1st Shift)]

Correct Answer: (c)
Solution:

39. Choose the correct statement from the following. [SSC CGL 06/12/2022 (2nd Shift)]

Correct Answer: (b) HCF of two or more numbers is the highest number which perfectly divides all the given numbers.
Solution:

40. The least common multiple of a and b is 42. The LCM of 5a and 11b is: [SSC CPO 09/11/2022 (Morning)]

Correct Answer: (a) 2310
Solution: