HCF and LCM (Part-2)

Total Questions: 54

11. If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:

Correct Answer: (b)
Solution:

12. The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is: [SSC CPO 05/10/2023 (3rd Shift)]

Correct Answer: (b) 10800
Solution:

13. What is the largest number that divides 627, 15630 and 3128 and leaves remainders of 2, 5 and 3, respectively? [SSC MTS 04/09/2023 (3rd Shift)]

Correct Answer: (c) 625
Solution:

14. The HCF of three numbers is 57. If they are in the ratio of 4 : 5 : 6, then find the numbers. [SSC MTS 05/09/2023 (2nd Shift)]

Correct Answer: (a) 228, 285, 342
Solution:

15. Three numbers are in the ratio 3 : 5 : 7 If their LCM is 2625, find their HCF [SSC MTS 05/09/2023 (3rd Shift)]

Correct Answer: (d) 25
Solution:

16. The largest three-digit number which gives the same remainder 2 when divided by 3, 5 and 9 is________ . [SSC MTS 08/09/2023 (1st Shift)]

Correct Answer: (b) 992
Solution:

17. The HCF of two numbers is 12. Which of the following can never be their LCM? [SSC MTS 12/09/2023 (1st Shift)]

Correct Answer: (b) 74
Solution:

18. The product of two numbers in 4107. If the HCF of these numbers is 37, then the greater number is: [SSC MTS 12/09/2023 (2nd Shift)]

Correct Answer: (a) 111
Solution:

19. The LCM of the two numbers is 1440 and their HCF is 32. If the first number is 288, then find the second number. [SSC MTS 13/09/2023 (2nd Shift)]

Correct Answer: (d) 160
Solution:

20. What is the greatest three-digit number which when divided by 4, 8 and 9, leaves no remainder? [SSC MTS 13/09/2023 (3rd Shift)]

Correct Answer: (d) 936
Solution: