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Q: What is the sum of the greatest three digit number and the smallest four digit number such that their HCF is 23?
  • A. 1998
  • B. 1984
  • C. 2002
  • D. 2001
Correct Answer: Option D - The H.C.F of both the numbers is 23 So, both the numbers will be divisible by 23. The greatest 3-digits number which is divisible by 23 = 989 The smallest 4-digits number which is divisible by 23 = 1012 Sum of both numbers = 989 + 1012 = 2001
D. The H.C.F of both the numbers is 23 So, both the numbers will be divisible by 23. The greatest 3-digits number which is divisible by 23 = 989 The smallest 4-digits number which is divisible by 23 = 1012 Sum of both numbers = 989 + 1012 = 2001

Explanations:

The H.C.F of both the numbers is 23 So, both the numbers will be divisible by 23. The greatest 3-digits number which is divisible by 23 = 989 The smallest 4-digits number which is divisible by 23 = 1012 Sum of both numbers = 989 + 1012 = 2001