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Q: What is the greatest number of 4 digits which is divisible by 32, 40, 36 and 48?
  • A. 9220
  • B. 8820
  • C. 8640
  • D. 9120
Correct Answer: Option C - LCM of 32, 40, 36 and 48 = 32×9×5 = 1440 The greatest number of 4-digits = 1440 k Putting k = 6, Note:- If the value of k is taken as the integer greater than 6, the 5 digits number will be obtained. ∴ The greatest number of 4–digits = 1440 x 6 = 8640
C. LCM of 32, 40, 36 and 48 = 32×9×5 = 1440 The greatest number of 4-digits = 1440 k Putting k = 6, Note:- If the value of k is taken as the integer greater than 6, the 5 digits number will be obtained. ∴ The greatest number of 4–digits = 1440 x 6 = 8640

Explanations:

LCM of 32, 40, 36 and 48 = 32×9×5 = 1440 The greatest number of 4-digits = 1440 k Putting k = 6, Note:- If the value of k is taken as the integer greater than 6, the 5 digits number will be obtained. ∴ The greatest number of 4–digits = 1440 x 6 = 8640