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The greatest number of 3 digits that is exactly divisible by each 10, 12, 15 and 20 is:1. 9962. 9993. 9004. 960 |
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Answer» Correct Answer - Option 4 : 960 Given: The number is 10, 12, 15 and 20 Concept used: The greatest number of 3 digits is 999. Calculation: LCM of 10, 12, 15 and 20 10 = 2 × 5 12 = 22 × 3 15 = 3 × 5 20 = 22 × 5 LCM = 22 × 3 × 5 = 60 The greatest number of 3 digits = 999 ⇒ 999 ÷ 60 ⇒ Remainder = 39 ⇒ 3 digit greatest numbers = 999 - 39 = 960 ∴ The greatest number of 3 digits is 960. |
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