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100 Questions 100 Marks 90 Mins
Given, The given numbers are 2, 3, 4 and 6. Concept: The smallest four-digit number is 1000. Calculation: LCM of 2, 3, 4 and 6 = 2 × 2 × 3 = 12 When we divide 1000 by 12 we get 4 as the remainder. The smallest four-digit number which is divisible by 2, 3, 4 and 6 is = 1000 – 4 + 12 = 1008 The smallest four-digit number which when divided by 2, 3, 4 and 6 leaves remainder 1 in each case = 1008 + 1 = 1009 ∴ The number will be 1009.
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What is the smallest 4 digit number which when divided by 6 8 and 9 leaves remainder 5 in each case?
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