6. What is the least number which when divided by 15, 18
& 21 leaves remainders 2,5 & 8 respectively?
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Answer:
Since the difference between the divisors and the respective remainders is same, i.e., 15 – 2 = 18 – 5 = 21 – 8 = 13, The required number = LCM of (15, 18, 21) – 13 = (3 × 5 × 6 × 7) – 13 = 630 – 13 = 617.
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Answer:
the least number which is divided by 15 and 18 is the LCM or 15 and 18 = 90
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