A number when divided by 5 and 3 leaves remainders of 3 and 1, respectively. Find the smallest such 3 digit number.
A number when divided by 5 and 3 leaves remainders of 3 and 1, respectively. Find the smallest such 3 digit number.
Option 1 -
101
Option 2 -
103
Option 3 -
118
Option 4 -
None of these
Asked by Shiksha User
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1 Answer
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Correct Option - 2
Detailed Solution:(b):Notice that the difference between the divisors and the remainder is constant. Therefore take the LCM of the divisors or any multiple of the LCM and subtract.
The difference between the divisor and the remainder
which is 2 in this case.
Therefore, the smallest 3 digit number
= 15 * 7? 2 = 105 – 2 = 103
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