Find the least number, which is divided by 9, 11, 13
leaves the remainder 1,2, 3 respectively .
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Answer:
1279
Step-by-step explanation:
9-1= 8
11-3= 8
13-5 = 8
so, required number is LCM( 9,11,13)-8
= 1287-8
= 1279
verification:1279/9= remainder=1
1279/11= remainder= 3
1279/13= remainder= 5
therefore it is clear that 1279 is the smallest number which when divided by 9,11,13 leaves 1,3,5 as the respective remainders
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