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Question

When a number is divided by 13, the remainder is 6. When the same number is divided by 7, then remainder is 1. What is the number ?
Options:
A .  243
B .  253
C .  312
D .  None of these
Answer: Option B

Answer : Option B

Explanation :

Take 243
243 ÷ 7 = 34, Remainder = 5
Hence this is not the answer
Take 312
312 ÷ 7 = 44, Remainder = 4
Hence this is not the answer
Take 253
253 ÷ 7 = 36, Remainder = 1 .
253 ÷ 13 = 19, Remainder = 6.
This satisfies both the conditions given in the question. Hence this is the answer.



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