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 ?	Choose the correct choice from the following choices.
A) 243  B) 253  C) 312  D) 432  E) None of these
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 it is the answer.   Answer: 253
<result>B</result>
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 ?