Question 17
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A number is multiplied by 11 and 11 is added to the product. If the result is divisible by 13, what is the smallest such natural number?
- A 13
- B 12 Correct
- C 2
- D 11
Correct Answer: Option B
11x + 11 = 11(x + 1)
11 and 13 are co-prime, so 13 must divide x + 1
Smallest x + 1 = 13 → x = 12
Answer: 12
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