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    Question

    When a number is divided by 12, it leaves a remainder 5.

    When the same number is divided by 18, it leaves a remainder 11. What is the smallest such number?
    A 33 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 29 Correct Answer Incorrect Answer
    D 21 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the number be N Given: N leaves remainder 5 when divided by 12 So, N = 12a + 5 Also, N leaves remainder 11 when divided by 18 So, N = 18b + 11 Now check options: 23 á 12 leaves remainder 11, not 5 29 á 12 leaves remainder 5 29 á 18 leaves remainder 11 So, 29 satisfies both conditions. Hence, the correct answer is 29.

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