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    • Question : What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 respectively? Option 1: 14 Option 2: 4 Option 3: ...
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    Question : What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 respectively?

    Option 1: 14

    Option 2: 4

    Option 3: 7

    Option 4: 28

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    Team Careers360 17th Jan, 2024
    Answer
    Answer (1)
    Team Careers360 21st Jan, 2024

    Correct Answer: 28


    Solution : The greatest number on dividing 342 and 480 leaves the remainder 6 and 4 respectively is the HCF of (342 - 6 = 336)  and (480 - 4 = 476)
    336 = 28 $\times$ 12
    476 = 28 $\times$ 17
    $\therefore$ HCF (333, 476) is 28.
    Hence, the correct answer is 28.

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