Question
'N' is the largest three-digit number which leaves 5 as a
remainder when divided by 6, 9, and 15. What is the smallest number that needs to be added to 'N' to make it a perfect square?Solution
ATQ,
LCM (6, 9, 15) = 90
90 × 10 = 900
N = 900 + 5 = 905
Next perfect square = 31² = 961
Required number = 961 - 905 = 56
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