Question
A number ‘N’ is the greatest 3-digit number which
gives a remainder of 2 when divided by 7, 10, and 12. Find the minimum number to be added to it to make it a perfect square.Solution
ATQ,
LCM (7, 10, 12) = 420
420 × 2 = 840 (largest 3-digit multiple)
N = 840 + 2 = 842
Next perfect square = 30² = 900
Required number = 900 - 842 = 58
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