Question
Find the remainder obtained when 34 × 46 × 52 is
divided by 25.Solution
Remainder obtained when 34 × 46 × 52 is divided by 25 will be equal to the product of remainders obtained when 34, 46, and 52 are divided individually by 25.
Therefore,
34 ÷ 25 → remainder = 9
46 ÷ 25 → remainder = 21
52 ÷ 25 → remainder = 2
So, required remainder = 9 × 21 × 2 = 378
Now, 378 ÷ 25 leaves remainder = 3 . So, required remainder is 3 .
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