Question
When a number is divided by 31, the remainder is 28. Find
the remainder when twice the number is divided by 31.Solution
ATQ,
Let the number be:
Number = 31F + 28, where F is an integer.
Twice the number = 2 × (31F + 28) = 62F + 56
Now divide by 31:
(62F + 56) = (62F + 31 + 25)
⇒ Remainder = 25
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