Question
A number when divided by 19 leaves a remainder of 14. What will be the remainder when four times that number is divided by 19?
Solution
ATQ,
Let the number be:
Number = 19B + 14, where B is an integer.
Four times the number = 4 × (19B + 14) = 76B + 56
Now divide by 19:
(76B + 56) = (76B + 38 + 18)
⇒ Remainder = 18
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