Question:
A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13?
(a) 0
(b) 1
(c) 3
(d) 5
Solution:
(d) 5
We know,
Dividend = Divisor
It is given that:
Divisor = 143
Remainder = 13
So, the given number is in the form of 143x + 31, where x is the quotient.
∴ 143x + 31 = 13 (11x) + (13
Thus, the remainder will be 5 when the same number is divided by 13.
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