a number when divided by 143 leaves remainder 31. when the sames number is divided by 13 what will be the remainder.
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short trick to solve this sum is R1/D2=31/13
REMAINDER=5
REMAINDER=5
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0
Answer:
We know that,
Dividend = Divisor × Quotient + Remainder (by Euclid's division lemma)
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 × 2) + 5
= 13 (11x + 2) + 5
Thus, the remainder will be 5 when the same number is divided by 13.
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