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A certain number when successively divided by 8 and 11 leaves remainder 3 and 7
respectively. Find the remainder if the same number is divided by 88.
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- 57
- 51
- 59
- 61
Correct Option: C
It is to be noted that 88= 8 × 11
Here, d1 = 8, d2 = 11, r1 = 3, r2 = 7.
Where d1, d2 are divisors and r1 and r2 are respective remainders.
∴ Required remainder = d1r2 + r1
= 8 × 7 + 3 = 56 + 3 = 59
