A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Let $ x $ = 296$ q $ + 75
= $\left(37 \times 8q + 37 \times 2\right)$ + 1
= 37 $\left(8 q + 2\right)$ + 1
Thus, when the number is divided by 37, the remainder is 1.
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A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be: |
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