Find the sum of all those integers between 100 and 800 each of which on division by 16 leaves the remainder 7.

Explanation

To find the sum of all integers between 100 and 800 that leave a remainder of 7 when divided by 16, we can follow these steps:

### Step 1: Identify the first integer greater than 100 that leaves a remainder of 7 when divided by 16.
To find this, we can start by dividing 100 by 16:
\[ 100 \div 16 = 6.25 \quad \text{(which gives a quotient of 6)} \]
Calculating \(16 \times 6 = 96\), we find that:
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