If it is 7:00 pm currently in the clock, what will the clock show (in am or pm) after 674 hours?

Current time is 7:00 PM. Need to find the time after 674 hours.

Every 24 hours, the clock returns to the same time. The remainder when dividing 674 by 24 determines the time change.

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Divide 674 by 24:

$674 \div 24 = 28$ remainder $2$

$24 \times 28 = 672$

$674 - 672 = 2$

So 674 hours = 28 complete days + 2 hours.

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After 28 complete days (672 hours), the clock shows the same time: 7:00 PM.

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Add the remaining 2 hours to the current time:

$7:00 \text{ PM} + 2 \text{ hours} = 9:00 \text{ PM}$

Therefore, the clock will show 9:00 PM.