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A digital camera has a 20 megapixel resolution and a 32 gigabyte memory card. If a compressed image file requires an average of 1 byte per pixel, then what is the maximum number of photos that can be stored on the memory card? (1 Kilo = 1024)

A1638 ✓ Correct
B819
C409
D732
Correct answer: (A) 1638
Explanation

With 1 kilo as 1024, a 20 megapixel image at 1 byte per pixel is about 20.97 million bytes, and 32 GB holds about 1638 such photos.

A count near 819 would result from halving the correct capacity by mistake.

A count near 409 underestimates the card capacity by a factor of four.

A count near 732 does not match the arithmetic for this card and image size.

Here 32 GB equals 32 times 1024 cubed bytes, divided by 20 times 1024 squared bytes per image.

That division gives 1638.4, so 1638 whole photos can be stored.

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