QuantProblem Solving

Free GMAT Problem Solving Practice Question

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A factory produces 60 toys every 4 hours. At this rate, how many toys does the factory produce in 12 hours?

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Answer & Explanation

Correct answer

D

Set up the rate, then scale it to the new time. The factory makes 60 toys in 4 hours, and 12 hours is 12 ÷ 4 = 3 times as long, so 60 × 3 = 180 toys. (Equivalently, the hourly rate is 60 ÷ 4 = 15, and 15 × 12 = 180.) The answer is D.

15 is the per-hour rate reported on its own, stopping one step early without scaling to 12 hours. 20 divides the base by the time factor (60 ÷ 3) instead of multiplying, the right factor of 3 applied in the wrong direction. 60 simply repeats the stem's number without applying the rate to the longer period. 720 multiplies 60 by all 12 hours, ignoring that 60 toys already covers a 4-hour block, so the factor should be 12 ÷ 4 = 3, not 12.