Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.) (6, 12, 3) (10, 20, 5)
A.(14, 21, 7)✓ Correct
B.(14, 28, 7)
C.(14, 28, 9)
D.(21, 28, 7)
Explanation
In (6,12,3): 12/6=2 and 6/3=2, or pattern: middle = first×2, third = first÷2. For (6,12,3): 6×2=12, 6÷2=3. Applying to options: (14,28,7): 14×2=28 ✓, 14÷2=7 ✓. Answer is (14,21,7)? Let me recheck: 6÷3=2=12÷6. So ratio first:third = 2:1 and second:first = 2:1. In (14,21,7): 14/7=2 ✓, 21/14=1.5 ✗. In (14,28,7): 14/7=2 ✓, 28/14=2 ✓. Answer is (c) (14,28,7).
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