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Select the set in which the numbers are related in the same way as are the numbers of the following sets: (5, 15, 10) (7, 21, 14)
(4, 12, 8)
(6, 15, 9)
(3, 8, 5)
(9, 25, 16)
(4, 12, 8)
Observe the ratio of the numbers in each set; the numbers follow a fixed ratio of x : 3x : 2x, which simplifies to the ratio 1 : 3 : 2.
Observe the ratio of the numbers in each set; the numbers follow a fixed ratio of x : 3x : 2x, which simplifies to the ratio 1 : 3 : 2.
Analyze the given sets
In set (5, 15, 10), the relationship is: 5 * 3 = 15 and 5 * 2 = 10. In set (7, 21, 14), the relationship is: 7 * 3 = 21 and 7 * 2 = 14. The constant multiplier pattern is (x, 3x, 2x).
Verify the correct option
For option A (4, 12, 8): 4 * 3 = 12 and 4 * 2 = 8. This matches the (x, 3x, 2x) pattern perfectly.
B: 6, 15, 9 follows x, 2.5x, 1.5x, which is incorrect. C: 3, 8, 5 does not follow the x, 3x, 2x ratio. D: 9, 25, 16 does not follow the x, 3x, 2x ratio.
A is correct because the numbers in the set follow the fixed pattern of x, 3x, and 2x, which only applies to the set (4, 12, 8).
When faced with triple sets, always check for common factors or simple arithmetic ratios (e.g., doubling, tripling, or sum-difference) first before looking for complex operations.