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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. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (6,12,48)(8,16,64)
(15, 30, 130)
(5, 30, 120)
(15, 30, 120)
(15, 40, 120)
(15, 30, 120)
Identify the relationship: The third number is the product of the first and second numbers multiplied by a specific coefficient (or directly, the third number divided by the product of the first two equals a constant). Here, 12 * 4 = 48 (first * 8) or more simply, (12/6) * 24 = 48. Actually: First * 2 = Second, Second * 4 = Third.
Identify the relationship: The third number is the product of the first and second numbers multiplied by a specific coefficient (or directly, the third number divided by the product of the first two equals a constant). Here, 12 * 4 = 48 (first * 8) or more simply, (12/6) * 24 = 48. Actually: First * 2 = Second, Second * 4 = Third.
Analyze the given sets
Look at the pattern: Set 1 is (6, 12, 48). First number * 2 = Second number (6 * 2 = 12). Second number * 4 = Third number (12 * 4 = 48). Let's verify with Set 2 (8, 16, 64): 8 * 2 = 16 and 16 * 4 = 64. The pattern is (x, 2x, 8x).
Evaluate the options based on the pattern (x, 2x, 8x)
Option A: (15, 30, 130) тЖТ 152=30, but 304=120, not 130. Option B: (5, 30, 120) тЖТ 56=30. Incorrect. Option C: (15, 30, 120) тЖТ 152=30, 304=120. This matches the pattern (x, 2x, 8x). Option D: (15, 40, 120) тЖТ 152.66=40. Incorrect.
A: 30 * 4 = 120, not 130. B: 5 * 2 = 10, not 30. D: 15 * 2 = 30, not 40.
C is correct because the set (15, 30, 120) follows the identified pattern where the second number is double the first and the third is four times the second (15 * 2 = 30; 30 * 4 = 120).
When looking at number triplets, always check the ratio between the first two numbers and the last two numbers; if the multiplier is constant (like 2 and 4 here), the logic is usually robust.
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