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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 тАУ 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.) (12, 8, 28) (34, 9, 52)
(62, 11, 84)
(15, 25, 60)
(49, 12, 71)
(54, 13, 70)
(62, 11, 84)
Look for the relationship: (Number 1 + Number 2) * 2 = Number 3. Or simply (12+8)2 = 40 (not 28), so check alternative: (122) + (8/2) = 28. No, the actual pattern is (First + Second) * 2 - (Second) = Third, or simply: First * 2 + Second = Third is incorrect. Correct logic: (12 * 2) + 4 = 28; (34 * 1) + 18 = 52. Let's re-verify: (12+2)*2 = 28, (34+9) is not the link. The correct logic is: (12 * 2) + (8 * 0.5) = 28 is wrong. Correct logic: (12 * 2) + 4 = 28 and (8 / 2) = 4. Logic: First * 2 + (Second / 2) = Third.
Look for the relationship: (Number 1 + Number 2) * 2 = Number 3. Or simply (12+8)2 = 40 (not 28), so check alternative: (122) + (8/2) = 28. No, the actual pattern is (First + Second) * 2 - (Second) = Third, or simply: First * 2 + Second = Third is incorrect. Correct logic: (12 * 2) + 4 = 28; (34 * 1) + 18 = 52. Let's re-verify: (12+2)*2 = 28, (34+9) is not the link. The correct logic is: (12 * 2) + (8 * 0.5) = 28 is wrong. Correct logic: (12 * 2) + 4 = 28 and (8 / 2) = 4. Logic: First * 2 + (Second / 2) = Third.
Analyze the first set (12, 8, 28)
Perform the operation: (First number * 2) + (Second number / 2). Calculation: (12 * 2) + (8 / 2) = 24 + 4 = 28. This matches the third number.
Verify the second set (34, 9, 52)
Applying the same logic: (34 * 2) + (9 ?). Wait, 342 is 68, which is > 52. Let's try (First + Second) + (First - Second) = 2*First. Logic: (12 + 8) + (12 - 4) = 28. Let's try: (12 * 2) + (8 / 2) = 28. (34 + 9) = 43. 52-43=9. Pattern: First + Second + (Second) = 34 + 9 + 9 = 52. Checking first: 12 + 8 + 8 = 28. Matches!
Apply verified pattern (First + 2 * Second) to options
The formula is: First + 2 * Second = Third. Set 1: 12 + 2(8) = 12 + 16 = 28. Set 2: 34 + 2(9) = 34 + 18 = 52. Option A: 62 + 2(11) = 62 + 22 = 84. This matches.
B: 15 + 2(25) = 65, not 60. C: 49 + 2(12) = 73, not 71. D: 54 + 2(13) = 80, not 70.
A is correct because the pattern follows (First + 2 * Second) = Third, which satisfies 62 + 22 = 84.
In number set analogies, always test simple linear combinations (x + y), (2x + y), or (x + 2y) before looking for complex squares or cubes.
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