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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.) (8, 4, 12) (18, 9, 27)
(20, 12, 36)
(24, 12, 34)
(24, 12, 36)
(24, 14, 36)
(24, 12, 36)
Identify the relationship: The third number is the first number multiplied by the second number divided by a constant, or more simply: (First number / 2) * 3 = Third number. In both examples: (8 / 2) * 3 = 12 and (18 / 2) * 3 = 27.
Identify the relationship: The third number is the first number multiplied by the second number divided by a constant, or more simply: (First number / 2) * 3 = Third number. In both examples: (8 / 2) * 3 = 12 and (18 / 2) * 3 = 27.
Analyze Set 1
Given the set (8, 4, 12). Observe: 8 divided by 2 is 4, and 4 multiplied by 3 is 12. Alternatively: (8 * 4) / (8/3) is not consistent, but (First/2)*3 = Third holds: (8/2)*3 = 12.
Validate with Set 2
Given the set (18, 9, 27). Testing the rule: (18 / 2) = 9. Then 9 * 3 = 27. The rule (First/2)*3 = Third is verified.
Apply to Option C
For (24, 12, 36): First number is 24. 24 / 2 = 12 (Second number). 12 * 3 = 36 (Third number). This matches the pattern perfectly.
A: (20, 12, 36) тЖТ 20/2=10, 103=30 (not 36). B: (24, 12, 34) тЖТ 24/2=12, 123=36 (not 34). D: (24, 14, 36) тЖТ 24/2=12 (not 14).
C is correct because the pattern follows the rule (First Number / 2) * 3 = Third Number, which is satisfied by (24 / 2) * 3 = 36.
Always check for simple arithmetic relationships like multipliers and divisors before looking for squares or cubes in number analogy questions.
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