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Select the triad in which the numbers are related to each other in the same way as are the numbers of the given triads. (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 /deleting/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, 9, 96) (14, 7, 84)
(18, 11, 180)
(10, 12, 120)
(15, 8, 130)
(17, 12, 170)
(18, 11, 180)
Calculate (First Number - 4) * Second Number = Third Number. Or simply (A-4)*B=C.
Calculate (First Number - 4) * Second Number = Third Number. Or simply (A-4)*B=C.
Analyze the pattern in given triads
For (12, 9, 96): (12 - 4) = 8. Then, 8 * 9 = 72. Wait, the pattern is (12 * 8) = 96. Let us check (14, 7, 84): (14 * 6) = 84. The multipliers are (Second number - 1). Specifically, (12 * (9-1)) = 96 and (14 * (7-1)) = 84.
Refine the logical rule
The formula is: First Number * (Second Number - 1) = Third Number. Check: 12 * (9 - 1) = 12 * 8 = 96. Check: 14 * (7 - 1) = 14 * 6 = 84.
Evaluate options using the refined rule
Option A: 18 * (11 - 1) = 18 * 10 = 180. Option B: 10 * (12 - 1) = 110 (Not120). Option C: 15 * (8 - 1) = 15 * 7 = 105 (Not130). Option D: 17 * (12 - 1) = 17 * 11 = 187 (Not170).
B: 1011=110 is not 120. C: 157=105 is not 130. D: 17*11=187 is not 170.
A is correct because it follows the established rule First Number * (Second Number - 1) = Third Number, resulting in 18 * 10 = 180.
When triads are given, test for simple multiplicative relations between the numbers first before attempting complex algebraic equations.
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