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Select the set, from the given options, 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.) (6,13,78)(5,22,110)
(24,9,206)
(7,13,90)
(8,19,162)
(8,12,96)
(8,12,96)
In each given set (A, B, C), the product of the first two numbers multiplied by 2 or another constant does not match. Instead, check the relation: C = A * B + (something)? Or check sum/difference. For (6, 13, 78): 6 * 13 = 78 exactly! For (5, 22, 110): 5 * 22 = 110 exactly! Thus, the rule is simply First Number * Second Number = Third Number.
In each given set (A, B, C), the product of the first two numbers multiplied by 2 or another constant does not match. Instead, check the relation: C = A * B + (something)? Or check sum/difference. For (6, 13, 78): 6 * 13 = 78 exactly! For (5, 22, 110): 5 * 22 = 110 exactly! Thus, the rule is simply First Number * Second Number = Third Number.
Analyze First Given Set (6, 13, 78)
Multiply the first number by the second number: 6 multiplied by 13 equals 78, which is the third number.
Analyze Second Given Set (5, 22, 110)
Multiply the first number by the second number: 5 multiplied by 22 equals 110, which matches the third number.
Test Option D (8, 12, 96)
Multiply the first number by the second number: 8 multiplied by 12 equals 96, matching the third number in the set exactly.
A: 24 x 9 = 216!= 206, B: 7 x 13 = 91!= 90, C: 8 x 19 = 152!= 162
D is correct because the product of the first two numbers in the set equals the third number (8 x 12 = 96), following the exact same rule as the given sample sets.
Always test basic arithmetic operations (addition, subtraction, multiplication, and squares) between the first two numbers before looking for complex combined formulas.