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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.) (4, 32, 8) (9, 54, 6)
(7, 77, 11)
(9, 106, 12)
(13, 62, 4)
(8, 89, 17)
(7, 77, 11)
Multiply the first number by the third number to check if it equals the middle number, or check if the middle number is a direct multiple of the others.
Multiply the first number by the third number to check if it equals the middle number, or check if the middle number is a direct multiple of the others.
Analyze the given sets
In set (4, 32, 8), the relation is 4 * 8 = 32. In set (9, 54, 6), the relation is 9 * 6 = 54. The middle number is the product of the first and the third numbers.
Test Option A
In (7, 77, 11), calculate the product: 7 * 11 = 77. This matches the middle number 77.
B: 9 * 12 = 108, not 106; C: 13 * 4 = 52, not 62; D: 8 * 17 = 136, not 89.
A is correct because it follows the established rule where the middle number is the product of the first and the third numbers (7 * 11 = 77).
In number set analogies, always test simple arithmetic operations (addition, subtraction, multiplication) between the terms before looking for complex squares or cubes.