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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, 216, 6) (17, 408, 8)
(19, 190, 5)
(14, 210, 5)
(8, 86, 12)
(11, 220, 5)
(14, 210, 5)
Identify the relationship: Middle number = Product of the first and third numbers multiplied by a specific constant (or directly First * Third * Constant). Here, the middle number is the product of the first and third multiplied by 3.
Identify the relationship: Middle number = Product of the first and third numbers multiplied by a specific constant (or directly First * Third * Constant). Here, the middle number is the product of the first and third multiplied by 3.
Analyze the given sets
For set 1: (12, 216, 6). Calculate 12 multiplied by 6 which is 72. Then 216 divided by 72 equals 3. So, 12 * 6 * 3 = 216.
Verify with the second set
For set 2: (17, 408, 8). Calculate 17 multiplied by 8 which is 136. Then 408 divided by 136 equals 3. So, 17 * 8 * 3 = 408.
Apply the logic to the correct option
For option B: (14, 210, 5). Calculate 14 multiplied by 5 which is 70. Then 70 multiplied by 3 equals 210. This matches the middle term.
A: 19 * 5 * 3 = 285 (not 190); C: 8 * 12 * 3 = 288 (not 86); D: 11 * 5 * 3 = 165 (not 220).
B is correct because the second number is obtained by multiplying the product of the first and third numbers by 3 (Number 2 = Number 1 * Number 3 * 3).
In number analogy, always check for relationships involving products, squares, or cubes first; if they fail, test common multipliers across all provided sets.
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