Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – 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, 17, 408) (13, 27, 1404)
Option 1: (9, 27, 245)
Option 2: (17, 28, 952)
Option 3: (5, 82, 1200)
Option 4: (4, 26, 416)
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Correct Answer: (4, 26, 416)
Solution : Given: (6, 17, 408); (13, 27, 1404)
Multiply the first and the second numbers and then multiply the resultant by four to get the third number of the triad. (6, 17, 408)→6 × 17 = 102; 102 × 4 = 408 (13, 27, 1404)→13 × 27 = 351; 351 × 4 = 1404
Let's check each option – First option: (9, 27, 245)→9 × 27 = 243; 243 × 4 = 972 ≠ 245 Second option: (17, 28, 952)→17 × 28 = 476; 476 × 4 = 1904 ≠ 952 Third option: (5, 82, 1200)→5 × 82 = 410; 410 × 4 = 1640 ≠ 1200 Fourth option: (4, 26, 416)→4 × 26 = 104; 104 × 4 = 416
So, only the fourth option follows the same pattern as the given sets. Hence, the fourth option is correct.
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