Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given set of numbers.
(9, 28, 85)
Option 1: (14, 52, 156)
Option 2: (7, 22, 67)
Option 3: (11, 34, 102)
Option 4: (3, 12, 37)
Correct Answer: (7, 22, 67)
Solution :
Given:
(9, 28, 85)
Add 1 to three times the first number to get the second number, and add 4 to nine times the first number to get the third number.
(9, 28, 85)→(9 × 3) + 1 = 27 + 1 = 28; (9 × 9) + 4 = 81 + 4 = 85
Let's check the options –
First Option:
(14, 52, 156)→(14 × 3) + 1 = 42 + 1 = 43 ≠ 52; (14 × 9) + 4 = 126 + 4 = 130 ≠ 156
Second Option:
(7, 22, 67)→(7 × 3) + 1 = 21 + 1 = 22; (7 × 9) + 4 = 63 + 4 = 67
Third Option:
(11, 34, 102)→(11 × 3) + 1 = 33 + 1 = 34; (11 × 9) + 4 = 99 + 4 = 103 ≠ 102
Fourth Option:
(3, 12, 37)→(3 × 3) + 1 = 9 + 1 = 10 ≠ 12; (3 × 9) + 4 = 27 + 4 = 31 ≠ 37
So, only the second option follows the same logic as the given set of numbers. Hence, the second option is correct.
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