Question : Directions: Select the set in which the numbers are related similarly to the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.)
(4, 3, 16)
(6, 4, 28)
Option 1: (5, 2, 49)
Option 2: (8, 2, 20)
Option 3: (8, 1, 18)
Option 4: (3, 2, 12)
Correct Answer: (8, 2, 20)
Solution :
Given:
(4, 3, 16); (6, 4, 28)
Add 4 to the product of the first and the second numbers to get the third number in the given set of numbers –
(4, 3, 16)→4 × 3 = 12; 12 + 4 = 16
(6, 4, 28)→6 × 4 = 24; 24 + 4 = 28
Let's check the options –
First option:
(5, 2, 49)→5 × 2 = 10; 10 + 4 = 14 ≠ 49
Second option:
(8, 2, 20)→8 × 2 = 16; 16 + 4 = 20
Third option:
(8, 1, 18)→8 × 1 = 8; 8 + 4 = 12 ≠ 18
Fourth option:
(3, 2, 12)→3 × 2 = 6; 6 + 4 = 10 ≠ 12
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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