Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.)
(12, 15, 18)
(10, 8, 6)
Option 1: (15, 20, 25)
Option 2: (14, 28, 14)
Option 3: (13, 10, 17)
Option 4: (19, 18, 1)
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Correct Answer: (15, 20, 25)
Solution :
Given:
(12, 15, 18); (10, 8, 6)
In the given sets, twice the second number equals the sum of the first and third numbers.
(12, 15, 18)→12 + 18 = 30; 15 × 2 = 30
(10, 8, 6)→10 + 6 = 16; 8 × 2 = 16
Let's check the options –
First option:
(15, 20, 25)→15 + 25 = 40; 20 × 2 = 40
Second option:
(14, 28, 14)→14 + 14 = 28; 28 × 2 = 56 ≠ 28
Third option:
(13, 10, 17)→13 + 17 = 30; 10 × 2 = 20 ≠ 30
Fourth option:
(19, 18, 1)→19 + 1 = 20; 18 × 2 = 36 ≠ 20
So, only the first option, follows the pattern of the given sets. Hence, the first option is correct.
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