Question : Directions: Select the set in which the numbers are related in the same way 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.)
(2, 8, 36)
(4, 9, 25)
Option 1: (14, 18, 9)
Option 2: (13, 20, 49)
Option 3: (21, 15, 35)
Option 4: (12, 14, 26)
Correct Answer: (13, 20, 49)
Solution :
Given:
(2, 8, 36); (4, 9, 25)
Here, (2, 8, 36)→(8 – 2)
2
= (6)
2
= 36
(4, 9, 25)→(9 – 4)
2
= (5)
2
= 25
Let's check the options –
First option:
(14, 18, 9)→(18 – 14)
2
= (4)
2
= 16 ≠ 9
Second option:
(13, 20, 49)→(20 – 13)
2
= (7)
2
= 49
Third option:
(21, 15, 35)→(21 – 15)
2
= (6)
2
= 36 ≠ 35
Fourth option:
(12, 14, 26)→(14 – 12)
2
= (2)
2
= 4 ≠ 26
So, only the second option follows the pattern followed by the given sets. Hence, the second option is correct.
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