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.)
(21, 225, 9)
(12, 49, 2)
Option 1: (14, 64, 2)
Option 2: (11, 18, 7)
Option 3: (15, 54, 3)
Option 4: (13, 81, 6)
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Correct Answer: (14, 64, 2)
Solution :
Given:
(21, 225, 9); (12, 49, 2)
Find the square of half of the sum of the first and third numbers to obtain the second number –
⇒ (21, 225, 9)→21 + 9 = 30; (30 ÷ 2)
2
= 225
⇒ (12, 49, 2)→12 + 2 = 14; (14 ÷ 2)
2
= 49
Let's check the options –
First option:
(14, 64, 2)→14 + 2 = 16; (16 ÷ 2)
2
= 64
Second option:
(11, 18, 7)→11 + 7 = 18; (18 ÷ 2)
2
= 81 ≠ 18
Third option:
(15, 54, 3)→15 + 3 = 18; (18 ÷ 2)
2
= 81 ≠ 54
Fourth option:
(13, 81, 6)→13 + 6 = 19; (19 ÷ 2)
2
= 90.25 ≠ 81
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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