Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E. g 13 – operations on 13 such as adding/subtracting multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(2, 7, 81)
(5, 6,121)
Option 1: (7, 5, 134)
Option 2: (5, 4,100)
Option 3: (6, 2, 36)
Option 4: (6, 7,169)
Correct Answer: (6, 7,169)
Solution :
Given:
(2, 7, 81); (5, 6,121)
Add the first and second numbers and square the resultant, to get the third number –
⇒ (2, 7, 81)→(2 + 7)
2
= 81
⇒ (5, 6,121)→(5 + 6)
2
= 121
Let's check each option –
First option:
(7, 5,134)→(7 + 5)
2
= 144 ≠ 134
Second option:
(5, 4,100)→(5 + 4)
2
= 81 ≠ 100
Third option:
(6, 2, 36)→(6 + 2)
2
= 64 ≠ 36
Fourth option:
(6, 7,169)→(6 + 7)
2
= 169
So, only the fourth option follows the same pattern as the given pair. Hence, the fourth option is correct.
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