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Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.)
(6, 8, 106)
(7, 11, 177)

Option 1: (8, 7, 119)

Option 2: (9, 8, 154)

Option 3: (5, 9, 101)

Option 4: (7, 9, 136)


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: (9, 8, 154)


Solution : Given:
(6, 8, 106); (7, 11, 177)

Like, (6, 8, 106)→(6) 2 + (8) 2 + 6 = 36 + 64 + 6 = 106
(7, 11, 177)→(7) 2 + (11) 2 + 7 = 49 + 121 + 7 = 177

Let's check the options –
First option: (8, 7, 119)→(8) 2 + (7) 2 + 8 = 64 + 49 + 8 = 121 ≠ 119
Second option: (9, 8, 154)→(9) 2 + (8) 2 + 9 = 81 + 64 + 9 = 154
Third option: (5, 9, 101)→(5) 2 + (9) 2 + 5 = 25 + 81 + 5 = 111 ≠ 101
Fourth option: (7, 9, 136)→(7) 2 + (9) 2 + 7 = 49 + 81 + 7 = 147 ≠ 136

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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