Question
Select the set in which the numbers are related in the
same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 - operation 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) (16, 12, 112) (10, 8, 36)Solution
The logic followed here is as follows (1st number)² - (2ndnumber)² = 3rd number In (16, 12, 112) → (16² - 12²) = 256 – 144 = 112 In (10, 8, 36) → (10² - 8²) = 100 – 64 = 36 In option [a]: (13, 7, 116) → (13² - 7²) = 169 - 49 = 120 ≠ 116 In option [b]: (16, 14, 62) → (16² - 14²) = 256 - 196 = 60 ≠ 62 In option [c]: (13, 10, 69) → (13² - 10²) = 169 - 100 = 69 = 69 In option [d]: (15, 11, 118) → (15² - 11²) = 225 - 121 = 104 ≠ 118
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