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. 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.)
(12, 313, 13)
(11, 185, 8)
Option 1: (12, 158, 12)
Option 2: (4, 125, 11)
Option 3: (9, 90, 3)
Option 4: (15, 150, 10)
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Correct Answer: (9, 90, 3)
Solution :
Given:
(12, 313, 13), (11, 185, 8)
Add the square of the first and the third number to get the second number of the triad.
(12, 313, 13)→12² – 144; 13² – 169; 144 + 169 = 313
(11, 185, 8)→11² – 121; 8² – 64; 121 + 64 = 185
Let's check each option –
First option:
(12, 158, 12)→12² – 144; 12² – 144; 144 + 144 = 288
≠ 158
Second option:
(4, 125, 11)→4² – 16; 11² – 121; 16 + 121 = 137
≠ 125
Third option:
(9, 90, 3)→9² – 81; 3² – 9; 81 + 9 = 90
Fourth option:
(15, 150, 10)→15² – 225; 10² – 100; 225 + 100 = 325
≠150
So, only the third option follows the same pattern. Hence, the third option is correct.
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