Question : Directions: Select the set in which the numbers are not 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.)
(4, 5, 82)
(6, 11, 314)
Option 1: (7, 10, 298)
Option 2: (13, 15, 788)
Option 3: (11, 9, 560)
Option 4: (9, 8, 290)
Correct Answer: (11, 9, 560)
Solution :
Given:
(4, 5, 82); (6, 11, 314)
Here, (4, 5, 82)→((4)
2
+ (5)
2
) × 2 = (16 + 25) × 2 = 41 × 2 = 82
(6, 11, 314)→((6)
2
+ (11)
2
) × 2 = (36 + 121) × 2 = 157 × 2 = 314
Let's check the given options –
First option:
(7, 10, 298); ((7)
2
+ (10)
2
) × 2 = (49 + 100) × 2 = 149 × 2 = 298
Second option:
(13, 15, 788); ((13)
2
+ (15)
2
) × 2 = (169 + 225) × 2 = 394 × 2 = 788
Third option:
(11, 9, 560); ((11)
2
+ (9)
2
) × 2 = (121 + 81) × 2 = 202 × 2 = 404 ≠ 560
Fourth option:
(9, 8, 290); ((9)
2
+ (8)
2
) × 2 = (81 + 64) × 2 = 145 × 2 = 290
So, only the third option does not follow the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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