Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 5 | 7 | 100 |
| 8 | 9 | 181 |
| 11 | 10 | ? |
Option 1: 260
Option 2: 244
Option 3: 255
Option 4: 265
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Correct Answer: 265
Solution : The pattern is as follows –
(First number)2 + (Second number)2 + 2(First number + Second number) + 2 = Third number
First row: (5)2 + (7)2 + 2(5 + 7) + 2 = 25 + 49 + 24 + 2 = 100
Second row: (8)2 + (9)2 + 2(8 + 9) + 2 = 64 + 81 + 34 + 2 = 181
Third row: (11)2 + (10)2 + 2(11 + 10) + 2 = 121 + 100 + 42 + 2 = 265
So, the required number in the third row is 265. Hence, the fourth option is correct.
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