Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
12 15 ?
8 7 11
80 176 240
Option 1: 27
Option 2: 19
Option 3: 22
Option 4: 18
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Correct Answer: 19
Solution :
Given:
12 15 ?
8 7 11
80 176 240
Solve the matrix according to the columns. In each column, the difference between the squares of the first and the second number is equal to the third number.
First column: (12)
2
– (8)
2
= 144 – 64 = 80
Second column: (15)
2
– (7)
2
= 225 – 49 = 176
Similarly, follow the same pattern for the third column: (?)
2
– (11)
2
= 240; (?)
2
= 240 + 121 = 361
(?)
2
= 361; ? = 19
So, the required number is 19. Hence, the second option is correct.
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