Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 8 | 7 | 224 |
| 11 | 13 | 572 |
| 12 | 15 | ? |
Option 1: 360
Option 2: 720
Option 3: 456
Option 4: 320
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Correct Answer: 720
Solution : In a row of the given table, find the square of the sum of the first and second numbers and the square of the difference between the first and second numbers and then subtract both the resultant numbers to obtain the third number.
In the first row→(8 + 7)
2
– (8 – 7)
2
= (15)
2
– (1)
2
= 225 – 1 = 224
In the second row→(11 + 13)
2
– (11 – 13)
2
= (24)
2
– (–2)
2
= 576 – 4 = 572
Similarly, in the third row→
(12 + 15)
2
– (12 – 15)
2
= (27)
2
– (–3)
2
= 729 – 9 = 720
So, 720 is the missing number in the given figure. Hence, the second option is correct.
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