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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


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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