Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
| 4 | 5 | 8 |
| 3 | 12 | ? |
| 5 | 13 | 17 |
Option 1: 15
Option 2: 12
Option 3: 13
Option 4: 9
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Correct Answer: 15
Solution : Subtract the square of the number of row three from the square of row one and then find the square root of the resultant to get the number in the second row.
In column one:
(5)
2
– (4)
2
= 25 – 16 = 9; √(9) = 3
In column two:
(13)
2
– (5)
2
= 169 – 25 = 144; √(144) = 12
In column three:
(17)
2
– (8)
2
= 289 – 64 = 225; √(225) = 15
So, 15 is the missing number. Hence, the first option is correct.
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