Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 18 | 21 | 12 |
| 7 | 15 | 11 |
| 175 | 540 | ? |
Option 1: 273
Option 2: 150
Option 3: 253
Option 4: 303
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Correct Answer: 253
Solution : Add the square of row two with the multiplication of row one and row two, to get the third number –
In column one: 18 × 7 + 7
2
= 126 + 49 = 175
In column two: 21 × 15 + 15
2
= 315 + 225 = 540
Similarly, follow the same pattern in column three →
12 × 11 + 11
2
= 132 + 121 = 253
So, the required missing number in the matrix is 253. Hence, the third option is correct.
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