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.
Related Questions
Question :  Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 14 | 12 | 336 | 
| 15 | 18 | 540 | 
| 16 | ? | 416 | 
Option 1: 13
Option 2: 12
Option 3: 11
Option 4: 14
Question :  Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 40 | 57 | 285 | 
| 35 | 32 | 140 | 
| ? | 40 | 175 | 
Option 1: 38
Option 2: 36
Option 3: 39
Option 4: 35
Question :  Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 121 | 64 | 144 | 
| 27 | ? | 8 | 
| 14 | 12 | 14 | 
Option 1: 64
Option 2: 49
Option 3: 56
Option 4: 72
Question :  Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 4 | 8 | 128 | 
| 3 | 9 | 108 | 
| 5 | 10 | ? | 
Option 1: 236
Option 2: 205
Option 3: 225
Option 4: 220
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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