Question : Directions: Select the missing number from the given responses.
| 121 | 81 | 49 |
| 100 | 64 | 36 |
| 15 | 16 | 25 |
| ? | 31 | 41 |
Option 1: 11
Option 2: 29
Option 3: 24
Option 4: 15
Correct Answer: 29
Solution : Given:
| 121 | 81 | 49 |
| 100 | 64 | 36 |
| 15 | 16 | 25 |
| ? | 31 | 41 |
The pattern is running horizontally along the rows.
Row 1:
[(121 + 49) ÷ 2] – 4 = [170 ÷ 2] – 4 = 85 – 4 = 81
Row 2:
[(100 + 36) ÷ 2] – 4 = [136 ÷ 2] – 4 = 68 – 4 = 64
Row 3:
[(15 + 25) ÷ 2] – 4 = [40 ÷ 2] – 4 = 20 – 4 = 16
Row 4:
[((?) + 41) ÷ 2] – 4 = 31
⇒ [((?) + 41) ÷ 2] = 31 + 4
⇒ ((?) + 41) ÷ 2 = 35
⇒ (?) + 41 = 35 × 2
⇒ (?) + 41 = 70
⇒ (?) = 70 – 41
⇒ (?) = 29
So, 29 is the missing number. Hence, the second option is correct.
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