Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
| 17 | 18 | 19 |
| 21 | 22 | ? |
| 396 | 437 | 520 |
Option 1: 30
Option 2: 27
Option 3: 25
Option 4: 28
Correct Answer: 25
Solution : Given:
| 17 | 18 | 19 |
| 21 | 22 | ? |
| 396 | 437 | 520 |
The pattern can be observed running vertically down the columns.
Column 1:
(17 × 21) + (17 + 21) + 1 = 357 + 38 + 1 = 396
Column 2:
(18 × 22) + (18 + 22) + 1 = 396 + 40 + 1 = 437
Column 3:
(19 × (?)) + (19 + (?)) + 1 = 520
⇒ (19 × (?)) + 19 + (?) = 520 – 1
⇒ (19 × (?)) + 19 + (?) = 519
⇒ (19 × (?)) + (?) = 519 – 19 = 500
⇒ (?) × (19 + 1) = 500
⇒ (?) × 20 = 500
⇒ (?) = 500 ÷ 20 = 25
So, 25 is the missing number. Hence, the third option is correct.
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