Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
?, 11, 35, 107, 323
Option 1: 4
Option 2: 5
Option 3: 8
Option 4: 3
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Correct Answer: 3
Solution :
Given:
?, 11, 35, 107, 323
Here, the pattern is as follows –
(11 × 3) + 2 = 33 + 2 = 35;
(35 × 3) + 2 = 105 + 2 = 107;
(107 × 3) + 2 = 321 + 2 = 323
Let the missing number be A. Now, following the same pattern, we get –
⇒ (A × 3) + 2 = 11
⇒ (A × 3) = 11 – 2
⇒ (A × 3) = 9
⇒ A = 9 ÷ 3
⇒ A = 3
So, 3 is the missing number of the series. Hence, the fourth option is correct.
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