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Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
3, 7, 5, 61, 363 ?

Option 1: 3367

Option 2: 3348

Option 3: 3630

Option 4: 3267


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: 3367


Solution : Given:
3, 7, 5, 61, 363, ?

Multiply numbers by odd numbers and add and subtract the square of even numbers alternatively, to get the required missing number –
3 × 1 + 22 = 3 + 4 = 7;
7 × 3 – 42 = 21 – 16 = 5;
5 × 5 + 62 = 25 + 36 = 61;
61 × 7 – 82 = 427 – 64 = 363;
363 × 9 + 102 = 3267 + 100 = 3367

So, 3367 is the required missing number. Hence, the first option is correct.

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