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
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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 + 2
2
= 3 + 4 = 7;
7 × 3 – 4
2
= 21 – 16 = 5;
5 × 5 + 6
2
= 25 + 36 = 61;
61 × 7 – 8
2
= 427 – 64 = 363;
363 × 9 + 10
2
= 3267 + 100 = 3367
So, 3367 is the required missing number. Hence, the first option is correct.
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