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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