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Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
365, 364, 355, 330, 281, ?

Option 1: 280

Option 2: 200 

Option 3: 180 

Option 4: 120 


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 200


Solution : Given:
365, 364, 355, 330, 281, ?

Subtract the square of consecutive odd numbers from the previous term to get the next term of the series –
365 – 1 2 = 365 – 1 = 364;
364 – 3 2 = 364 – 9 = 355;
355 – 5 2 = 355 – 25 = 330;
330 – 7 2 = 330 – 49 = 281;
281 – 9 2 = 281 – 81 = 200

So, the missing number of the series is 200. Hence, the second option is correct.

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