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
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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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