Multiple choice

Directions: In the following question, a number series is given, in which one number is missing. Find out the missing number. 210, 220, 235, 260, 300, ?

  1. 360

  2. 340

  3. 330

  4. 320

  5. 300
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A Correct answer
Explanation

The differences between consecutive terms are: 220-210=10, 235-220=15, 260-235=25, 300-260=40. The differences of these differences are: 15-10=5, 25-15=10, 40-25=15. The next difference should be 20, so the next term difference is 40+20=60. The next number is 300+60=360.

AI explanation

The series follows a pattern of successive additions where the numbers added form a series of triangular numbers. The working is 210 + 10 = 220, 220 + 15 = 235, 235 + 25 = 260 and 260 + 40 = 300. The differences 10, 15, 25 and 40 increase by 5, 10 and 15, so the next difference is 40 + 20 = 60, giving 300 + 60 = 360.

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