Question

Find the next number in the series 210, 195, 175, 150, 120, ?

• A. 85
• B. 95
• C. 80
• D. 100

Answer 1

The Correct Option is A

To determine the next number in the series 210, 195, 175, 150, 120, we should first identify the pattern or rule of progression between the numbers.

1. Calculate the difference between consecutive terms.
   195 - 210 = -15
   175 - 195 = -20
   150 - 175 = -25
   120 - 150 = -30
2. Observe the differences: -15, -20, -25, -30.
   The differences form an arithmetic sequence where each term decreases by 5.
3. Following this pattern, the next difference should be -30 - 5 = -35.
4. Apply this difference to the last number in the series:
   120 - 35 = 85
5. Thus, the next number in the series is 85.

Therefore, the correct answer is 85.