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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 114 of 200

Q114
ArithmeticNumber Series & Progressions
Direction: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and answer on the OMR Answer Sheet by filling the circle. 2, 8, 18, 32, 50, ?
  1. a.60
  2. b.66
  3. c.72
  4. d.82

Answer: (C) 72

The terms are $2n^2$: 2 × 1, 2 × 4, 2 × 9, 2 × 16, 2 × 25, so the next is 2 × 36 = 72. The differences 6, 10, 14, 18 also grow by 4, giving 50 + 22 = 72.