Look at this series: 36, 34, 30, 28, 24, … What number should come next?

Numerical & Reasoning Ability ·Previously asked in JKSSB Constable (Executive / Armed / IRP / SDRF) 2017

View the full solved paper: J&K Police Constable 2017

Question

Look at this series: 36, 34, 30, 28, 24, … What number should come next?

  1. A. 20
  2. B. 22 (Correct answer)
  3. C. 23
  4. D. 26

Correct Answer

Option B — 22

Detailed Solution & Explanation

The correct answer is 22.

Key Points

  • Examine the differences: 36 → 34 is −2, 34 → 30 is −4, 30 → 28 is −2, 28 → 24 is −4.
  • The pattern alternates −2, −4, so the next step is −2: 24 − 2 = 22.

Additional Information

  • Always write the row of differences first. A row that repeats signals an alternating series; one that progresses signals a second-order series.
  • A useful cross-check here: the terms pair off as (36, 34), (30, 28), (24, 22), with each pair falling by 6 from the last.
  • The distractor 26 comes from assuming a constant −2 throughout, which fits only half the given terms.

Topics covered: Number Series Reasoning