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?
- A. 20
- B. 22 (Correct answer)
- C. 23
- 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