The series given below contains a sequence of numbers. Accordingly identify the incorrect combination 4 , 5 , 14 , 14 , 34 , 36 , 74 , 68
- (a)74
- (b)34
- (c)36
- (d)68
Answer
Why
Correct — C.
Rule: two series interleaved, each with a doubling difference.
Odd places: 4, 14, 34, 74 → +10, +20, +40 ✓
Even places: 5, 14, 36, 68 → +9, +22, +32 ✗
With +9, +18, +36: 5, 14, 32, 68
So 36 should be 32 → option (c).
Why the others are wrong
- (a)74 — 74 fits the odd-place series 4, 14, 34, 74: the gaps +10, +20, +40 double each time, and 34 + 40 = 74.
- (b)34 — 34 is the third term of the odd-place series, and 14 + 20 = 34 keeps its gaps doubling (+10, +20). It is correct as printed.
- (d)68 — 68 looks wrong only against the printed 36. From the corrected 32, 32 + 36 = 68, so it fits once 36 is fixed.
Concept
When a series zig-zags (4, 5, 14, 14, 34, 36 …), split it into odd-place and even-place terms and treat them as two series.
Here both halves grow by a doubling difference. The odd places go +10, +20, +40 cleanly. In the even places, changing the single term 36 to 32 restores +9, +18, +36 on both sides of it.
Why not 68? Replacing 68 alone would leave 14 → 36, a gap of +22, still broken. Changing 36 to 32 fixes both its gaps, +18 before and +36 after.
Key facts
- Odd places: 4, 14, 34, 74, with gaps +10, +20, +40.
- Even places, corrected: 5, 14, 32, 68, with gaps +9, +18, +36.
- A wrong term spoils the gaps on both sides of it.
Study next
Common traps
- Testing 68 against the printed 36 and marking 68 wrong
- Reading the eight numbers as one series: the gaps +1, +9, 0, +20 hide the two patterns
22 Sep 2025, 09:00, Reasoning Q.25 interleaves a ×3 series (4, 12, 36, 108) with a +3 series (9, 12, 15, 18, 21 once corrected) and keys 16, 323 as the wrong pair.
19 Sep 2025, 16:00, Reasoning Q.25 uses the same incorrect-combination wording on 5, 8, 16, 19, 39, 41, 81, keyed 39, 81.
Related PYQs
No directly related past PYQ was found.