The series given below contains a sequence of numbers. Accordingly identify the incorrect combination. 5, 8, 16, 19, 39, 41, 81
- (a)16, 39
- (b)16, 41
- (c)39, 81
- (d)41, 81
Answer
Why
Correct — C.
Rule: alternate + 3 and × 2.
5 + 3 = 8 ✓
8 × 2 = 16 ✓
16 + 3 = 19 ✓
19 × 2 = 38, not 39 ✗
38 + 3 = 41 ✓
41 × 2 = 82, not 81 ✗
The wrong pair is 39, 81 → option (c).
Why the others are wrong
- (a)16, 39 — 16 is 8 × 2, on the rule. This pair catches 39 but misses 81, which should be 41 × 2 = 82.
- (b)16, 41 — 16 and 41 both fit: 16 = 8 × 2 and 41 = 38 + 3. Neither printed error, 39 or 81, is in this pair.
- (d)41, 81 — 41 is right: it is 38 + 3. It only looks wrong beside the printed 39, since 39 + 3 = 42.
Concept
In a wrong-term item, find the rule from the terms that agree, then test each term against it. Here the steps alternate, + 3 then × 2, giving 5, 8, 16, 19, 38, 41, 82.
Test each term against the corrected value before it. 41 fails against the printed 39 (39 + 3 = 42) but fits the rule's 38, so 39 and 81 are the wrong terms.
The pair format means both wrong terms must be found. Stopping at 39 still leaves (a) and (c) in play.
Key facts
- Corrected series: 5, 8, 16, 19, 38, 41, 82.
- + 3 on the 1st, 3rd and 5th steps, × 2 on the 2nd, 4th and 6th.
- A wrong term can make its neighbour look wrong, so compare against the rule, not the printed neighbour.
Study next
Common traps
- Marking 41 wrong because 39 + 3 = 42, when the check must use 38
- Stopping at the first wrong term and choosing a pair that holds only 39
19 Sep 2025, 09:00, Reasoning Q.25 asks for the same 'incorrect combination' pair: 3, 12, 48, 194, 768, 3074 on a × 4 rule, keyed 194, 3074 (d).
Related PYQs
No directly related past PYQ was found.