What comes next? 2, 4, 3, 6, 4, 8, ?
- (a)5
- (b)6
- (c)9
- (d)10
Answer
Why
Correct — A.
Rule: two series woven together: odd places +1, even places +2.
Odd places (1st, 3rd, 5th): 2, 3, 4
Even places (2nd, 4th, 6th): 4, 6, 8
The blank is the 7th term, an odd place, so it continues 2, 3, 4: 5 → option (a).
Read as pairs, the series is n, 2n: (2, 4), (3, 6), (4, 8), then (5, 10).
Why the others are wrong
- (b)6 — 6 repeats the previous drop of 2 (6 → 4). The drops grow, 4 → 3 is −1 and 6 → 4 is −2, so the next is −3: 8 − 3 = 5.
- (c)9 — 9 adds 1 to the last term, 8. The +1 steps belong to the odd-place terms 2, 3, 4, and 8 sits in the even-place series.
- (d)10 — 10 continues the even-place series 4, 6, 8, but that is the 8th term. The blank is the 7th, one place earlier.
Concept
A series that rises and falls in turn may be two series woven together. Split it by position and read each strand on its own.
Here the odd places count up by 1 and the even places by 2, which is the same as saying each even term is double the term before it. Once you know which strand the blank belongs to, the answer is one step away.
The series also reads as alternating operations: ×2, −1, ×2, −2, ×2, −3. That reading gives 8 − 3 = 5 as well, a useful cross-check.
Key facts
- Odd places: 2, 3, 4, 5, rising by 1.
- Even places: 4, 6, 8, rising by 2.
- Each even-place term is twice the term before it.
Study next
Common traps
- Continuing the even-place strand and answering 10 for the 7th term
- Repeating the previous drop of 2 and answering 6
Here the blank falls on an odd place, so the slower strand decides it.
12 Sep 2025, 09:00, Reasoning Q.8 weaves two +4 strands, 3, 12, 7, 16, 11, 20, 15, ?, and keys 24 from the even places. 18 Sep 2024, 12:30, Reasoning Q.14 weaves a +5 strand with a +10 strand and keys 35.
Related PYQs
No directly related past PYQ was found.