The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.3 , 12 , 48 , 194 , 768 , 3074
- (a)12, 194
- (b)768, 3074
- (c)48 , 194
- (d)194, 3074
Answer
Why
Correct — D.
Rule: each term is the previous one × 4.
3 × 4 = 12 ✓
12 × 4 = 48 ✓
48 × 4 = 192, not 194 ✗
192 × 4 = 768 ✓
768 × 4 = 3072, not 3074 ✗
The wrong pair is 194, 3074 → option (d).
Why the others are wrong
- (a)12, 194 — 12 is exactly 3 × 4, on the rule. This pair catches 194 but not 3074, which should be 3072.
- (b)768, 3074 — 768 is right: it is 192 × 4, and 48 × 16. It only looks wrong beside the printed 194, since 194 × 4 = 776.
- (c)48 , 194 — 48 is 12 × 4, on the rule. This pair catches 194 but misses 3074, which should be 3072.
Concept
In a wrong-term item, find the rule from the terms that agree, then test every term against it. Here the correct series is 3, 12, 48, 192, 768, 3072, each term four times the last.
Test each term against the corrected value before it, not the printed one. 768 fails against the printed 194 (194 × 4 = 776) but fits the rule's 192.
Ratios show the break fast: 12 ÷ 3 and 48 ÷ 12 are exactly 4, while 194 ÷ 48 and 3074 ÷ 768 both come out just over 4.
Key facts
- The × 4 series from 3 runs 3, 12, 48, 192, 768, 3072.
- 768 = 48 × 16, two × 4 steps from 48, which confirms 768 and exposes 194.
- A wrong term can make its neighbour look wrong, so compare against the rule, not the printed neighbour.
Study next
Common traps
- Marking 768 wrong because 194 × 4 = 776, when the check must use 192
- Stopping at the first wrong term and picking a pair that holds only 194
Reasoning Q.6 in this shift asks for a single wrong number: 336, 246, 166, 94, 36, −14, keyed 94, since falls of 90, 80 and then 70 give 96.
17 Sep 2025, 16:00, Reasoning Q.25 uses the same 'incorrect combination' wording for one number: 25, 29, 37, 53, 87, keyed 87, since + 4, + 8, + 16 and then + 32 give 85.
Related PYQs
No directly related past PYQ was found.