What will come at the place of question mark? 4, 10, 22, 46, 94, ?
- (a)190
- (b)191
- (c)192
- (d)196
Answer
Why
Correct — A.
Rule: multiply by 2, then add 2.
4 × 2 + 2 = 10
10 × 2 + 2 = 22
22 × 2 + 2 = 46
46 × 2 + 2 = 94
Next: 94 × 2 + 2 = 190 → option (a).
Why the others are wrong
- (b)191 — 191 is 94 × 2 + 3. The number added is +2 at every step from 4 to 94, so it stays +2.
- (c)192 — 192 is 94 × 2 + 4, or 96 × 2. Neither keeps the rule, which is double the last term plus 2.
- (d)196 — 196 needs a jump of 102 from 94. The jumps double each time, 6, 12, 24, 48, so the next is 96, giving 190.
Concept
When each term is roughly double the one before, test × 2 + c and find the constant c. Here c = 2 at every step.
The differences give a second check. They run 6, 12, 24, 48 and double each time, so the next difference is 96 and 94 + 96 = 190. Two methods landing on the same number is the signal to stop.
4 → 10 also fits × 3 − 2, but that rule turns 10 into 28, not 22. Check a rule against every step before using it.
Key facts
- Rule here: next term = 2 × previous term + 2.
- The differences 6, 12, 24, 48, 96 double each time.
- In any × 2 + c series the differences double, whatever the constant c.
Study next
Common traps
- Fitting × 3 − 2 to the first pair (4 → 10) without testing it on 10 → 22
- Keeping the doubling but misreading the constant as +3 or +4, which gives 191 or 192
The same × 2 + 2 rule is keyed at 15 Sep 2025, 12:30, Reasoning Q.8 (2, 6, 14, 30, 62, ?, keyed 126).
17 Sep 2025, 16:00, Reasoning Q.24 uses × 2 + 1 (3, 7, 15, 31, 63, ?, keyed 127).
Related PYQs
No directly related past PYQ was found.