Find the term which doesn't fit into the series given below:
H4Q, K10N, N20K, Q43H, T90E
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → K10N
Letter pattern:
-
First letters increase by +3: H → K → N → Q → T
-
Last letters decrease by −3: Q → N → K → H → E
Pattern in the numbers
The numbers follow the rule:
aₙ = 2 × aₙ₋₁ + (n − 1), where n is the term position.
where n is the term position.
a₁ = 4
a₂ = 2 × 4 + 1 = 9 (but the series shows 10, which breaks the pattern)
Continuing with the correct rule:
a₃ = 2 × 9 + 2 = 20
a₄ = 2 × 20 + 3 = 43
a₅ = 2 × 43 + 4 = 90
Thus, the second term should contain 9, not 10.
Conclusion: K10N breaks the numerical pattern while all other parts of the series follow the rule.
Note: The answer has been kept as Option 2 (K10N) in accordance with the official NTA answer key. However, the question contains a degree of ambiguity because the numerical pattern is not immediately evident and requires identifying a specific recursive relationship between the numbers which may allow for alternative interpretations