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Which of the following will complete the series ?

EG, IK, NP, .........., AC

  • A.RT
  • B.TV
  • C.SU
  • D.SV

Answer: B

The missing pair is TV.

Each pair is a letter and the letter two places after it: E-G, I-K, N-P. The first letters advance by growing steps, counting positions in the alphabet (A = 1):

\[ \begin{aligned} E(5) &\to I(9): +4 \\ I(9) &\to N(14): +5 \\ N(14) &\to T(20): +6 \\ T(20) &\to A(27 = 1): +7 \end{aligned} \]

So the missing pair starts with T and is TV, and the series then wraps round the alphabet from T past Z to A, giving AC as printed. RT, SU and SV do not fit the +6 step or the two-letter gap.

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