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In the following question, various terms of a letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.

DF, GJ, KM, NQ, RT, ?

  1. UW
  2. YZ
  3. XZ
  4. UX
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If we observe series the first term of series follows the patterns like $+3,+4,+3,+4....$ 

  • $D+3=G$
  • $G+4=K$
  • $K+3=N$
  • $N+4=R$
  • $R+3=U$

while the second terms follow likes $+4,+3,+4,+3...$

  • $F+4=J$
  • $J+3=M$
  • $M+4=Q$
  • $Q+3=T$
  • $T+4=X$

So correct term is UX.

Option $(D)$ is correct.

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$DF, GJ, KM, NQ, RT,$______

  • $D\overset{+2}{\rightarrow} F \overset{+1}{\rightarrow} G$
  • $G\overset{+3}{\rightarrow} J \overset{+1}{\rightarrow} K$
  • $K\overset{+2}{\rightarrow} M \overset{+1}{\rightarrow} N$
  • $N\overset{+3}{\rightarrow} Q \overset{+1}{\rightarrow} R$
  • $R\overset{+2}{\rightarrow} T \overset{+1}{\rightarrow} U$
  • ${\color{Magenta} U} \overset{+3}{\rightarrow} {\color{Magenta} X} \overset{+1}{\rightarrow} Z$

So, the correct answer is $(D).$ 

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