Question:

What is missing in the blank below?

\[ \text{BAT},\ \text{EDW},\ \text{IHA},\ \_ \_ \_ \_ \]

Show Hint

When letters cross \(Z\), continue cyclically from \(A\).
  • NMG
  • MNF
  • NME
  • NMF
Show Solution
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The Correct Option is D

Solution and Explanation

Concept:
We compare the first, second and third letters separately.

Step 1: First letters.
\[ B,\ E,\ I,\ _ _ _ _ \] Alphabet positions are \[ 2,\ 5,\ 9,\ _ _ _ _ \] Differences are \[ +3,\ +4 \] So the next difference is \(+5\): \[ 9+5=14 \] The \(14^{th}\) letter is \[ N \]

Step 2: Second letters.
\[ A,\ D,\ H,\ _ _ _ _ \] Positions are \[ 1,\ 4,\ 8,\ _ _ _ _ \] Differences are \[ +3,\ +4 \] Next difference is \(+5\): \[ 8+5=13 \] The \(13^{th}\) letter is \[ M \]

Step 3: Third letters.
\[ T,\ W,\ A,\ _ _ _ _ \] Using cyclic alphabet order: \[ T+3=W \] \[ W+4=A \] So next is \[ A+5=F \]

Step 4: Final answer.
Thus the missing group is \[ \boxed{\text{NMF}} \]
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