Question:

What is missing in the blank below?

\[ \text{PALE}:\text{LEAP}::\ \_ \_ \_ \_ :\text{SHOP} \]

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For word analogy, first identify the exact rearrangement order of letters, then apply the same order to the second word.
  • SOAP
  • PSOH
  • POSH
  • SAOP
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The Correct Option is C

Solution and Explanation

Concept:
This is a letter arrangement analogy. We must find the same rearrangement pattern used in \[ \text{PALE}\rightarrow \text{LEAP} \] and apply it to get \[ \text{SHOP} \]

Step 1: Observe the first pair.
The word \[ \text{PALE} \] has letters in positions: \[ 1=P,\quad 2=A,\quad 3=L,\quad 4=E \] The word \[ \text{LEAP} \] is formed as \[ 3^{rd},\ 4^{th},\ 2^{nd},\ 1^{st} \] because \[ L,\ E,\ A,\ P \]

Step 2: Apply reverse pattern.
We need a word whose rearrangement in the order \[ 3,\ 4,\ 2,\ 1 \] gives \[ \text{SHOP} \] Let the missing word be \[ abcd \] Then according to the pattern, \[ cdba=\text{SHOP} \] So, \[ c=S,\quad d=H,\quad b=O,\quad a=P \] Therefore, \[ abcd=\text{POSH} \]

Step 3: Verify.
Apply the same pattern to POSH: \[ P=1,\quad O=2,\quad S=3,\quad H=4 \] Taking \(3,4,2,1\), we get \[ S,\ H,\ O,\ P \] \[ =\text{SHOP} \]

Step 4: Final answer.
\[ \boxed{\text{POSH}} \]
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