Match each analogy pattern in List-I with its correct completing term in List-II based on … — State PSC Exam

Match each analogy pattern in List-I with its correct completing term in List-II based on the underlying logical, numerical, or alphabetical relationship.

$14 : 210 :: 18 : ?$ $342$
$\text{BEAK} : \text{GJFP} :: \text{MOLD} : ?$ $\text{RTQI}$
$8 : 504 :: 11 : ?$ $1320$
$\text{BEAR} : \text{YVZI} :: \text{GLAD} : ?$ $\text{TOZW}$

Answer

The correct pairings are:

14 : 210 :: 18 : ?

matches

342

;

\text{BEAK} : \text{GJFP} :: \text{MOLD} : ?

matches

\text{RTQI}

;

8 : 504 :: 11 : ?

matches

1320

; and

\text{BEAR} : \text{YVZI} :: \text{GLAD} : ?

matches

\text{TOZW}

Each analogy pair in List-I uniquely maps to its corresponding term in List-II by applying distinct structural logic:

n : n^2 + n

yields

342

; a forward alphabetical shift of

+5

produces

\text{RTQI}

;

n : n^3 - n

produces

1320

; and reverse alphabet complementation forms

\text{TOZW}

Step-by-Step Solution

Analyze the first numerical analogy

14 : 210 :: 18 : ?

Identify the operation

n \rightarrow n^2 + n

. Calculating for

18

18^2 + 18 = 324 + 18 = 342

Establishes the non-linear multi-step operation relating the terms.

Determine the alphabet shift pattern for

\text{BEAK} : \text{GJFP} :: \text{MOLD} : ?

Each letter undergoes a uniform forward shift of

+5

. Applying to

\text{MOLD}

gives

\text{RTQI}

Decodes the directional letter movement along standard alphabetical positions.

Analyze the second numerical analogy

8 : 504 :: 11 : ?

Identify the cubic operation

n \rightarrow n^3 - n

. Calculating for

11

11^3 - 11 = 1331 - 11 = 1320

Evaluates higher-power numerical relationships.

Determine the complementary letter pairing for

\text{BEAR} : \text{YVZI} :: \text{GLAD} : ?

Replace each letter with its opposite pair from the reverse alphabet sequence (

27 - \text{position}

\text{GLAD}

transforms to

\text{TOZW}

Applies mirror-alphabet symmetry logic.

Key Concept

Multi-step Numerical and Alphabetical Analogy Rules

Estimated Time:2m 0s

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