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Question

In the following question, select the related letters from the given alternatives.

PAN : TDM : : ? : ?

The correct answer is

SIP : WLO

Understanding Letter Analogy Questions

Letter analogy questions test your ability to find the relationship or pattern between a given pair of letters or sets of letters and then apply that same pattern to another set or find a pair that shares the same pattern.

To solve these, we usually look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26) and find the mathematical or logical relationship between the corresponding letters in the first pair. Then, we check which of the given options follows the exact same relationship.

Analyzing the Given Pair: PAN : TDM

Let's break down the relationship between the letters in PAN and TDM by looking at their alphabetical positions.

Letter from PAN Position Letter from TDM Position Difference (TDM - PAN)
P $16$ T $20$ $20 - 16 = +4$
A $1$ D $4$ $4 - 1 = +3$
N $14$ M $13$ $13 - 14 = -1$

The pattern observed between PAN and TDM is a letter shift of +4, +3, and -1 respectively for the first, second, and third letters.

So, the rule is: First Letter +4, Second Letter +3, Third Letter -1.

Testing the Options

Now, let's apply this $+4, +3, -1$ pattern to the first word of each option and see which second word matches the result.

Option 1: GIL : KMG

  • G (7) $+4 \rightarrow$ K (11)
  • I (9) $+3 \rightarrow$ L (12)
  • L (12) $-1 \rightarrow$ K (11)

The derived pair is GIL : KLG. The option given is GIL : KMG. This does not match.

Option 2: HOT : KLG

  • H (8) $+4 \rightarrow$ L (12)
  • O (15) $+3 \rightarrow$ R (18)
  • T (20) $-1 \rightarrow$ S (19)

The derived pair is HOT : LRS. The option given is HOT : KLG. This does not match.

Option 3: MAN : PAM

  • M (13) $+4 \rightarrow$ Q (17)
  • A (1) $+3 \rightarrow$ D (4)
  • N (14) $-1 \rightarrow$ M (13)

The derived pair is MAN : QDM. The option given is MAN : PAM. This does not match.

Option 4: SIP : WLO

  • S (19) $+4 \rightarrow$ W (23)
  • I (9) $+3 \rightarrow$ L (12)
  • P (16) $-1 \rightarrow$ O (15)

The derived pair is SIP : WLO. The option given is SIP : WLO. This matches the pattern.

Conclusion

Option 4, SIP : WLO, follows the exact same $+4, +3, -1$ letter shift pattern as the original pair, PAN : TDM.

Pair First Letter Shift Second Letter Shift Third Letter Shift Pattern Followed?
PAN : TDM $+4$ $+3$ $-1$ Yes (Original Pattern)
GIL : KMG $+4$ $+4$ $-5$ No
HOT : KLG $+3$ $-3$ $-13$ No
MAN : PAM $+3$ $+0$ $-1$ No
SIP : WLO $+4$ $+3$ $-1$ Yes

Revision Table: Letter Analogy Practice

Here’s a quick summary of the letter positions and shifts involved in the correct option.

Word 1 (SIP) Position Shift Word 2 (WLO) Position
S $19$ $+4$ W $23$
I $9$ $+3$ L $12$
P $16$ $-1$ O $15$

Additional Information: Solving Letter Series and Analogy

Letter series and analogy questions are common in reasoning tests. They require identifying patterns, which can be based on:

  • Position in the alphabet (like in this question).
  • Skipping letters in a sequence.
  • Vowel/consonant patterns.
  • Reversing the order of letters.
  • Combination of multiple rules.

Practicing with the alphabetical positions ($A=1, B=2, \ldots, Z=26$) is crucial for quickly solving these types of problems.

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Important Questions from Letter Based

  1. Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.

    PDK : QFN :: SJQ : ?

  2. Select the option that is related to the third term in the same way as the second term is related to the first term.

    FASTER : AEFRST :: KINGDOM : ?

  3. Select the option that is related to the third term in the same way as the second term is related to the first term.

    PRACTISE : ACEIPRST :: TECHNOLOGY : ?

  4. Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter cluster.

    RJB : TGF :: QPG : ?

  5. Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)

    Ant ∶ Antling ∶ ∶  Deer  ?

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