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Question

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

PQRS : QSUW : : ABCD : ?

The correct answer is

BDFH

This question asks us to find the relationship between the first pair of letters (PQRS and QSUW) and apply that same relationship to the third term (ABCD) to find the fourth term.

Understanding the Letter Analogy Pattern

Let's look at the position of each letter in the English alphabet to find the pattern connecting PQRS to QSUW.

Original Letters Positions Resulting Letters Positions Shift
P 16 Q 17 $+1$
Q 17 S 19 $+2$
R 18 U 21 $+3$
S 19 W 23 $+4$

From the table, we can see a clear pattern. The shift in the position of the letters increases by one for each subsequent letter: the first letter shifts by $+1$, the second by $+2$, the third by $+3$, and the fourth by $+4$.

Applying the Pattern to ABCD

Now, we will apply this $+1, +2, +3, +4$ positional shift pattern to the letters ABCD.

Original Letters Positions Shift New Position Resulting Letter
A 1 $+1$ $1 + 1 = 2$ B
B 2 $+2$ $2 + 2 = 4$ D
C 3 $+3$ $3 + 3 = 6$ F
D 4 $+4$ $4 + 4 = 8$ H

Applying the pattern to ABCD gives us the letters BDFH.

Conclusion

The pattern observed between PQRS and QSUW is a positional shift of $+1, +2, +3, +4$ respectively. Applying this same pattern to ABCD results in BDFH. Therefore, the missing term in the analogy ABCD : ? is BDFH.

Revision Table: Key Concepts Reviewed

Concept Description
Letter Analogy Identifying the relationship between letter groups based on position or pattern.
Alphabetical Position Each letter corresponds to a number (A=1, B=2, ..., Z=26).
Positional Shift Adding or subtracting a value from a letter's position to find a new letter.

Additional Information: Types of Letter Series & Analogies

Letter series and analogy questions are common in logical reasoning tests. They can follow various patterns:

  • Positional shifts (like in this question, adding/subtracting positions).
  • Skipping letters (e.g., A, C, E, ... skipping one letter each time).
  • Reverse order of letters.
  • Vowel/consonant patterns.
  • Combination of patterns.

To solve these, writing down the alphabet with its positions (1-26) is often helpful. Practice identifying different types of patterns.

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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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