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Question

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.

ATRG : BWSJ :: MQSJ : ?

The correct answer is

NTTM

Understanding Letter-Cluster Analogy Problems

Letter-cluster analogy questions test your ability to find a specific relationship or pattern between groups of letters. This pattern is established between the first two clusters in the given pair, and you need to apply the exact same pattern to the third cluster to find the fourth one.

The given analogy is: ATRG : BWSJ :: MQSJ : ?

Let's analyze the relationship between the first pair: ATRG and BWSJ.

Analyzing the Pattern in ATRG : BWSJ

We will compare the position of each letter in the first cluster (ATRG) with the corresponding letter in the second cluster (BWSJ) in the English alphabet.

  • First letter: A to B. Moving from A to B is a difference of +1 position (B is one step after A).
  • Second letter: T to W. Moving from T to W is a difference of +3 positions (U, V, W are three steps after T).
  • Third letter: R to S. Moving from R to S is a difference of +1 position (S is one step after R).
  • Fourth letter: G to J. Moving from G to J is a difference of +3 positions (H, I, J are three steps after G).

So, the pattern observed between ATRG and BWSJ is a sequential increase in letter positions: +1, +3, +1, +3.

Applying the Pattern to MQSJ

Now, we apply the same (+1, +3, +1, +3) pattern to the third letter-cluster, MQSJ, to find the missing fourth cluster.

  • First letter: M. Apply +1. M + 1 position is N.
  • Second letter: Q. Apply +3. Q + 3 positions is T (R, S, T).
  • Third letter: S. Apply +1. S + 1 position is T.
  • Fourth letter: J. Apply +3. J + 3 positions is M (K, L, M).

Combining the resulting letters, we get NTTM.

Verifying the Result

The fourth letter-cluster derived by applying the pattern is NTTM. Let's check the given options:

  1. PTVN
  2. NRTN
  3. NTTM
  4. OSWL

The calculated cluster, NTTM, matches option 3.

Conclusion

The pattern relating ATRG to BWSJ is adding +1, +3, +1, and +3 to the respective letter positions. Applying this same pattern to MQSJ gives us NTTM.

Original Cluster (ATRG) Pattern Resulting Cluster (BWSJ)
A +1 B
T +3 W
R +1 S
G +3 J

Third Cluster (MQSJ) Pattern Resulting Cluster (?)
M +1 N
Q +3 T
S +1 T
J +3 M

Revision Table: Key Concepts

Concept Description How it applies here
Letter Analogy Finding a relationship between pairs of letter groups. Identifying the pattern between ATRG and BWSJ.
Pattern Recognition Identifying the rule (addition, subtraction, skipping letters, etc.) connecting the elements. Discovering the +1, +3, +1, +3 rule.
Alphabetical Positioning Using the sequence and position of letters in the alphabet. Calculating the effect of adding positions (+1, +3).

Additional Information: Tips for Letter Analogies

  • Always write down the alphabet or have a mental image of it.
  • Note the position number for each letter if needed (A=1, B=2, ... Z=26).
  • Look for patterns in letter position shifts (addition, subtraction, multiplication, division).
  • Check if the pattern involves skipping letters.
  • Sometimes patterns can involve reversing the order of letters or using opposite letters (A-Z, B-Y, etc.).
  • Break down the cluster letter by letter and analyze each position separately.
  • Once a potential pattern is found, test it rigorously on the given pair before applying it to the third cluster.
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Important Questions from Coding By Analogy

  1. If 'sky' is called 'cloud', 'cloud' is called 'thunder', 'thunder' is called 'water', 'water' is called 'pot', 'pot' is called 'desert', and 'desert' is called 'sky', then where do fish live?

  2. If 'white' is called 'bird', 'bird' is called 'mercury', 'mercury' is called 'curd', 'curd' is called 'detergent' and 'detergent' is called 'white', then which of the following is used in 'thermometers'?

  3. Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.

    BET : UXM :: SYP : LRI :: HOX : ?

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

    MAGNET : AMNGTE :: FAMILY : AFIMYL :: BLOCKS : ?

  5. In a certain code language, 'PEN' is coded as 9 and 'PAPER' is coded as 25 . How will 'CHAPTER' be coded in the same language?

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