Select the option that is related to the third letter-cluster in the same way as the second letter-cluster.
NRQU
This question asks us to find the relationship between the first pair of letter clusters, JKLM and HLKO, and then apply that same relationship to the letter cluster PQRS to find the missing cluster. These types of questions test your ability to identify patterns in letter sequences based on their positions in the alphabet.
Let's look at how each letter in JKLM changes to become the corresponding letter in HLKO. We can use the alphabetical position of each letter.
| Position | Letter in JKLM | Alphabetical Position | Letter in HLKO | Alphabetical Position | Change |
|---|---|---|---|---|---|
| 1st | J | \(10\) | H | \(8\) | \(8 - 10 = -2\) |
| 2nd | K | \(11\) | L | \(12\) | \(12 - 11 = +1\) |
| 3rd | L | \(12\) | K | \(11\) | \(11 - 12 = -1\) |
| 4th | M | \(13\) | O | \(15\) | \(15 - 13 = +2\) |
The pattern observed in the change of alphabetical positions is:
Now, we apply this same pattern of changes to the letter cluster PQRS. Let's find the alphabetical positions of the letters in PQRS and apply the respective changes.
| Position | Letter in PQRS | Alphabetical Position | Change (Pattern) | New Position | New Letter |
|---|---|---|---|---|---|
| 1st | P | \(16\) | \(-2\) | \(16 - 2 = 14\) | N |
| 2nd | Q | \(17\) | \(+1\) | \(17 + 1 = 18\) | R |
| 3rd | R | \(18\) | \(-1\) | \(18 - 1 = 17\) | Q |
| 4th | S | \(19\) | \(+2\) | \(19 + 2 = 21\) | U |
By applying the pattern \(-2, +1, -1, +2\) to the letters PQRS, we get the new letter cluster NRQU.
Let's compare our result NRQU with the given options:
Therefore, the letter cluster that is related to PQRS in the same way as HLKO is related to JKLM is NRQU.
| Cluster 1 | Cluster 2 | Relationship Pattern (Alphabetical Position Change) |
|---|---|---|
| JKLM | HLKO | 1st: -2, 2nd: +1, 3rd: -1, 4th: +2 |
| PQRS | NRQU | Applying the same -2, +1, -1, +2 pattern |
Letter analogy questions are common in reasoning tests. They require you to decipher the rule or pattern connecting two given letter sets and apply it to a third set. The patterns can be based on:
Practicing with different types of patterns is key to solving these reasoning problems quickly and accurately. Always write down the alphabetical positions if it helps you see the numerical relationship clearly.
Select the option that is related to the third term in the same way as the second term is related to the first term.
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