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. BEWMTT : ACTION :: KWQMTX : JUNIOR :: QTRJNZ : ?
PROFIT
This question asks us to find the relationship between letter clusters and words, and then apply that same relationship to a new letter cluster to find the corresponding word. We are given two pairs that share a common pattern, and we need to determine the word related to the third letter cluster based on this pattern.
Let's look at the position of each letter in the alphabet and compare the letters in the first cluster (BEWMTT) with the letters in the second word (ACTION).
| Position | Letter in BEWMTT | Alphabetical Position | Letter in ACTION | Alphabetical Position | Difference |
|---|---|---|---|---|---|
| 1st | B | 2 | A | 1 | $1 - 2 = -1$ |
| 2nd | E | 5 | C | 3 | $3 - 5 = -2$ |
| 3rd | W | 23 | T | 20 | $20 - 23 = -3$ |
| 4th | M | 13 | I | 9 | $9 - 13 = -4$ |
| 5th | T | 20 | O | 15 | $15 - 20 = -5$ |
| 6th | T | 20 | N | 14 | $14 - 20 = -6$ |
We observe a clear pattern: the corresponding letter in the second word is obtained by shifting the letter in the first cluster backwards in the alphabet by 1, 2, 3, 4, 5, and 6 positions respectively.
Let's check if the same pattern holds for the second pair.
| Position | Letter in KWQMTX | Alphabetical Position | Letter in JUNIOR | Alphabetical Position | Difference |
|---|---|---|---|---|---|
| 1st | K | 11 | J | 10 | $10 - 11 = -1$ |
| 2nd | W | 23 | U | 21 | $21 - 23 = -2$ |
| 3rd | Q | 17 | N | 14 | $14 - 17 = -3$ |
| 4th | M | 13 | I | 9 | $9 - 13 = -4$ |
| 5th | T | 20 | O | 15 | $15 - 20 = -5$ |
| 6th | X | 24 | R | 18 | $18 - 24 = -6$ |
Yes, the pattern is consistent. The letters in JUNIOR are obtained by applying the same $-1, -2, -3, -4, -5, -6$ shift to the letters in KWQMTX.
Now we apply this established pattern to the third letter cluster, QTRJNZ, to find the related word.
| Position | Letter in QTRJNZ | Alphabetical Position | Shift | Resulting Position | Resulting Letter |
|---|---|---|---|---|---|
| 1st | Q | 17 | $-1$ | $17 - 1 = 16$ | P |
| 2nd | T | 20 | $-2$ | $20 - 2 = 18$ | R |
| 3rd | R | 18 | $-3$ | $18 - 3 = 15$ | O |
| 4th | J | 10 | $-4$ | $10 - 4 = 6$ | F |
| 5th | N | 14 | $-5$ | $14 - 5 = 9$ | I |
| 6th | Z | 26 | $-6$ | $26 - 6 = 20$ | T |
By applying the shifts, we get the letters P, R, O, F, I, T. Combining these letters forms the word PROFIT.
We compare our resulting word, PROFIT, with the given options:
The word PROFIT matches option 2.
The pattern observed in the first two pairs is a sequential backward shift in alphabetical position by 1, 2, 3, 4, 5, and 6 for each letter. Applying this pattern to QTRJNZ yields the word PROFIT.
| Cluster | → | Word | Pattern Applied |
|---|---|---|---|
| BEWMTT | → | ACTION | $-1, -2, -3, -4, -5, -6$ |
| KWQMTX | → | JUNIOR | $-1, -2, -3, -4, -5, -6$ |
| QTRJNZ | → | PROFIT | $-1, -2, -3, -4, -5, -6$ |
Letter cluster analogy questions are common in reasoning tests. They require identifying a hidden rule or pattern that connects two sets of items (in this case, letter clusters and words). Here are some tips for solving such problems:
Practicing different types of analogy and coding-decoding questions helps improve pattern recognition skills.
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