Select the option that is related to the fourth term in the same way as the first term is related to the second term.
TRUE
The question asks us to find the missing term in the analogy: FILE : GKOI ∷ _____ : UTXI. This type of problem tests our ability to identify patterns in the arrangement and transformation of letters. We need to figure out how the letters in 'FILE' are changed to get 'GKOI' and apply the same logic (or its reverse) to find the word that corresponds to 'UTXI'.
Let's examine the position of each letter in the English alphabet and compare the letters in 'FILE' with the corresponding letters in 'GKOI'.
| Position in FILE | Letter in FILE | Alphabetical Position | Letter in GKOI | Alphabetical Position | Shift |
|---|---|---|---|---|---|
| 1st | F | \(6\) | G | \(7\) | \(7 - 6 = +1\) |
| 2nd | I | \(9\) | K | \(11\) | \(11 - 9 = +2\) |
| 3rd | L | \(12\) | O | \(15\) | \(15 - 12 = +3\) |
| 4th | E | \(5\) | I | \(9\) | \(9 - 5 = +4\) |
From the table, we can see a clear pattern: the first letter of 'GKOI' is obtained by adding 1 to the alphabetical position of the first letter of 'FILE', the second letter by adding 2 to the second, the third by adding 3 to the third, and the fourth by adding 4 to the fourth.
The analogy is FILE : GKOI ∷ _____ : UTXI. This means the relationship between the missing word and 'UTXI' is the same as the relationship between 'FILE' and 'GKOI'. Since we are given the second term of the pair (UTXI) and need to find the first term (the missing word), we must apply the reverse of the pattern we found.
The pattern was adding +1, +2, +3, +4 to the letters of the first word to get the second word. To reverse this, we need to subtract -1, -2, -3, -4 from the letters of the second word ('UTXI') to find the letters of the first word (the missing term).
| Position in UTXI | Letter in UTXI | Alphabetical Position | Shift (Reverse) | Resulting Position | Letter in Missing Term |
|---|---|---|---|---|---|
| 1st | U | \(21\) | \(-1\) | \(21 - 1 = 20\) | T |
| 2nd | T | \(20\) | \(-2\) | \(20 - 2 = 18\) | R |
| 3rd | X | \(24\) | \(-3\) | \(24 - 3 = 21\) | U |
| 4th | I | \(9\) | \(-4\) | \(9 - 4 = 5\) | E |
By applying the reverse shifts (-1, -2, -3, -4) to the letters U, T, X, and I respectively, we get the letters T, R, U, and E.
Combining these letters in order, we get the word 'TRUE'.
The missing term in the analogy FILE : GKOI ∷ _____ : UTXI is TRUE, because the pattern involves adding 1, 2, 3, and 4 to the alphabetical position of the letters in the first word to obtain the second word. Reversing this pattern and applying it to UTXI gives us TRUE.
| Relationship | Operation |
|---|---|
| FILE → GKOI | Letter Position \(+1, +2, +3, +4\) |
| Missing Term → UTXI | Same relationship: Letter Position \(+1, +2, +3, +4\) |
| UTXI → Missing Term | Reverse Operation: Letter Position \(-1, -2, -3, -4\) |
Analogies are comparisons that show the relationship between two pairs of things. They are common in reasoning tests. Letter or word analogies can be based on various patterns:
Solving analogies requires careful observation, pattern recognition, and logical deduction. Practice with different types of analogies helps improve reasoning skills.
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.
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