Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. CAT : FFA :: ANT : DSA :: SUN : ?
VZU
The question asks us to find the relationship between letter pairs in the given analogy: CAT : FFA :: ANT : DSA :: SUN : ?. We need to identify the pattern connecting the letters in the first term to the letters in the second term and apply that same pattern to the third term (SUN) to find the missing fifth term.
Let's examine the relationship between the letters in the first pair: CAT to FFA.
To understand the pattern, let's look at the alphabetical position of each letter:
| Position | Letter | Position | Letter | Shift |
|---|---|---|---|---|
| 1 | C (3) | F (6) | $+3$ | |
| 2 | A (1) | F (6) | $+5$ | |
| 3 | T (20) | A (1 or 27) | $+7$ |
It appears there is a letter shift pattern of +3, +5, and +7 for the first, second, and third letters, respectively.
Let's check if the same +3, +5, +7 shift pattern applies to the second pair: ANT to DSA.
Checking the alphabetical positions:
| Position | Letter | Position | Letter | Shift |
|---|---|---|---|---|
| 1 | A (1) | D (4) | $+3$ | |
| 2 | N (14) | S (19) | $+5$ | |
| 3 | T (20) | A (1 or 27) | $+7$ |
The pattern holds true for the second pair as well. The relationship is a shift of +3 for the first letter, +5 for the second letter, and +7 for the third letter, wrapping around the alphabet if necessary.
Now, we apply the same +3, +5, +7 shift pattern to the letters in the word SUN.
Let's find the corresponding letters:
| Original Letter | Position | Shift | New Position | New Letter |
|---|---|---|---|---|
| S | 19 | $+3$ | $19 + 3 = 22$ | V (22nd letter) |
| U | 21 | $+5$ | $21 + 5 = 26$ | Z (26th letter) |
| N | 14 | $+7$ | $14 + 7 = 21$ | U (21st letter) |
Applying the pattern to SUN gives us VZU.
Following the established pattern where the letters are shifted by +3, +5, and +7 respectively, the word SUN transforms into VZU. Therefore, the term related to SUN in the same way is VZU.
| Original Word | Letter 1 Shift (+3) | Letter 2 Shift (+5) | Letter 3 Shift (+7) | Resulting Word |
|---|---|---|---|---|
| CAT | C $\xrightarrow{+3}$ F | A $\xrightarrow{+5}$ F | T $\xrightarrow{+7}$ A | FFA |
| ANT | A $\xrightarrow{+3}$ D | N $\xrightarrow{+5}$ S | T $\xrightarrow{+7}$ A | DSA |
| SUN | S $\xrightarrow{+3}$ V | U $\xrightarrow{+5}$ Z | N $\xrightarrow{+7}$ U | VZU |
Letter series and analogies are common types of verbal reasoning questions. They test your ability to identify patterns in sequences of letters or relationships between letter groups. Common patterns include:
Solving these problems effectively requires familiarity with the English alphabet and practice in identifying various types of letter manipulation patterns.
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Ant ∶ Antling ∶ ∶ Deer ∶ ?