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.
SPL : HRO :: KFQ : ?
- APHT
- BPHS
- COHT
- DOGS
Solution & Step-by-step Explanation
Let's determine the relationship between the first two clusters, SPL and HRO, by analyzing their alphabetical positional values:
S (19) → its opposite letter is H (8).
P (16) + 2 = R (18).
L (12) → its opposite letter is O (15).
So the pattern is:
First letter: Replaced by its opposite letter.
Second letter: Shifted forward by +2.
Third letter: Replaced by its opposite letter.
Let's apply this exact pattern to KFQ:
K → opposite letter is P.
F (6) + 2 = 8 → H.
Q (17) → opposite letter is J? Let's check the options: we have PHT, PHS.
Let's check the third letter shift again: L (12) to O (15) is +3.
Let's see if the pattern is a direct shift instead of opposites:
S (19) - 11 = H (8)
P (16) + 2 = R (18)
L (12) + 3 = O (15)
Let's test this direct shift pattern (−11,+2,+3) on KFQ:
K (11) - 11 = 0 → Z (No option starts with Z)
Let's look at opposite letters again:
S ↔ H (Opposite)
P ↔ K? No.
What if it is a cross pattern?
S (19) - 4 = O (15)
L (12) - 4 = H (8)
P (16) + 2 = R (18)
Yes! It's a cross pattern:
1st letter S (-4) → becomes the 3rd letter O.
3rd letter L (-4) → becomes the 1st letter H.
2nd letter P (+2) → remains the 2nd letter R.
Let's apply this cross pattern to KFQ:
1st letter K (11) - 4 = 7 → G (goes to 3rd position).
3rd letter Q (17) - 4 = 13 → M (goes to 1st position)? No option matches.
Let's re-verify Option A: PHT.
Let's see how KFQ can become PHT:
K → opposite letter is P
F (+2) → H
Q (+3) → T (17 + 3 = 20, which is T)
Wow! The pattern is:
1st letter: Opposite letter (K → P)
2nd letter: +2 (F → H)
3rd letter: +3 (Q → T)
This gives PHT, which matches Option A perfectly.
S (19) → its opposite letter is H (8).
P (16) + 2 = R (18).
L (12) → its opposite letter is O (15).
So the pattern is:
First letter: Replaced by its opposite letter.
Second letter: Shifted forward by +2.
Third letter: Replaced by its opposite letter.
Let's apply this exact pattern to KFQ:
K → opposite letter is P.
F (6) + 2 = 8 → H.
Q (17) → opposite letter is J? Let's check the options: we have PHT, PHS.
Let's check the third letter shift again: L (12) to O (15) is +3.
Let's see if the pattern is a direct shift instead of opposites:
S (19) - 11 = H (8)
P (16) + 2 = R (18)
L (12) + 3 = O (15)
Let's test this direct shift pattern (−11,+2,+3) on KFQ:
K (11) - 11 = 0 → Z (No option starts with Z)
Let's look at opposite letters again:
S ↔ H (Opposite)
P ↔ K? No.
What if it is a cross pattern?
S (19) - 4 = O (15)
L (12) - 4 = H (8)
P (16) + 2 = R (18)
Yes! It's a cross pattern:
1st letter S (-4) → becomes the 3rd letter O.
3rd letter L (-4) → becomes the 1st letter H.
2nd letter P (+2) → remains the 2nd letter R.
Let's apply this cross pattern to KFQ:
1st letter K (11) - 4 = 7 → G (goes to 3rd position).
3rd letter Q (17) - 4 = 13 → M (goes to 1st position)? No option matches.
Let's re-verify Option A: PHT.
Let's see how KFQ can become PHT:
K → opposite letter is P
F (+2) → H
Q (+3) → T (17 + 3 = 20, which is T)
Wow! The pattern is:
1st letter: Opposite letter (K → P)
2nd letter: +2 (F → H)
3rd letter: +3 (Q → T)
This gives PHT, which matches Option A perfectly.