Refer to the following letter series and answer the question that follows. Counting to be done from left to right only. (Left) T O W A Q D F H G U K S I C X Z O F H G U K I S (Right) How many such consonants are there, each of which is immediately preceded by a vowel and also immediately followed by a vowel?
Problem Analysis:
We need to identify the number of consonants in the given letter series that satisfy a specific condition: being immediately preceded by a vowel and immediately followed by a vowel. The series is: \(T O W A Q D F H G U K S I C X Z O F H G U K I S\). Counting is from left to right.
First, let's define the sets of vowels and consonants:
- Vowels (\(V\)): {A, E, I, O, U}
- Consonants (\(C\)): {B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z}
The condition we are looking for is the pattern: Vowel - Consonant - Vowel.
Finding Consonants Meeting the Criteria
We will scan the series from left to right to find occurrences of the pattern V-C-V:
- \(T O W A\): Here, 'W' is a consonant. It is preceded by 'O' (Vowel) and followed by 'A' (Vowel). This matches the pattern (V-C-V). Count: 1.
- \(O W A Q\): 'A' is a vowel.
- \(W A Q D\): 'Q' is a consonant. It is preceded by 'A' (Vowel) but followed by 'D' (Consonant). Does not match (V-C-C).
- \(A Q D F\): 'D' is a consonant. Preceded by 'Q' (Consonant). Does not match.
- \(Q D F H\): 'F' is a consonant. Preceded by 'D' (Consonant). Does not match.
- \(D F H G\): 'H' is a consonant. Preceded by 'F' (Consonant). Does not match.
- \(F H G U\): 'G' is a consonant. Preceded by 'H' (Consonant). Does not match.
- \(H G U K\): 'U' is a vowel.
- \(G U K S\): 'K' is a consonant. Preceded by 'U' (Vowel) but followed by 'S' (Consonant). Does not match (V-C-C).
- \(U K S I\): 'S' is a consonant. Preceded by 'K' (Consonant). Does not match.
- \(K S I C\): 'I' is a vowel.
- \(S I C X\): 'C' is a consonant. Preceded by 'I' (Vowel) but followed by 'X' (Consonant). Does not match (V-C-C).
- \(I C X Z\): 'X' is a consonant. Preceded by 'C' (Consonant). Does not match.
- \(C X Z O\): 'Z' is a consonant. Preceded by 'X' (Consonant). Does not match.
- \(X Z O F\): 'O' is a vowel.
- \(Z O F H\): 'F' is a consonant. Preceded by 'O' (Vowel) but followed by 'H' (Consonant). Does not match (V-C-C).
- \(O F H G\): 'H' is a consonant. Preceded by 'F' (Consonant). Does not match.
- \(F H G U\): 'G' is a consonant. Preceded by 'H' (Consonant). Does not match.
- \(H G U K\): 'U' is a vowel.
- \(G U K I\): Here, 'K' is a consonant. It is preceded by 'U' (Vowel) and followed by 'I' (Vowel). This matches the pattern (V-C-V). Count: 2.
- \(U K I S\): 'I' is a vowel.
Final Count
By examining the series, we found two consonants ('W' in the sequence OWA and 'K' in the sequence UKIS) that are immediately preceded by a vowel and immediately followed by a vowel.
Therefore, the total count is 2.
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Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
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Q _ P _ M _ A _ T _ Q A _ T M
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r _ x l _ q _ _ x _ p q _ e _ l p _
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
BKR, DNV, FQZ, ?, JWH
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AU, BO, CI, DE, ?
