Refer to the following letter series and answer the question. Counting to be done from left to right only. (Left) X H M F T C A Z F V N J R D T V W I O K U Y H (Right) How many such consonants are there each of which is immediately preceded by a vowel and also immediately followed by a vowel?
One
The vowels are A, E, I, O and U; all other letters, including Y, are consonants. Number the series from the left: 1 X, 2 H, 3 M, 4 F, 5 T, 6 C, 7 A, 8 Z, 9 F, 10 V, 11 N, 12 J, 13 R, 14 D, 15 T, 16 V, 17 W, 18 I, 19 O, 20 K, 21 U, 22 Y, 23 H.
The vowels are A at place 7, I at place 18, O at place 19 and U at place 21. A qualifying consonant must stand right after a vowel, so only the consonants just after a vowel need to be checked: Z (8), K (20) and Y (22).
| Consonant (place) | Preceded by | Followed by | Qualifies? |
| Z (8) | A – vowel | F – consonant | No |
| K (20) | O – vowel | U – vowel | Yes |
| Y (22) | U – vowel | H – consonant | No |
Therefore only K, in the group O K U, satisfies both conditions, so the count is 1.
Check: the letter just after I (place 18) is the vowel O, not a consonant, and every other consonant in the series has a consonant before it, so K at place 20 is the only consonant sitting between two vowels.
Hence, One.
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In the series AABABCABCDABCDE..., which letter appears at the 100th place?
