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26 Jun 2018, 05:19
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:58) correct
15%
(02:27)
wrong
based on 141
sessions
History
Date
Time
Result
Not Attempted Yet
Given an alphabet of 26 letters, with 21 consonants, and 5 vowels, approximately how many three-letter words can be formed with a vowel as the middle letter and a consonant as the last letter?
A. 1000
B. 1500
C. 2500
D. 3500
E. 4000
A. 1000
B. 1500
C. 2500
D. 3500
E. 4000
26 Jun 2018, 05:27
Kudos
Bookmarks
Solution
Given:
- • An alphabet of 26 letters, with 21 consonants and 5 vowels
To find:
- • Approximately how many three-letter words can be formed with a vowel as the middle letter and a consonant as the last letter
Approach and Working:
If we assume the word like this: (1) (2) (3)
- • Number of possibilities for the first place (1) = 26
• Number of possibilities for the second place (2) = 5
• Number of possibilities for the third place (3) = 21
Therefore, total possible cases = 26 * 5 * 21 = 2730
The nearest option is option C (2500)
Hence, the correct answer is option C.
Answer: C
