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CAT-2003-Previous Years Paper

Question
47 out of 50
 

A string of three English letters is formed as per the following rules:

I. The first letter is any vowel.

II. The second letter is m, n or p.

III. If the second letter is m, then the third letter is any vowel which is different from the first letter.

IV. If the second letter is n, then the third letter is e 
or u.

V. If the second letter is p, then the third letter is the same as the first letter.


How many strings of letters can possibly be formed using the above rules?



A 40
B 45
C 30
D 35

Ans. D

Case I: ___m___

First place can be selected in five ways and hence the third in four ways

5 × 4 = 20 was

Case II: ___n___

First place can be selected in 5 ways and the third in 2 ways

5 × 2 = 10 ways

Case III: ___p___

First place can be selected in 5 ways and the last letter will be the same, i.e., one way

5 × 1 = 5 way

Total ways = 20 + 10 + 5 = 35 ways

CAT-2003-Previous Years Paper Flashcard List

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