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The following question has two statements. Study the question and the statements carefully and then decide which of the statement(s) is/are necessary to answer the question. Letters of a word are rearranged to form different words. A word is randomly picked from all these rearranged words. Find the probability that the word will have a vowel at the end. Statement I∶ There are 3 vowels and 2 consonants in the word. Statement II∶ The original word is “OUTER”.

The following question has two statements. Study the question and the statements carefully and then decide which of the statement(s) is/are necessary to answer the question. Letters of a word are rearranged to form different words. A word is randomly picked from all these rearranged words. Find the probability that the word will have a vowel at the end. Statement I∶ There are 3 vowels and 2 consonants in the word. Statement II∶ The original word is “OUTER”. Correct Answer Statement II alone is sufficient to answer the question.

Here we need to find out the number of words, which have a vowel at the end and the total number of possible words.

Statement II∶

“OUTER”

It has 5 letters so we can find the total number of possible words.

It has 3 vowels and 2 consonants (No letter is repeated), so we can also find the number of words which have a vowel at the end.

∴ Probability that the word will have a vowel at the end could be found.

Statement I∶

There are 3 vowels and 2 consonants in the word.

Since we do not know if any letter is repeated or not. We can’t find a single solution to the question.

∴ Probability that the word will have a vowel at the end could not be found.

∴ Statement II alone is sufficient to answer the question.

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