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Weekly revision || QA || CAT 2021 || 13 June

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Question 1

In how many different ways can the letters of the word ‘BOOKKEEPER’ be arranged?

Question 2

In how many different ways can the letters of the word ‘SUBJECTION’ be arranged so that all the vowels always come together?

Question 3

In how many different ways can the letters of the word ‘LONGEST’ be arranged so that the vowels are at the two ends?

Question 4

How many numbers can be formed from 1, 2, 3, 4, 5, without repetition, when the digit at the unit’s place must be greater than that in the ten’s place?

Question 5

In how many different ways can the letters of the phrase "Hakuna Matata" be arranged such that the vowels are always together?

Question 6

In how many ways the letters of the word BEAUTY be arranged so that the vowel and consonants occupy alternate positions?

Question 7

Find the number of diagonals in a regular octagon.

Question 8

How many different straight lines can be formed by joining 48 different points on a plane of which 8 are collinear and rest are non-collinear?

Question 9

In how many ways a committee of 7 members be selected from 6 men and 8 women, consisting of 3 men and 4 women?

Question 10

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
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Jun 13CAT & MBA