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Mega Quiz 32 & Weekly Revision || Quantitative Aptitude || CAT 2021 || 24 October
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Question 1
In how many different ways can the letters of the phrase "Hakuna Matata" be arranged such that the vowels are always together?
Question 2
3 families of 4 members each have arrived to a societal meeting that has 3 sets of chair arrangement. If they all are to be seated in such a way that all 4 members of a family must sit together on one set of chairs. The number of distinct ways they all can be seated is?
Question 3
If the letter of the word 'BHARAT' are arranged as in dictionary, then find the rank of the word 'HAABRT’?
Question 4
In an award show, six celebrities L, M, N, O, P and Q are to be seated at a circular table. In how many ways can this be done if M must always have either N or O on his immediate right and N must always have either O or P on his immediate right?
Question 5
Five chairs labelled 1, 2, 3, 4, 5 are arranged round a circular table with equal spaces between them. A seating plan for five persons A, B, C, D, E is described as
which means that C occupies chair 1, A occupies chair 2, and so on. Two seating plans are considered identical if one plan can be obtained from the other by moving everyone the same number of places to the right. Then the total number of non-identical seating plans is
which means that C occupies chair 1, A occupies chair 2, and so on. Two seating plans are considered identical if one plan can be obtained from the other by moving everyone the same number of places to the right. Then the total number of non-identical seating plans is
Question 6
In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the vice chairman and a director?
Question 7
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she doesn’t take the same set of three children more than once. She finds out that she goes to the zoo 84 times more than a child goes to the zoo, Total number of students in her class in equal to:
Question 8
How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated
Question 9
A group of 7 persons is to be selected from a group having 8 females and 7 males. In how many ways can a group of at least 2 females and at least 3 males be selected?
Question 10
Seven books including 2 identical Social Science books, 2 different Chemistry books, 2 different English books and 1 bio books are to be arranged on a book shelf. If Social Science books are to be kept together, position of Chemistry books can’t be extreme left or extreme right and English books are to not to be together, how many ways can the arrangement be made?
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