Time Left - 15:00 mins

PnC 3-CIRCULAR PERMUTATIONS || Quantitative Aptitude || CAT 2021 || 20 October

Attempt now to get your rank among 179 students!

Question 1

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 2

A party is organized for 16 women along two side of a rectangular table with 8 rockers on each side. Four women wish to sit on one particular and two on the other side. In how many ways can they be seated?

Question 3

N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time take for singing is 28 minutes, what is N?

Question 4

Four couples are to be seated in a circular table such that each couple sits together. In how many ways they can sit such that two males sit to the right of their female partners and the other two males sit to the left of their female partners?

Question 5

In how many ways can we arrange 9 different flowers in a circle to form a garland using these flowers?

Question 6

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

Question 7

Five students are to be arranged on five chairs for a photograph. Three of these are girls and the rest are boys. Find out the total number of ways in which three girls are together.

Question 8

In how many ways can we arrange 7 different flowers in a circle to form a garland using these flowers?

Question 9

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 10

12 guests at a dinner party are to be seated along a circular table. Supposing that the master and mistress of the house have fixed seats opposite one another, and that there are two specified guests who must always, be placed next to one another, the number of ways in which the company can be placed, is-

179 attempts
1 upvote
0 comments

Tags :

CAT & MBA Quantitative Aptitude

Jan 12CAT & MBA