Latest MBA Aptitude Question SOLUTION: In how many ways can eight people comprising four married couples sit at a circular table such that no two men sit together and no husband sits beside his wife?

1) 8

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Previous Question: Six men are in a queue at the ticket counter of ‘PVR’ movie theater. All of them want to buy a ticket which costs Rs. 75. Each of the six men has exactly one ‘currency note’. Three of the men have 75 rupee-note and other three have 150 rupee-note. There are no ‘ currency notes’ of any kind at the ticket counter initially. In how many different ways six men can be arranged in the queue such that there is no problem of extending change at the ticket counter?

1) 144
2) 252
3) 216
4) 180
Next Question: The inhabitants of Planet-X measure time in hours and minutes which is different from out measurement of earth. The day in Planet-X consists of 36 hours with each hour having 120 minutes. The dials of their clock shows 36 hours. What is the angle(in Planet-X degrees) between the hours and the minute hands when it shows a time of 11:24? The angle around a point in planet-X is 720 degrees.

1) 100
2) 80
3) 120
4) 60

(#M40015116) MBA question permutations and combinations, probability Keep an EYE

In how many ways can eight people comprising four married couples sit at a circular table such that no two men sit together and no husband sits beside his wife?

1) 8
2) 2
3) 16
4) 12

Asked In MBA (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (4)   (1) Submit Your Solution

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Read Solution (1) :

Aritro Sinha  (4 years ago)

2*3! ways,

Let husbands be A,B,C & D, and their wives be 1,2,3,4 respectively.

Now let us place husbands in alternative positions, for fulfilling second requirement,

A_B_C_D_

Being circular problem the blank after D is actually between A&D

Now according to first condition following options can fill the blanks in order,

3,4

4,1

1,2

2,3

But now there is one more twist, that not all the possible combinations from this set can work for example if we choose 3 for first blank, then 1 for second and, 2 for third then we cannot fill the last position.

So, if we choose 3 for first position, then we have to choose 4 for second, 1 for third and 2 for forth.

Same holds for choosing 4 for first position.

Now we can position husbands in 3! position in a circular table.

So total number of ways are 2*3! = 12

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Previous Question: Six men are in a queue at the ticket counter of ‘PVR’ movie theater. All of them want to buy a ticket which costs Rs. 75. Each of the six men has exactly one ‘currency note’. Three of the men have 75 rupee-note and other three have 150 rupee-note. There are no ‘ currency notes’ of any kind at the ticket counter initially. In how many different ways six men can be arranged in the queue such that there is no problem of extending change at the ticket counter?

1) 144
2) 252
3) 216
4) 180
Next Question: The inhabitants of Planet-X measure time in hours and minutes which is different from out measurement of earth. The day in Planet-X consists of 36 hours with each hour having 120 minutes. The dials of their clock shows 36 hours. What is the angle(in Planet-X degrees) between the hours and the minute hands when it shows a time of 11:24? The angle around a point in planet-X is 720 degrees.

1) 100
2) 80
3) 120
4) 60

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