Logical Reasoning

Arrangements

Easy

Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items.

The following additional facts are known.

i) No composer who assigned item to Princess, assigned any item to Queen.

ii) No composer who assigned item to Rani, assigned any item to Samragni.

iii) The first performance was by Princess; this item was assigned by Badal.

iv) The last performance was by Rani; this item was assigned by Gagan.

v) The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.

Which pair of performances were composed by the same composer?

The third and the seventh

The first and the seventh

The first and the sixth

The second and the sixth

✅ Correct Option: 3

Slide 1/9

Understanding the set :

This is an arrangement set,

Here there are four performers - Princess, Queen, Rani and Samragni and four composers - Ashman, Badal, Gagan and Dyu.

We need to find the sequence in which dancers have performed and also, there composers.

In this set most important clues are :

The dancers performed their second items in the same sequence of their performance of their first items.

No dancer performed her second item before the performance of the first item by any other dancers.

The items performed by the four dancers were all assigned by different music composers.

Slot	Dancer	Composer
1	Princess	Badal
2
3
4
5	Princess	Badal
6
7
8

Clue 3 says,

The first performance was by Princess; this item was assigned by Badal.

We can directly add this to the table.

Also, we are given that,

The dancers performed their second items in the same sequence of their performance of their first items.

=> 1st performance of second item will also be of princess.

Slot	Dancer	Composer
1	Princess	Badal
2
3
4	Rani
5	Princess
6
7
8	Rani	Gagan

Clue 4 says,

The last performance was by Rani; this item was assigned by Gagan.

This also can be directly added to the table.

And, since, second items are performed in the same sequence as their first items.

=> 4th performance is also of Rani.

Slot	Dancer	Composer
1	Princess	Badal
2
3
4	Rani	Ashman
5	Princess	Ashman
6
7
8	Rani	Gagan

Using clue 5 ;

The items assigned by Ashman were performed consecutively.

We know, items performed by the four dancers were all assigned by different music composers

=> Ashman can compose consecutively only as last item of 1st performance (4th) and first item of 2nd performance (5th).

Slot	Dancer	Composer
1	Princess	Badal
2	Queen
3	Samragni
4	Rani	Ashman
5	Princess	Ashman
6	Queen
7	Samragni
8	Rani	Gagan

Slot	Dancer	Composer
1	Princess	Badal
2	Samragni
3	Queen
4	Rani	Ashman
5	Princess	Ashman
6	Samragni
7	Queen
8	Rani	Gagan

Now, we only have to find Queen and Samragni's position.

Therefore, let's make two cases :

CASE - 1 - when 2nd item is by Queen

CASE - 2 - when 2nd item is performed by Samragni

Slot	Dancer	Composer
1	Princess	Badal
2	Queen
3	Samragni
4	Rani	Ashman
5	Princess	Ashman
6	Queen	Dyu
7	Samragni	Badal
8	Rani	Gagan

Slot	Dancer	Composer
1	Princess	Badal
2	Samragni
3	Queen
4	Rani	Ashman
5	Princess	Ashman
6	Samragni	Badal
7	Queen	Dyu
8	Rani	Gagan

Now, clue 1 says,

No composer who assigned item to Princess, assigned any item to Queen.

=> In 2nd performance,

Queen can't have Badal as composer

Therefore, Badal will compose for Samragni in 2nd performance.

=> Dyu will compose for Queen in 2nd performance.

Slot	Dancer	Composer
1	Princess	Badal
2	Queen	Gagan
3	Samragni	Dyu
4	Rani	Ashman
5	Princess	Ashman
6	Queen	Dyu
7	Samragni	Badal
8	Rani	Gagan

Slot	Dancer	Composer
1	Princess	Badal
2	Samragni	Dyu
3	Queen	Gagan
4	Rani	Ashman
5	Princess	Ashman
6	Samragni	Badal
7	Queen	Dyu
8	Rani	Gagan

Now, in 1st performance ,

Dyu will assign to Samragni

As, Dyu has already assigned for queen in second performance, therefore, Dyu can't assign to queen again in first performance.

And, Gagan will assign to Queen .

Slot	Dancer	Composer
1	Princess	Badal
2	Queen	Gagan
3	Samragni	Dyu
4	Rani	Ashman
5	Princess	Ashman
6	Queen	Dyu
7	Samragni	Badal
8	Rani	Gagan

Slot	Dancer	Composer
1	Princess	Badal
2	Samragni	Dyu
3	Queen	Gagan
4	Rani	Ashman
5	Princess	Ashman
6	Samragni	Badal
7	Queen	Dyu
8	Rani	Gagan

Now, we are given that - The number of performances between items assigned by each of the remaining composers was the same.

In case 1 -

performances between items assigned by Badal = 5

But , performance between Dyu is 2.

Therefore, Case is rejected.

Slot	Dancer	Composer
1	Princess	Badal
2	Samragni	Dyu
3	Queen	Gagan
4	Rani	Ashman
5	Princess	Ashman
6	Samragni	Badal
7	Queen	Dyu
8	Rani	Gagan

The first and the six

Question 5

Which of the following is true?

Question 6

Which of the following is FALSE?

Question 7

The sixth performance was composed by:

Which pair of performances were composed by the same composer?

Solution

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