Logical Reasoning – Princess, Queen, Rani and Samragni


Slot – 1 – LR

Princess, Queen, Rani and Samragni – Video Solution


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.

  1. No composer who assigned item to Princess, assigned any item to Queen.
  2. No composer who assigned item to Rani, assigned any item to Samragni.
  3. The first performance was by Princess; this item was assigned by Badal.
  4. The last performance was by Rani; this item was assigned by Gagan.
  5. The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.
Q.1 Which of the following is true?

  1. The third performance was composed by Ashman.
  2. The second performance was composed by Gagan.
  3. The third performance was composed by Dyu.
  4. The second performance was composed by Dyu.
Answer: 4

Q.2 Which of the following is FALSE?

  1. Princess did not perform in any item composed by Dyu.
  2. Queen did not perform in any item composed by Gagan.
  3. Samragni did not perform in any item composed by Ashman.
  4. Rani did not perform in any item composed by Badal.
Answer: 2

Q.3 The sixth performance was composed by:

  1. Gagan
  2. Dyu
  3. Badal
  4. Ashman
Answer: 3

Q.4 Which pair of performances were composed by the same composer?

  1. The first and the sixth
  2. The first and the seventh
  3. The second and the sixth
  4. The third and the seventh
Answer: 1

Solution:
First of all represent the dancers and composers by the first letter of their respective name.
As there were total 8 performances . No dancer performed her second item before the performance of the first item by any other dancers.
So from point v) The items assigned by A were performed consecutively . It means Items assigned by A were performed at no 4 and 5.
From point iv) The last performance was by Rani so she must have performed the 4th performance.
similarly from point iii) The first performance was by Princess; this item was assigned by Badal so 5th performance must be performed by P.
This can be represented in the table as given below:
Order of performance Dancer Composer
1 P B
2    
3    
4 R A
5 P A
6    
7    
8 R G

Now from point v) The number of performances between items assigned by each of the remaining composers was the same. this can not be 1 (because items assigned by A were consecutive ) similarly this can not be 2 or 3 as well if The number of performances between items assigned by each of the remaining composers was 2 or 3 then B must assign performance 4 or 5 which is not possible . thus this no must be 4.
So B must assign performance 6 and g must assign performance no 3 . so the only performances left are 2 and 7 which must be assigned by D.
Now the complete table will look like –
Order of performance Dancer Composer
1 P B
2 S D
3 Q G
4 R A
5 P A
6 S B
7 Q D
8 R G

All the questions can be answered now.

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