Complex Arrangement
Logical Reasoning

 Back to Questions

Common Information

Seven bands were scheduled to perform during the weeklong music festival at XLRI. The festival began on a Monday evening and ended on the Sunday evening. Each day only one band performed. Each band performed only once.

The organizing committee had the task of scheduling the performances of the seven bands - Cactus, Axis, Enigma, Boom, Fish, Dhoom and Bodhi Tree. The festival schedule followed the following conditions: the performance of Bodhi Tree, the home band of XLRI, did not precede the performance of any other band.

Among the visiting bands three were rock bands and the other three were fusion bands. All three bands of the same genre were not allowed to perform consecutively. Boom, which was a rock band, refused to perform immediately before or after Fish. Meet, who was a lead vocalist with a rock band, refused to perform after Angelina. Angelina, the only female lead vocalist in the music fest besides Bony, was with the band Enigma.

Angelina refused to perform after Thursday citing personal reasons. Ali, who was the lead vocalist of a rock band, was not with the band Dhoom, and did not perform on Saturday. Sid, the lead vocalist of the rock band Cactus, could perform only on Monday.

Rupam, the only male among the lead vocalists of the fusion bands, was with Fish and performed on Wednesday. None of the bands performed in absence of their lead vocalist.

Q.

Common Information Question: 3/3

Which of the following is a plausible performance sequence?

 A.

Cactus, Enigma, Fish, Dhoom, Boom, Axis

 B.

Cactus, Dhoom, Fish, Boom, Enigma, Axis

 C.

Cactus, Axis, Fish, Boom, Enigma, Dhoom

 D.

Cactus, Axis, Fish, Enigma, Boom, Dhoom

 E.

Cactus, Boom, Fish, Axis, Enigma, Dhoom

 Hide Ans

Solution:
Option(D) is correct

There are seven bands performing on seven days. Also, there are 3 Rock bands and 3 Fusion Bands. The 3 bands of one genre cannot perform on 3 consecutive days.

Make a basic table noting down each day and then put in day for the name of the band, lead vocalist and genre of music followed by the band.

The basic table is shown below.

Table below can be scrolled horizontally

Day Band Lead Genre/Type
Monday      
Tuesday      
Wednesday      
Thursday      
Friday      
Saturday      
Sunday      

Also, compare each genre with lead vocalist as shown below.

Table below can be scrolled horizontally

Genre Lead Vocalist
   
   
   
   

Bodhi Tree’s performance was not preceded by anyone else. This implies that Bodhi Tree was the last to perform i.e. on Sunday.

Sid, the lead vocalist of the rock band Cactus, performed on Monday.

Rupam, the only male lead vocalist of a fusion band was with Fish and performed on Wednesday.

Meet and Ali were lead vocalists of a rock band.

Hence, the two females, Angelina and Bony were the lead vocalists with the other two fusion bands.

Angelina was with the band Enigma and she could not perform after Thursday.

Thus, the two tables can be partially filled as shown below.

Table below can be scrolled horizontally

Genre Lead Vocalist
Rock Sid
Meet
Ali
Fusion Rupam
Angelina
Bony

Table below can be scrolled horizontally

Day Band Lead Genre/Type
Monday Cactus Sid Rock
Tuesday      
Wednesday Fish Rupam Fusion
Thursday      
Friday      
Saturday      
Sunday Bodhi Tree    

Meet refused to perform after Angelina. Since no two bands performed on the same day, Meet had to perform before Angelina.

Now, ideally Angelina could have performed on any day from Monday to Thursday. However, as seen above, she can now perform only on Tuesday or Thursday. If Angelina performs on Tuesday, Meet will have to perform on Monday. However, Sid performs on Monday. Hence, this case is not possible. Hence, Angelina can perform only on Thursday. Therefore, Meet can perform only on Tuesday.

Note that Wednesday and Thursday now have consecutive fusion bands (Fish and Enigma). Thus, a Rock band has to perform on Friday and a Fusion band has to perform on Saturday.

Boom was a rock band. Also, it did not immediately perform before or after Fish. Hence, Boom could have performed only on Friday.

Ali was the lead vocalist of a rock band. Sid and Meet are the other two lead vocalists performing on Monday and Tuesday respectively. Hence, Ali has to perform on Friday.

Thus, Bony can perform only on Saturday.

The table now becomes:

Table below can be scrolled horizontally

Day Band Lead Genre/Type
Monday Cactus Sid Rock
Tuesday Axis/Dhoom Meet Rock
Wednesday Fish Rupam Fusion
Thursday Enigma Angelina Fusion
Friday Boom Ali Rock
Saturday Dhoom/Axis Bony Fusion
Sunday Bodhi Tree    

From the completed table, there are two possible sequences:

Cactus, Axis, Fish, Enigma, Boom, Dhoom, Bodhi Tree

Or

Cactus, Dhoom, Fish, Enigma, Boom, Axis, Bodhi Tree

Thus, the sequence in option D is possible.

Hence, option D is the correct choice.


(0) Comment(s)