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DILR Practice Set – 23

DILR Practice Set – 23

Refer to the data below and answer the questions that follow.


Eight students named Ajay, Bimal, Chaitanya, Deepak, Eashwar, Farhan, Gaurav and Harish were short-listed by St.Joseph's school for an inter school compe on in 5 events viz. singing, pain ng, speech, dancing and debate. Singing, pain ng and speech are solo (single member team) events, while dancing and debate required a team of two and three members respec vely. No student can be a member of more than one team.

i. Deepak and Farhan had a fight among themselves and they decided not to be in the same team.
ii. Bimal and Harish par cipated in the same event.
iii. Ajay and Gaurav cannot par cipate in the same event or the event star ng with same letter.
iv. Chaitanya participated in a solo event.
v. Eashwar cannot participate in a solo event.

Please ensure your answer is entered accurately. Double-check your work.

1. In how many ways can the eight students be selected for five different events if Ajay and Gaurav are selected only for solo events?
image Therefore, the required answer is 8.

Please ensure your answer is entered accurately. Double-check your work.

2. Which among these cannot be a selection for the debate team?
  • Ajay, Eashwar and Deepak
  • Gaurav, Farhan and Eashwar
  • Bimal, Eashwar and Farhan
  • Bimal, Harish and Eashwar
Option [3] contradicts condition (ii). Rest all options are possible. Hence, [3]

Please ensure your answer is entered accurately. Double-check your work.

3. Which among these cannot be a selection for singing, painting and speech respectively?
  • Gaurav, Chaitanya and Deepak
  • Deepak, Ajay and Chaitanya
  • Chaitanya, Deepak and Farhan
  • Ajay, Gaurav and Chaitanya
Option [3] cannot be selected in the events because Ajay and Gaurav cannot participate in the event starting with same letter. Both of them can not participate together in dancing or debate. Ajay or Gaurav must participate in single solo events. Hence, [3].

Please ensure your answer is entered accurately. Double-check your work.

4. If Deepak and Farhan sorted out their differences and decided to be in the same team, which of the following statements is definitely false?
  • Ajay participated in singing and Gaurav participated in painting.
  • Chaitanya participated in singing and Ajay participated in speech.
  • Eashwar and Farhan participated in the same event.
  • Chaitanya participated in painting and Gaurav participated in speech.
When Deepak and Farhan are in the same team, Bimal, Harish, Eashwar, Deepak and Farhan are the five students in dancing and debate team. Looking at the fourth option, if Chaitanya participated in painting and Gaurav participated in speech, then Ajay has to be in the singing team. This will contradict condition (iii) which says Ajay and Gaurav cannot be in events starting with same letters. Rest all options can be true. Hence, [4].
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