Linear Arrangement problems
- 1. it the Nepalese is in Track 4 and the Indian is in Track 3, then the english man coul;d be in :
Options- A. Track 1
- B. Track 2
- C. Track 1 or 2
- D. None of these Discuss
Correct Answer: None of these
Explanation:
There are five tracks T1 T2 T3 T4 T5
Chines ---Indian (Chinese is let o Indian)
The arrangement with the given condition is not possible as it contradicts the given conditions.
- 2. If the Iraqi is to the left of the Chinese, then the Iraqi could be in :
Options- A. Track 2 only
- B. Track 3 only
- C. Track 2 or 3
- D. None of these Discuss
Correct Answer: Track 2 only
Explanation:
There are five tracks T1 T2 T3 T4 T5
Chines ---Indian (Chinese is left of Indian)
The arrangement in this case could be :
Nepalese Iraqi Englishman Chinese Indian
So Iraqui will be on track 2.
- 3. There are 6 volumes of books on a track kept in order (such as, vol. 1, vol. 2 and so on). Aftersome readers used them, their order got disturbed. The changes showed as follows:
Vol. 5 was directly to the right of vol. 2
Vol. 4 has vol. 6 to its and both were not at Vol. 3 splace.
Vol. 1 has Vol. 3 on right and Vol. 5 on left.
An even numbered volume is at vol. 5's place.
Find the order in which the books are kept now. from the 4 given alternatives:
Options- A. 6, 3, 5, 1, 4, 2
- B. 4, 6, ,3, 5, 1, 2
- C. 3, 4, 1, 6, 5, 3
- D. 2, 5, 1, 3, 6, 4 Discuss
Correct Answer: 2, 5, 1, 3, 6, 4
Explanation:
There are five tracks T1 T2 T3 T4 T5
Chines ---Indian (Chinese is left of Indian)
Initial Position is V1 V2 V3 V4 V5 V6
Now from the 1st condition: V2 V5
From 2nd condition V6 V4 and none of them at position number three hence they cannot be at 1st three places
From 3rd condition V5 V1 V3
At 5th place even numbered book is placed.
From these information we can conclude that :-
V2 V5 V1 V3 V6 V4 hence 4 is correct.
- 4. If Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true?
Options- A. Vicky is ranked first or fourth
- B. Raman is ranked second or third
- C. Tony is ranked fourth or fifth
- D. Deepak is ranked third or fourth Discuss
Correct Answer: Deepak is ranked third or fourth
Explanation:
Vicky > Priya
Priya > Ankit
One of them is true- Raman is highest or Tony is least or Sunil got highest and Deepak got least.
Now or each and every question we have different case-
Since Sunil got the sixth and Ankit got the fifth rank, hence we can conclude that Raman must have got the highest and Tony must have got the least rank. And the order of ranks of Vicky, Priya and Ankit must be Vicky > Priya > Ankit. Vicky must have got the second or third rank and accordingly Priya must have got the third or ourth rank. Deepak mlust have got any rank among two, three and four.
- 5. It Raman gets the highest, Vicky should be ranked not lower than
Options- A. Second
- B. Third
- C. Fourth
- D. Fifth Discuss
Correct Answer: Fourth
Explanation:
Vicky > Priya
Priya > Ankit
One of them is true- Raman is highest or Tony is least or Sunil got highest and Deepak got least.
Now or each and every question we have different case-
If Raman Sunil got the highest, then Tony will get least and be ranked 7th.
Now since Priya and Ankit are always ranked numerically highest than Vicky.
Hence, Vicky can never be ranked lower than 4th.
- 6. If Raman is ranked second and Ankit is ranked first, which of the following must be true?
Options- A. Sunil is ranked third
- B. Tony is ranked third
- C. Priya is ranked sixth
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Vicky > Priya
Priya > Ankit
One of them is true- Raman is highest or Tony is least or Sunil got highest and Deepak got least.
Now or each and every question we have different case-
Given that Ankit is ranked 1st. But is not possible as he always scores less than Vicky and Priya. Hence this case is possible and data is inconsistent.
- 7. If Sunil is ranked second, which of the following can be true?
Options- A. Deepak gets more than Vicky
- B. Vicky gets more than Sunil
- C. Priya gets more than Raman
- D. Priya gets more than Vicky Discuss
Correct Answer: Deepak gets more than Vicky
Explanation:
Vicky > Priya
Priya > Ankit
One of them is true- Raman is highest or Tony is least or Sunil got highest and Deepak got least.
Now or each and every question we have different case-
If Sunil gets the second rank, then Raman gets the first rank and Tony gets the last rank. In that case Vicky's rank can be 3 or 4, and Priya's rank can be 4 or 5 and Ankit's rank can be 5 or 6 then Deepak's rank can be 3, 4, or 5.
- 8. If Vicky is ranked fifth, which of the following must be true?
Options- A. Sunil scores the highest
- B. Raman is ranked second
- C. Tony is ranked third
- D. Ankit is ranked second Discuss
Correct Answer: Sunil scores the highest
Explanation:
Vicky > Priya
Priya > Ankit
One of them is true- Raman is highest or Tony is least or Sunil got highest and Deepak got least.
Now or each and every question we have different case-
If Vicky is ranked 5th , then Priya is ranked 6th and Ankitis ranked 7th. Then only possibility is Sunil is ranked 1st
- 9. Ganesh Cultural Centre or promoting arts has appointed 3 instructors for music, dance and painting. Music instructor takes session from 12 noon to 4:00 pm on Monday, Thursday and scheduled on Tuesday, Thursday, Wednesday, and Sunday between 10:00 am to 2:00 pm . The 9:00 am to 12:00 noon slot on Tuesday, Friday and Thursday and also 2:00 pm to 4:00 pm slot on Wednesday, Saturday and Sunday is filled up by Painting Instructor. On which day(s) of a week the dance and painting sessions are simultaneously held?
Options- A. Sunday and Wednesday
- B. Tuesday and friday
- C. Tuesday and Thursday
- D. Only on Tuesday Discuss
Correct Answer: Tuesday and Thursday
Explanation:
Vicky > Priya
Priya > Ankit
One of them is true- Raman is highest or Tony is least or Sunil got highest and Deepak got least.
Now or each and every question we have different case-
From the information, dance and painting will held simultaneously as dance instructor are scheduled on Tuesday, Thursday, Wednesday and Sunday between 10:00 to 2:00 pm and 9:00 am to 12 noon slot on Tuesday, Friday and Thursday and also 2:00 pm to 4:00 pm slot on Wednesday, Saturday and Sunday is filled up by Painting instructor. So on Tuesday and Thursday both session will simultaneously held.
Tuesday : Dance 10:00 am to 2:00 pm , Painting 9:00 am to 12:00 noon and on
Thursday : Dance - 10:00 am to 12:00 noon , Painting - 9:00 am to 12:00 noon.
- 10. Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group?
Options- A. A - T
- B. B - T
- C. F - P
- D. C - V Discuss
Correct Answer:
Explanation:
Row 1. ? P V S T R Q
Row 2. ? C F A E B D
(e)is the correct answer.there is a difference of one in all the rest.
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