Linear Arrangement


Direction: Study the following information to answer the given questions:
In a cycling race, five participants from various nations-- Chinese, Nepalese, Indian, Iraqi and English --- take part. Track 1 is extreme left and Track 5 is extreme right. The following condition exist:
(i) The Nepalese and the Englishmen are not cycling adjacent to each other.
(ii) The Iraqi is not in one of the extreme tracks.
(iii) The Chinese is to the left of the Indian.

  1. it the Nepalese is in Track 4 and the Indian is in Track 3, then the english man coul;d be in :
    1. Track 1
    2. Track 2
    3. Track 1 or 2
    4. None of these

  1. View Hint View Answer Discuss in Forum

    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.

    Correct Option: D

    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.


  1. If the Iraqi is to the left of the Chinese, then the Iraqi could be in :
    1. Track 2 only
    2. Track 3 only
    3. Track 2 or 3
    4. None of these

  1. View Hint View Answer Discuss in Forum

    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.

    Correct Option: A

    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.



  1. 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:
    1. 6, 3, 5, 1, 4, 2
    2. 4, 6, ,3, 5, 1, 2
    3. 3, 4, 1, 6, 5, 3
    4. 2, 5, 1, 3, 6, 4

  1. View Hint View Answer Discuss in Forum

    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.

    Correct Option: D

    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.


Direction: Refer to the following statements and answer the questions:
Seven student Priya, Ankit, Raman, Sunil, Tony, Deepak and Vicky take a series of tests. No two students get similar marks. Vicky always scores more than Priya. Priya always scores more than Ankit. Each time either Raman scores the highest and Tony gets the least, or alternatively Sunil scores the highest and Deepak or Ankit scores the least.

  1. If Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true?
    1. Vicky is ranked first or fourth
    2. Raman is ranked second or third
    3. Tony is ranked fourth or fifth
    4. Deepak is ranked third or fourth

  1. View Hint View Answer Discuss in Forum

    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.

    Correct Option: D

    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.



  1. It Raman gets the highest, Vicky should be ranked not lower than
    1. Second
    2. Third
    3. Fourth
    4. Fifth

  1. View Hint View Answer Discuss in Forum

    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.

    Correct Option: C

    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.