Linear Arrangement

Linear Arrangement

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Direction: Study the following information to answer the given questions:
Ajay would do five tasks: A, B, C, D and E, stating at 9 am in the morning. A is the first task and takes two hours. B can be done after A is completed and requires 1 hour. Work on C which would take 1 hour can start only after A and B are complete. Ajay can do task D along with B and C and would take 3 hours for that. Activity E with duration of 1 hour can start on completion of A, B, C and D.

  1. If Ajay takes 2 hours for B and completes other preceding tasks without delay, when can E starts?








  1. View Hint View Answer Discuss in Forum

    From the above solution E start from 2 pm.

    Correct Option: C

    From the above solution E start from 2 pm.

  1. What is the earliest time when Ajay would compete C?








  1. View Hint View Answer Discuss in Forum

    Given takes are A, B, C, D, E (here we will assume the condition to complete the work at the earliest)
    From the 1stcondition- Task A → from 11 am to 9 am to 11 am,
    From the 2nd condition B → From 11 am to 12 noon (Since it has started after completion of A)
    From the 3rd condition C → From 12 noon to 1 pm
    Task D's one hour work will be done along with B.
    D's second hour work will be done along with C.
    Hence to commence E, D must complete 3 hrs.
    Hence timing of task D → from 11 am to 2 pm and
    After this the remaining task E → From 2 pm to 3 pm

    Correct Option: C

    Given takes are A, B, C, D, E (here we will assume the condition to complete the work at the earliest)
    From the 1stcondition- Task A → from 11 am to 9 am to 11 am,
    From the 2nd condition B → From 11 am to 12 noon (Since it has started after completion of A)
    From the 3rd condition C → From 12 noon to 1 pm
    Task D's one hour work will be done along with B.
    D's second hour work will be done along with C.
    Hence to commence E, D must complete 3 hrs.
    Hence timing of task D → from 11 am to 2 pm and
    After this the remaining task E → From 2 pm to 3 pm

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. If the Nepalese is in Track 3, the Chinese in Track 1, then the Indian could be in:








  1. View Hint View Answer Discuss in Forum

    There are five tracks T1 T2 T3 T4 T5
    Chines ---Indian (Chinese is let o Indian)
    Chinese Indian and the Iraqi Nepalese Iraqi/Indian Englishmen.
    Hence the Indian and the Iraqi should be in track 2 and track 4 in any order.

    Correct Option: C

    There are five tracks T1 T2 T3 T4 T5
    Chines ---Indian (Chinese is let o Indian)
    Chinese Indian and the Iraqi Nepalese Iraqi/Indian Englishmen.
    Hence the Indian and the Iraqi should be in track 2 and track 4 in any order.

  1. it the Nepalese is in Track 4 and the Indian is in Track 3, then the english man coul;d be in :








  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. 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.