## Linear Arrangement

#### Linear Arrangement

Direction: Study the following information carefully to answer the given questions:
Each of the six friend - A, B, C, D, E and F - scored different marks in an examination. C scored more than only A and E. D scored less than only B. E did not score the least. The one who scored the third highest marks scored the third highest marks scored 81 marks. E scored 62 marks.

1. The person who scored the maximum scored 13 marks more than F's marks. Which o the following can be D's score?

1. _ > _ > _ > _ C > A, E ...........(i)
B > D > _ > _ > _ > _ ...........(ii)
Since E did not score the least, we get B > D > F (81) > C > E (62) > A
is the correct answer; B's score is maximum according to above sequence. F has scored 81 marks. Then B's score = 81 + 13 = 94 marks and D is between B and F. D is most likely to score 89 marks.

##### Correct Option: C

_ > _ > _ > _ C > A, E ...........(i)
B > D > _ > _ > _ > _ ...........(ii)
Since E did not score the least, we get B > D > F (81) > C > E (62) > A
is the correct answer; B's score is maximum according to above sequence. F has scored 81 marks. Then B's score = 81 + 13 = 94 marks and D is between B and F. D is most likely to score 89 marks.

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. What is the earliest time when Ajay can complete all tasks?

1. From the solution of previous questions Ajay completed tasks at 3 pm.

##### Correct Option: B

From the solution of previous questions Ajay completed tasks at 3 pm.

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

1. 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. 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. 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.