Linear Arrangements Questions for MAH – CET 2022 | Download PDF
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Instructions
Study the following information to answer the given questions.
Eight friends— J, K, L, M, S, T, U and V are seated in a straight line, but not necessarily in the same order. Some are them are facing north while some face south.
♦ K sits second from the end of the line. U sits third to the left of K.
♦ T faces south. V sits fourth to the left of T. T is not an immediate neighbour of U. T does not sit at any of the extreme ends of the line.
♦ Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line.
♦ J faces a direction opposite to that of V. (i.e. If V faces north then J faces south and viceÂversa.)
♦ L sits second to the left of J.
♦ Immediate neighbours of K face opposite directions (i.e. if one neighbour faces north then the other faces south and viceÂversa.)
♦ Persons sitting at extreme ends face opposite directions (i.e. If one person faces north then the other person faces south and viceÂversa.)
♦ As many people sit between V and J as between U and S.
♦ Immediate neighbours of U face same directions (i.e. if one neighbour faces north then the other also faces north and viceÂversa).
Question 1:Â Which of the following is true based on the given arrangement ?
a)Â V sits at one of the extreme ends of the line.
b)Â L faces north.
c)Â None of the given options is true
d)Â Only three people face north
e)Â S and U face the same directions
Question 2:Â Who amongst the following faces north ?
a)Â L
b)Â M
c)Â J
d)Â K
e)Â S
Question 3:Â Who amongst the following sits third to the left of S ?
a)Â K
b)Â J
c)Â V
d)Â L
e)Â No one as less than three people sits to the left of S.
Question 4:Â How many people sit exactly between T and U ?
a)Â Four
b)Â Three
c)Â Two
d)Â More than four
e)Â One
Question 5:Â Who among the following represent the persons sitting at extreme ends of the line ?
a)Â M, V
b)Â M, S
c)Â L, V
d)Â M, L
e)Â S, V
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Instructions
Study the following information carefully and answer the questions given below :
Eight persons – H, I, J, K, L, M, N and O – are standing in a straight line at equidistant. Some of them are facing north while others are facing south. M is standing third to the right to H. M is standing at one of the extreme ends. L is standing third to the left of H. The immediate neighbours of J face north. N is not an immediate neighbour of H. The persons standing at the extreme ends face the same direction (Both are facing either north or south). The immediate neighbours of H face just opposite direction as that of M. The immediate neighbours of O face opposite directions with respect to each other. One of the immediate neighbours of L is K who is facing north. I is standing between J and M. Not more than four persons are facing north.
Question 6:Â Who among the following is third to the left of N?
a)Â K
b)Â J
c)Â H
d)Â I
e)Â O
Question 7:Â The immediate neighbours of L are :
a)Â M and N
b)Â N and O
c)Â K and N
d)Â N and H
e)Â J and H
Question 8:Â How many persons are standing exactly between I and O?
a)Â Three
b)Â Four
c)Â One
d)Â Two
e)Â None
Question 9:Â Who among the following is to the immediate left of H?
a)Â O
b)Â J
c)Â I
d)Â L
e)Â K
Question 10:Â Four of the following five are alike in a certain way based on the above arrangement and hence form a group. Which one of the following does not belong to that group?
a)Â N
b)Â L
c)Â O
d)Â J
e)Â K
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Answers & Solutions:
1) Answer (D)
K sits second from the end of the line and U sits third to the left of K, => Let K sits 2nd from left end, thus K faces south so that U sits 3rd to his left.
T faces south. V sits fourth to the left of T. T is not an immediate neighbour of U. T does not sit at any of the extreme ends of the line, => T sits to the immediate left of K and V sits 2nd from right end.
Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line, => J sits between U and V, while both U and V faces north.
J faces a direction opposite to that of V, => J faces south direction.
L sits second to the left of J, => L sits at extreme right end.
As many people sit between V and J as between U and S, => S sits to the immediate left of U and thus M at left end.
Immediate neighbours of K face opposite directions, => M faces north.
Persons sitting at extreme ends face opposite directions, => L faces south.
Immediate neighbours of U face same directions, => S faces south direction.
The only true statement is that only three people face north.
=> Ans – (D)
2) Answer (B)
K sits second from the end of the line and U sits third to the left of K, => Let K sits 2nd from left end, thus K faces south so that U sits 3rd to his left.
T faces south. V sits fourth to the left of T. T is not an immediate neighbour of U. T does not sit at any of the extreme ends of the line, => T sits to the immediate left of K and V sits 2nd from right end.
Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line, => J sits between U and V, while both U and V faces north.
J faces a direction opposite to that of V, => J faces south direction.
L sits second to the left of J, => L sits at extreme right end.
As many people sit between V and J as between U and S, => S sits to the immediate left of U and thus M at left end.
Immediate neighbours of K face opposite directions, => M faces north.
Persons sitting at extreme ends face opposite directions, => L faces south.
Immediate neighbours of U face same directions, => S faces south direction.
Among the given options, only M faces north.
=> Ans – (B)
3) Answer (C)
K sits second from the end of the line and U sits third to the left of K, => Let K sits 2nd from left end, thus K faces south so that U sits 3rd to his left.
T faces south. V sits fourth to the left of T. T is not an immediate neighbour of U. T does not sit at any of the extreme ends of the line, => T sits to the immediate left of K and V sits 2nd from right end.
Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line, => J sits between U and V, while both U and V faces north.
J faces a direction opposite to that of V, => J faces south direction.
L sits second to the left of J, => L sits at extreme right end.
As many people sit between V and J as between U and S, => S sits to the immediate left of U and thus M at left end.
Immediate neighbours of K face opposite directions, => M faces north.
Persons sitting at extreme ends face opposite directions, => L faces south.
Immediate neighbours of U face same directions, => S faces south direction.
VÂ sits third to the left of S.
=> Ans – (C)
4) Answer (E)
K sits second from the end of the line and U sits third to the left of K, => Let K sits 2nd from left end, thus K faces south so that U sits 3rd to his left.
T faces south. V sits fourth to the left of T. T is not an immediate neighbour of U. T does not sit at any of the extreme ends of the line, => T sits to the immediate left of K and V sits 2nd from right end.
Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line, => J sits between U and V, while both U and V faces north.
J faces a direction opposite to that of V, => J faces south direction.
L sits second to the left of J, => L sits at extreme right end.
As many people sit between V and J as between U and S, => S sits to the immediate left of U and thus M at left end.
Immediate neighbours of K face opposite directions, => M faces north.
Persons sitting at extreme ends face opposite directions, => L faces south.
Immediate neighbours of U face same directions, => S faces south direction.
Only 1Â person (S) sit exactly between T and U.
=> Ans – (E)
5) Answer (D)
K sits second from the end of the line and U sits third to the left of K, => Let K sits 2nd from left end, thus K faces south so that U sits 3rd to his left.
T faces south. V sits fourth to the left of T. T is not an immediate neighbour of U. T does not sit at any of the extreme ends of the line, => T sits to the immediate left of K and V sits 2nd from right end.
Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line, => J sits between U and V, while both U and V faces north.
J faces a direction opposite to that of V, => J faces south direction.
L sits second to the left of J, => L sits at extreme right end.
As many people sit between V and J as between U and S, => S sits to the immediate left of U and thus M at left end.
Immediate neighbours of K face opposite directions, => M faces north.
Persons sitting at extreme ends face opposite directions, => L faces south.
Immediate neighbours of U face same directions, => S faces south direction.
M and L are sitting at extreme ends of the line.
=> Ans – (D)
6) Answer (B)
M is standing third to the right to H and M is standing at one of the extreme ends, => let M is standing at right end, thus H is facing north direction.
L is standing third to the left of H, => L is standing 2nd from left end.
I is standing between J and M, => J is standing to the immediate right of H and I between J and M.
N is not an immediate neighbour of H and one of the immediate neighbours of L is K who is facing north, => O is standing to the immediate left of H.
The immediate neighbours of O face opposite directions with respect to each other, => since H faces north, the other neighbour has to face south (which can’t be K), thus N faces south direction and stands between L and O. Thus, K stands at extreme left end facing north.
The persons standing at the extreme ends face the same direction, => M faces north
The immediate neighbours of J face north, => I also face north.
Not more than four persons are facing north, => L, O and J face south direction.
JÂ is third to the left of N.
=> Ans – (B)
7) Answer (C)
M is standing third to the right to H and M is standing at one of the extreme ends, => let M is standing at right end, thus H is facing north direction.
L is standing third to the left of H, => L is standing 2nd from left end.
I is standing between J and M, => J is standing to the immediate right of H and I between J and M.
N is not an immediate neighbour of H and one of the immediate neighbours of L is K who is facing north, => O is standing to the immediate left of H.
The immediate neighbours of O face opposite directions with respect to each other, => since H faces north, the other neighbour has to face south (which can’t be K), thus N faces south direction and stands between L and O. Thus, K stands at extreme left end facing north.
The persons standing at the extreme ends face the same direction, => M faces north
The immediate neighbours of J face north, => I also face north.
Not more than four persons are facing north, => L, O and J face south direction.
The immediate neighbours of L are K and N.
=> Ans – (C)
8) Answer (D)
M is standing third to the right to H and M is standing at one of the extreme ends, => let M is standing at right end, thus H is facing north direction.
L is standing third to the left of H, => L is standing 2nd from left end.
I is standing between J and M, => J is standing to the immediate right of H and I between J and M.
N is not an immediate neighbour of H and one of the immediate neighbours of L is K who is facing north, => O is standing to the immediate left of H.
The immediate neighbours of O face opposite directions with respect to each other, => since H faces north, the other neighbour has to face south (which can’t be K), thus N faces south direction and stands between L and O. Thus, K stands at extreme left end facing north.
The persons standing at the extreme ends face the same direction, => M faces north
The immediate neighbours of J face north, => I also face north.
Not more than four persons are facing north, => L, O and J face south direction.
2Â persons (H,J) are standing exactly between I and O.
=> Ans – (D)
9) Answer (A)
M is standing third to the right to H and M is standing at one of the extreme ends, => let M is standing at right end, thus H is facing north direction.
L is standing third to the left of H, => L is standing 2nd from left end.
I is standing between J and M, => J is standing to the immediate right of H and I between J and M.
N is not an immediate neighbour of H and one of the immediate neighbours of L is K who is facing north, => O is standing to the immediate left of H.
The immediate neighbours of O face opposite directions with respect to each other, => since H faces north, the other neighbour has to face south (which can’t be K), thus N faces south direction and stands between L and O. Thus, K stands at extreme left end facing north.
The persons standing at the extreme ends face the same direction, => M faces north
The immediate neighbours of J face north, => I also face north.
Not more than four persons are facing north, => L, O and J face south direction.
OÂ is to the immediate left of H.
=> Ans – (A)
10) Answer (E)
M is standing third to the right to H and M is standing at one of the extreme ends, => let M is standing at right end, thus H is facing north direction.
L is standing third to the left of H, => L is standing 2nd from left end.
I is standing between J and M, => J is standing to the immediate right of H and I between J and M.
N is not an immediate neighbour of H and one of the immediate neighbours of L is K who is facing north, => O is standing to the immediate left of H.
The immediate neighbours of O face opposite directions with respect to each other, => since H faces north, the other neighbour has to face south (which can’t be K), thus N faces south direction and stands between L and O. Thus, K stands at extreme left end facing north.
The persons standing at the extreme ends face the same direction, => M faces north
The immediate neighbours of J face north, => I also face north.
Not more than four persons are facing north, => L, O and J face south direction.
Apart from K, all are facing south.
=> Ans – (E)