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# MAH-CET Linear Arrangements Questions [Download PDF]

Instructions

Study the following information to answer the given questions.
Eight friendsâ€” 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.
â™¦ K sits second from the end of the line. U sits third to the left of K.
â™¦ 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.
â™¦ Both the immediate neighbours of J face north. J does not sit at any of the extreme ends of the line.
â™¦ J faces a direction opposite to that of V. (i.e. If V faces north then J faces south and viceÂ­versa.)
â™¦ L sits second to the left of J.
â™¦ Immediate neighbours of K face opposite directions (i.e. if one neighbour faces north then the other faces south and viceÂ­versa.)
â™¦ Persons sitting at extreme ends face opposite directions (i.e. If one person faces north then the other person faces south and viceÂ­versa.)
â™¦ As many people sit between V and J as between U and S.
â™¦ 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

Solution:

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)

Question 2:Â Who amongst the following faces north ?

a)Â L

b)Â M

c)Â J

d)Â K

e)Â S

Solution:

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)

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.

Solution:

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)

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

Solution:

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)

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

Solution:

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 areÂ sitting at extreme ends of the line.

=> Ans – (D)

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

Solution:

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,Â O and J face south direction.

JÂ is third to the left of N.

=> Ans – (B)

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

Solution:

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,Â O and J face south direction.

The immediate neighbours of L areÂ K and N.

=> Ans – (C)

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

Solution:

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,Â O and J face south direction.

2Â persons (H,J) are standing exactly between I and O.

=> Ans – (D)

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

Solution:

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,Â O and J face south direction.

OÂ is to the immediate left of H.

=> Ans – (A)

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

Solution:

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,Â O and J face south direction.

Apart from K, all are facing south.

=> Ans – (E)

Question 11:Â Who among the following is exactly between L and J?

a)Â N

b)Â O

c)Â H

d)Â I

e)Â None

Solution:

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,Â O and J face south direction.

OÂ is exactly between L and J.

=> Ans – (B)

Question 12:Â Who among the following is fourth to the right of J?

a)Â N

b)Â I

c)Â H

d)Â L

e)Â K

Solution:

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,Â O and J face south direction.

LÂ is fourth to the right of J.

=> Ans – (D)

Instructions

Study the following information carefully and answer the
questions given below :
Eight friends â€” C, D, E, F, N, O, P and Q â€” are sitting in a straight line facing north but
not necessarily in the same order. O is sitting second to the right of P. E is sitting third to
the left of Q. F is sitting fourth to the left of P. E does not sit on the extreme end of the
line. D is immediate neighbour of neither F nor P. C is not an immediate neighbour of P.

Question 13:Â Which of the following pairs represents the two persons sitting at the extreme ends of the line ?

a)Â F, C

b)Â D, F

c)Â C, Q

d)Â N, D

e)Â O, F

Solution:

O is sitting second to the right of P and F is sitting fourth to the left of P, => Let F is sitting at extreme left end of the row, thus O sits 2nd from the right end.

E is sitting third to the left of Q, => E sits second to the right of F and Q sits between P and D.

D is immediate neighbour of neither F nor P, => D sits at the extreme right end.

C is not an immediate neighbour of P, => C sits to the immediate right of F.

F and D areÂ sitting at the extreme ends of the line.

=> Ans – (B)

Question 14:Â Which of the following statements is definitely true as per the given arrangement ?

a)Â F and E are immediate neighbours of P.

b)Â C is sitting third to the right of Q.

c)Â There are only three persons between D and E.

d)Â N is sitting to the immediate left of P.

e)Â All the given statements are true

Solution:

O is sitting second to the right of P and F is sitting fourth to the left of P, => Let F is sitting at extreme left end of the row, thus O sits 2nd from the right end.

E is sitting third to the left of Q, => E sits second to the right of F and Q sits between P and D.

D is immediate neighbour of neither F nor P, => D sits at the extreme right end.

C is not an immediate neighbour of P, => C sits to the immediate right of F.

The only true statement is thatÂ N is sitting to the immediate left of P.

=> Ans – (D)

Question 15:Â Who among the following is sitting third to the right of N ?

a)Â O

b)Â D

c)Â C

d)Â E

e)Â Q

Solution:

O is sitting second to the right of P and F is sitting fourth to the left of P, => Let F is sitting at extreme left end of the row, thus O sits 2nd from the right end.

E is sitting third to the left of Q, => E sits second to the right of F and Q sits between P and D.

D is immediate neighbour of neither F nor P, => D sits at the extreme right end.

C is not an immediate neighbour of P, => C sits to the immediate right of F.

OÂ is sitting third to the right of N.

=> Ans – (A)

Question 16:Â What is the position of C with respect to Q ?

a)Â Fourth to the right

b)Â Third to the right

c)Â Fourth to the left

d)Â Third to the left

e)Â Second to the right

Solution:

O is sitting second to the right of P and F is sitting fourth to the left of P, => Let F is sitting at extreme left end of the row, thus O sits 2nd from the right end.

E is sitting third to the left of Q, => E sits second to the right of F and Q sits between P and D.

D is immediate neighbour of neither F nor P, => D sits at the extreme right end.

C is not an immediate neighbour of P, => C sits to the immediate right of F.

C is 4th to the left of Q.

=> Ans – (C)

Question 17:Â Four of the following five are alike in a certain way based on the givenarrangement and hence they form a group. Which one of the following does not belong to that group ?

a)Â FN

b)Â PD

c)Â EQ

d)Â CP

e)Â NQ

Solution:

O is sitting second to the right of P and F is sitting fourth to the left of P, => Let F is sitting at extreme left end of the row, thus O sits 2nd from the right end.

E is sitting third to the left of Q, => E sits second to the right of F and Q sits between P and D.

D is immediate neighbour of neither F nor P, => D sits at the extreme right end.

C is not an immediate neighbour of P, => C sits to the immediate right of F.

Except for NQ, there are two persons sitting between each of the given pairs.

=> Ans – (E)