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# Important Questions of Linear Arrangement for MAH-CET

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 1: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 2: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 3: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 4: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 5: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)

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Question 6: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 7: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)

Instructions

Study the following information carefully to answer the given questions

Seven personsâ€” A, B, C, D, K, L and N â€” are seated in a straight line facing north in ascending order of their salaries. N earns more than L and D. N earns more than A but he does not earn the highest. A earns more than L. The person who earns the second highest receives a salary of Rs. 35,000 while the third lowest earner receives Rs. 23,000. K earns less than L but more than D. C earns Rs. 18,000.

Question 8:Â Who among the following earn(s) more than Rs. 23,000 but less than Rs. 35,000?

a)Â Only A

b)Â Only L

c)Â A and L

d)Â K and L

e)Â A and N

Solution:

N earns more than L and D. N earns more than A, => N > L, D, A

A earns more than L, => A > L

K earns less than L but more than D, => L > K > D

Also, N does not earn the highest andÂ C earns Rs. 18,000, combining above statements, we getÂ :

B > N > A > L > K > D , C

N earns = Rs. 35,000 and K earns = Rs. 23,000

A and LÂ earn more than Rs. 23,000 but less than Rs. 35,000

=> Ans – (C)

Question 9:Â Who among the following may earn Rs. 21,000?

a)Â K

b)Â D

c)Â L

d)Â C

e)Â N

Solution:

N earns more than L and D. N earns more than A, => N > L, D, A

A earns more than L, => A > L

K earns less than L but more than D, => L > K > D

Also, N does not earn the highest andÂ C earns Rs. 18,000, combining above statements, we getÂ :

B > N > A > L > K > D , C

N earns = Rs. 35,000 and K earns = Rs. 23,000

D may earn Rs. 21,000

=> Ans – (B)

Question 10:Â Who among the following earns more than K but less than A?

a)Â C

b)Â N

c)Â D

d)Â L

e)Â B

Solution:

N earns more than L and D. N earns more than A, => N > L, D, A

A earns more than L, => A > L

K earns less than L but more than D, => L > K > D

Also, N does not earn the highest andÂ C earns Rs. 18,000, combining above statements, we getÂ :

B > N > A > L > K > D , C

N earns = Rs. 35,000 and K earns = Rs. 23,000

LÂ earns more than K but less than A.

=> Ans – (D)