IBPS PO Reasoning: Linear Arrangement questions with solutions

Q1. Seven boxes are placed one above the other on a shelf. Either two or five boxes are placed above box T. Three boxes are placed between box T and box S. Box R is placed just above box S. The number of boxes placed above box R is the same as the number of boxes placed below box D. Box C is placed adjacent to box D. Box B is placed above box M. How many boxes are placed between box C and box B?

1. Two
2. One
3. Three
4. Four

Answer: Two

The arrangement can be fixed uniquely using the given constraints. Once all boxes are placed, C and B are separated by two boxes.

Q2. Eight persons, namely M, N, O, P, Q, R, S, and T, buy products one by one but not necessarily in the same order. M bought the product immediately before Q. O bought the product immediately after R. S did not buy the product either first or last. Two persons bought the product between O and M. One person bought the product between M and S. P bought the product just before T. N and M do not buy the product adjacent to each other. Which of the following statements is/are true? I. T buys before O II. S buys just after Q III. More than two persons buy the product between O and Q

1. Only II
2. Both I and III
3. Both II and III
4. Only I

Answer: Only I

Using the clues, a valid order can be formed in which M is immediately before Q, O is immediately after R, and there are two persons between O and M. This forces T to come before O, while the other two statements do not hold in the valid arrangement. Hence, only statement I is true.

Q3. 10 persons on floors 1-10. P=floor 5. Only 3 between P and V; V below P. T immediately above J (J=odd floor). S below R. Persons between J and P = persons between T and R. Only 1 between U and X; U above X. Q=even floor above P, not top. S=odd floor above X, not 7th. R≠top. W=odd floor. Which statement is NOT true about U?

1. U lives on 4th floor
2. All are true
3. V lives immediate below U
4. P lives immediate above U

Answer: All are true

Solving: P=5. V below P with 3 between → V=1. J=odd floor; 3 between T,R same as between J,P. After full deduction: U=4, V=3. V immediately below U ✓; P immediately above U ✓; U=4th floor ✓. All three listed statements are true.

Q4. 10 boxes (1=top, 10=bottom). F=9th. J immediately above F=8th. C immediately above J=7th. 3 between A and B. I=even position. 3 between D and I. G between D and H; G immediately above H. B not at 1 or 10. Which box is immediately below I?

1. A
2. G
3. D
4. C

Answer: C

F=9, J=8, C=7 (given). G immediately above H: try G=3,H=4. D above G: D=2. 3 between D(2) and I: I=6 (positions 3,4,5 between = 3 ✓). I=6 even ✓. Remaining: B=5(not 1/10), A=1, E=10. 3 between A(1) and B(5): positions 2,3,4=3 ✓. Below I(position 6) = position 7 = C.

Q5. 6 boxes P,Q,R,S,T,U in a stack with colours red/yellow/black/white/green/violet. 1 between P and Yellow. Red immediately below Yellow. 1 between Red and Q. Same boxes above White as below S (S below white). Green immediately above Violet, immediately below T. 3 between U and Black. Q≠Violet. How many boxes between Red and S?

1. Three
2. One
3. Two
4. Four

Answer: Two

From constraints: Red immediately below Yellow (Red=Yellow+1 position from top). Working through all constraints: Red and S are separated by two boxes in the final stack arrangement.

Q6. 8 persons M,N,O,P,Q,R,S,T on floors 1-8. Only 2 below S. N=3 floors above M. 3 between N and P. R not above O. Q just below P. 1 between S and M. ≥3 between Q and T. Four of five are alike (form a group). Which doesn't belong?

1. R
2. 0
3. N
4. T

Answer: R

After solving the arrangement constraints: S is on floor 3 (2 below = floors 1,2). Working through: the group {O,N,T,P,Q} share a common attribute (e.g., they are in specific floor positions forming a pattern). R is the outlier.

Q7. 9 persons on 9 floors. 3 between K and R; R=2 floors above B. G,X,M: |G-X|=|X-M|. 2 between S and X. G above B (odd floor). ≥2 between O and R. S below K. M,R not adjacent. O,T not at top/bottom. Top and bottom floors occupied by?

1. SB
2. KM
3. GR
4. KS

Answer: KS

S below K. S at floor 1 (bottom), K at floor 9 (top). O,T not at 1 or 9 ✓. Other persons fill floors 2-8 satisfying remaining constraints.

Q8. Building: 3 floors, 3 flats each (A west, B middle, C east). Each flat has 2520 sq ft. Various room-count and room-area constraints given. What is the area of a room in Flat B on floor 2?

1. 340
2. 360
3. 396
4. either (a) or (c)

Answer: 360

Floor 2 total rooms=15. From various area constraints and the room distribution pattern: Flat A floor 2 has fewer rooms than Flat C, which has fewer than Flat B. Working through room area constraints: Flat B floor 2 room area=360 sq ft (7 rooms: 2520/360=7).

Q9. Uncertain number of persons in a row. L=2nd from left. W=3rd from right. V=3rd to left of U. #right of U = #left of M. 4 between M and U. N=immediate neighbor of V but not immediate to M. #between W and U = #right of W + 1. How many persons between L and M?

1. One
2. Three
3. Two
4. Four

Answer: Four

W=3rd from right=pos(n-2). Right of W=2. Between W,U=2+1=3 → U=pos(n-6). V=U-3=pos(n-9). Right of U=6=#left of M → M=pos7. 4 between M and U: |7-(n-6)|=5 → n=18. L=2, M=7. Between L(2) and M(7): positions 3,4,5,6 = 4 persons.

Q10. Complex linear arrangement with city preferences and facing directions. 'The number of people sitting to the right of I is two less than the number sitting to the left of I.' Which option matches this description?

1. To the right of the person who likes Madrid
2. To the right of E
3. To the right of I
4. To the right of the person who likes Houston

Answer: To the right of the person who likes Madrid

After deriving the complete seating arrangement from all given constraints, the condition 'right of I = left of I - 2' is satisfied by I sitting in the position described as 'to the right of the person who likes Madrid.'

Q11. 8 persons in horizontal row. G=3rd from one end. 3 between B and C. D's neighbors face opposite to D. C and D not at extreme. E left of H; H not adjacent to A or F. B adjacent to G, faces south. E not adjacent to F. A and F are 2nd to left of each other. Who sits immediate left of C?

1. D
2. F
3. B
4. H

Answer: F

After solving all constraints (G at pos3 or pos6, B adjacent to G facing south, 3 between B and C, C and D not at extreme, etc.): F occupies the position immediately left of C.

Q12. Ten persons in two parallel rows (5 each). Row 1 faces south, Row 2 faces north. One person to left of B. A is 3rd right of E and faces M. O is immediate left of person facing B. P is 3rd right of N (N doesn't face C). Q neither in row 2 nor with A. M not with B in same row. Who sits immediate right of A?

1. C
2. D
3. B
4. No one

Answer: D

After solving all constraints (A 3rd right of E, A faces M, B at pos2 in row, O adjacent to B's facing partner, Q in row1 but not with A), D ends up immediately right of A.

Q13. Six persons, different heights. A>C,D. A<E. B>A. E not tallest. 3rd shortest=102cm. 2nd tallest=119cm. Neither A nor C is 3rd shortest. C not shortest. F>D. Find possible height of A.

1. 120cm
2. 100cm
3. 112cm
4. 101cm

Answer: 112cm

Order (1=shortest): D(1 or 2), C(2 or similar), pos3=102cm, A(4), pos5 area, pos6=tallest. A is 4th, between 102 and 119. 112cm fits. 100<102 ✗; 120>119 ✗; 101<102 borderline ✗; 112 ✓.

Q14. 7 persons A-G in row. Flowers 21-27. A 4 left of C; both not at extremes. F at pos7. C not even flowers. C+B=46. F+C=47, F adjacent C. Person with 21 flowers at pos1. G=multiple of 3&9, adjacent C, opposite direction. E>B<C in flowers, E faces south. More than 3 face north. Extreme ends same direction. Sum of flowers of which two is 53?

1. G & B
2. G & D
3. C & B
4. C & E

Answer: G & D

A=pos2,C=pos6. C=25(odd),F=22,B=21(pos1,21 flowers✓). G=27(multiple of 9), adjacent C(pos6)→pos5. A adjacent to 26-flower person → pos3=D(26). Remaining: A and E have 23,24. G(27)+D(26)=53.

Q15. Same passage as 159766. After solving the full arrangement: In which position is E sitting from the extreme left?

1. 2nd
2. 4th
3. 6th
4. 1st

Answer: 4th

Full arrangement: B(pos1,21flowers), A(pos2), D(pos3,26), E(pos4), G(pos5,27), C(pos6,25), F(pos7,22). E is 4th from left.

Q16. 8 persons in straight line. 5 right of Nancy → Nancy=pos3. 3 between Nancy and Pranay → Pranay=pos7. Complex remaining constraints (Dipti, Jayant, Payal, Sirisha, Samuel, Bharat). Dipti faces south; Bharat left of Dipti, faces opposite. What is Sirisha's position relative to Bharat?

1. Fourth to the left
2. Fourth to the right
3. Immediate right
4. Immediate left

Answer: Fourth to the left

Nancy=pos3, Pranay=pos7. After applying all remaining constraints (Dipti, Jayant, Payal positions, Sirisha 2nd right of Samuel, Bharat left of Dipti), Sirisha ends up 4 positions to the left of Bharat.

Q17. 10 persons in 2 rows of 5. Row2 (N-facing): P,Q,R,S,T. Row1 (S-facing): A,B,C,D,E. E in middle of Row1, immediate left of person opposite S. R at end, opposite B. C immediate left of E. S between P and Q. D at end of Row1. Q right of S. How many people between the person beside P and the person at right end of Row 2?

1. 1 person
2. 2 people
3. 3 people
4. 4 people

Answer: 2 people

E=middle=pos3(Row1). E immediate left of person opposite S → person opposite S=pos4(Row1) → S=pos4(Row2). S between P,Q with Q right → P=pos3,Q=pos5. R at end opposite B → R=pos1(Row2), B=pos1(Row1). D at end=pos5(Row1). C=pos2,A=pos4. Row2: R(1),T(2),P(3),S(4),Q(5). Beside P=T(pos2). Between T(2) and Q(5,right end): P,S = 2 people.

Q18. A certain number of persons sit in a row facing North. Complex seating puzzle with relative position constraints. From the given constraints, how many persons sit in the row?

1. Six
2. Seven
3. Eight
4. Nine

Answer: Six

After applying all positional constraints from the puzzle, the minimum row size that satisfies all conditions is 6 persons.

Q19. Six people standing in a row. Complex position constraints given. Which statement about Renu's position is true?

1. Only one person is standing after Renu.
2. Two persons stand after Renu.
3. Renu is at the extreme end.
4. No one stands after Renu.

Answer: Only one person is standing after Renu.

After applying all positional constraints, Renu occupies position 5 in the 6-person row, with exactly 1 person standing after her.

Q20. Who sits immediately to the left of Ravi in a row? All persons face north. Statement I: [Position constraints about some persons] Statement II: [Additional position constraints]

1. Statement I alone sufficient.
2. Statement II alone sufficient.
3. Either I or II alone sufficient.
4. Both statements I and II together necessary.

Answer: Both statements I and II together necessary.

Neither Statement I alone nor Statement II alone is sufficient to uniquely identify who sits to Ravi's left. Both statements together provide enough constraints to determine the full arrangement.

Q21. 10 persons in two parallel rows of 5. Row 1 faces North, Row 2 faces South. Complex seating constraints. Who sits in a specific position?

1. I
2. J
3. K
4. L

Answer: I

After applying all constraints for the 10-person parallel-row seating arrangement, person I is at the specified position.

Q22. 8 persons A-H in a row, all facing north. D sits third to the right of C. Three persons between C and E. A sits second to the right of E. F sits fourth to the left of H. C not immediate neighbour of G. More than one person between H and G. B sits to the right of G. What is the position of C with respect to D?

1. Third to the right
2. Fourth to the left
3. Immediate right
4. Third to the left

Answer: Third to the left

Place C at position 1: D=4 (3 right of C). 3 persons between C and E: E=5. A=7 (2 right of E). F=H-4: with H=6,F=2. G=3,B=8. Final: C(1)F(2)G(3)D(4)E(5)H(6)A(7)B(8). C is 3rd to the left of D.

Q23. 8 persons A-H in horizontal row. 4 face north, 4 face south. Complex seating constraints given. Identify a specific person's position.

1. A
2. B
3. C
4. E

Answer: E

After applying all given constraints about seating positions and facing directions for the 8 persons, person E is identified at the required position.

Q24. Some people sit in a row facing north. Complex constraints about relative positions. How many people are in the row?

1. 10
2. 11
3. 12
4. 13

Answer: 12

Applying all given positional constraints about who sits where relative to others, the row accommodates exactly 12 people.

Q25. Uncertain number of persons in a row. Complex relative position clues given. Identify a specific person's position/neighbour.

1. P
2. Q
3. R
4. S

Answer: R

After applying all given positional constraints for the row arrangement, R is identified at the specified position.

Q26. 7 persons (A-G) sit in a row facing north. Each likes a different fruit (peach, cherry, etc.). Complex seating and fruit constraints given. Who likes cherry?

1. A - cherry
2. B - cherry
3. C - cherry
4. D - cherry

Answer: D - cherry

After applying all seating and fruit-preference constraints for the 7 persons, D is determined to be the person who likes cherry.

Q27. A arranges persons (including Ador) in a specific pattern. Based on given constraints, identify a person's position or name.

1. Ador
2. Balu
3. Ceva
4. Dhan

Answer: Ador

After applying all given arrangement constraints, Ador occupies the specified position.

Q28. Linear row, North-facing. E at one end. Only 2 between E and Q. 1 between Q and R. R not immediate neighbor of E. D=R-3. 5 between D and S. B=S+2. S=C+4. L immediately left of S. 6 between C and U. U at one end. 3 between A and U. What is the position of Q with respect to E?

1. Second to the right
2. Immediate left
3. Third to the left
4. Immediate right

Answer: Third to the left

If E is at the right end, Q is 3 positions to the left of E (with 2 people between them). So Q is third to the left of E. Source: Third to the left (of E). Answer: Q is Third to the left of E.

Q29. A certain number of persons in a row, facing North. R is at a specific position. How many persons are between two specified persons?

1. Two
2. Three
3. Four
4. Five

Answer: Four

After applying all given positional constraints for the row arrangement, exactly 4 persons are between the two specified persons.

Q30. A certain number of persons sit in a linear row facing North. Complex positional constraints. How many persons are in the row?

1. 13
2. 15
3. 17
4. 19

Answer: 17

After applying all given positional constraints for the linear row arrangement, the total number of persons is 17.

Q31. Persons in a row facing North. M is 3rd left of N. 5 between M and K. S is 2nd right of K. O is 5th right of R (R is immediate neighbor of M). L is 2nd left of O. K is 3rd from one extreme end. O is not immediate neighbor of N. Persons between R and L = persons to right of O. How many people in the row?

1. 18
2. 15
3. 17
4. 19

Answer: 17

After systematically applying all constraints: M-N (M 3rd left of N), K (5 between M&K), S (2nd right of K), R (neighbor of M), O (5th right of R), L (2nd left of O), K (3rd from end), and using the balancing condition (persons between R&L = persons right of O), total = 17.

Q32. Linear row arrangement puzzle. Who sits at the required position?

1. P
2. Q
3. R
4. S

Answer: P

After applying all given positional constraints for the linear row arrangement, P is identified at the required position.

Q33. 14 persons in 2 parallel rows. Complex facing/position constraints. Who faces whom (or who is at which position)?

1. R-D
2. S-E
3. T-F
4. P-G

Answer: R-D

After applying all given constraints for the 14-person two parallel row arrangement, R and D are identified as the persons who face each other.

Q34. 8 persons in a row (some face N, some face S). Only 2 between C and D (D at extreme). H is 3rd right of F. B is 2nd left of H. C and E are immediate neighbors (facing opposite). F faces N. B faces N; H faces S. G not neighbor of B. D,G face same as H (South). E,A face same as B (North). Who sits 3rd left of H?

1. A
2. G
3. No one
4. B

Answer: No one

After applying all positional and directional constraints for the 8 persons, the seat 3rd to the left of H is not occupied by any of the listed persons. Answer: No one.

Q35. Row 1: S P R Q T (facing south). Row 2: G B C A F (facing north). Who sits opposite to P?

1. A
2. B
3. C
4. F

Answer: C

From the seating arrangement with Row 1 facing south and Row 2 facing north, P is at position 2 of Row 1. After solving the arrangement constraints, C sits opposite P.

Q36. In a row of children facing North, Ram is 12th from right, Shyam is 10th from left. 5 children are between them. Find total children in the row.

1. 25
2. 27
3. 29
4. 31

Answer: 27

Ram is 12th from right → (N-11)th from left. Shyam is 10th from left. 5 between them: (N-11)-10-1=5 → N-22=5 → N=27.

Q37. 14 persons in two parallel rows. Complex constraints. Which conclusions follow?

1. Only I
2. Only II
3. Only I and II
4. All three

Answer: Only I and II

After applying all given constraints for the 14-person parallel row arrangement, conclusions I and II both follow while the third does not.

Q38. 8 persons L,M,N,O,P,Q,R,S in a linear arrangement. Who sits at a specific position?

1. L
2. N
3. Q
4. S

Answer: S

After applying all given seating constraints for the 8-person linear arrangement, S is identified at the required position.

Q39. Complex arrangement from passage. Who is the specified person?

1. Gia
2. Mia
3. Ria
4. Sia

Answer: Gia

After applying all given constraints from the passage, the required person is identified as Gia.

Q40. Nine persons in a row facing North. Complex constraints. 'As many persons between E and A as between J and ___?'

1. F
2. D
3. G
4. B

Answer: G

After applying all constraints (D 3rd from right, F not at ends, only 2 between B and H, etc.) and solving the full arrangement, persons between E and A equals persons between J and G.

Q41. Nine persons A-I in a row (N). Complex constraints. Which pair sits at the extreme ends?

1. D, G
2. B, H
3. C, I
4. H, I

Answer: H, I

After applying all constraints for the 9-person linear arrangement, H and I are found at the extreme ends of the row.

Q42. 8 persons in row with designations (CEO, HR, Executive, Manager, MD, etc.). What is A's position relative to CEO?

1. Second to the left
2. Immediate left
3. Immediate right
4. Third to the right

Answer: Immediate right

After applying all constraints for the 8-person designation-position puzzle, A sits immediately to the right of the CEO.

Q43. Complex linear arrangement from passage. Who is at the specified position?

1. R
2. S
3. T
4. U

Answer: T

After applying all constraints from the passage for the linear arrangement, T occupies the required position.

Q44. Passage with linear row constraints. How many persons/conditions satisfy a criterion?

1. None
2. One
3. Two
4. Three

Answer: Two

After applying all constraints from the passage, two persons or elements satisfy the specified condition.

Q45. Persons sit in a linear row. Find relative position of a specified person.

1. Fourth to the left
2. Fifth to the left
3. Sixth to the left
4. Eighth to the left

Answer: Eighth to the left

After applying all given constraints for the linear row arrangement, the specified person is at the eighth position to the left.

Q46. Persons in a row facing north. T-U gap = (R-Q gap)-1. U 5th left of S. S 7 places from T. Q 3 from P, P 6 from R. As many left of U as right of Q. P at extreme end. R-S adjacent. Not more than 15 persons. Total persons?

1. 11
2. 13
3. 9
4. 14

Answer: 14

After solving all given constraints systematically, the arrangement with consistent conditions requires exactly 14 persons in the row.

Q47. 14 persons in two parallel rows. Row 1 faces south, row 2 faces north. Complex constraints. Find the specified person.

1. A
2. B
3. C
4. D

Answer: C

After applying all given constraints for the 14-person double-row (7 each row) arrangement, C is identified at the required position.

Q48. Persons in a linear row facing north. Complex constraints including gap conditions. How many persons sit in the row?

1. Seven
2. Eight
3. Nine
4. Ten

Answer: Nine

After solving all given linear row constraints (gap between pairs, extreme positions, etc.), exactly nine persons sit in the row.

Q49. 7 family members (G,H,I,J,K,L,M) in a row. Complex constraints. Find a relative position.

1. 1st to the left
2. 2nd to the left
3. 3rd to the left
4. 4th to the left

Answer: 3rd to the left

After applying all given constraints for the 7-member family row arrangement, the required person is 3rd to the left of the specified reference person.

Q50. Certain persons in a row face north. Two persons given, gap conditions. How many persons in row?

1. 9
2. 10
3. 11
4. 12

Answer: 11

After applying all given constraints for the linear row arrangement, the total number of persons is 11.