Sitting Arrangement Aptitude MCQ Questions with Answers Set 02

Practice MCQs for General Aptitude Arithmetic Ability Sitting Arrangement

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Multiple Choice Questions

Question 1: Five friends A, B, C, D and E are sitting on a bench in a park.
(a) A is sitting next to B.
(b) C is sitting next to D.
(c) D is not sitting with E.
(d) A is to the right of B and E.
(e) E is at the left end of the bench.
(f) C is at the second position from the right.
(g) A and C are sitting together.

Where is A sitting?
(a) Between B and D
(b) Between D and C
(c) Between C and E
(d) Between B and C
Show Answer & Explanation

Answer: (d) Between B and C

Explanation:
1. Fixing E at the left end and C second from the right gives E _ _ C _.
2. A sits with C and also next to B, and A is to the right of B, so the order is E B A C _.
3. C is next to D, so D takes the last seat: E B A C D.
4. A is between B and C.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 2: Five friends A, B, C, D and E are sitting on a bench in a park.
(a) A is sitting next to B.
(b) C is sitting next to D.
(c) D is not sitting with E.
(d) A is to the right of B and E.
(e) E is at the left end of the bench.
(f) C is at the second position from the right.
(g) A and C are sitting together.

Who are sitting on either side of C?
(a) A and E
(b) A and D
(c) B and D
(d) D and E
Show Answer & Explanation

Answer: (b) A and D

Explanation:
1. Fixing E at the left end and C second from the right gives E _ _ C _.
2. A is next to both B and C with A right of B, giving E B A C _; D fills the last seat.
3. Final order: E B A C D. The neighbours of C are A and D.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 3: Five friends A, B, C, D and E are sitting on a bench in a park.
(a) A is sitting next to B.
(b) C is sitting next to D.
(c) D is not sitting with E.
(d) A is to the right of B and E.
(e) E is at the left end of the bench.
(f) C is at the second position from the right.
(g) A and C are sitting together.

What is the position of B?
(a) Extreme left
(b) Centre
(c) Second from left
(d) Second from right
Show Answer & Explanation

Answer: (c) Second from left

Explanation:
1. Fixing E at the left end and C second from the right gives E _ _ C _.
2. A must be between B and C, so B is in seat 2: E B A C _.
3. D takes the right end: E B A C D. B is second from the left.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 4: Five friends A, B, C, D and E are sitting on a bench in a park.
(a) A is sitting next to B.
(b) C is sitting next to D.
(c) D is not sitting with E.
(d) A is to the right of B and E.
(e) E is at the left end of the bench.
(f) C is at the second position from the right.
(g) A and C are sitting together.

Who is sitting at the centre?
(a) B
(b) D
(c) C
(d) A
Show Answer & Explanation

Answer: (d) A

Explanation:
1. Fixing E at the left end and C second from the right gives E _ _ C _.
2. A sits between B and C, giving E B A C D.
3. The centre (3rd) seat of five is taken by A.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 5: Five friends A, B, C, D and E are sitting on a bench in a park.
(a) A is sitting next to B.
(b) C is sitting next to D.
(c) D is not sitting with E.
(d) A is to the right of B and E.
(e) E is at the left end of the bench.
(f) C is at the second position from the right.
(g) A and C are sitting together.

What is the position of D?
(a) Extreme right
(b) Second from left
(c) Third from left
(d) Extreme left
Show Answer & Explanation

Answer: (a) Extreme right

Explanation:
1. Fixing E at the left end and C second from the right gives E _ _ C _.
2. B and A fill seats 2 and 3, leaving only the right-end seat for D.
3. Final order E B A C D: D is at the extreme right.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 6: Seven girls, Ramya, Simran, Vinutha, Mandakini, Urmila, Preethi and Kinnera, are sitting in a row. Simran is sitting to the immediate left of Vinutha and third to the right of Ramya, whereas Mandakini, who is sitting at the extreme left, is sitting next to Kinnera.

Who is sitting to the immediate left of Ramya?
(a) Mandakini
(b) Urmila
(c) Kinnera
(d) Preethi
(e) Cannot be determined
Show Answer & Explanation

Answer: (c) Kinnera

Explanation:
1. Mandakini is at the extreme left with Kinnera next to her: M K _ _ _ _ _.
2. Ramya, then two seats, then Simran with Vinutha to her right needs five seats, so they fill seats 3 to 7: M K R _ _ S V.
3. Seat 2, just left of Ramya, belongs to Kinnera.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 7: Seven girls, Ramya, Simran, Vinutha, Mandakini, Urmila, Preethi and Kinnera, are sitting in a row. Simran is sitting to the immediate left of Vinutha and third to the right of Ramya, whereas Mandakini, who is sitting at the extreme left, is sitting next to Kinnera.

If Vinutha and Kinnera mutually exchange their places without any change in the arrangement of other positions, who will be sitting to the immediate left of Ramya?
(a) Kinnera
(b) Preethi
(c) Urmila
(d) Vinutha
(e) None of these
Show Answer & Explanation

Answer: (d) Vinutha

Explanation:
1. Mandakini is at the extreme left with Kinnera next to her: M K _ _ _ _ _.
2. Ramya, then two seats, then Simran with Vinutha to her right needs five seats, so they fill seats 3 to 7: M K R _ _ S V.
3. After the swap Vinutha sits in seat 2, immediately left of Ramya.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 8: Seven girls, Ramya, Simran, Vinutha, Mandakini, Urmila, Preethi and Kinnera, are sitting in a row. Simran is sitting to the immediate left of Vinutha and third to the right of Ramya, whereas Mandakini, who is sitting at the extreme left, is sitting next to Kinnera.

If only Simran is sitting between Preethi and Vinutha, who is sitting exactly at the centre?
(a) Preethi
(b) Urmila
(c) Vinutha
(d) Ramya
(e) None of these
Show Answer & Explanation

Answer: (b) Urmila

Explanation:
1. Mandakini is at the extreme left with Kinnera next to her: M K _ _ _ _ _.
2. Ramya, then two seats, then Simran with Vinutha to her right needs five seats, so they fill seats 3 to 7: M K R _ _ S V.
3. Preethi and Urmila take seats 4 and 5 in some order.
4. Only Simran between Preethi and Vinutha puts Preethi in seat 5, so Urmila is in seat 4: M K R U P S V. Seat 4 is the centre.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 9: Seven girls, Ramya, Simran, Vinutha, Mandakini, Urmila, Preethi and Kinnera, are sitting in a row. Simran is sitting to the immediate left of Vinutha and third to the right of Ramya, whereas Mandakini, who is sitting at the extreme left, is sitting next to Kinnera.

If Ramya exchanges her place with Mandakini and Vinutha exchanges her place with Urmila, then how many girls will be there between Urmila and Ramya?
(a) Two
(b) Three
(c) Four
(d) Five
(e) Cannot be determined
Show Answer & Explanation

Answer: (d) Five

Explanation:
1. Mandakini is at the extreme left with Kinnera next to her: M K _ _ _ _ _. Ramya, then two seats, then Simran with Vinutha to her right needs five seats, so they fill seats 3 to 7: M K R _ _ S V.
2. Preethi and Urmila take seats 4 and 5 in some order.
3. After the swaps Ramya is in seat 1 and Urmila in seat 7: R K M (P/V) (V/P) S U.
4. Seats 2 to 6 lie between them, so five girls are in between.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 10: Seven girls, Ramya, Simran, Vinutha, Mandakini, Urmila, Preethi and Kinnera, are sitting in a row. Simran is sitting to the immediate left of Vinutha and third to the right of Ramya, whereas Mandakini, who is sitting at the extreme left, is sitting next to Kinnera.

In addition to the above statements, which of the following statements cannot specify the seating position of every girl?
(a) Ramya and Simran have two girls sitting between them.
(b) Vinutha and Urmila have two girls between them.
(c) Mandakini and Preethi have two girls between them.
(d) There are two girls sitting between Preethi and Kinnera.
(e) Every statement given above specifies the seating arrangement of every girl.
Show Answer & Explanation

Answer: (a) Ramya and Simran have two girls sitting between them.

Explanation:
1. Mandakini is at the extreme left with Kinnera next to her: M K _ _ _ _ _. Ramya, then two seats, then Simran with Vinutha to her right needs five seats, so they fill seats 3 to 7: M K R _ _ S V.
2. Preethi and Urmila take seats 4 and 5 in some order.
3. Option (a) is already true in both arrangements, so Preethi and Urmila stay undecided.
4. Options (b), (c) and (d) each fix Preethi or Urmila in seat 4 or 5, so they settle the full order.

Teacher's Note:
1. Draw a row of blanks and fix the definite positions (ends, centre) before using comparisons.
2. When people face North, their left and right are the same as your left and right on the page.

Question 11: P, Q, R, S and T sit around a circular table (facing the centre) and play 'Rummy'. P is sitting one seat away to the left of R, and Q is sitting one seat away to the right of R.

If S sits between Q and R, who sits to the immediate right of P?
(a) T
(b) S
(c) Q
(d) R
Show Answer & Explanation

Answer: (a) T

Explanation:
1. Going clockwise (left for people facing the centre) from R: R, _, P, Q, _. The two blanks hold S and T.
2. S between Q and R fills the blank next to Q, so T sits between R and P.
3. Going anticlockwise (right) from P the next seat is T.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 12: P, Q, R, S and T sit around a circular table (facing the centre) and play 'Rummy'. P is sitting one seat away to the left of R, and Q is sitting one seat away to the right of R.

Which of the following cannot be the correct seating arrangement of these persons either in clockwise or anticlockwise direction?
(a) P Q R S T
(b) P S R T Q
(c) P Q S R T
(d) P T R S Q
Show Answer & Explanation

Answer: (a) P Q R S T

Explanation:
1. P and Q must each be exactly two seats away from R, with one person between.
2. In P Q R S T, Q sits right next to R, which breaks the condition.
3. The other three orders all keep P and Q two seats from R on opposite sides.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 13: P, Q, R, S and T sit around a circular table (facing the centre) and play 'Rummy'. P is sitting one seat away to the left of R, and Q is sitting one seat away to the right of R.

If S is not sitting next to Q, who is sitting between Q and S?
(a) R
(b) P
(c) T
(d) Cannot be determined
Show Answer & Explanation

Answer: (b) P

Explanation:
1. Going clockwise (left for people facing the centre) from R: R, _, P, Q, _. The two blanks hold S and T.
2. The blank next to Q must then be T, so S sits between R and P.
3. Order around the table: R, S, P, Q, T. P is the person between Q and S.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 14: P, Q, R, S and T sit around a circular table (facing the centre) and play 'Rummy'. P is sitting one seat away to the left of R, and Q is sitting one seat away to the right of R.

If another person U joins the game, but does not sit next to R, whereas the others sit in their earlier positions, then which of the following statements is correct?
(a) U sits to the immediate right of S
(b) U sits to the immediate left of P
(c) U sits to the immediate left of T
(d) Either (a) or (b)
Show Answer & Explanation

Answer: (b) U sits to the immediate left of P

Explanation:
1. P and Q must remain exactly one seat away from R, so U cannot enter the gaps between R and P or between R and Q.
2. The only remaining gap is between P and Q.
3. Going clockwise: P, U, Q. So U is to the immediate left of P.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 15: In a March past, seven persons are standing in a row. Q is standing to the left of R but to the right of P. O is standing to the right of N and to the left of P. Similarly, S is standing to the right of R and to the left of T. Find out who is standing in the middle.
(a) P
(b) Q
(c) R
(d) O
Show Answer & Explanation

Answer: (b) Q

Explanation:
1. From the clues: P, Q, R in that order; N, O, P in that order; R, S, T in that order.
2. Joining them: N, O, P, Q, R, S, T.
3. The 4th of seven, the middle person, is Q.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

Question 16: In a shop, there were 4 dolls of different heights A, B, C and D. D is neither as tall as A nor as short as C. B is shorter than D but taller than C. If Mani wants to purchase the tallest doll, which one should she purchase?
(a) Only A
(b) Only B
(c) Either A or D
(d) Either B or D
Show Answer & Explanation

Answer: (a) Only A

Explanation:
1. D is shorter than A and taller than C: C < D < A.
2. B is between C and D: C < B < D.
3. So C < B < D < A, and A is the tallest.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

Question 17: Six students A, B, C, D, E and F are sitting in a field. A and B are from Delhi while the rest are from Bangalore. D and F are tall while others are short. A, C and D are girls while others are boys. Which is the tall girl from Bangalore?
(a) C
(b) D
(c) E
(d) F
Show Answer & Explanation

Answer: (b) D

Explanation:
1. From Bangalore: C, D, E, F. Tall: D, F. Girls: A, C, D.
2. Only D appears in all three groups.

Teacher's Note:
1. Make a small table with one row per person and one column per property, then tick the boxes.
2. Read the question carefully: it often asks for a person who satisfies three conditions at once.

Question 18: Six persons A, B, C, D, E and F are sitting in a circle facing the centre. B is between F and C; A is between E and D; F is to the immediate left of D. Who is between A and F?
(a) B
(b) C
(c) D
(d) A
Show Answer & Explanation

Answer: (c) D

Explanation:
1. B between F and C gives the block F B C; A between E and D gives the block E A D.
2. F is next to D, so the blocks join at F and D: C B F D A E around the circle.
3. D sits between A and F.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 19: P, Q, R, S and T are sitting around a circular table facing the centre. R is to the right of P and is second to the left of S. T is not between P and S. Who is second to the left of R?
(a) Q
(b) S
(c) T
(d) Data inadequate
Show Answer & Explanation

Answer: (a) Q

Explanation:
1. Facing the centre, left is clockwise. R is to the right of P, so P is the next seat clockwise from R.
2. R is second to the left of S, so clockwise the order is S, _, R, P, _.
3. T is not between P and S, so Q takes the seat between P and S and T sits between S and R: S, T, R, P, Q.
4. Two seats clockwise from R: P, then Q. So Q is second to the left of R.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 20: A, B, C, D, E and F are sitting around a round table. A is between E and F, E is opposite to D, and C is not in either of the neighbouring seats of E. Who is opposite to B?
(a) C
(b) D
(c) F
(d) A
Show Answer & Explanation

Answer: (c) F

Explanation:
1. E has A on one side; C cannot be the other neighbour, and D is opposite E, so B must sit next to E.
2. Order around the table: F, A, E, B, then C and D fill the remaining seats with D opposite E.
3. In every possible arrangement, B is directly opposite F.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 21: Six persons A, B, C, D, E and F are standing in a circle facing the centre. B is between D and C. A is between E and C. F is to the immediate right of D. Who is between A and F?
(a) B
(b) C
(c) D
(d) E
Show Answer & Explanation

Answer: (d) E

Explanation:
1. B between D and C and A between E and C give the chain D, B, C, A, E.
2. F is the sixth person and sits next to D, closing the circle: D, B, C, A, E, F.
3. So E stands between A and F.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 22: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

What is T's position with respect to W when T, W, R, J and M are sitting around a circle facing the centre?
I. R is second to the left of M and second to the right of W.
II. J is not an immediate neighbour of M.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (e) Both statements I and II together are necessary

Explanation:
1. Statement I places M, R and W, but J and T can still swap the two remaining seats, so T's position is not fixed.
2. Statement II alone says nothing about T or W.
3. Together: J cannot be next to M, which fixes J and T. T is then second to the left of W.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 23: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

M, D, T and W are sitting around a circle facing the centre. Who is to the immediate left of D?
I. M is between T and W and D is to the immediate left of T.
II. D is second to the left of M.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (a) Statement I alone is sufficient, but statement II alone is not sufficient

Explanation:
1. Statement I: T, M, W are consecutive and D is next to T on its left, so the order is fixed and W is to the immediate left of D.
2. Statement II only says D is opposite M; T and W can swap, so the answer is not fixed.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 24: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

A, B, C, D and E are sitting around a circular table facing the centre. Who is to the immediate left of C?
I. Only A is between E and B.
II. D is to the immediate left of B.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (e) Both statements I and II together are necessary

Explanation:
1. Statement I gives E, A, B together but says nothing about where C and D sit.
2. Statement II gives only B and D; C is not placed.
3. Together: E, A, B, D are fixed in order, C fills the last seat, and E is to the immediate left of C.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 25: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

P, Q, R and S are sitting around a circle facing the centre. Who is to the immediate right of Q?
I. R is between P and S.
II. S is to the immediate right of R.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (e) Both statements I and II together are necessary

Explanation:
1. Statement I: P, R, S are consecutive, but the direction is unknown, so Q's right neighbour could be P or S.
2. Statement II alone does not place P or Q.
3. Together the direction is fixed and P is to the immediate right of Q.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 26: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

P, Q, R, S and T are sitting around a circle facing the centre. Who is second to the right of P?
I. R is to the immediate left of T and second to the right of S.
II. Q is to the immediate right of S and third to the left of P.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (b) Statement II alone is sufficient, but statement I alone is not sufficient

Explanation:
1. Statement I fixes S, R, T but P and Q can swap, so the answer could be Q or T.
2. Statement II: Q is right of S and third to the left of P (i.e. second to the right of P), so the answer is Q directly.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 27: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

Who is sitting to the immediate right of Tanisha among five friends sitting around a circle facing the centre?
I. Ayesha is sitting exactly between Kanak and Sneha and Raj is sitting to the immediate right of Sneha.
II. Tanisha is sitting exactly between Kanak and Raj and Ayesha is sitting to the immediate right of Kanak.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (c) Either statement I alone or statement II alone is sufficient

Explanation:
1. Statement I: Kanak, Ayesha, Sneha are consecutive with Raj on Sneha's right; Tanisha fills the gap between Raj and Kanak, giving Kanak on Tanisha's right.
2. Statement II: Tanisha is between Kanak and Raj with Ayesha on Kanak's right; again Kanak is to the immediate right of Tanisha.
3. Each statement alone gives the answer Kanak.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 28: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

Who among A, B, C and D is sitting next to A if all the four are sitting in a straight line facing North?
I. A does not sit next to D, and D does not sit at the extreme right.
II. No one sits to the left of A or to the right of B, while only one person sits between C and B.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (b) Statement II alone is sufficient, but statement I alone is not sufficient

Explanation:
1. Statement I allows several rows (for example D C B A or D B A C), so A's neighbour is not fixed.
2. Statement II: A is at the left end, B at the right end and C is two places from B, giving A C D B.
3. So C sits next to A; statement II alone is sufficient.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 29: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

Who is to the immediate right of P among five persons P, Q, R, S and T facing North?
I. R is third to the left of Q and P is second to the right of R.
II. Q is to the immediate left of T, who is second to the right of P.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (c) Either statement I alone or statement II alone is sufficient

Explanation:
1. Statement I: R _ P Q (R, then one seat, then P, then Q). So Q is immediately right of P.
2. Statement II: P Q T (T two to the right of P, Q just left of T). Again Q is immediately right of P.
3. Either statement alone answers the question.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 30: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

In a row of five children A, B, C, D and E, who is standing in the middle?
I. D is to the immediate right of E and B is to the immediate left of E.
II. B is at the extreme left of the row.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (e) Both statements I and II together are necessary

Explanation:
1. Statement I gives the block B E D, but it can sit at three different places in the row.
2. Statement II only fixes B at the left end.
3. Together: B E D occupies seats 1 to 3, so D is in the middle (seat 3).

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 31: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

In a row of five buildings P, Q, R, S and T, which building is in the middle?
I. Buildings S and Q are at the two extreme ends of the row.
II. Building T is to the right of building R.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (d) Statements I and II together are not sufficient

Explanation:
1. Statement I leaves P, R, T in the middle three places in any order.
2. Adding statement II only requires T to be right of R; arrangements such as S R T P Q and S P R T Q are both possible.
3. The middle building can be R or T, so even together the data are not sufficient.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 32: Directions: The question below is followed by two statements I and II. Decide whether the data given in the statements are sufficient to answer the question.

Five friends P, Q, R, S and T are standing in a row facing East. Who is standing at the extreme right end?
I. Only P is between S and T. R is to the immediate right of T.
II. R is between T and Q.
(a) Statement I alone is sufficient, but statement II alone is not sufficient
(b) Statement II alone is sufficient, but statement I alone is not sufficient
(c) Either statement I alone or statement II alone is sufficient
(d) Statements I and II together are not sufficient
(e) Both statements I and II together are necessary
Show Answer & Explanation

Answer: (e) Both statements I and II together are necessary

Explanation:
1. Statement I gives S P T R, but Q could be at either end.
2. Statement II alone does not place P or S.
3. Together: Q must be on the far side of R from T, so the row is S P T R Q and Q is at the right end.

Teacher's Note:
1. In data sufficiency, test each statement on its own first, and only combine them if neither works alone.
2. You only need to know whether a unique answer exists; you do not have to state the answer itself.

Question 33: Six students P, Q, R, S, T and U are sitting in a field. P and Q are from Noida while the rest are from Gurgaon. S and U are tall while others are short. P, R and S are girls while others are boys. Which is the tall girl from Gurgaon?
(a) R
(b) S
(c) T
(d) U
Show Answer & Explanation

Answer: (b) S

Explanation:
1. From Gurgaon: R, S, T, U. Tall: S, U. Girls: P, R, S.
2. Only S is in all three groups.

Teacher's Note:
1. Make a small table with one row per person and one column per property, then tick the boxes.
2. Read the question carefully: it often asks for a person who satisfies three conditions at once.

Question 34: In an IPL cricket series, Mumbai Indians defeated Delhi Daredevils twice, Deccan Chargers defeated Mumbai Indians twice, Delhi Daredevils defeated Deccan Chargers twice, Mumbai Indians defeated Kolkata Knight Riders twice, and Deccan Chargers defeated Kolkata Knight Riders twice. Which team has lost most number of times?
(a) Mumbai Indians
(b) Delhi Daredevils
(c) Kolkata Knight Riders
(d) Deccan Chargers
Show Answer & Explanation

Answer: (c) Kolkata Knight Riders

Explanation:
1. Losses: Delhi Daredevils 2 (to Mumbai), Mumbai Indians 2 (to Deccan), Deccan Chargers 2 (to Delhi).
2. Kolkata Knight Riders lost 2 to Mumbai and 2 to Deccan, 4 in all, the most.

Teacher's Note:
1. Count losses for each team separately; do not mix up winners and losers.
2. A quick tally table with one row per team avoids double counting.

Question 35: On a shelf in a public library are placed six volumes side-by-side labelled L, M, N, P, Q and R. M, N, Q, R have red covers while others have blue covers. L, M, P are new volumes while the rest are old volumes. L, M, N are dictionaries while the rest are encyclopaedias. Which two volumes are old encyclopaedias and have red covers?
(a) M, N
(b) N, P
(c) N, Q
(d) Q, R
Show Answer & Explanation

Answer: (d) Q, R

Explanation:
1. Red: M, N, Q, R. Old: N, Q, R. Encyclopaedias: P, Q, R.
2. Common to all three: Q and R.

Teacher's Note:
1. Make a small table with one row per person and one column per property, then tick the boxes.
2. Read the question carefully: it often asks for a person who satisfies three conditions at once.

Question 36: Three persons A, B and C wore shirts of red, yellow and green colours (not necessarily in that order) and pants of black, white and green colours (not necessarily in that order). No person wore pant and shirt of the same colour.
A did not wear shirt of red colour.
B did not wear shirt of yellow colour.
C did not wear shirt of green colour.
A did not wear pant of black colour.
B wore pant of green colour.
What were the colours of pant and shirt worn by C, respectively?
(a) White and red
(b) White and yellow
(c) Black and yellow
(d) Green and red
Show Answer & Explanation

Answer: (c) Black and yellow

Explanation:
1. B has green pants, so A (not black) has white pants and C has black pants.
2. B cannot wear a green shirt (same as pants) or yellow, so B wears red.
3. C cannot wear green, so C wears yellow. C: black pants, yellow shirt.

Teacher's Note:
1. Make a small table with one row per person and one column per property, then tick the boxes.
2. Read the question carefully: it often asks for a person who satisfies three conditions at once.

Question 37: In a bakery shop, the items were arranged in a shelf consisting of six rows. Biscuits are arranged above the tins of chocolates but below the rows of packets of chips, cakes are at the bottom and the bottles of peppermints are below the chocolates. The topmost row had the display of jam bottles. Where exactly are the bottles of peppermints? Mention the place from the top.
(a) 2nd
(b) 3rd
(c) 4th
(d) 5th
Show Answer & Explanation

Answer: (d) 5th

Explanation:
1. Jam is at the top (1st) and cakes at the bottom (6th).
2. The remaining chain from top is chips, biscuits, chocolates, peppermints for rows 2 to 5.
3. Peppermints are in the 5th row from the top.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

Question 38: Six ladies P, Q, R, S, T and U sat around a round table (facing the centre) for a kitty party at a hotel. Q is between S and R. P is between T and R. U is to the immediate right of S. Who is between P and U?
(a) Q
(b) R
(c) S
(d) T
Show Answer & Explanation

Answer: (d) T

Explanation:
1. Q between S and R and P between T and R give the chain S, Q, R, P, T.
2. U fills the sixth seat next to S, closing the circle: S, Q, R, P, T, U.
3. T sits between P and U.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 39: Six executives of a company, P, Q, R, S, T and U, sat around a round table in the conference room for a meeting. P is between T and U, T is opposite to S, and R is not in either of the neighbouring seats of T. Who is opposite to Q?
(a) R
(b) S
(c) U
(d) None of these
Show Answer & Explanation

Answer: (c) U

Explanation:
1. T has P on one side; the other neighbour cannot be R or S (S is opposite), so it must be Q.
2. So the order is Q, T, P, U around the table, with S opposite T.
3. In both possible arrangements Q is directly opposite U.

Teacher's Note:
1. For people facing the centre, their left is the clockwise direction and their right is anticlockwise.
2. Place the person with the most fixed information first, then fill the seats around them.

Question 40: In a pile of 10 books, there are 3 of science, 3 of English, 2 of economics and 2 of history. Taking from above, there is a history book between a science and an economics book, a science book between an economics and a history book, an English book between a history and an economics book, an economics book between two English books, and two English books between an economics and a science book. Book of which subject is at the sixth position from the top?
(a) History
(b) English
(c) Economics
(d) Science
Show Answer & Explanation

Answer: (b) English

Explanation:
1. Taking the clues in order from the top, each new clue continues from the last book placed: S, H, Eco, then S, H, then E, Eco, then E.
2. Two English books between economics and a science book completes the pile: S, H, Eco, S, H, E, Eco, E, E, S.
3. Counts check (3 S, 3 E, 2 Eco, 2 H) and the 6th book from the top is English.

Teacher's Note:
1. When clues are given 'taking from above', build the pile step by step, letting each clue overlap the previous one.
2. Always check the final count of each type against the totals given.

Question 41: Five children were administered psychological tests to know their intellectual levels. In the report, the psychologists pointed out that the child A is less intelligent than the child B, the child C is less intelligent than the child D, the child B is less intelligent than the child C and the child A is more intelligent than the child E. Which child is the most intelligent?
(a) A
(b) B
(c) D
(d) E
Show Answer & Explanation

Answer: (c) D

Explanation:
1. B > A, D > C, C > B and A > E.
2. Chaining them: D > C > B > A > E, so D is the most intelligent.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

Question 42: P, Q, R, S and T are five typists in an office. Q types faster than R but not as fast as P. T types faster than R. S types faster than P. Who amongst the five types the fastest?
(a) S
(b) T
(c) P
(d) Insufficient information
Show Answer & Explanation

Answer: (d) Insufficient information

Explanation:
1. P > Q > R and S > P give S > P > Q > R.
2. T is only known to be faster than R; T may be faster or slower than S.
3. So the fastest could be S or T: the information is insufficient.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

Question 43: Five girls took part in a race. Reena finished before Mohini but behind Gauri. Ananya finished before Sanchi but behind Mohini. Who won the race?
(a) Reena
(b) Gauri
(c) Mohini
(d) Ananya
Show Answer & Explanation

Answer: (b) Gauri

Explanation:
1. Gauri, Reena, Mohini in that order.
2. Mohini, Ananya, Sanchi in that order.
3. Combined: Gauri, Reena, Mohini, Ananya, Sanchi. Gauri won.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

Question 44: Six students participated in a 400-metre race.
Ram finished after Amar and 2 other students.
Amar finished after Sameer.
Firoz finished before Sameer.
Vinod finished before Hari.
Who came fifth?
(a) Ram
(b) Amar
(c) Firoz
(d) Vinod
Show Answer & Explanation

Answer: (d) Vinod

Explanation:
1. Three students finished before Ram, so Ram is 4th, and Amar is one of the first three.
2. Firoz before Sameer before Amar fills places 1, 2, 3.
3. Vinod and Hari take places 5 and 6 with Vinod first, so Vinod is 5th.

Teacher's Note:
1. Write each comparison with a > sign and chain the statements that share a common person.
2. Check whether any person is left unconnected; if so, the order may not be fully determined.

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