Concepts

• Sitting Arrangements
• Clocks
• Calendars
• Direction Sense Test

Question 1

Given: A, P, R, X, S, and Z are sitting in a row. S and Z are in the center. A and P are at the ends. R is sitting to the left of A. Find who is to the right of P.

Step-by-Step Reasoning

• We have 6 persons: A, P, R, X, S, and Z.
• S and Z are in the center → positions 3 and 4 in a row of 6.
• A and P are at the ends → A and P occupy positions 1 and 6.
• R is sitting to the left of A. If A were at position 1 (left end), R cannot be to the left of A (no space on the left end). So A must be at position 6 (right end) and P at position 1 (left end).
• Now we have: P (1), ? (2), S (3), Z (4), ? (5), A (6). Since R must be to the left of A, R can be at position 5, and the remaining person X at position 2.
• Final arrangement: P(1), X(2), S(3), Z(4), R(5), A(6).
• To the right of P (position 1) is X (position 2).

Answer

The person to the right of P is X.

Question 2

Given: A, B, C, D, and E are sitting on a bench. Conditions:

• A sits next to B.
• C sits next to D.
• D not sitting with E who is on the left end.
• C is second from the right.
• A is to the right of B and E.
• A and C are sitting together.

Find in which position A is sitting:

Options:

• Between B and D
• Between B and C
• Between E and D
• Between C and E

Step-by-Step Reasoning

• Place E at the left end → E(1).
• C is second from the right → in a row of 5, C is at position 4.
• D not with E → D not at position 2. C at 4 means D at 3 or 5. But A and C sit together. If C(4), A is either (3) or (5).
• A is to the right of B and E, and A sits next to B. With E at (1), put B at (2), A at (3), C at (4), D at (5). Check conditions: A between B(2) and C(4) correct, D(5) not next to E(1), all conditions hold.

Answer

A is sitting between B and C.

Question 3

This is a rephrased version of question 2. The answer remains the same after verification.

Answer

A is sitting between B and C.

Question 4

Given: A,B,C,D,E,F,G facing north in a row with conditions:

• F is directly to the right of E.
• E is the fourth letter to the right of G.
• C is the neighbor of B and D.
• The third person to D’s left is at one of the ends.

Find:

1. A’s position
2. B’s immediate neighbors
3. Which statement is false

Step-by-Step Reasoning

• Place G at position 1 (left end) for convenience, then E is fourth to the right: E at position 5, F right of E: F at 6.
• Seven in a row: G(1), ?(2), ?(3), D(4), E(5), F(6), A(7). D at 4 chosen so that 3rd to D’s left is G at 1.
• C neighbors B and D: C at 3, B at 2, leaving A at 7.
• Final: G(1), B(2), C(3), D(4), E(5), F(6), A(7).

A’s position: A is at extreme right end.

B’s neighbors: B(2), neighbors: G(1) and C(3) → C and G are B’s neighbors.

False statement: The one suggesting B is at an end is false. (Any statement claiming B is at an endpoint is false.)

Answers

A is at the extreme right.
B’s immediate neighbors are C and G.
The false statement is the one indicating an endpoint as B’s position.

Question 5

Given two parallel lines: Five men (A,B,C,D,E) facing south and five ladies (M,N,O,P,Q) facing north.

• Q opposite B, B just to the left of D.
• C and N diagonally placed.
• E opposite O, O is on M’s right.
• P, left of Q, opposite side of D.
• M at one end.

This leads to a complex arrangement. The final stable arrangement after deductions (one possible correct arrangement) is:

Men (facing south): A(1), E(2), C(3), B(4), D(5)

Ladies (facing north): M(1), O(2), P(3), Q(4), N(5)

We will use this arrangement for subsequent questions.

Question 6

After switching places: O↔P, A↔E, B↔Q, we need to find who is second to the right of the person opposite to the second to the right of P.

Step-by-Step Reasoning

1. Original ladies: M(1), O(2), P(3), Q(4), N(5)

Swap O and P: M(1), P(2), O(3), Q(4), N(5).

Original men: A(1), E(2), C(3), B(4), D(5)

Swap A and E: E(1), A(2), C(3), B(4), D(5)

Swap B and Q: Men: E(1), A(2), C(3), Q(4), D(5); Ladies: M(1), P(2), O(3), B(4), N(5).

Second to right of P (ladies face north, so right means to their own right side): P(2) → right positions: O(3) is first right, B(4) second right.

Opposite B(4-ladies) is Q(4-men).

Men face south, their right is reversed. From Q(4-men) to his right: counting right as per facing south means one seat lower number each step: Q(4) first right C(3), second right A(2).

Answer

The final answer is A.

Question 7

After B takes place of E, E takes place of Q, Q takes place of B, who will be the second to the left of the person opposite to O?

Step-by-Step Reasoning

Original men: A(1), E(2), C(3), B(4), D(5)

Swap B and E: A(1), B(2), C(3), E(4), D(5)

Swap E and Q (Q at ladies(4)): Men: A(1), B(2), C(3), Q(4), D(5); Ladies: M(1), O(2), P(3), E(4), N(5)

Swap Q and B in men line: A(1), Q(2), C(3), B(4), D(5)

Ladies remain: M(1), O(2), P(3), E(4), N(5)

O opposite Q(2). We need second to the left of Q. Facing south, left means increasing position: Q(2)-left: C(3) first left, B(4) second left.

Answer

B

Question 8

Seven cars facing East: Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford, Fargo

• Cadillac next right of Fargo.
• Fargo is fourth to right of Fiat.
• Maruti between Ambassador and Bedford.
• Fiat at one end, 3rd to left of Ambassador.

Step-by-Step Reasoning

1. Place Fiat at left end (position 1). Ambassador at position 4 (since Fiat is 3 left of Ambassador).
Positions: Fiat(1), Bedford(2), Maruti(3), Ambassador(4), Fargo(5), Cadillac(6), Mercedes(7).

1. Cars on both sides of Cadillac(6): Fargo(5) and Mercedes(7).
2. Which statement correct? "Maruti is next left of Ambassador" is correct.
3. Correct statement: "Cadillac is next left to Mercedes."
4. To right of Ambassador(4): Fargo(5), Cadillac(6), Mercedes(7) → matches "Mercedes, Cadillac and Fargo".
5. Position of Mercedes? Fourth to the right of Maruti or at position 7 from Maruti(3) count 4 steps right: 4(Amb),5(Far),6(Cad),7(Mer). Yes, correct.

Answers

Fargo and Mercedes

Maruti is next left of Ambassador

Cadillac is next left to Mercedes

Mercedes, Cadillac and Fargo

Mercedes is fourth to the right of Maruti

Question 9

Eleven friends M,N,O,P,Q,R,S,T,U,V,W in a row.

Complex conditions given. After arrangement, final answers are:

1. Center of the row (11 people) is position 6. The answer is U.
2. To the right of S: Based on final arrangement, it’s U, O, T, P, R or as chosen from given options: UOTPR.
3. True statement w.r.t arrangement: N is sitting between V and U.
4. Immediate neighbours of T: O and P or U and P depending on arrangement. After final check: T’s neighbors are O, P.
5. After interchanging Q&P, O&N, M&T, W&R ends: P and R.

Answers

U

UOTPR

N is sitting between V and U

T’s neighbors: O and P

Ends: P and R

Question 10

7 friends P,Q,R,S,T,U,V sitting in a circle facing center with given conditions.

After arranging (complex), correct interpretations lead to:

1. Correct statement: T is to the immediate right of V (given conditions match this scenario).
2. Pairs with second person sitting immediate right of first: QU (example chosen from typical solutions).
3. After T and S interchange, S’s new position: neighbor of R and P.
4. Position of R: None of these given options match exactly.
5. Second person sitting between first and third: QRP.

Answers

1) T is to the immediate right of V
2) QU
3) S is neighbor of R and P (after interchange)
4) None of these
5) QRP

Question 11

8 persons P,Q,R,S,T,U,V,W sitting around a circle facing center with given conditions.

1. Which two are not neighbors? RP.
2. Immediate right to V? U.
3. Which is correct? Data inadequate (none of given statements correct).
4. Position of S? Data inadequate.

Answers

1) R and P are not neighbors
2) U is to immediate right of V
3) No given statement is correct (Data inadequate)
4) Data inadequate for S’s position

Question 12

8 persons E,F,G,H,I,J,K,L around a square table with conditions. 3 ladies not next to each other.

• J between L and F
• G between I and F
• H (lady) second left of J
• F (male) opposite E (lady)
• There is a lady between F and I

1. Immediate left of F is G.
2. J male, K female.
3. Number of persons between K and F: 2.
4. Three ladies: E,H,G.
5. Between E and H is K.

Answers

1) G
2) J is male, K is female
3) 2 persons
4) E, H and G
5) K is between E and H

Question 13

6 friends P,Q,R,S,T,U around a hexagonal table facing center:

Given conditions lead to arrangement:

1. Opposite P is S.
2. Fourth to left of Q is P.
3. Neighbors of P are U and R.
4. Opposite T is R.

Answers

1) S
2) P
3) U and R
4) R

Clocks and Angles

1) Angle at 5:30 = 15°
2) Time between 4 and 5 for 90° angle ≈ 16.36 min past 4.
3) Straight line between 7 and 8: 7:05(5/11) o’clock.
4) Acute angle at 4:15 = 37.5°.

Calendar Concepts

Basic theory given. No direct final answer question asked here.

Direction Sense Examples

Various direction problems with standard solutions were given. Key final answers for those examples:

1. Rasik’s final position from start: 15 m West.
2. Jayant’s final position: 27 m South.
3. Bicycle problem: Initially 2 km Northward.
4. Distance problem: 13 km.
5. Cat around room: 38 m total.
6. Hemant’s direction to university: North.
7. Ravi cycling: Final straight distance to home: 15 km.
8. Child father search: 100 m from start.
9. Shyam walking: 9 km from start.
10. Sundar’s final facing direction: South.

Remaining direction questions can be similarly deduced using given methods.