Let us check out some rules to solve these questions:

Q1: Directions (1-3): Study the information carefully and answer the questions given below.
Neeraj starts walking from point M towards east direction to reach N, which is 25m east to M. He then takes a right turn and walks 30 m to reach point O. From O, he takes left turn and walks25m to point P, then again, he takes a left turn and walks 20m to point Q. From Q, he takes a left turn and walks 30m to reach point R. He then takes a right turn and walks 15m to reach S and finally takes a left turn to reach point T, which is 20 m away from S.
Q: In which direction is point N with respect to point R?
(a) North-west
(b) South-east
(c) North
(d) North-east
Ans: (d)
Sol.
Place M at the origin. M → N: 25 m east. N is at (25, 0).
N → O: right turn from east means facing south; O is at (25, -30).
O → P: left turn from south means facing east; P is at (50, -30).
P → Q: left turn from east means facing north; Q is at (50, -10).
Q → R: left turn from north means facing west; R is at (20, -10).
Vector from R to N = (25 - 20, 0 - (-10)) = (5, 10) which points to the north-east direction.
Hence N is to the north-east of R. The correct option is (d).
Q2: Study the information carefully and answer the questions given below.
Neeraj starts walking from point M towards east direction to reach N, which is 25m east to M. He then takes a right turn and walks 30 m to reach point O. From O, he takes left turn and walks25m to point P, then again, he takes a left turn and walks 20m to point Q. From Q, he takes a left turn and walks 30m to reach point R. He then takes a right turn and walks 15m to reach S and finally takes a left turn to reach point T, which is 20 m away from S.
Q: Four of the following five belongs to a group based on their directions find the one that does not belong to that group?
(a) M, S
(b) R, O
(c) N, P
(d) P, Q
Ans: (d)
Sol.
- From the coordinates derived earlier: M at (0,0), N at (25,0), O at (25,-30), P at (50,-30), Q at (50,-10), R at (20,-10), S at (20,5), T at (0,5).
- Check the direction relation for each pair:
- M and S: M (0,0) and S (20,5) are not on the same line and lie in different directions relative to each other.
- R and O: R (20,-10) and O (25,-30) lie in different directions relative to one another.
- N and P: N (25,0) and P (50,-30) lie in different directions relative to each other.
- P and Q: P (50,-30) and Q (50,-10) lie on the same vertical line (same x-coordinate); Q is directly north of P, so they are along the same direction (north-south relation).
- Thus the odd pair which does not fit with the "different directions" pattern is P, Q - option (d).
Q3: Study the information carefully and answer the questions given below.
Neeraj starts walking from point M towards east direction to reach N, which is 25m east to M. He then takes a right turn and walks 30 m to reach point O. From O, he takes left turn and walks25m to point P, then again, he takes a left turn and walks 20m to point Q. From Q, he takes a left turn and walks 30m to reach point R. He then takes a right turn and walks 15m to reach S and finally takes a left turn to reach point T, which is 20 m away from S.
Q: How far is point M from point T?
(a) 15m
(b) 20m
(c) 25m
(d) None of these
Ans: (d)
Sol.
- Using the coordinates already found: M at (0,0) and T at (0,5).
- Distance between M and T = |5 - 0| = 5 m (they lie on the same vertical line and are 5 m apart).
- Since 5 m is not among the given options, the correct choice is (d) None of these.
Q4: Fathers and mothers are made to sit in 5 rows and 5 columns all of them facing North.
P is at the center of the arrangement, L is to the immediate right of P, S is just behind L and W is to the North of P. S is in which direction with respect to W?
(a) South
(b) South-West
(c) North-East
(d) None of these
Ans: (d)
Sol.
- Visualise a 5 × 5 grid with all persons facing north. Place P at the centre cell (row 3, column 3).
- L is immediate right of P → L is at (row 3, column 4).
- S is just behind L. Since everyone faces north, behind means south. So S is at (row 4, column 4).
- W is to the north of P → W is at (row 2, column 3).
From W (row 2, col 3) to S (row 4, col 4) the movement is two rows down (south) and one column right (east) → this is the south-east direction.No option lists south-east, so the correct answer is (d) None of these.
Q5: Ajay started walking straight towards South direction. He walked a distance of 15 m and then took a left turn and walked a distance of 13 m. Then he took a right turn and walked a distance of 15 m again. 'Ajay' is facing which direction now?
(a) North-East
(b) South
(c) North
(d) South-West
Ans: (b)
Sol.
- Ajay starts facing south and walks 15 m (orientation: south).
- Then he takes a left turn. From south, left is east; he walks 13 m (orientation: east).
- Then he takes a right turn. From east, right is south; he walks 15 m (orientation: south).
- Therefore Ajay is facing south after the final move. Correct option: (b).
Draw compact diagrams, use coordinates for accuracy, follow turn rules carefully and always check whether the final relation is along the same axis (vertical/horizontal) or diagonal (NE, NW, SE, SW).
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