Q1. One day, Hemant left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. He is in which direction from the starting point?
Q2. Rizwan faces towards north. Turning to his right, he walks 25 metres. He then turns to his left and walks 30 metres. Next he moves 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he how from his starting point?
F is to the South-east of A. So, he is to the south-east from his starting point.
Q3. Avika walks 10 km towards North. From there she walks 6 km towards South. Then, she walks 3 km towards East. How far is she from her starting point?
(a) 5 km
(b) 6 km
(c) 5.5 km
(d) 6.5 km
AC = (AB – BC) = (10 – 6) = 4 km;
CD = 3 km
So, Avika’s distance from starting point A
=AD=√(AC^2+CD^2 )=√(4^2+3^2 )=5 km
Q4. I am standing at the centre of a circular field. I go down south to the edge of the field and then turning left I walk along the boundary of the field equal to three-eighths of its length. Then I turn west and go right across to the opposite point on the boundary. In which direction am I from the starting point?
The movements are as indicated in figure. (O to A, A to B and B to C). Clearly, C lies to the South-west of O.
Q5. Kartik walked 40 metres towards North, took a left turn and walked 20 metres. He again took a left turn and walked 40 metres. How far and in which direction is he from the starting point?
(a) 20 metres West
(b) 20 metres North
(c) 20 metres South
(d) 20 metres East
ABCD is a rectangle and so AD = BC = 20 m
Thus, D is 20 m to the west of A.
Q6. Akshat walked 30 metres towards East, took a right turn and walked 40 metres. Then he took a left turn and walked 30 metres. In which direction is he now from the starting point?
Akshat final position is S which is to the South-east of the starting point P.
Q7. A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D. The shortest distance between the starting point and the destination is
(a) 12 km
(b) 15 km
(c) 16 km
(d) 18 km
Draw AE ⊥ CD
Then, CE = AB = 3 km and
AE = BC = 9 km
DE = (CD – CE) = (15 – 3) km = 12 km
In ∆AED, AD^2=AE^2+DE^2
⇒ AD=(√(9^2+(12)^2 )) km = √225 km = 15 km
Q8. Niraj goes 30 metres North, then turns right and walks 40 metres, then again turns right and walks 20 metres, then again turns right and walks 40 metres. Now he is in which direction from the starting point?
The movements of Niraj are as shown in figure (A to B, B to C, C to D, D to E).
E is in north direction with respect to A(starting point).
Q9. Mayank walked 25 metres towards South. Then he turned to his left and walked 20 metres. He then turned to his left and walked 25 metres. He again turned to his right and walked 15 metres. At what distance is he from the starting point in which direction?
(a) 32 metres East
(b) 34 metres East
(c) 31 metres East
(d) 35 metres East
Mayank ‘s distance from starting point A
= AE = (AD + DE) = (BC + DE)
= (20 + 15) m = 35 m
Also, E is to the East of A.
Q10. Starting from a point P, Sonal walked 20 m towards South. She turned left and waked 30 m. She then turned left and walked 20 m. She again turned left and walked 40 m and reached a point Q. How far and in which direction is the point Q from the point P?
(a) 20 m West
(b) 10 m South
(c) 10 m West
(d) 10 m North
Distance of Q from P
= PQ = (DQ – PD) = (DQ – BC)
= (40 – 30) m = 10 m
Also Q is the West of P.
Q11. Arijit travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right, and walked 50 metres. How far is he from the starting point?
(a) 40 metres
(b) 20 metres
(c) 30 metres
(d) 10 metres
Arijit’s distance from the starting point
= XC = (XY – YC) = (XY – BA)
= (80 – 70) m = 10 m
Q12. A walks 10 metres towards east and then 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point?
(a) 5 metres
(b) 10 metres
(c) 15 metres
(d) 20 metres
A’s distance from the starting point O
= OT = (RS – PQ)
= (15 – 10) m
= 5 m
Q13. The door of Priya’s house faces the East. From the back side of her house, she walks straight 50 metres, then turns to the right and walks 50 metres again. Finally, she turns towards left and stops after walking 25 metres. Now Priya is in which direction from the starting point?
Clearly, Priya’s final position is D which is to the North-west of the starting point A.
Q14. The town of Paranda is located on Green Lake. The town of Akram is west of Paranda. Tokhada is east of Akram but west of Paranda. Kakram is east of Bopri but west of Tokhada and Akram. If they are all in the same district, which town is the farthest east?
Sol. The sequence as B, K, A, T, P. So, farthest east is Paranda.
Q15. Two ladies and two men are playing cards and are seated at North, East, South and West of a table. No lady is facing East. Persons sitting opposite to each other are not of the same sex. One man is facing South. Which directions are the ladies facing?
(a) East and West
(b) South and East
(c) North and East
(d) North and West
No lady is facing east means a man faces east. Persons opposite are not of same sex. So, a woman will be facing west. Again, a man faces south. So, opposite to him will be a woman facing north.