2. How many directions are there?
Prime Directions: -
Sub-Prime Directions:-
Pythagoras theorem:
Pythagorean triples:
BASIC CONCEPT & LOGIC
3. Q.1. Mr. Mayank travels 40m in north direction, turns right & travels another
40m & finally turns to his south & travels 10m.
Q. How far & in which direction is he from the starting point?
(A) 40m, North-East (B) 40m, South
(C) 50m, North-East (D) 40m, South-East
4. Q.2. A man travels 3m in east directions turns right and travels 5m and finally
turns to his left and travels 9m.
Q. How far & in which direction is he from the starting point?
(A) 5m, North-East (B) 9m, South
(C) 14m, North-East (D) 13m, South-East
5. Q.3. Ajay walks 2km southward, takes a right turn and walks 5km. Then turns
left and walk 3km and again turning left, walks 5km.
Q. In which direction is he from the starting point?
(A) South-East (B) South (C) East (D) West
6. Q.4. Varun drives 10km straight ahead towards east and 10km to his right,
then every time turning to his left, he drives 5km, 15km and 15km
respectively.
Q. How far is he from the starting point?
(A) 10km (B) 5km (C) 25km (D) 30km
7. Q.5. Meena is facing south-west, she turns 135° in clockwise direction and
then 90° in anticlockwise direction.
Q. In which direction is she facing now?
(A) East (B) West (C) North (D) South
8. Q.6. Pinu walks 6m towards south. Then he turns to his left and walks 5m.
Then he turns to his right and walks 3m. Then he turns to his right and walks
5m. Finally he turns to his left and walks 3m.
Q. How far is he from the starting point?
(A) 6m (B) 9m (C) 12m (D) 15m
9. Q.7. Anju and Karan are two friends studying
in the ABC Science college. Anju starts
walking from her house in north direction.
After walking 120m, she reached the SBI
bank. Then she turns and walk 40m in North-
East direction. Then she turns 90° clockwise
direction. And walk 30m to reach karan’s
house which is in the east of the SBI bank.
Then from Karan’s house both of them walk
130m in South-East direction to reach their
college which is East of Anju’s house.
Q. What is the shortest distance between
Anju’s House and ABC Science College ?
(A) 100m (B) 110m (C) 120m
(D) 130m (E) CND
10. Q.8. Rajesh and Mayank are standing on point x
and facing north direction. Mayank started moving
in east direction and stopped at point M which is
7m far from point X. After reaching on point M he
turned towards his left and moved 5m to reach on
point N. From point N Mayank turned 225°
anticlockwise and moved 17m to reach on his last
point P which is in line with point A. Rajesh turned
180° from X and moved 3m to reach on point A.
From point A he turned to his right and moved 4m
and reached point D. He then took 135° turned
anticlockwise and moved 5m and reached on his
last point E which is in line with point X.
Q. What is the shortest distance between point A
and P ?
(A) 15m (B) 20m (C) 22m
(D) 21m (E) None of these