This document discusses direction and distance problems that test the ability to follow directions and determine final directions or distances. It provides guidance on: - Common direction changes are 90° or 45° - Distances can include straight lines, as the crow flies, or minimum distances - Using Pythagorean triples to calculate distances more efficiently - How turning left or right affects direction - The concept of shadows pointing opposite the sun's position

1. VERBAL REASONING
DIRECTION AND DISTANCE
TEST

2. Direction and distance
• In this chapter, the questions consist
of a sort of direction puzzle.
• A successive follow-up of directions is
formulatedformulated
• and we are required to ascertain the final
direction on the distance between two
points.

3. This test is meant to judge
the
our ability to trace and
followfollow
correctly and sense the
direction correctly

5. • each main direction change
undergoes a 90° change in
direction e.g. from North to
West/East it will be 90° change
• But the change between North
and North-east is only 45°.

7. • directions problems generally quiz
you about the minimum distance,
distance by air, crow fly distance etc.
• we assume all these distances to be
along straight lines and betweenalong straight lines and between
specified points.
• We use the concept of Pythagoras
theorem to solve the questions

8. Left Right Movement
• A person facing north, on
taking left will face towards
west and on taking the rightwest and on taking the right
turn towards east.

10. • Whenever a person moves to
his left side, he will move
towards anti- clockwise
direction.
• Whenever a person moves to• Whenever a person moves to
his right side, he will move
towards clockwise direction.

11. •Note: When a question
says moved towards left
or right side, we assume
that the movement is atthat the movement is at
an angle of 90 degrees.

12. • Concept of Pythagoras Theorem
• We'll use the concept of
Pythagoras theorem to solve the
questions on directions.
• In a right-angled triangle, the• In a right-angled triangle, the
square of the hypotenuse is
equal to the sum of the squares
of the other two sides.

13. c2=a2 + b2

14. EXAMPLES
Type -1

15. MINIMUM DISTANCE
minimum distance between
2 points will lie along the
hypotenuse of the right-hypotenuse of the right-
angled triangle formed by 2
points.

16. Q.1.Shyam travels 7 km. toward
North, then he turn to his right
and walks 3 km. He again turns to
his right and moves 7 km
forward. Now in which direction
is he from hisis he from his
starting point?
(1) North (2) South (3) East
(4)West (5) Can’t be determined

18. PYTHAGOREAN TRIPLETS
• PAIRS WHICH SATISFY THE
PYTHAGORES THEOREM
• EG ( 3,4,5 )---------(6,8,10)

19. IMP PYTHAGOREAN TRIPLETS
•(3, 4, 5), (6, 8,10), (5, 12,
13), (9, 12, 15),13), (9, 12, 15),
•(8, 15, 17), (12, 16, 20),
(15, 20, 25), (7, 24, 25),
(10, 24, 26),

20. USE OF PYTHA --TRIPLETS
• generally very helpful in
calculating the distances
involved as it saves time spentinvolved as it saves time spent
on calculations.

21. Q] A person moves North, then turns
to his right and then again right and
then finally go to left. In which
direction is he moving now?
1-East1-East
2-South-East
3-West
4-North
• ANS =====EAST

22. CONCEPT OF SHADOW
• SUNRISE -----------SUN IS IN
EAST SO SHADOW --------ON
WESTWEST
• SUNSET ------------SUN IS IN
WEST SO SHADOW ---ON EAST

23. •Direction of shadow is
opposite to the
direction of position
of sunof sun