find both direction & distance Practice Questions Answers Test with Solutions & More Shortcuts

DIRECTIONS:

Read the following information for answering the questions that follows :

In a playground, A, B, C, D, & E are standing as described below facing the North.

  1. B is 50m to the right of D.
  2. A is 60m to the South of B.
  3. C is 40m to the west of D.
  4. E is 80m to the north of A.

Question : 51

What is the minimum distance (in metre approximately) between C and E?

a) 92

b) 53

c) 120

d) 78

Answer: (a)

CE = $√{BC^2 + BE^2}$ = $√{90^2 + 20^2}$

= $√{8100 + 400}$ = $√{8500}$ = 92.19m

Question : 52

Who is to the South-East of the person who is to the left of D?

a) C

b) A

c) E

d) B

Answer: (b)

Question : 53

If a boy walks from C, meet D followed by B, A and then E, how many meters has he walked if he has travelled the straight distance all through?

a) 170

b) 120

c) 230

d) 150

Answer: (c)

Total distance walked by the boy.

= 40 + 50 + 60 + 80 = 230 m

direction-and-distance

Question : 54

Kunal walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?

a) 7 kilometres West

b) 5 kilometres West

c) 7 kilometres East

d) 5 kilometres North-east

e) None of these

Answer: (e)

Using of Pythagoras,

H2 = P2 + B2

H2 = (4)2 + (3)2 = 16 + 9 = 25

H2 = 25, H = 5 km (– 5 km can not possible)

direction-and-distance

Question : 55

Maya starts at point T, Walks straight to point U which is 4 ft away. She turns left at 90° and walks to W which is 4 ft away, turns 90° right and goes 3 ft to P, turns 90° right and walks 1 ft to Q, turns left at 90° and goes to V, which is 1 ft away and once again turns 90° right and goes to R, 3 ft away. What is the distance between T and R ?

a) 8 ft

b) 4 ft

c) 7 ft

d) 5 ft

e) None of these

Answer: (a)

The movements of Maya from T to R are as shown in Figure.

Distance between T and R

= TR = TU + UR

= TU + PW + QV

= (4 + 3 + 1)ft = 8 ft.

direction-and-distance

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