find both direction & distance section 2 Detailed Explanation And More Example

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The following question based on direction & distance sense test topic of verbal reasoning

Questions : B is 15 km east of point A. Point C is 15 km south of B and 7 km east of D is point C. 20 km north of point D is point E, and 13 Km east of point G is point E. What is shortest distance between A and G, and also point G is which direction respect of point A?

(a) $5√5 km,$ south-east

(b) $4√2 km,$ south-west

(c) $2√5 km,$ north-east

(d) $5√2 km,$ north-west

e) None of these

The correct answers to the above question in:

Answer: (d)

AG = $√ (5^2 + 5^2 ) =√50 = 5√2 km$

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Read more type 3 section 2 mcqs Based Verbal Reasoning Questions and Answers

DIRECTIONS:

A country has the following types of traffic signals.

  1. 3 red lights = stop;
  2. 2 red lights = turn left;
  3. 3 green lights = go at 100 kmph speed;
  4. 1 red light = turn right;
  5. 1 green light = go at 20 kmph speed
  6. 2 green lights = go at 40 kmph speed

A motorist starts at a point on a road and follows all traffic signals literally. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal).

  1. Starting Point – 1 green light;
  2. After half an hour, 1st signal – 2 red & 2 green lights;
  3. After 15 minutes, 2nd signal – 1 red light;
  4. After half an hour, 3rd signal – 1 red & 3 green lights;
  5. After 24 minutes, 4th signal – 2 red & 2 green lights;
  6. After 15 minutes, 5th signal – 3 red lights

Question : 1

After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist

a) Directly 30 km. to the east.

b) 30 km. to the west and 20 km. to the south.

c) 50 km. to the east and 40 km. to the north.

d) 30 km. to the west and 40 km. to the north.

Answer: (c)

For the case when 1st signal were 1 red and 2 green light, the surface diagram will be as given below.

direction-and-distance

TF = 50 km;

ST = 40 km

Considering the above figure, option c is correct, 50 km to the east and 40 km to the north.

Question : 2

What is the position radial distance of the motorist when he reaches the last signal:

a) 45 km. away to the northwest of the Starting Point.

b) 45 km. directly north of Starting Point.

c) 50 km. away to the northeast of the Starting Point.

d) 30 km. directly to the east of the Starting Point.

Answer: (c)

direction-and-distance

Note: According to Pythagoras’ theorem, for a rightangled triangle.

direction-and-distance

BC2 = AB2 + AC2

BC = $√{AB^2 = AC^2}$

$√{ST^2 = TF^2}$

=$√{40^2 + 30^2}$ = $√{2500}$

= 50km

Question : 3

If at the starting point, the car was heading towards south, what would be the final position motorist:

a) 50 km. to the west and 20 km. to the north.

b) 30 km. to the east and 40 km. to the south.

c) 30 km. to the west and 40 km. to the south.

d) 50 km. to the east and 40 km. to the south.

Answer: (c)

direction-and-distance

Question : 4

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. Kakran is east of Bopri but west of Tokhada and Akram. If they are all in the same district, which town is the farthest west ?

a) Kakran

b) Paranda

c) Bopri

d) Akram

Answer: (c)

The town of Akram (A) is west of Paranda (P) means A, P. Tokhada (T) is east of Akram but west of Paranda means A, T, P.

Kakran (K) is east of Bopri (B) but west of Tokhada and Akram means B, K, A, T.

Combining all the arrangements, we get the sequence as B, K, A, T, P.

So, farthest west is Bopri

Question : 5

Five boys are standing in a row facing East. Deepak is to the left of Sameer, Tushar and Shailendra. Sameer, Tushar and Shailendra are to the left of Sushil. Shailendra is between Sameer and Tushar. If Tushar is fourth from the left, how far is Sameer from the right ?

a) Second

b) First

c) Fourth

d) Third

e) Fifth

Answer: (c)

Deepak (D) is to the left of Sameer (S), Tushar (T) and Shailendra (Sh) means D, S, T, Sh. Sameer, Tushar and Shailendra are to the left of Sushil (Su) means S, T, Sh, Su. Shailendra is between Sameer and Tushar means S, Sh, T.

Tushar is fourth from the left means • • • T. Combining all the arrangements, we have D. S, Sh, T, Su. So, Sameer is fourth from the right.

Question : 6

Riya goes 30 km towards North from a fixed point, then after turning to her right she goes 15 km. After this she goes 30 km after turning to her right. How far and in what direction is she from her starting point?

a) 25m east

b) 20m east

c) 10m east

d) 15m east

e) None of these

Answer: (d)

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