Quiz 5

Question 1

Time: 00:00:00

Direction (1-2) Alok starts walking from his school toward his house as shown in the figure here. He starts from the front gate of his school, walks 5 km, turns left, walks 2 km, then turns left again and walks 4 kms, then he turns to his right and walks 3 km and then turns left, walks 1 km and then turns to his left again to walk 4 km and then to his right and walks 10 km and finally turns right, walks 3 km and thus reaches the front gate of his house.

If Alok house is south facing, in which direction did he start walking?

West

North

South

East

None of these

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Option (D) Explanation We need to just work out the direction for this question. Since Alok house is south facing, the above figure will describe his journey correctly. Hence, the school faces east.

Question 2

Time: 00:00:00

Alok house is in what direction with respect to his school?

Northwest

Southwest

Southeast

East

Cant be determine

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Option(E) Explanation According to this figure the house is northwest According to this figure the house is southwest. Since we do not know the starting direction, we cannot determine the answer.

Question 3

Time: 00:00:00

Airplanes A, B, C and D started flight towards east. After flying 125 kms planes A and D flew towards right while planes B and C flew towards left. After 115 km, planes B and C flew towards their left while planes A and D also turned towards their left. In which directions are the airplanes A, B, D, C respectively flying now?

North, South, East, West

East, West, West, East

East, West, East, West

South, North, North, South

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Option(C) Explanation Let us look at A and D first. After flying for 125 kms, A and D would still be in east direction. Now , they take a right turn which makes their direction as south. From south, if you take a left, you will again come in the east direction. So planes A and D are in east direction.

Now, let us look at planes B and C. After flying for 125 kms, B and C would still be in east direction. From east direction, they take a left turn which means now they are in north. From north, they again take a left which makes them land in the west

Question 4

Time: 00:00:00

A child is looking for his father. He went 90 meters in the East before turning to his right. He went 20 meters before turning to his right again to look for his father at his uncle’s place 30 meters from this point. His father was not there. From here he went 100 meters to the North before meeting his father in a street. What is the smallest distance between the starting point and his father’s position?

100

110

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Option(D) Explanation For this type of question, Keep in mind that when a person moves to his left side, he will move towards anti- clockwise direction and when a person moves to his right side, he will move towards clockwise direction. When a question says moved towards left or right side, we assume that the movement is at an angle of 90 degrees. The movement of the child from A to E is as shown in fig. Clearly, the child meets his father at E. Now, AF = (AB – FB) = (AB – DC) = (90 – 30) m = 60 m. EF = (DE – DF) = (DE – BC) = (100 – 20) m = 80 m. Now the distance is square root of (602 + 802), which will be 100 meters

Question 5

Time: 00:00:00

One evening Amit and Gaurav were talking to each other face to face at a crossing. If Gaurav’s shadow was exactly to the left of Amit, which direction was Amit facing?

South

Northeast

Southeast

North

East

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Since Gaurav and Amit are standing face to face, if Gaurav’s shadow is to the left of Amit, it would be to the right of Gaurav.

Now remember point about shadows above:

If a man faces north, his shadow will be on his right during sunrise and on his left during sunset.

Similarly, if a man faces south, his shadow will be on his left during sunrise and on his right during sunset.

We know from the question that it is sunset and shadow is to the right of Gaurav.

Using point 2 above, Gaurav is facing south. Hence, Amit is facing north.

Question 6

Time: 00:00:00

Gopal starts from his house towards West. After walking a distance of 30 metres, he turned towards right and walked 20 metres. He then turned left and moving a distance of 10 metres, turned to his left again and walked 40 metres. He now turns to the left and walks 5 metres. Finally he turns to his left. In which direction is he walking now ?

North

Southeast

Northeast

East

West

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Option(A) Explanation The movements of Gopal are as shown in Fig. 10 from A to G. Clearly, Gopal is finally walking in the direction FG i.e. North

Question 7

Time: 00:00:00

Saiyeev walks 10 metres towards the South. Turning to the left, he walks 20 metres and then moves to his right. After moving a distance of 20 metres, he turns to the right and walks 20 metres. Finally, he turns to the right and moves a distance of 10 metres. How far and in which direction is he from the starting point ?

10 metres North

20 metres South

20 metres North

10 metres South

None of these

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Option(B)

Explanation

The movements of Saryeev from A to F are

as shown in Fig. 13.

Clearly, Sanjeev's distance from starting point A

= AF = (AB -f BF)

= AB + (BE - EF) • AB • (CD - EF)

= [10 + (20 - 10)) - (10 • 10) m » 20 m.

Also, F lies to the South of A.

So, Sanjeev is 20 metres to the south of his

starting point.

Question 8

Time: 00:00:00

A man walks 1 km towards East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km, after this he turns to North and walks 9 km. Now, how far is he from his starting point ?

3 km

4 km

5 km

7 km

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Option(C)
Explanation
The movements of the man are as shown in
Fig 20 (A to B. B to C, C to D, D to E).
Clearly, DF = BC -5 km
EF = (DE - DF)«(9 - 5) km = 4 km.
BF = CD = 2 km.
AF • AB • BF = AB +CD =(1 +2) km » 3 km.
Man\'s distance from starting point A
= AE = VAF*VAF • EF*EF - \\3*3 • 4*2
= \\25 = 5 km.

Question 9

Time: 00:00:00

Going 50 m to the South of her house, Radhika turns left and goes another 20 m. Then, turning to the North, she goes 30 m and then starts walking to her house. In which direction is she walking now ?

North-west

North

South-east

East

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Option(A) Explanation The movements of Radhika are as shown in Fig 24 (A to B. B to C. C to D and D to A). Clearly, she is finally moving in the direction DA i.e. North-west.

Question 10

Time: 00:00:00

The door of Aditya's house faces the East. From the back side of his house, he walks straight 50 metres, then turns to the right and walks 50 metres again. Finally, he turns towards left and stops after walking 25 metres. Now, Aditya is in which direction from the starting point ?

South-east

North-east

South-west

North-west

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Option (D) Explanation Since Aditya\'s house face* toward* East and he walks from backside of his house, it means that h« starts walking towards West. Thus, the movement* of Aditya are as shown in Fig. 28 (A to B. B to C, C to D). Clearly. Aditya\'s final position is D which is to the North-west of the starting point A.

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