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Olympiad Test : Direction Sense Test


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20 Questions MCQ Test Maths Olympiad Class 6 | Olympiad Test : Direction Sense Test

Olympiad Test : Direction Sense Test for Class 6 2022 is part of Maths Olympiad Class 6 preparation. The Olympiad Test : Direction Sense Test questions and answers have been prepared according to the Class 6 exam syllabus.The Olympiad Test : Direction Sense Test MCQs are made for Class 6 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test : Direction Sense Test below.
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Olympiad Test : Direction Sense Test - Question 1

One morning after sunrise, Mohan was standing facing a pole. The shadow of the pole fall exactly to his right. Which direction was he facing?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 1

Sun rises in the east in the morning. So, in morning, the shadow falls towards the west. Now, Mohan’s shadow falls to his right. So, he is standing, facing south. 

Olympiad Test : Direction Sense Test - Question 2

If south – east is called east, north – west is called west, south – west is called south and so on what will north be called?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 2

In diagram (A) the directions are shown as they actually are. Diagram (B) is as per the given data. So, comparing the direction of north in (A) with that in (B), north will be called north west.

Olympiad Test : Direction Sense Test - Question 3

A, B, C and D are playing a game of carom. A & C and B & D are partners. D is to the right of C, who is facing west, then in which direction B is facing?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 3

As per the given data, C faces north. A faces towards west. D is to the right of C. So, D is facing towards south. Thus, B who is the partner of D will face towards north. 

Olympiad Test : Direction Sense Test - Question 4

Rajesh is 40m south – west of Rohit. Rakesh is 40m south-east of Rohit. Then Rakesh is in which direction of Rajesh?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 4

It is clear from the adjoining diagram that Rakesh lies to the east of Rajesh.

Olympiad Test : Direction Sense Test - Question 5

Pravin wants to go to the college. He starts from his home which is in the east and comes to a crossing. The road to the left ends in a theatre, straight ahead in the hospital. In which direction is the college?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 5

Starting from his house in the East, Pravin moves west wards. Then, the theatre, which is the left, will be in the south. The hospital, which is straight ahead, will be to the west. So, the college will be to the north.

Olympiad Test : Direction Sense Test - Question 6

Naresh walks 30 m towards south. Then turning to his right, he walks 30 m then turning to his left, he walks 20 m. Again he turns to his left and walked 30 m. How far is he from his initial position?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 6

The movments of the Naresh are as shown in figure

∴ Naresh’s distance from initial position A
= AE = (AB + BE) = (AB + CD) 
= (30 + 20) m = 50m 

Olympiad Test : Direction Sense Test - Question 7

Manoj walks 10 m in front end 10m to the right then every time turning to his left. He walks 5 m, 15 m and 15 m respectively. How far is he now from his starting point?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 7

The movements of Manoj are as shown in figure (O to P, P to Q, Q to R, R to S and S to T).

Since TS = OP + QR, so T lies with O. 
∴ Required distance
OT = (RS – PQ) 
= (15 – 10) m
= 5 m

Olympiad Test : Direction Sense Test - Question 8

Nilesh went 15 km to the west from my house then turned left and walked 20 km. Then turned east and walked 25 km and finally turning left covered 20 km. How far was he from his house?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 8

The movements of Nilesh are as shown in figure

∴ Nilesh distance from his house at A.
AE = (BE – BA) 
= (CD – BA) 
= (25 – 15) m = 10 m

Olympiad Test : Direction Sense Test - Question 9

Geeta walks Northwards. After a while, she turns to her right and  a little further to her left. Finally after walking a distance of 0.5km, she turns to her left again. In which direction is she moving now?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 9

The movements of Geeta are as shown in figure. Clearly she is finally walking in the direction DE i.e, west.

Olympiad Test : Direction Sense Test - Question 10

Kishan walked 40 m towards East, took a right turn and walked 50 m. Then he took a left turn and walked 40 m. in which direction is he now from the starting point?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 10

The movements of Kishan are as shown in figure (A to B, B to C, C to D).

Clearly his final position is D which is to south-east of starting point A. 

Olympiad Test : Direction Sense Test - Question 11

Mahesh goes 30 m North then turns right and walks 40 m then again turns right and walks 20 m then again turns right and walks 40m. How many metres is he from his starting position. 

Detailed Solution for Olympiad Test : Direction Sense Test - Question 11

The movements of Mahesh are as shown in figure (A to B, B to C, C to D, D to E).

∴  Mahesh distance from his original position A = AE = (AB – BE) 
= (AB – CD)
= (30 – 20)m
= 10 m 

Olympiad Test : Direction Sense Test - Question 12

A, B, C, D, E, F, G, H are sitting around a round table in the same order at equal distance for group discussion. Their positions are clockwise. If G sits in the north then what will be the position of D?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 12

Clearly, the seating arrangement is as shown in the adjoining figure.

So, D is at the south west position. 

Olympiad Test : Direction Sense Test - Question 13

If P is to south of Q and R is to the east of Q. In which direction is P with respect to R?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 13

Clearly comparing the direction of P w.r.t. R in second diagram with that in the first diagram, P will be south – west of R.

Olympiad Test : Direction Sense Test - Question 14

Ramesh is performing yoga with his head down and legs up. His face is towards the west. In which direction will his left hand be?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 14

The posture of the Ramesh is as shown. Clearly, the left hand points towards north.

Olympiad Test : Direction Sense Test - Question 15

A clock is so placed that at 12 noon its minute hand points towards north-east. In what direction does its hour hand point at 1.30 P.M. ?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 15

Clearly, the positions of the minute and hour hands at 12 noon and 1.30 p.m. are as shown in the diagram. So, as shown, the hour hand at 1.30 p.m. points towards the east.

Olympiad Test : Direction Sense Test - Question 16

Rohan is facing North. He turns 135° in the anticlockwise direction and then 180° in the clockwise direction. Which direction is he facing now?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 16

Rohan initially faces in the direction OA. On moving 135° anti clockwise, he faces in the direction OB. On further moving 180° clockwise, he faces on the direction OC, which is south west, as shown in figure

Olympiad Test : Direction Sense Test - Question 17

Ritesh went to meet his cousin to another village situated 5 km away in north-east direction of Ritesh’s village. From there he came to meet his friend living in a village situated 4 km in the south of his cousin’s village. How far away and in which direction is he now?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 17

Ritesh moves from his village at O to his uncle’s village at A and thereon to his father in law village at B. Clearly, ∆OBA is right-angled at B.

So, OA = OB2 + AB2
⇒ OB2 = OA2 – AB2

 = 3km.

Olympiad Test : Direction Sense Test - Question 18

Karim goes 30 m North then turns right and walks 40 m then again turns right and walks 20 m, then again turns right and walks 40m. How far is he from his original position?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 18

The movements of Karim are as shown in figure (A to B, B to C, C to D, D to E).

∴ Karim’s distance from his original position A = AE = (AB – BE) 
= (AB – CD)
= (30 – 20) m = 10 m 

Olympiad Test : Direction Sense Test - Question 19

Ankur walked 30 m towards east, took a right turn and walked 40 m. then took a left turn and walked 30 m. In which direction is he now from the starting point?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 19

The movements of Ankur are as shown in figure (P to Q, Q to R and R to S). Clearly, his final position is S which is to the south east of the starting point P.
 
 

Olympiad Test : Direction Sense Test - Question 20

Rohit went 15 km to the west from my house then turned left and walked 20 km. he then turned east and walked 25 km and finally turning left covered 20 km. How far was he from his house?

Detailed Solution for Olympiad Test : Direction Sense Test - Question 20

The movements of Rohit are as shown in figure

∴ Rohit’s distance from his house at A
AE = (BE – BA) 
= (CD – BA) 
= (25 – 15) km
= 10 km  

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