Title 06-Direction Sense.pdf ✅

FOR EDITABLE MS WORD +919206306398 Direction Sense 63 DIRECTION SENSE 6 CHAPTER There are four directions such as North, South, East and West. The word NEWS came from North, East, West and South. There are four regions : North-East (i); North-West (ii); South- East (iii); South-West (iv). NORTH WEST EAST SOUTH I P R IV Q III S II O The directions OP, OS, OQ and OR are - North-East direction; North-West direction; South-West direction; and South-East direction respectively. Note : The candidate must distinguish between the regions and directions, i.e., between North-East region and north-East direction. If you move with your face East-wards, your left hand is towards North and your right hand is towards South. Similarly the positions of the directions of the hands can be fixed when you move in any of the other three directions. EXAMPLES  Ex.1 I go two kilometres towards East. I turn right and go one kilometre I turn right and go one kilometre again. In which direction am I know from my starting place. (A) North - East (B) North - West (C) South - East (D) South - West Sol.[C] The following diagram indicates my movement starting point. 1 kms 1 kms E 2 kms Ex.2 I start from my home and go two kilometres straight. Then I turn towards my right and go one kilometre. I turn again towards my right and go one kilometre again. If I am North-west from my house then in which direction did I go in the beginning ? (A) North (B) South (C) East (D) West Sol.[D]The following diagrams clarifies my movements. S E N W Ex.3 A man travels one km towards East from a specific point of place; there after 5 kms towards South, then 2 kms towards East and then finally 9 km towards North. How far is he from the starting point of place ? Sol. See the figure. 4 km 2 km 9 km C 1 km 2 km E A ? S B 5 km (AB)2 = (AC)2 + (BC)2 = 9 + 16 = 25 AB = 5 km. Ans. Ex.4 Mohan started from his house, walked 2 km North, then 3 km West, then 6 km South. How faraway from his house was he then ? Sol. See the figure. S W N A House C B 3 km 3 km 6 km 2 km 2 km 4 km
FOR EDITABLE MS WORD +919206306398 Direction Sense 64 (AC)2 = (AB)2 + (BC)2 = 9 + 16 = 5 km. Ans. Ex.5 Anil left home and cycled 10 km Southwards, turned right and cycled 5 km & turned right and cycled 10 km and turned left and cycled 10 km. How many kilometres will he have to cycle to reach his home straight ? (A) 10 km (B) 15 km (C) 20 km (D) 25 km Sol.[B] 10 km 5 km 10 km 10 km D A C B E Clearly, Anil starts from home at A, moves 10 km Southwards upto B, turns right and moves 5 km upto C, turns right again and moves 10 km upto D and finally turns left and moves 10 km upto E. Thus, his distance from initial position A = AE = AD + DE = BC + DE = (5 + 10) km = 15 km. Hence, the answer is (B). Ex.6 Amit faces towards North. Turning to his right he walks 25 metres. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he now from his starting point ? (A) South-West (B) South (C) North-West (D) South-East Sol.[D] A 30 m 25 m B C 25 m D 55 m F 40 m E Amit turns towards right from North direction. So, he walks 25 m towards East upto B, turns left and moves 30 m upto C, turns right and moves 25 m upto D. At D he turns to right towards the South and walks 55 m upto E. Next, he again turns to right and walks 40 m upto F. Which is his final position. F is to the South-East of A. So, he is to the South-East from his starting point. Hence, the answer is (D). Ex.7 A man is facing North-West. He turns 90o in the clockwise direction and then 135o in the anticlockwise direction. Which direction is he facing now ? (A) East (B) West (C) North (D) South Sol.[B] O 90o 135o C A B As shown in the figure, the man faces in the direction OA. After moving 90o clockwise, the man faces in the direction OB. On moving to 135o anticlockwise, he faces in the direction OC, which is West. Ex.8 A man is facing North-West. He turns 90o in the clockwise direction, then 180o in the anticlockwise direction and then another 90o in the same direction. Which direction is he facing now ? (A) South (B) South-West (C) West (D) South-East Sol.[D] C D A B 180o 90o 90o O As shown in figure the man initially faces in the direction OA. On moving 90o clockwise, he faces in the direction OB. On further moving 180o anticlockwise, he faces in the direction OC. Finally on moving 90o anti-clockwise, he faces in the direction OD, which is South-East. Ex.9 Kishen walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he with reference to his starting point ? (A) 5 km, North (B) 5 km, North-East (C) 7 km, East (D) 7 km, West Sol. 3 km D A C 6 km 4 km 10 km B
FOR EDITABLE MS WORD +919206306398 Direction Sense 65 The movements of kishen are as shown in figure (A to B, B to C and C to D) AC = (AB – BC) = (10 – 6) km = 4 km. Clearly, D is to the North-East of A.  Kishen's distance from starting point A = AD = 2 2 AC  CD = 2 2 4  3 = 25 = 5 km So, kishen is 5km to the North-East of his starting point. Ex.10 A rabbit run 30 towards East and turns to right, runs 20' and turns to right; runs 19' and again turns to left, runs 15' and then turns to left, runs 22' and finally turns to left and runs 16'. Now, which direction is the rabbit facing ? (A) East (B) West (C) North (D) South Sol.[C] A 30 B 20 16 G F E 22 15 D 19 C The movement of the rabbit from A to G are as show in figure. So, the rabbit's face is in North direction at the end of runs. Ex.11 I am facing South. I turn right and walk 20 m. Then I turn right again and walk 10 m. Then I turn left and walk 10 m and then turning right walk 20 m. Then I turn right again and walk 60 m. In which direction am I from the starting point ? (A) North (B) North-west (C) East (D) North-East Sol.[D] The movement of the person are from A to F, as shown in figure. Clearly, the final position is F which is to the North-East of the starting point A. A E 60 m F 20 m 10 m 10 m B 20 m D C Ex.12 Raj walked 20 metres towards South. Then he turned to his left and walked 25 metres. He then turned to his left and walked 20 metres. He again turned to his right and walked 10 metres. At what distance is he from the starting point and in which direction ? (A) 35 metres, East (B) 35 metres, North (C) 40 metres, East (D) 60 metres, East Sol.[A] A 20 m B 25 m 20 m D E 10 m C The movements of Raj are as shown in figure  Raj's distance from starting point A = AE = (AD + DE) = (BC + DE) = (25 + 10) m = 35 m So, E is to the East of A Ex.13 From his house, Rajan went 25 kms to the North. Then he turned West and covered 20 kms. Then he turned South and covered 15 kms. Finally, turning to East, he covered 20 kms. In which direction was he from his house? (A) East (B) West (C) North (D) South Sol.[C] The movements of Rajan are as shown in figure. (A to B, B to C, C to D and D to E) Clearly, his final position is E which is to the C 15km D 20 km 25 km B A 20 km E North of his house at A. Ex.14 Sanjay went 70 metres in the East before turning to his right. He went 10 metres before turning to his right again and went 10 metres from this point. From here he went 90 metres to the North. How far was he from the starting point ? (A) 80 metres (B) 100 metres (C) 140 metres (D) 260 metres Sol.[B] A 60m D 10 m 10 m C F E 70 m 90m B 80 m The movement of Sanjay from A to E are as shown in figure. Now, AF = (AB – FB) = (AB – DC) = (70 – 10) m = 60 m EF = (DE – DF) = (DE – BC) = (90 – 10) m = 80 m. Required distance = AE = 2 2 AF  EF = 2 2 (60)  (80) = 100 m
FOR EDITABLE MS WORD +919206306398 Direction Sense 66 EXERCISE Q.1 Mohan travels 5 kms West wards, then he turns left and travels 3 kms and further turns left again and travels 9 kms. How far is he from the starting point ? (A) 15 kms (B) 5 kms (C) 4 kms (D) 21 kms Q.2 Ram and Shyam start walking from the same point. Ram goes South and covers 5 kms, then turns left and covers 6 kms. Shyam goes West and covers 2 kms, then turns left and covers 5 kms. How far apart are they from each other ? (A) 8 kms (B) 6 kms (C) 7 kms (D) 9 kms Q.3 A and B start walking in opposite direction. A covers 3 kms and B covers 4 kms. Then A turns right and walks 4 kms and B turns right and walks 3kms. How far is each from the starting point ? (A) 5 kms (B) 4 kms (C) 3 kms (D) 9 kms Q.4 X and Y start walking in opposite directions X walked 7 kms, Y walked 8 kms. There after both turned to their left and X walked 2 kms and Y walked 3 kms. They terned to left again and walked 4 kms. How much distant apart are they from each other ? (A) 8 kms (B) 7 kms (C) 6 kms (D) 9 kms Q.5 A watch reads 7 : 30. If the minute hand points to west, in which direction does the hour hand point ? (A) North-East (B) South-East (C) North-West (D) North Q.6 A man walked 2 mts towards North, turned West and walked 5 mts, then turned North again and walked 1 mts and then turned East and walked 9 kms. How far away is he from the starting point ? (A) 1 mt (B) 2 mts (C) 3 mts (D) 5 mts Q.7 B is to North-East of A, C is to West of B and North-West of A and D is to the south of C in line with BA. In which direction of A is D located ? (A) North (B) East (C) South-West (D) North-East Q.8 My friend and I start simulataneously towards each other from two places 120 mts. apart. After walking 40 mts, my friend turns left and goes 10 mts and then turns right and goes 20 mts and then turns right again and comes back to the road on which he had started walking. If we walk with the same speed, what is the distance between us at this point of time ? (A) 50 mts (B) 20 mts (C) 30 mts (D) 40 mts Q.9 I went 20 m to the south, then I turned North and covered 10 m and then West and covered 10 m. In which direction am I from my house? (A) North-East (B) South-West (C) East (D) West Q.10 If North-West become North, North-East become East and so on. What will South become ? (A) North-East (B) South-East (C) South (D) South-West Q.11 A dog is taken out every evening by the owner whose house faces East. They walk 100 m West, then 250 m in the South. In which direction should they take to reach home ? (A) North-East (B) North (C) North-West (D) South-East Q.12 Sonu wants to go to the market. He starts from his house towards South, reaches at a crossing after 20 mts. He turns towards East goes 10 mts till the second crossing and turns again, moves towards North straight for 20 mts where a marketing complex exists. In which direction is the market from his house ? (A) North (B) South (C) East (D) West Q.13 If North-East become south, South-East become West and so on. What will East become ?