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#1. A man walks 5 km toward South and then turns to the right. After walking 3 km, he turns to the left and walks 5 km. Now in which direction is he from the starting place?

Logic: South (5km) to Right turn (West, 3km) to Left turn (South, 5km). Starting point से देखने पर वह South-West में है।

#2. Rahul travels 10 km towards North. From there, he travels 6 km towards South. Then, he travels 3 km towards East. How far and in which direction is he now with reference to his starting point?

Logic: $10km$ North जाकर $6km$ South वापस आया (Net $4km$ North). फिर $3km$ East गया। Pythogoras theorem $(sqrt{4^2 + 3^2})$ से दूरी $5km$ आई और दिशा North-East

#3. One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?

Logic: सुबह सूरज East में होता है, तो shadow West में गिरेगी। अगर shadow Suresh के right में है, तो Suresh का चेहरा South की तरफ होगा।

#4. If South-East becomes North, North-East becomes West and so on. What will West become?

Logic: यहाँ दिशाओं को $135^\circ$ anti-clockwise घुमाया गया है। West को $135^\circ$ anti-clockwise घुमाने पर South-East आएगा।

#5. A child is looking for his father. He went 90 metres in the East before turning to his right. He went 20 metres before turning to his right again to look for his father at his uncle’s place 30 metres from this point. His father was not there. From here he went 100 metres to the North before meeting his father in a street. How far did the son meet his father from the starting point?

Logic: Horizontal distance $= 90 – 30 = 60m$. Vertical distance $= 100 – 20 = 80m$. Distance $= sqrt{60^2 + 80^2} = mathbf{100m}$

#6. 6. I am facing South. I turn right and walk 20m. Then I turn right again and walk 10m. Then I turn left and walk 10m and then turning right walk 20m. Then I turn right again and walk 60m. In which direction am I from the starting point?

Logic: Step-by-step turns लेने के बाद आप पाएंगे कि व्यक्ति North और East के बीच में कहीं है। उत्तर: North-East

#7. A village is to the East of Village B. Village C is to the North of Village A. Village D is to the Left of Village C. In which direction is Village D with respect to Village A?

Logic: A is East of B. C is North of A. D is West of C. तो A से देखने पर D North-West में होगा।

#8. K is 40 m South-West of L. If M is 40 m South-East of L, then M is in which direction of K?

Logic: K और M दोनों L से $40m$ की दूरी पर हैं। K, West वाली side में झुका है और M, East वाली side में। तो M, K के बिल्कुल East में होगा।

#9. A man walks 2 km North, then turns East and walks 10 km. After this he turns North and walks 3 km. Again he turns towards East and walks 2 km. How far is he from the starting point?

Logic: Total North $= 2 + 3 = 5km$. Total East $= 10 + 2 = 12km$. $sqrt{5^2 + 12^2} = mathbf{13km}$

#10. Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?

Logic: Y, X के East में है। X, Z के North में है। P, Z के South में है। Y से देखने पर P South-West दिशा में पड़ेगा।

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