Question : Directions: Suyash starts walking from Point A and goes 130 m towards the southeast. Pradeep starts walking from Point B and goes 130 m towards the southwest. After walking these distances, they both meet at Point C. Point D is located in such a way that if points A and B are connected with a straight line, then D would be the midpoint of that line. The distance between Point C and Point D is 120 m. What is the distance between Point A and Point B?
Option 1: 120 m
Option 2: 100 m
Option 3: 80 m
Option 4: 50 m
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Correct Answer: 100 m
Solution : According to the instructions given, the diagram is as follows –
Now, we have to calculate the distance between A and B.
Here, A is the starting point of Suyash, B is the starting point of Pradeep and C is the meeting point of both. AC = BC = 130m; CD = 120m Calculate the distance between AD using the Pythagoras Theorem – (AC)2 = (AD)2 + (CD)2 (130)2 = (AD)2 + (120)2 16900 = (AD)2 + 14400 16900 – 14400 = (AD)2 (AD)2 = 2500 AD = 50m Similarly, BD = 50m
Therefore, AB = 100m. Hence, the second option is correct.
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Question : Directions: Mridul cycles 145 m towards the east, and then turns left and cycles 155 m. Again, he turns left and cycles 225 m. He finally turns left and cycles 95 m to reach his home. What is the shortest distance between his home and the starting point?
Option 1: 100 m
Option 2: 140 m
Option 3: 120 m
Option 4: 60 m
Question : Directions: Seven persons A, B, C, D, E, F, and G are sitting in a straight line facing north. B is sitting between F and A. G is to the immediate left of D. Two persons are sitting between A and D. C is to the immediate right of A. Two persons are sitting between B and E. Who is sitting between D and B?
Option 1: G
Option 2: A
Option 3: F
Option 4: C
Question : Directions: Navya starts walking from her home and goes 27 m towards the west. From there, she turns right and walks a certain distance of P m. Then she turns right and walks 16 m. She then turns right again and walks 72 m. After that, she turns left and walks 11 m. If Navya's current position is 11 m north of her home, then what is the value of P?
Option 1: 56 m
Option 2: 72 m
Option 3: 83 m
Option 4: 45 m
Question : Directions: Starting from point X, a person walked 20 m towards the South to reach point Y. From there, he took a left turn and walked 25 m to reach point Z. He then took a left turn and walked for another 20 m to reach point P. What is the approximate shortest distance between the points X and Z and in which direction is the person's final position with respect to point X?
Option 1: 50 m, South East
Option 2: 36 m, South East
Option 3: 32 m, East
Option 4: 46 m, North West
Question : Directions: Eight friends A, B, C, D, E, F, G, and H are sitting anticlockwise around a circular table facing the center of the table at equal distances between them. If G is sitting in the Southeast, then which pair of persons and direction that person is sitting in is NOT correct?
Option 1: H : West
Option 2: E : Southwest
Option 3: B : North
Option 4: C : Northwest
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