Question : Directions: Stanley starts cycling from Point A. He cycles x km towards the east and then turns right and cycles 3 km. He again turns right and cycles for (x + 1) km. He again turns right and cycles for (2x + 1) km. He takes a final right turn and cycles for 1 km to stop at Point B. Point B is 6 km north of Point A. What is the value of x?
Option 1: 9
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 4
Solution : Firstly, we will draw the diagram as per the given instructions –
As we see, the distance (FE) = 2x + 1 is also equal to the distance (AB) + (CD). AB = 6km; CD = 3Km ⇒ 2x + 1 = 6 + 3 ⇒ 2x + 1 = 9 ⇒ 2x = 9 – 1 ⇒ 2x = 8 ⇒ x = 8 ÷ 2 ⇒ x = 4
So, the value of x is 4. Hence, the third option is correct.
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Question : Directions: A person starts from point Z and moves 7 km towards the South. He turns right and moves 5 km, turns right and moves 3 km, then turns right and moves 1 km. He takes a left turn and moves 4 km to reach point X. How much and in which direction does he need to move now to reach point Z?
Option 1: 4 km South
Option 2: 4 km East
Option 3: 4 km West
Option 4: 6 km East
Question : Directions: Prince drives 6 km towards the east from point A, takes a right turn, and drives 3 km. He again takes a right turn and drives 8 km. He takes one more right turn and drives 3 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 4 km towards the west
Option 2: 2 km towards the north
Option 3: 2 km towards the east
Option 4: 4 km towards the south
Question : Directions: Rajesh drives 4 km towards the west from point A and then takes a right turn and drives 8 km. He again takes a right turn and drives 8 km. He again takes one more right turn and drives 4 km. Finally, he takes a right turn and drives 4 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 3 km towards the north
Option 2: 2 km towards the east
Option 3: 4 km towards the south
Option 4: 4 km towards the west
Question : Directions: Param drives 8 km north from point A. He takes a right turn and drives 8 km. Again he takes a right turn and drives 4 km. Finally, he takes a right turn and drives 8 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 5 km towards north
Option 2: 4 km towards south
Option 3: 6 km towards east
Option 4: 3 km towards west
Question : Directions: Deepa starts from her house and cycles 4 km towards the north and then turns left and cycles 6 km. She again turns left and cycles for X km to reach her school. Point A is to the east of her school and also 3 km to the south of her house. What is the value of X?
Option 1: 1 km
Option 2: 7 km
Option 3: 9 km
Option 4: 3 km
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