Question : Directions: Manoj starts from point A and drives X km towards the south and then turns left and drives Y km. He then takes a right turn and drives for 4 km to reach point D. If Manoj drove a total of 17 km between Points A and D, and both X and Y are perfect squares where X > Y, then what is the value of X?
Option 1: 4 km
Option 2: 11 km
Option 3: 5 km
Option 4: 9 km
Correct Answer: 9 km
Solution : According to the instructions given, the diagram is as follows –
Now, we have to find the values of X and Y.
Here, A is the starting point and D is the finishing point. AB = X km; BC = Y km; CD = 4 km And, the total distance between Points A and D is 17 km. ⇒ AD = AB + BC + CD ⇒ 17 = X + Y + 4 ⇒ 17 – 4 = X + Y ⇒ 13 = X + Y It is given that both X and Y are perfect squares where X > Y, so X = 9 km and Y = 4 km.
So, the value of X is 9 km. Hence, the fourth option is correct.
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Question : Directions: Pooja drives 4 km towards the east from point A. She takes a right turn and drives 2 km. Then she takes a left turn and drives 3 km. Again, she turns left and drives 2 km to point B. How far and towards which direction should she drive now to reach point A again?
Option 1: 7 km towards west
Option 2: 4 km towards south
Option 3: 4 km towards east
Option 4: 5 km towards north
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 3: 6 km towards east
Option 4: 3 km towards west
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: Karan drives 6 km towards north from point A. He takes a left turn and drives 3 km. Again he takes a left turn and drives 3 km. He takes a left turn and drives 6 km. He takes a 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: 5 km towards the east
Option 2: 3 km towards the west
Option 3: 4 km towards the north
Option 4: 2 km towards the south
Question : Directions: Suman drives 3 km towards north from point A. She takes a right turn and drives 4 km more. Then she takes another right turn and drives 3 km. Finally, she takes one more right turn and drives 6 km to reach point B. How far and towards which direction should she drive to reach point A again?
Option 1: 2 km towards the south
Option 2: 3 km towards the north
Option 3: 3 km towards the west
Option 4: 2 km towards the east
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