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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


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 100 m


Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find the distance between Point A to Point C.

Here, A is the starting point and C is the finishing point. We have to find the distance between AC.
By using, the Pythagorean theorem;
(AB) 2 + (BC) 2 = (AC) 2
(60) 2 + (80) 2 = (AC) 2
3600 + 6400 = (AC) 2
10000 = (AC) 2
Now, squaring on both sides
100 = AC

So, the distance between his home and the starting point is 100 m. Hence, the first option is correct.

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