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Question : Directions: Manohar cycles X km towards the west and then turns right and cycles Y km to reach his office. Now, the shortest distance between the starting point and his office is 13 km. What can be the value of X and Y, respectively, (in km)?

Option 1: 12 and 5

Option 2: 8 and 5

Option 3: 11 and 6

Option 4: 6 and 7


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: 12 and 5


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


As we have the shortest distance provided in the question, so applying the Pythagoras theorem in the given options, we can find the values of X and Y.

Let's check the options –
First option: 12 and 5
⇒(12) 2 + (5) 2 = (13) 2
144 + 25 = 169
169 = 169
Second option: 8 and 5
⇒(8) 2 + (5) 2 = (13) 2
64 + 25 = 169
89 ≠ 169
Third option: 11 and 6
⇒(11) 2 + (6) 2 = (13) 2
121 + 36 = 169
157 ≠ 169
Fourth option: 6 and 7
⇒(6) 2 + (7) 2 = (13) 2
36 + 49 = 169
85 ≠ 169

So, only the first option satisfies the given equation, X = 12 and Y = 5. Hence, the first option is correct.

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