126 Views

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.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books