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.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
