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 ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 9
The Path followed by Manoj is shown in diagram below:
Total distance travelled : 17 km
X + Y + 4 = 17
X + Y = 13 (Given X and Y are perfect square ; X > Y)
So, only perfect square that lies below 13 are 4 and 9
X = 9
Y = 4