A man starts walking in the north-easterly direction from a particular point. After walking a distance of 500 metres, he turns southward and walks a distance of 400 metres. At the end of this walk he is situated

examrobotsa's picture
Q: 150 (IAS/1996)
A man starts walking in the north-easterly direction from a particular point. After walking a distance of 500 metres, he turns southward and walks a distance of 400 metres. At the end of this walk he is situated

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,10,11,3,7,10,1

keywords: 

{'metres north': [0, 1, 0, 0], 'walk': [0, 1, 0, 0], 'north': [0, 0, 1, 0], 'southward': [0, 2, 1, 0], 'distance': [0, 3, 3, 3], 'easterly direction': [0, 1, 0, 0], 'east': [0, 0, 2, 1], 'starting point': [0, 1, 0, 0], 'metres': [0, 1, 1, 0], 'particular point': [0, 1, 0, 0]}

Option 1 suggests that the man is 300 meters north of the starting point. This isn`t correct as he walked south 400 meters after walking northeasterly for 500 meters. Option 2 suggests he is 100 meters northeast. This is incorrect as the southward walk took him 400 meters, not directly south of the initial 500 meters northeasterly direction. Option 4 also suggests that the man is 100 meters north of the starting point. This is incorrect as the 400 meters walk to the south would have taken him past the starting point. The correct answer is option 3, which states that the man is 300 meters east of the starting point. This makes sense considering the man initially headed northeast and then south. Musings of any northerly direction would be nullified by the later southern walk.