Question

A man walks 4 m towards east and then turns 60 degree to north of east

Answer 1

A is starting point. Man ckout the FAQ!

x

Use the google search bar on side panel. It searches through all previous GATE/other questions.

Login

GATE Overflow

Ask

Gate 2015 Aptitude Set 8 Q4

+1vote

912 views

asked Feb 15, 2016 in Numerical Ability by Akash Kanase Veteran (48.6k points) 
retagged Jun 23, 2017 by Arjun912 views

Q.4 Mr. Vivek walks 6 meters North-east, then turns and walks 6 meters South-east, both at 60 degrees 
to east. He further moves 2 meters South and 4 meters West. What is the straight distance in metres 
between the point he started from and the point he finally reached? 
(A) 2√2 
(B) 2 
(C) √2 
(D) 1/√2 
 

gate2015aptiset8 numerical-ability

   

Please log in or register to answer this question.

1 Answer

+4votes

answered May 15, 2016 by khushtak Boss (8.1kpoints)

option A 2√2



A is starting point. Vivek walks 6 meters North-east to point B, then turns and walks 6 meters South-east to the point C.He further moves 2 meters South to the point D and 4 meters West to the point E and E is end point. 

as mentioned in fig. AC=6m and ED= FC = 4m

then AF=AC- FC = 6-4=2m

and EF= CD = 2m and angle AFE is right angle 
by pythagoras theorem 

AE2 = EF2 + AF2

AE2 = (4+4)

AE=2√2