Verbal Reasoning - Direction Sense Test - Discussion

Discussion Forum : Direction Sense Test - Direction Sense 1 (Q.No. 12)
12.
A man walks 2 km towards North. Then he turns to East and walks 10 km. After this he turns to North and walks 3 km. Again he turns towards East and walks 2 km. How far is he from the starting point?
10 km
13 km
15 km
None of these
Answer: Option
Explanation:
Discussion:
38 comments Page 1 of 4.

Shivi said:   5 years ago
@All.

Let me explain it simply,

As in the answer pic (please see there) if we add the distances of AB and DC it would be 5 km(2+3) and the distances of BC and DE it would be 12km (10+2). Now, just extend AB and DE , we would get a point say F ( on their intersecting point). Now join A to E, we will get a right-angled triangle named triangle AFE.

Now by Pythagoras theorem, we will find out the line segment AE.
Hypotenuse^2= perpendicular^2 + base^2.
AE^2 = AF^2+ FE^2,
AE^2= 5^2 + 12^2,
AE^2= 25+144,
AE^2 = 169,
AE x AE= 13 x 13,
AE= 13.
So, 13 (option B) is the right answer.
Hope it helps
(54)

Manviya said:   4 years ago
How to solve this? Please explain me.
(13)

Irfana said:   7 years ago
Try making a big right-angled triangle from the Dia.

Now the base value will be 10+2 = 12 and the height will be 2+3= 5. Now use Pythagoras theorem. 5^2+ 12^2 . Hence answer.
(9)

Gurwinder said:   4 years ago
Good, Thanks everyone for explaining the answer.
(3)

Krishna said:   8 years ago
Extend the diagram and make it rectangle so its sides will be 12 and 5 the apply formula you will get 13 as answer.
(3)

AKRAM said:   1 decade ago
Using Pythagoras theorem.

AC+CE = AE required solution.

To find AC, CE ?

(AC)^2 = (2)^2+(10)^2 = Square root of 104 = 10.19.

(CE)^2 = (3)^2+(2)^2 = Square root of 13 = 3.6.

So AC+CE = 13.79. But option gave 13.

Hope all of you got it.
(3)

Viraj said:   6 years ago
Very nice explanation, Thanks @Nagendra Murthy.
(2)

Singh said:   7 years ago
I can't understand this. Please explain me.
(2)

Nagendramurthy said:   1 decade ago
No. Here we have to find the shortest distance from a to e. so that can be find out like this..

Total distance travel towards north 2+3= 5km
Total distance travel towards east 10+2= 12km
Therefore the shortest distance will sqrt of (5*5+12*12) = sqrt(169) = 13
I think u got my point. Have a nice day.
(1)

Subha said:   8 years ago
If we don't get a perfect square number like the square root of 533.

Then what will be the answer, Is this 23 or none of these?
(1)


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