Verbal Reasoning - Direction Sense Test - Discussion

@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

How to solve this? Please explain me.

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.

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.

Good, Thanks everyone for explaining the answer.

Extend the diagram and make it rectangle so its sides will be 12 and 5 the apply formula you will get 13 as answer.

Very nice explanation, Thanks @Nagendra Murthy.

I can't understand this. Please explain me.

When to use Pythagoras theorem and when to just add the distance. Can some one explain the difference? By simply adding the answer is 12, by the theorem it's 13.

Logically, the distance he travelled towards north will not be considered when calculating the distance covered, am I right?

Why are we using Pythagoras theorem here?