Verbal Reasoning - Direction Sense Test - Discussion

How to solve this? Please explain me.

Good, Thanks everyone for explaining the answer.

@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

Very nice explanation, Thanks @Nagendra Murthy.

I can't understand 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.

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?

Take another letter let it be 'F', and connect it to B and D making a right angled triangle AFE. You'll able to know how Pythagoras has been applied here.

Can anyone explain that why we have to apply Pythagoras theorem here to get the answer?

Please explain me.

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