[PR] Is the question wrong or am i wrong..??

This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Thu Jun 21, 2007 9:19 am
Hey there is a tricky question..

The width, length, and diagonal of a rectangle could be represented by which of the following groups of numbers?

I. 2, 3, sqrt(13)
II. sqrt(10) , 4, 6
III. 3, 10, 11


I only

I and II only

I and III only

II and III only

I, II, and III


Now.. I say that this question is wrong.. does any one agrees with me.. ?? so do you say.. i'm wrong.. ?? :wink:
With regards,
Source: — Problem Solving |

Master | Next Rank: 500 Posts
Posts: 132
Joined: Sun Apr 27, 2008 10:31 am
Location: Portugal
Thanked: 7 times

by atlantic » Tue Jun 24, 2008 2:37 am
IMO only I.

Senior | Next Rank: 100 Posts
Posts: 39
Joined: Sun Jun 15, 2008 10:50 pm
Thanked: 4 times
Xia_devil wrote:Hey there is a tricky question..

The width, length, and diagonal of a rectangle could be represented by which of the following groups of numbers?

I. 2, 3, sqrt(13)
II. sqrt(10) , 4, 6
III. 3, 10, 11


I only

I and II only

I and III only

II and III only

I, II, and III


Now.. I say that this question is wrong.. does any one agrees with me.. ?? so do you say.. i'm wrong.. ?? :wink:
Nopes, I don't :-)

The width, length and diagonal of a rectangle will be a Pytahgorean triplet.
Looking at the options only I is a triplet.

(2)^2 + (3)^2 = (sqrt 13)^2

Choose the first option. (I) only.

User avatar
Legendary Member
Posts: 566
Joined: Fri Jan 04, 2008 11:01 am
Location: Philadelphia
Thanked: 31 times
GMAT Score:640

by AleksandrM » Tue Jun 24, 2008 9:34 am
I only. The key here is just test the lenth and width given for the triangle and see what you get for the hypotenus. The only one that matches is I.
Last edited by AleksandrM on Tue Jun 24, 2008 3:09 pm, edited 1 time in total.

Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Mon Jun 23, 2008 7:45 am

by elaj » Tue Jun 24, 2008 2:53 pm
The anwer is I. The question is correct.
use pitogorean theorem. sqrt (13) = sq(4) + sq (9). This check out and the rest are wrong.
Good luck

Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Mon Jun 23, 2008 7:45 am

by elaj » Tue Jun 24, 2008 2:55 pm
The anwer is I. The question is correct.
use pitogorean theorem. sqrt (13) = sq(4) + sq (9). This check out and the rest are wrong.
Good luck

Master | Next Rank: 500 Posts
Posts: 222
Joined: Fri Jan 04, 2008 8:10 pm
Thanked: 15 times

by sibbineni » Tue Jun 24, 2008 3:13 pm
The question is correct

For Rectangle:

All angles are 90 and opposite sides are equal.

So

Only I satisfies the Condition that

diagonal=sqrt(13),width=2,length=3

apply pythagaros theorem to find the diaognal

diagonal=sqrt(3*3+2*2)

[/img]