Ultimate Quant Marathon Blog For IIM CAT

For All Your Quant Queries

Problem Of The Week 27

with 2 comments

A golden rectangle is a rectangle in which the ratio of the width to length is the same as that of the length to the sum of the length and width. Which of the following is also true about a golden rectangle?
I. The ratio of the length to width is the same as the ratio of the width to the difference of the length and width.
II. The product of the length and width is equal to the product of the sum of the two sides and the difference of the two sides.
III. The length has to be greater than two times the width.

(1) Only I and II (2) Only II and III
(3) Only I and III (4) All the three statements

(5) None of these


Written by Implex

September 25, 2008 at 5:26 am

2 Responses

Subscribe to comments with RSS.

  1. let width =w, length=l
    Now, w/l=l/(w+l)
    Taking inverse of this, l/w=(w+l)/l
    Now, subtracting denominator from numerator from both the sides.(Pardon my ignorance.. but hve forgotten what is stands for componendo/dividendo stuff.. bachpan mein padha tha)
    Taking inverse l/w=w/(l-w)
    So I is true.
    Now, again performing operations on this we get 2 as well
    Now, for III, taking l=3, we get w as ~1.8
    So, III isn’t true.
    Answer option 1

    P.S. implex please put the fundas of componendo/dividendo as to what is valid and what is not.


    September 25, 2008 at 4:59 pm

  2. nicely done !


    September 25, 2008 at 10:21 pm

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s

%d bloggers like this: