number properties

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sud21: Master | Next Rank: 500 Posts; Posts: 344; Joined: Sat Nov 12, 2011 3:21 amFollowed by: 2 members; Thanked: 1 times

by sud21 » Thu Jan 19, 2012 11:02 pm

X is hundredth digit of 0.0X. Y is thousandth digit of 0.00Y. What is the proximate maximum ratio of the two numbers?

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Source: Beat The GMAT — Problem Solving | Thu Jan 19, 2012 11:02 pm

rijul007: Legendary Member; Posts: 588; Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members; Location: New Delhi, India; Thanked: 130 times; GMAT Score:720

by rijul007 » Fri Jan 20, 2012 12:29 am

sud21 wrote:X is hundredth digit of 0.0X. Y is thousandth digit of 0.00Y. What is the proximate maximum ratio of the two numbers?

0.0X/0.00Y = 10X/Y

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Fri Jan 20, 2012 6:32 am

X is hundredth digit of 0.0X.
Y is thousandth digit of 0.00Y.
What is the proximate maximum ratio of the two numbers?

0.0X/0.00Y = 10X/Y is maximum when X = 9 and y = 1
So maximum value of 0.0X/0.00Y = 90

Anil Gandham
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