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Viper83: Senior | Next Rank: 100 Posts; Posts: 67; Joined: Mon Aug 16, 2010 4:42 am

by Viper83 » Sun Jun 19, 2011 2:34 am

if K is a positive 3-digit integer, what is the hundreds digit of K?

1. the hundreds digit of K+150 is 4.
2. the tens digit of K+25 is 7.

E

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Source: Beat The GMAT — Data Sufficiency | Sun Jun 19, 2011 2:34 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Sun Jun 19, 2011 2:53 am

Hi,
From(1): K+150 lies in [400,499]
So, K lies in [250,349]
Hundreds digit of K can be 2 or 3
Not sufficient
From(2): K+25 has 7 as tens digit
So, K has 4 or 5 as tens digit
Not sufficient
Both(1)&(2):if K = 250, hundreds digit is 2
if K is 345, hundreds digit is 3
Not sufficient

Hence, E

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amit2k9: Master | Next Rank: 500 Posts; Posts: 461; Joined: Tue May 10, 2011 9:09 amFollowed by: 3 members; Location: pune; Thanked: 36 times

by amit2k9 » Sun Jun 19, 2011 2:58 am

a 250+150 = 400 or 300+150 = 450 so 2,3 possible. not sufficient.

b 150,245 or 255 is possible. not sufficient.

a+b 250 is possible. 345 is also possible as 345+25 = 370. 345+150 495.

not sufficient.

E it is.

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