Less than 1

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Fri Aug 28, 2009 10:45 am

If 0<r<1 and 1<s<2, which of the following must be less than 1?

1)r/s
2)r*s
3)s-r

This question seems easy. However OA says 1 ONLY. I say that 2 is correct too.
OA should be 1 and 2.

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Source: Beat The GMAT — Problem Solving | Fri Aug 28, 2009 10:45 am

sbasha: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Tue Jul 21, 2009 4:04 pm; Location: Toronto; Thanked: 4 times; GMAT Score:680

by sbasha » Fri Aug 28, 2009 10:59 am

r * s wont be right

r = 0.9
s = 1.9 , in this case r*s >1

Regards

Syed Basha

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Fri Aug 28, 2009 11:07 am

sbasha wrote:r * s wont be right

r = 0.9
s = 1.9 , in this case r*s >1

For answer 2, almost all other options of numbers will make it less than 1.

How do I try numbers correctly in a minute and 50 seconds ???

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bharathh: Master | Next Rank: 500 Posts; Posts: 159; Joined: Thu Aug 27, 2009 10:30 am; Thanked: 19 times

by bharathh » Fri Aug 28, 2009 11:13 am

This is a tough one...

I go for the boundary conditions...

0.1, 0.9, 1.1, 1.9

Try combinations of these 4 values. What is the recommended strategy in terms of what numbers should be tried out for questions such as these?

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tom4lax: Master | Next Rank: 500 Posts; Posts: 175; Joined: Mon Feb 09, 2009 3:57 pm; Thanked: 4 times

by tom4lax » Fri Aug 28, 2009 6:14 pm

Easier to visualize if you work with fractions.

For II) we want to find numbers that dont satisfy the condition of <1.

for what ever number you pick for r, when is it not less than 1, so equal or greater to 1?

r = 3/4
3/4 S = 1
S = 4/3

II is not always True

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