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vaivish: Master | Next Rank: 500 Posts; Posts: 371; Joined: Tue Apr 29, 2008 10:16 am; Thanked: 6 times; Followed by:1 members

105

by vaivish » Tue Aug 26, 2008 8:06 am

For a certain dinner, the ratio of number of chicken to beef to fish is 7 to 9 to 2. If the number of fish is greater than 5, what is the number of fish?
(1) The sum of chicken and beef is less than 30.
(2) The number of chicken is less than 25.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA is d.

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Source: Beat The GMAT — Data Sufficiency | Tue Aug 26, 2008 8:06 am

bomond: Senior | Next Rank: 100 Posts; Posts: 33; Joined: Mon Aug 04, 2008 6:52 am; Thanked: 2 times

Re: 105

by bomond » Wed Aug 27, 2008 11:21 am

vaivish wrote:For a certain dinner, the ratio of number of chicken to beef to fish is 7 to 9 to 2. If the number of fish is greater than 5, what is the number of fish?
(1) The sum of chicken and beef is less than 30.
(2) The number of chicken is less than 25.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA is d.

Let's assume that chicken is 7x, beef 9x and fish 2x
The number of fish is greater than 5. Then 2x>5 => x>2.5

ST 1. I think there's a typo. Sum of chicken and fish(not beef) is less than 30. 7x+2x<30. Then x<3.33. x must be greater than 2.5. So x=3. Then the number of fish is 6

ST 2. 7x<25 => x<3.... => x=3. Fish =6

D

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sethids: Master | Next Rank: 500 Posts; Posts: 135; Joined: Mon Jun 23, 2008 3:56 am; Thanked: 7 times

by sethids » Wed Aug 27, 2008 1:24 pm

ST 2. 7x<25 => x<3.... => x=3. Fish =6

How does this lead to x = 3?
If x < 25/7, x could be 1, 2 or 3

vaivish, please confirm if there is a typo (as mentioned in bomond's post) in the initial text posted

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Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pm; Location: Toronto; Thanked: 1710 times; Followed by:614 members; GMAT Score:800

by Stuart@KaplanGMAT » Wed Aug 27, 2008 1:30 pm

sethids wrote:
ST 2. 7x<25 => x<3.... => x=3. Fish =6
How does this lead to x = 3?
If x < 25/7, x could be 1, 2 or 3

vaivish, please confirm if there is a typo (as mentioned in bomond's post) in the initial text posted

From the original, we know that the number of fish is > 5, so x can't be 1 or 2.

So, if x > 5/2 AND x < 25/7, the only integer value left is 3.