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183) how many food items

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by ern5231 » Thu May 13, 2010 11:03 pm
Three food items - Chicken, Beef and Fish are present in the ratio 7:5:2. More than 5 fishes are present. Total how many food items are present?

1)Beef less than 30
2)Total Chicken and Fish are less than 35
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Source: — Data Sufficiency |
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by electrico » Thu May 13, 2010 11:44 pm
Here, the total food items should be amultiple of 14 - 42, 56, 70... (note that for fish >5, you need at least a total of 42 food items.

Stmn1: beef could be a multiple of 5. Total can not be determined. Total can be 42 ( 21, 15, 6) or 56 ( 28, 20, 8) or 70 (35, 25, 10 ). NOT Sufficient.

Stmnt 2: SUFFICIENT because for a total food items of 42 (21, 15, 6) only - this condition is satisfied.

[when total is 56, chicken + fish = 28+8 = 36]

So, IMO B.
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