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Question

# On a certain sight-seeing tour, the ratio of the number of Indians to the number of Chinese was 5 to 2. What was the number of Americans on the sight-seeing tour? (1) On the sight-seeing tour, the ratio of the number of Chinese to the number of Americans was 5 to 11. (2) The number of Indians on the sight-seeing tour was less than 30

A

If the question can be answered with statement 1 alone

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B

If the question can be answered with statement 2 alone

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C

If both statement 1 and statement 2 are needed to answer the question and

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D

If the question cannot be answered even with the help of both statements

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Solution

## The correct option is C If both statement 1 and statement 2 are needed to answer the question and Given Indians: Chinese = 5:2 (1) Chinese: Americans = 5:11, it is insufficient (2) Indians<30; This alone is insufficient Together, I:C:A = 25:10:22 (all have to be integers!) thus I=25 and A=22.

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