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
• B. If the question can be answered with statement 2 alone
• C. If both statement 1 and statement 2 are needed to answer the question and
• D. If the question cannot be answered even with the help of both statements

Answer 1

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.