GMAT Question of the Day – PS – Overlapping Sets

GMAT Question of the Day

GMAT Question of the Day – Problem Solving – Overlapping Sets

A certain farmer has a field with 105 tomato plants that have genes from at least one of three varieties of tomato: Green Tomatoes, Red Tomatoes, and Purple Tomatoes. 19 of the plants have red and green genes, 17 of the plants have red and purple genes and 14 of the plants have green and purple genes. If 10 of the plants have all three types of genes then how many have only one type of gene?

A. 45

B. 55

C. 60

D. 65

E. 75

[spoiler]E.[/spoiler]

GMAT Question of the Day Solution