In a certain city, 80 percent of the households have cable television, and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:

(A) 30,000 to 90,000 inclusive
(B) 30,000 to 120,000 inclusive
(C) 60,000 to 90,000 inclusive
(D) 60,000 to 120,000 inclusive
(E) 90,000 to 120,000 inclusive

In a certain city, 80 percent of the households have cable television, and 60 percent of the households have videocassette recorders

A survey was conducted to determine the popularity of 3 foods among students. The data collected from 75 students are summarized as below

48 like Pizza
45 like Hoagies
58 like tacos
28 like pizza and hoagies
37 like hoagies and tacos
40 like pizza and tacos
25 like all three food

What is the number of students who like none or only one of the foods?

(A) 4
(B) 16
(C) 17
(D) 20
(E) 23

In a village of 100 households, 75 have at least one DVD player, 80 have at least one cell phone, and 55 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:

(A) 65
(B) 55
(C) 45
(D) 35
(E) 25

GMAT Question of the Day - Data Sufficiency - Overlapping Sets

Of the leopards at a certain zoo, 20% are both spotted and mature. If all the leopards at the zoo are either spotted or not spotted, or mature or immature, is the ratio of the number of immature leopards who are spotted to the number of immature leopards who are not spotted greater than 1?

(1) If the number of immature spotted leopards doubled than there would be 102 total leopards at the zoo.

(2) If the number of immature but not spotted leopards were decreased by a half there would 86 total leopards at the zoo.

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GMAT Question of the Day Solution

This overlapping sets question might leave you feeling a bit empty. Thinking - what was the point of that? Well, the point of that was to define the information that you were given and then to realize that you didn't have enough to answer the questions. That's what DS questions with an "E" answer are like. Sometimes there is no further meaning than just plain old insufficient.

GMAT Question of the Day Overlapping Sets Solution

 

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

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GMAT Question of the Day Solution

 

 

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