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A survey of 395 children given at a local elementary school showed that 175 like

ID: 3168218 • Letter: A

Question

A survey of 395 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 170 do not like chocolate or pistachio ice cream. How many children like at least one kind of ice cream mentioned in the survey?

a) 50

b) 300

c) 225

d) 150

e) 100

301 car stereos were recently sold in a car audio store. 108 had a CD player, 120 had a cassette player, and 48 had both a CD and a cassette player. How many had a CD player only?

a) 12

b) 60

c) 70

d) 50

e) 67

433 students were surveyed about their preferences of sports. 117 students like football, 142 students like baseball, and 42 students like both sports. How many students like exactly one of the two sports?

a) 75

b) 117

c) 259

d) 100

e) 175

A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 197 like rock,153 like country, and 119 like jazz. Moreover, 19 like rock and country, 25 like rock and jazz, 21 like country and jazz, and 7 like all three types of music. How many students surveyed liked rock only? (Note: A Venn diagram may be useful here.)

a) 153

b) 197

c) 148

d) 146

e) 160

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 133 like Snickers, 172 like Twix, 178 like Reese's Peanut Butter Cups, 44 like Snickers and Twix, 107 like Twix and Reese's Peanut Butter Cups, 82 like Snickers and Reese's Peanut Butter Cups, and 38 like all three kinds of chocolate candy. How many students like at most 2 kinds of these chocolate candies?

a) 157

b) 250

c) 462

d) 119

e) 75

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 42 like Snickers, 110 like Twix, 124 like Reese's Peanut Butter Cups, 33 like Snickers and Twix, 62 like Twix and Reese's Peanut Butter Cups, 26 like Snickers and Reese's Peanut Butter Cups, and 22 like all three kinds of chocolate candy. How many students like Snickers, but not Twix or Reese's Peanut Butter Cups?

a) 42

b) 15

c) 20

d) 37

e) 5

(Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power steering. 4 cars had all three of these extras. 19 cars had none of these extras. 23 cars had only air conditioning, 61 cars had only automatic transmissions, and 28 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not power steering?

a) 37

b) 4

c) 7

d) 28

e) 24

Explanation / Answer

Given

Total number of students=395

No of students who like chocolate ice cream=175

No of students who like pistachio ice cream=125

and No of students who do not like chocolate or pistachio ice cream=170

Therefore Children like at least one kind of ice cream mentioned in the survey =

Total number of children - Number of children who do not like chocolate or pistachio ice cream =

395 - 170 = 225

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