Logic and sets

1003034402

Level: 
C
In a class of \( 31 \) pupils, \( 18 \) pupils learn Italian, \( 16 \) pupils learn Spanish and \( 12 \) pupils learn Portuguese. Now, \( 7 \) pupils learn Italian and Spanish, \( 9 \) pupils learn Italian and Portuguese and \( 5 \) pupils learn Spanish and Portuguese. Finally, \( 3 \) students do not learn any of these three languages. How many pupils learn all these languages?
\( 3 \)
\( 5 \)
\( 2 \)
\( 1 \)

1003034403

Level: 
C
In a group of \( 100 \) people, \( 60 \) people like swimming, \( 50 \) people like horse-riding, \( 36 \) people like cycling. Further, \( 16 \) people like swimming and horse riding, \( 19 \) people like swimming and cycling, \( 15 \) people like horse-riding and cycling. How many people in the group enjoy only one of these activities?
\( 58 \)
\( 29 \)
\( 23 \)
\( 6 \)

2010001406

Level: 
C
All \(96\) children in the summer camp were to choose the chocolate champion - between milk chocolate and dark chocolate. At the end milk chocolate got \(30\) more votes than dark chocolate. \(26\) children couldn’t decide though and gave their votes to both chocolates. How many votes did dark chocolate get?
\(46\)
\( 76\)
\( 26\)
\( 82\)

9000089001

Level: 
C
Students from a class have a possibility to work in mathematical and physical hobby groups. There are \(31\) students in the class. From the total, \(21\) students are members of mathematical group. Some of the students are members of both groups, but there are \(10\) which are members of just one group. There are \(3\) students which are not members of any of those groups. How many students are members of both mathematical and physical groups?
\(18\)
\(16\)
\(19\)

9000089002

Level: 
C
Students from a class decided to order books for forthcoming holiday. The book-shop in the neighborhood had two bestsellers on the stock: a crime novel and a horror stories. There were \(31\) students in the class in total. From this total, \(22\) students bought horror stories. Altogether \(12\) students bought just one of the books. Two students did not buy any of these books. How many students bought the crime novel?
\(24\)
\(7\)
\(5\)

9000089003

Level: 
C
Students from a class bought a snack in the school lunch-room. There were \(31\) students in the class in total. Altogether \(8\) students had snack from their home and they did not buy anything. Altogether \(12\) students bought hamburger and \(15\) students bought hot-dog. How many students bought both hamburger and hot-dog?
\(4\)
\(19\)
\(8\)

9000089004

Level: 
C
Students in a university are allowed to buy either lunch or dinner in a student's canteen. There are \(129\) freshmen students in total. Altogether \(116\) freshmen students buy the lunch or dinner. From this amount, \(62\) students buy just one meal. The number of freshmen students which buy lunch is bigger by \(46\) than the number of freshmen students which buy dinner. How many freshmen students buy only the dinner?
\(8\)
\(54\)
\(62\)

9000089005

Level: 
C
There are two types of cheese in a shop. Altogether \(153\) customer were in the shop during a day. From this total, \(65\) customers bought the first cheese. From the same total, \(49\) customers bought the second cheese. \(20\%\) of customers which bought at least one of the types of cheese bought actually both types. How many customers did not buy any of these two cheeses?
\(58\)
\(39\)
\(19\)

9000089006

Level: 
C
A questionnaire on popular singers has been filled by \(200\) girls from a high-school. The girls had to mark the singers from three most popular (Justin Timberlake, Justin Bieber and Axl Rose) which they like. Justin Timberlake got \(78\) votes, Justin Bieber got \(75\) votes and Axl Rose \(101\) votes. There were \(28\) girls which voted for all three singers. There were \(22\) girls which voted for two singers. One half of this amount are fans of the pair Bieber and Rose. The number of the girls which like only Justin Bieber is smaller by \(7\) comparing to the number of girls which like only Justin Timberlake. How many girls did not like any of these three singers?
\(24\)
\(32\)
\(11\)

9000089007

Level: 
C
A class in the school has \(35\) students. On the last holiday the students visited Slovakia, Croatia and Bulgaria. From the total amount of \(35\), \(7\) students have been in Slovakia, \(7\) students have been in Croatia, \(5\) students have been in Bulgaria, \(21\) students have not been abroad, one student was in every of these countries, two students have been in both Bulgaria and Croatia but not in Slovakia, one student has been in both Bulgaria and Slovakia but not in Croatia. How many students visited either Slovakia or Croatia?
\(11\)
\(7\)
\(3\)