Logic and sets

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

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

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

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