Logic and sets

9000148906

Level: 
A
Each candidate in a tender is fluent in at least one out of two required languages (English and French). There are 20 candidates fluent in English and 14 candidates fluent in French. From these amounts 10 candidates are fluent in both languages. How many candidates are there in the tender?
24
34
14
44

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

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