1003055708
Level:
A
Let \( A = \{a; b; c; d; e; f\} \), \( B = \{a; g; b; h; i\} \). Determine the intersection \( A\cap B\).
\( \{a; b\} \)
\( \{a; b; c; d; e; f; g; h; i\} \)
\( \{ g; h; i\} \)
\( \{c; d; e; f\} \)
Logic and sets
1003055707
Level:
A
Let \( A = \{a; b; c; d; e; f\} \), \( B = \{a; k; b; l\} \). Find the union \( A\cup B \).
\( \{a; b; c; d; e; f; k; l\} \)
\( \{a; b\} \)
\( \{ c; d; e; f\} \)
\( \{k; l\} \)
1003055706
Level:
A
Given the sets
\begin{gather*} A = \{ 3; 4; 5; 6; 7; 8\},\\ B = \{3; 4; 5; 6; 7\},\\ C = \{6; 7; 8; 9; 10;11\}, \end{gather*}
find the intersection \( A\cap B\cap C \).
\( \{ 6; 7\} \)
\( \{3; 4; 5; 6; 7; 8; 9; 10; 11\} \)
\( \{3; 4; 5; 6; 7\} \)
\( \{9; 10; 11\} \)
1003055705
Level:
A
Given the sets
\begin{gather*} A = \{1; 2; 3; 4; 5; 6; 7; 8; 9\},\\ B = \{3; 4; 5; 6; 7\},\\ C = \{6; 7; 8; 9; 10; 11; 12\}, \end{gather*}
find the union \( A\cup B\cup C \).
\( \{1; 2; 3; 4; 5; 6; 7; 8; 9;10; 11; 12\} \)
\( \{1; 2; 3; 4; 5; 6; 7; 8; 9\} \)
\( \{6; 7\} \)
\( \{1; 2; 10; 11; 12\} \)
1003055704
Level:
A
Find the interval that is the difference of sets \( A \) and \( B \) if \( A = [ -8; 12] \) and \( B = (0; 20) \).
\( [-8;0] \)
\( (-8;0) \)
\( [-8;0) \)
\( (-8;0] \)
1103055703
Level:
A
The diagram shows the sets \( A \) and \( B \). Find the union \( A\cup B \).
\( [ -3;4 ] \)
\( ( -3;4 ) \)
\( [ -1;2 ] \)
\( ( -1;2 ) \)
1003055702
Level:
A
The set of all numbers that satisfy the following relations
\[ (x \geq -1) \wedge (x > -2) \wedge (x < 3) \]
can be written as:
\( [ -1;3 ) \)
\( \mathbb{R} \)
\( [ -2;3) \)
\( (-2;-1] \)
1103055701
Level:
B
Which diagram represents the interval that is the set of all solutions of the inequality \( -4 < x+1< 4 \).
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?
\(11\)
\(7\)
\(3\)