9000080907
Level:
B
Find \(B'_{A}\) (the
complement to \(B\)
in \(A\))
for \(A =\mathbb{Z}\)
and \(B = \{x\in \mathbb{Z};\left |x\right | > 3\}\).
\(\{ - 3;-2;-1;0;1;2;3\}\)
\(\{ - 2;-1;0;1;2\}\)
\(\{0;1;2;3\}\)
\(\{1;2;3\}\)
B
9000085306
Level:
B
The ski has been sold for a reduced price in a sale after the season. The discount
\(18\, \%\)
of the original price resumed in a price which was cheaper by
\(\$36\). Find
the original price of the ski.
\(\$200\)
\(\$250\)
\(\$450\)
\(\$500\)
9000080908
Level:
B
Find the set difference \(A\setminus B\)
for \(A = \{ - 2;-1;0;1;2\}\)
and \(B = \{x\in \mathbb{Z};x < 2\}\).
\(\{2\}\)
\(\{ - 2;-1;0;1;2\}\)
\(\{0;1\}\)
\(\emptyset \)
9000083601
Level:
B
Find the conditions on \(x\)
under which the expression
\[
\frac{\frac{x-y}
{x+y} -\frac{x+y}
{x-y}}
{ \frac{xy}
{x^{2}-y^{2}} }
\]
is well-defined.
\(x\neq 0,\; y\neq 0,\; x\neq \pm y\)
\(x\neq - y\)
\(x\neq \pm y\)
\(x\neq 0,\; y\neq 0\)
9000080905
Level:
B
Identify the set \(B\)
which satisfies
\[
A\cup B = C
\]
if \(A = \{x\in \mathbb{N};x < 3\}\) and
\(C = \{0;1;2\}\).
\(\{0;1;2\},\ \{0;1\},\ \{0;2\},\ \{0\}\)
no solution exist
\(\emptyset \)
\(\{0;1;2\},\ \{0;1\},\ \{1;2\},\ \{0;2\}\)
9000076006
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(578\).
\(17,\ 34,\ 289\)
\(1,\ 2,\ 4\)
\(13,\ 15,\ 17\)
\(1,\ 13,\ 289\)
\(2,\ 35,\ 578\)
9000080906
Level:
B
Find \(B'_{A}\) (the
complement to \(B\)
in \(A\))
for \(A = \{x\in \mathbb{N};x < 9\}\)
and \(B = \{4;5;6;7\}\).
\(\{1;2;3;8\}\)
\(\emptyset \)
\(\{4;5;6;7\}\)
\(\{0;1;2;3;8\}\)
9000076007
Level:
B
Complete the statement. „The sum of any three consecutive integers ...”
is divisible by \(3\).
is not divisible by \(6\).
is divisible by \(6\).
is not divisible by \(3\).
is divisible by \(9\).
9000078506
Level:
B
Assuming \(x\in (-\infty ;0)\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(6x\)
\(4x\)
\(2x\)
\(0\)
9000076008
Level:
B
Complete the statement. „The sum of any five consecutive integers ...”
is divisible by \(5\).
is divisible by \(3\).
is divisible by \(4\).
is divisible by \(6\).
is divisible by \(10\).