9000076010
Level:
B
In the following list identify a set of the numbers where
any number has exactly three divisors (including the number
\(1\) and
itself).
\(4,\ 25,\ 289\)
\(1,\ 2,\ 3\)
\(25,\ 36,\ 49\)
\(1,\ 17,\ 289\)
\(25,\ 36,\ 121\)
B
9000079202
Level:
B
Find the set \(M\)
of all the real \(x\)
for which the following expression is not a well defined number.
\[
\frac{x - 4}
{x^{3} - 16x}
\]
\(M = \{ - 4;0;4\}\)
\(M = \{ - 4;4\}\)
\(M = \{0;4\}\)
\(M = \{0\}\)
9000078507
Level:
B
Assuming \(x\in \left (-\frac{1}
{2};6\right )\),
simplify the following expression.
\[
3 -|6 - x| + |2x + 1|
\]
\(3x - 2\)
\(x - 2\)
\(3x + 10\)
\(x + 8\)
9000078505
Level:
B
Assuming \(x\in (0;\infty )\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(0\)
\(2x\)
\(3x\)
\(4x\)
9000078902
Level:
B
If we decrease an unknown number \(x\)
by \(14\, \%\), we
get \(602\).
Find \(x\).
\(700\)
\(686.28\)
\(517.72\)
\(680\)
9000080902
Level:
B
Given the sets \(A = \{x\in \mathbb{Z}:x\geq - 2\}\)
and \(B = \{x\in \mathbb{N}: x\leq 5\}\) find the intersection \(A \cap B\).
\(\{1;2;3;4;5\}\)
\(\{0;1;2;3;4;5\}\)
\(\{0;1;2;3;4\}\)
\(\{ - 2;-1;0;1;2;3;4;5\}\)
9000078903
Level:
B
The number \(234\)
is by \(20\, \%\) bigger
than \(x\).
Find \(x\).
\(195\)
\(187.2\)
\(280.8\)
\(205\)
9000080904
Level:
B
Given the sets \(A =\mathbb{N}\)
and \(B = \{x\in \mathbb{Z}\colon x > 8\}\),
find the union \(A\cup B\).
\(\mathbb{N}\)
\(\emptyset \)
\(\{x\in \mathbb{Z};x > 8\}\)
\(\mathbb{Z}\)
9000078904
Level:
B
The number \(87.5\)
is a \(35\, \%\) from an
unknown number \(x\).
Find \(x\).
\(250\)
\(240\)
\(260\)
\(270\)
9000078510
Level:
B
Assuming \(x\in (6;11)\),
simplify the following expression.
\[
3|x - 11|- 2|6 - x|
\]
\(- 5x + 45\)
\(5x - 45\)
\(x - 45\)
\(x - 21\)