9000084903
Level:
B
In the following list find the set which contains only prime numbers.
\(13,\ 131\)
\(1,\ 31,\ 211\)
\(289,\ 291\)
\(17,\ 169\)
\(51,\ 97\)
B
9000084906
Level:
B
In the following list find the number such that the prime factorization of this
number contains exactly one cube power.
\(24\)
\(12\)
\(63\)
\(196\)
\(420\)
9000084904
Level:
B
From the following list find the number which has just three proper divisors.
\(49\)
\(21\)
\(75\)
\(100\)
\(250\)
9000083607
Level:
B
Assuming \(x\neq 0\),
\(x\neq \pm 1\),
\(y\neq 0\),
simplify the expression.
\[
\left [\left ( \frac{x}
{x + 1}\right )^{2} : \left (\frac{x - 1}
{y} \right )^{2}\right ] : \frac{2xy}
{x^{2} - 1}
\]
\(\frac{xy}
{2\left (x^{2}-1\right )}\)
\(4\)
\(\frac{x^{2}-1}
{4} \)
\(\frac{x-1}
{4} \)
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 \(A\cup B\).
\(\mathbb{N}\)
\(\emptyset \)
\(\{x\in \mathbb{Z};x > 8\}\)
\(\mathbb{Z}\)