2000002904
Level:
B
Determine the largest integer that is the solution of the inequality:
\[
-1.2x > -1.44
\]
\( 1\)
\( 2 \)
\( 0 \)
\( -1\)
Linear Equations and Inequalities
2000002903
Level:
B
Determine the largest integer that is the solution of the inequality:
\[
-0.16x > 6.4
\]
\( -41\)
\( -39 \)
\( -40\)
\( -42\)
2000002902
Level:
B
Determine the smallest integer that is the solution of the inequality:
\[
-5.2x < 1.3\]
\( 0\)
\( -1\)
\( 4\)
\( 1\)
2000002901
Level:
B
Determine all the natural numbers that are solutions of the inequality:
\[
-\frac{x}{7} < \frac{5}{7}
\]
\( x \in \mathbb{N} \)
\( x \in \{0;1;2;3;4\} \)
\( x \in \{1;2;3;4\} \)
\( x \in \mathbb{N} \cup \{0;-1;-2;-3;-4\} \)
2000002305
Level:
A
Find a real number, so that when placed into the box, the given equation has the root \(x = 3\).
\[\frac{2}{3}x-5= \fbox{$\phantom{5}$}\cdot x-1 \]
\( -\frac{2}{3} \)
\( 6 \)
\( 2 \)
\( \frac{4}{3} \)
2000002304
Level:
A
Find a real number, so that when placed into the box, the given equation has the root \(x = 0\).
\[-3x+10= \fbox{$\phantom{5}$}\cdot x-6 \]
such a number does not exist
any real number
\( 16 \)
\( -4 \)
2000002303
Level:
A
Find a real number, so that when placed into the box, the given equation has the root \(x = 0\).
\[-3x+10= \fbox{$\phantom{5}$}+2x \]
\( 10 \)
\( 5 \)
\( -10 \)
\( 0 \)
2000002302
Level:
A
Find a real number, so that when placed into the box, the given equation has the root \(x = -2\).
\[-x+10= \fbox{$\phantom{5}$}\cdot x-6 \]
\( -9 \)
\( -8\)
\(2 \)
\( 9\)
2000002301
Level:
A
Find a real number, so that when placed into the box, the given equation has the root \(x = 2\).
\[-x+10= \fbox{$\phantom{5}$} \cdot x-6 \]
\( 7 \)
\( 8 \)
\( 2 \)
\( 6 \)
1003197408
Level:
C
The painter \( A \) takes \( 15 \) hours to paint a flat. The painter \( B \) takes \( 12 \) hours to paint the same flat and the painter \( C \) takes \( 10 \) hours to complete the same task. The painter \( A \) starts to paint alone and after \( 2 \) hours joins him the painter \( B \). After the next hour the painter \( C \) starts to paint with them too. How long will all three painters paint together before completing the work?
\( 2\,\mathrm{h}\ 52\,\mathrm{min} \)
\( 3\,\mathrm{h}\ 8\,\mathrm{min} \)
\( 3\,\mathrm{h}\ 24\,\mathrm{min} \)
\( 4\,\mathrm{h} \)