TEST 13
1.
\(\left.\begin{aligned}x+y=5\\y+z=11\\x+z=8\end{aligned}\right\}\)
\(\Rightarrow x\cdot y\cdot z=?\)
A) \(18\)B) \(20\)C) \(24\)D) \(28\)E) \(30\)
2.
\(\left.\begin{aligned}x-y=7\\y+z=4\\x-z=5\end{aligned}\right\}\)
\(\Rightarrow x+y+z=?\)
A) \(8\)B) \(9\)C) \(10\)D) \(11\)E) \(12\)
3.
\(\left.\begin{aligned}2x-y=15\\2x+3z=12\\z+5y=-3\end{aligned}\right\}\)
\(\Rightarrow x+y+z=?\)
A) \(7\)B) \(6\)C) \(5\)D) \(2\)E) \(1\)
4.
\(x,y,z\in\mathbb R^+\)
\(\left.\begin{aligned}x\cdot y=12\\y\cdot z=14\\x\cdot z=42\end{aligned}\right\}\)
\(\Rightarrow x=?\)
A) \(2\)B) \(4\)C) \(6\)D) \(7\)E) \(12\)
5.
\(x,y,z\in\mathbb R^-\)
\(\left.\begin{aligned}x\cdot y=32\\y\cdot z=48\\x\cdot z=24\end{aligned}\right\}\)
\(\Rightarrow z=?\)
A) \(6\)B) \(4\)C) \(-1\)D) \(-2\)E) \(-6\)
6.
\(x,y,z\in\mathbb Z^-\)
\(\left.\begin{aligned}x\cdot z=21\\x\cdot y=14\\z\cdot y=6\end{aligned}\right\}\)
\(\Rightarrow x=?\)
A) \(-7\)B) \(-3\)C) \(-2\)D) \(3\)E) \(7\)
7.
\(x,y,z\in\mathbb Z\)
\(z>x>y\)
\(\left.\begin{aligned}x\cdot y=12\\y\cdot z=-8\\x\cdot z=-6\end{aligned}\right\}\)
\(\Rightarrow x+y+z=?\)
A) \(-19\)B) \(-5\)C) \(1\)D) \(5\)E) \(19\)
8.
\(3a+4b+c=20\)
\(5a+4b+7c=36\)
\(\Rightarrow a+b+c=?\)
A) \(5\)B) \(6\)C) \(7\)D) \(8\)E) \(10\)