C

9000089004

Level: 
C
Students in a university are allowed to buy either lunch or dinner in a student's canteen. There are \(129\) freshmen students in total. Altogether \(116\) freshmen students buy the lunch or dinner. From this amount, \(62\) students buy just one meal. The number of freshmen students which buy lunch is bigger by \(46\) than the number of freshmen students which buy dinner. How many freshmen students buy only the dinner?
\(8\)
\(54\)
\(62\)

9000089002

Level: 
C
Students from a class decided to order books for forthcoming holiday. The book-shop in the neighborhood had two bestsellers on the stock: a crime novel and a horror stories. There were \(31\) students in the class in total. From this total, \(22\) students bought horror stories. Altogether \(12\) students bought just one of the books. Two students did not buy any of these books. How many students bought the crime novel?
\(24\)
\(7\)
\(5\)

9000089005

Level: 
C
There are two types of cheese in a shop. Altogether \(153\) customer were in the shop during a day. From this total, \(65\) customers bought the first cheese. From the same total, \(49\) customers bought the second cheese. \(20\%\) of customers which bought at least one of the types of cheese bought actually both types. How many customers did not buy any of these two cheeses?
\(58\)
\(39\)
\(19\)

9000089007

Level: 
C
A class in the school has \(35\) students. On the last holiday the students visited Slovakia, Croatia and Bulgaria. From the total amount of \(35\), \(7\) students have been in Slovakia, \(7\) students have been in Croatia, \(5\) students have been in Bulgaria, \(21\) students have not been abroad, one student was in every of these countries, two students have been in both Bulgaria and Croatia but not in Slovakia, one student has been in both Bulgaria and Slovakia but not in Croatia. How many students visited either Slovakia or Croatia?
\(11\)
\(7\)
\(3\)

9000089003

Level: 
C
Students from a class bought a snack in the school lunch-room. There were \(31\) students in the class in total. Altogether \(8\) students had snack from their home and they did not buy anything. Altogether \(12\) students bought hamburger and \(15\) students bought hot-dog. How many students bought both hamburger and hot-dog?
\(4\)
\(19\)
\(8\)

9000090906

Level: 
C
Given lines \(p\) and \(q\), find \(m\in \mathbb{R}\) such that the lines \(p\) and \(q\) are parallel. \[ \begin{aligned}p\colon x& = 1 + t, & \\y & = -3t;\ t\in \mathbb{R}, \\ \end{aligned}\qquad \begin{aligned}q\colon x& = 3 - 2u, & \\y & = 1 + mu;\ u\in \mathbb{R} \\ \end{aligned} \]
\(m = 6\)
\(m = \frac{3} {2}\)
\(m = -\frac{2} {3}\)
does not exist

9000090907

Level: 
C
Given points \(A = [2;m]\) and \(B = [-1;0]\), find \(m\in \mathbb{R}\) such that the line \(p\) is parallel to the line passes through the points \(A\), \(B\). \[ \begin{aligned}p\colon x& = 3 + 2t, & \\y & = 5 - t;\ t\in \mathbb{R} \\ \end{aligned} \]
\(m = -\frac{3} {2}\)
\(m = \frac{3} {2}\)
\(m = -\frac{2} {3}\)
\(m = 2\)
does not exist

9000090908

Level: 
C
Given points \(A = [2;1]\) and \(B = [m;0]\), find \(m\in \mathbb{R}\) such that the line \(p\) is parallel to the line passes through the points \(A\), \(B\). \[ p\colon 3x - y + 17 = 0 \]
\(m = \frac{5} {3}\)
\(m = 4\)
\(m = \frac{5} {2}\)
\(m = -1\)
another solution

9000090909

Level: 
C
Given lines \(p\) and \(q\), find \(m\in \mathbb{R}\) such that the lines \(p\) and \(q\) are parallel. \[ p\colon 2x+my-3 = 0,\qquad \begin{aligned}[t] q\colon x& = 1 + t, & \\y & = 2 - t;\ t\in \mathbb{R} \\ \end{aligned} \]
\(m = 2\)
\(m = -2\)
\(m = 11\)
\(m = -\frac{1} {11}\)
does not exist