turkey-yks 2013 Q27

turkey-yks · Other · ygs Not Maths
A teacher conducted the following activity in class with four of her students named Ali, Banu, Can, and Do\u011fa.
  • These students each think of a number. Let these numbers be $\mathrm { A } , \mathrm { B } , \mathrm { C }$ and D respectively.
  • Each student writes their own number on a piece of paper and gives it to the teacher.
  • The teacher calculates the result of the following addition operations written on the board and fills in the right side of the equations.

$$\begin{aligned} & A + B = \\ & B + D = \\ & A + B + C = \end{aligned}$$
Based on what is written on the board, which students alone have sufficient information to find all four numbers A, B, C, and D?
A) Ali, Banu, and Do\u011fa
B) Ali, Can, and Do\u011fa
C) Ali and Banu
D) Banu and Can
E) Can and Do\u011fa 
A teacher conducted the following activity in class with four of her students named Ali, Banu, Can, and Do\u011fa.

\begin{itemize}
  \item These students each think of a number. Let these numbers be $\mathrm { A } , \mathrm { B } , \mathrm { C }$ and D respectively.
  \item Each student writes their own number on a piece of paper and gives it to the teacher.
  \item The teacher calculates the result of the following addition operations written on the board and fills in the right side of the equations.
\end{itemize}

$$\begin{aligned}
& A + B = \\
& B + D = \\
& A + B + C =
\end{aligned}$$

Based on what is written on the board, which students alone have sufficient information to find all four numbers A, B, C, and D?\\
A) Ali, Banu, and Do\u011fa\\
B) Ali, Can, and Do\u011fa\\
C) Ali and Banu\\
D) Banu and Can\\
E) Can and Do\u011fa
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