turkey-yks 2019 Q5

turkey-yks · Other · yks-ayt Sequences and Series Recurrence Relations and Sequence Properties
The following steps are applied to the number 123 in sequence to change the positions of its digits, and a three-digit number is obtained at each step.
  1. In step 1, a number is obtained by switching the positions of the digits in the tens and hundreds places.
  2. In step 2, a number is obtained by switching the positions of the digits in the ones and tens places of the number obtained in the previous step.

Continuing in this way, if the step number is odd, numbers are obtained by switching the positions of the digits in the tens and hundreds places of the number obtained in the previous step, and if the step number is even, by switching the positions of the digits in the ones and tens places of the number obtained in the previous step. Accordingly, which of the following is the number obtained after step 75?
A) 321
B) 312
C) 231
D) 213
E) 132 
The following steps are applied to the number 123 in sequence to change the positions of its digits, and a three-digit number is obtained at each step.

\begin{enumerate}
  \item In step 1, a number is obtained by switching the positions of the digits in the tens and hundreds places.
  \item In step 2, a number is obtained by switching the positions of the digits in the ones and tens places of the number obtained in the previous step.
\end{enumerate}

Continuing in this way, if the step number is odd, numbers are obtained by switching the positions of the digits in the tens and hundreds places of the number obtained in the previous step, and if the step number is even, by switching the positions of the digits in the ones and tens places of the number obtained in the previous step.\\
Accordingly, which of the following is the number obtained after step 75?\\
A) 321\\
B) 312\\
C) 231\\
D) 213\\
E) 132
Paper Questions
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