The first number Haruka entered is 1 .
From Rule-1, the series will be
2,4,8,16From Rule 2, 16 will be followed by 7
Like-wise, the series will be
1,2,4,8,16,7,14,5,10,1,2,4, . . . . . ..
The series is repeating itself for every 9 iterations.
Initially, input is 1 and after first iteration, result is 2.
This implies,
9 n=19 n+1=29 n+2=4 .
.
.
.
.
9 n+7=59 n+8=10In the question, it is given that key is pressed 68 times.
68=9(7)+568 is in the form of
9 n+5This implies, 7 is the output.
The answer is option A.