The numbers 1, 2, 3, .....n are written in the natural order. Numbers in odd places are struck off to form a new sequence. This process is continued till only one number is left.
Q 1: If n = 1997, the number left is?
Q 2: If the number left is 512, the maximum possible value of n is  Choose the correct answer.
A) 1023 B) 3667 C) 267 D) 288 E) 66
The given sequence is 1, 2, 3, ....n   After step 1, we have 2, 4, 6, 8, ......   After step 2, we have 4, 8, 12, 16, ....   After step 3, we have 8, 16, 24, 32, ......   After the last step (m th step) we have the highest power of 2m ≤ n.   1. If n = 1997, after step 10, we are left with only 1024 (as 210 ≤ 1997)   2. If the last number left is 512, the maximum possible value of n is 1023.   1023nswer:1023
<result>A</result>
The numbers 1, 2, 3, .....n are written in the natural order. Numbers in odd places are struck off to form a new sequence. This process is continued till only one number is left.
Q 1: If n = 1997, the number left is?
Q 2: If the number left is 512, the maximum possible value of n is