Brilliant is too famous. Isn't it? (fixed)

Algebra Level 2

A device named $BRILLIANTOMETER$ is launched which records the number of problems posted on Brilliant every second.IMAGINE that these problems were stored in a disc which had a limited capacity.

This was the data recorded by the brilliantometer -

In $1^{st}$ second - Total $1$ problem posted.

Till $2^{nd}$ second ends- Total $2$ problems posted.

Till $3^{rd}$ second ends- Total $4$ problems posted.

Till $4^{th}$ second ends- Total $8$ problems posted.

Till $5^{th}$ second ends- Total $16$ problems posted , and so on .........

If in 1 hour the disc was full and no more problems can be posted now , when was the disc half full? Express your answers in seconds.

I am extremely sorry for the inconvenience I caused to the people who solved this last time. I am re-posting this again.I am extremely sorry.

The answer is 3599.

1 solution

Nihar Mahajan
Feb 12, 2015

$1$ hour = $3600$ seconds

So , when $3600$ seconds pass , the disc is full. So the disc was half full 1 second before it became full. So the disc was full as the $3599$ seconds pass.

I am extremely sorry for the inconvenience.

Slap! I am an idiot:) I put $59$ , because I read the problem too quickly and thought that every minute the amount of problems doubles.

A Former Brilliant Member - 6 years ago

Me too. Let's blame Nihar. Ed Gray

Edwin Gray - 2 years, 4 months ago

Brilliant is too famous. Isn't it? (fixed)

The answer is 3599.

1 solution

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