Blue Book Question

Test Preparation SAT Preparation
1

<p>I have a question from the blue book and was hoping one of you great CCers could help me figure out this sort of problem.</p>

<p>5.101001000100001</p>

<p>The decimal number above consists of only 1s and 0s to the right of the decimal point. The first 1 is followed by one 0, the second 1 is followed by two 0s, the third 1 is followed by thee 0s, and so on. What is the total number of 0s between the 98th and the 101st 1 in this decimal number?</p>

<p>a) 288
b) 291
c) 294
d) 297
e) 300</p>

<p>Thanks guys!</p>

2

<p>I’m pretty sure it’s C, 297.</p>

<p>Because you have 1 less zero than what number your 1 is… so after the 98th one, you get 98, 99, 100 zeros in between, which equals 297?</p>

3

<p>It is 297. Could you explain to me how you got there, again?</p>

4

<p>Bump 10char</p>

5

<p>What problem number, section number, and test number is this question from?</p>

6

<p>if you look at the pattern you will see that 1 zero follows the first “1”. 2 zeros follow the second “1”. 3 zeros follow the third “1”. Knowing the pattern continues like this, we can conclude that 98 zeros will follow the 98th “1”. 99 will follow 99th “1”. 100 will follow 100th “1”.</p>

<p>98+99+100 = 297</p>