GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Whiz Representative
Joined: 25 May 2022
Posts: 25
Given Kudos: 1
The sum of all the digits of 1/(5^5 * 2^9) when it is written in
[#permalink]
Updated on: 06 Sep 2022, 04:05
Updated on: 06 Sep 2022, 04:05
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
78% (01:07) correct
21% (01:16) wrong based on 19 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The sum of all the digits of \(\frac{1}{(5^5 × 2^9)}\) when it is written in decimal format |
The sum of all the digits of \(\frac{1}{(5^6 ×2^{10})}\) when it is written in decimal format |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Source: GREWhiz
Originally posted by SaquibHGREWhiz on 29 Aug 2022, 05:36.
Last edited by SaquibHGREWhiz on 06 Sep 2022, 04:05, edited 2 times in total.
Last edited by SaquibHGREWhiz on 06 Sep 2022, 04:05, edited 2 times in total.
Re: The sum of all the digits of 1/(5^5 * 2^9) when it is written in
[#permalink]
29 Aug 2022, 05:53
29 Aug 2022, 05:53
1
Expert Reply
1
Bookmarks
Hi
Please when a QCQ question is posted follow the way to format it. It is quite easy here
https://gre.myprepclub.com/forum/how-to-po ... tml#p31620
Just put the two quantities inside the tag [quantity]
Put it in simple terms: When you are going to create a new Quantitative Comparison Question you only need two set up the two quantities to push the tag button.
Insert your values INSIDE the parenthesis
screenshot.819.jpg [ 87.32 KiB | Viewed 1156 times ]
Add always the answer choices
Ask if you need further assistance
carcass
Please when a QCQ question is posted follow the way to format it. It is quite easy here
https://gre.myprepclub.com/forum/how-to-po ... tml#p31620
Just put the two quantities inside the tag [quantity]
Put it in simple terms: When you are going to create a new Quantitative Comparison Question you only need two set up the two quantities to push the tag button.
Insert your values INSIDE the parenthesis
Attachment:
screenshot.819.jpg [ 87.32 KiB | Viewed 1156 times ]
Quote:
[quantity]( quantity A goes here )( quantity B goes here)[/quantity]
Add always the answer choices
Ask if you need further assistance
carcass
GRE Whiz Representative
Joined: 25 May 2022
Posts: 25
Given Kudos: 1
Re: The sum of all the digits of 1/(5^5 * 2^9) when it is written in
[#permalink]
Updated on: 06 Sep 2022, 03:00
Updated on: 06 Sep 2022, 03:00
1
Expert Reply
Solution:
Quantity A:
We have \(\frac{1}{5^5\times 2^9}\)
\(⇒\frac{1}{5^5\times 2^5\times 2^4}\)
\(⇒\frac{1}{5^5\times 2^5}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^5}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^5}\times 0.0625\)
\(⇒0.000...625\) (0 as a digit doesn't matter because we are talking about sum here)
Quantity B:
We have \(\frac{1}{5^6\times 2^{10}}\)
\(⇒\frac{1}{5^6\times 2^6\times 2^4}\)
\(⇒\frac{1}{5^6\times 2^6}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^6}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^6}\times 0.0625\)
\(⇒0.000...625\) (0 as a digit doesn't matter because we are talking about sum here)
We see that we have the same non-zero digits in both \(\frac{1}{5^5\times 2^9}\) and \(\frac{1}{5^6\times 2^{10}}\)
Hence the right answer is Option C
Quantity A:
We have \(\frac{1}{5^5\times 2^9}\)
\(⇒\frac{1}{5^5\times 2^5\times 2^4}\)
\(⇒\frac{1}{5^5\times 2^5}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^5}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^5}\times 0.0625\)
\(⇒0.000...625\) (0 as a digit doesn't matter because we are talking about sum here)
Quantity B:
We have \(\frac{1}{5^6\times 2^{10}}\)
\(⇒\frac{1}{5^6\times 2^6\times 2^4}\)
\(⇒\frac{1}{5^6\times 2^6}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^6}\times \frac{1}{2^4}\)
\(⇒\frac{1}{10^6}\times 0.0625\)
\(⇒0.000...625\) (0 as a digit doesn't matter because we are talking about sum here)
We see that we have the same non-zero digits in both \(\frac{1}{5^5\times 2^9}\) and \(\frac{1}{5^6\times 2^{10}}\)
Hence the right answer is Option C
Originally posted by SaquibHGREWhiz on 29 Aug 2022, 12:08.
Last edited by SaquibHGREWhiz on 06 Sep 2022, 03:00, edited 2 times in total.
Last edited by SaquibHGREWhiz on 06 Sep 2022, 03:00, edited 2 times in total.
