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.
45th decimal value of
[#permalink]
01 Apr 2025, 15:34
01 Apr 2025, 15:34
Expert Reply
1
Bookmarks
00:00
Question Stats:
55% (01:38) correct
44% (01:17) wrong based on 9 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
45th decimal value of \(\frac{3}{7}\) |
Ten millionth decimal value of of \(\frac{3}{7 }\) |
- Part of the project: GRE - Skill Builder Project II Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: 45th decimal value of
[#permalink]
05 Apr 2025, 04:15
05 Apr 2025, 04:15
Expert Reply
The quotient, when 3 is divided by 7 , is $\(0 . \overline{428571}\)$.
Here, the digits repeat after every $\(6^{\text {th \)$ decimal place.
Therefore, the $\(45^{\text {th \)$ decimal is 8 (Since, $\(45=6 \times 7+3\)$ ).
Therefore, Column $\(\mathrm{A}=8\)$. The 10 millionth decimal is $\(5\)($ Since, $\(10000000=6 \times 1666666+4)\)$.
Therefore, Column B=5.
Hence, Column A > Column B.
Thus, the correct answer is $\(A\)$.
Here, the digits repeat after every $\(6^{\text {th \)$ decimal place.
Therefore, the $\(45^{\text {th \)$ decimal is 8 (Since, $\(45=6 \times 7+3\)$ ).
Therefore, Column $\(\mathrm{A}=8\)$. The 10 millionth decimal is $\(5\)($ Since, $\(10000000=6 \times 1666666+4)\)$.
Therefore, Column B=5.
Hence, Column A > Column B.
Thus, the correct answer is $\(A\)$.
gmatclubot
Re: 45th decimal value of [#permalink]
05 Apr 2025, 04:15
Moderators:
