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.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
For which of the following integers, n, is the number 60n eq
[#permalink]
02 Dec 2020, 09:39
02 Dec 2020, 09:39
1
Expert Reply
6
Bookmarks
00:00
Question Stats:
69% (01:22) correct
31% (01:35) wrong based on 100 sessions
Hide Show timer Statistics
For which of the following integers, \(n\), is the number \(60n\) equal to the square of another integer?
Indicate all such values of \(n\).
A. \(2^{28}\)
B. \(2^9 \times 3^5\)
C. \(3^3 \times 5^5\)
D. \(2^{10} \times 3^9 \times 5^8\)
E. \(3 \times 5 \times 7^{28}\)
Kudos for the right answer and explanation
Indicate all such values of \(n\).
A. \(2^{28}\)
B. \(2^9 \times 3^5\)
C. \(3^3 \times 5^5\)
D. \(2^{10} \times 3^9 \times 5^8\)
E. \(3 \times 5 \times 7^{28}\)
Kudos for the right answer and explanation
Re: For which of the following integers, n, is the number 60n eq
[#permalink]
18 Dec 2020, 02:43
18 Dec 2020, 02:43
1
Answer : C , E
Here you can plug in the options to get the square. 60n = 2^2*3*5*n
Now we will need 'n' so that all bases have even power.
By using C we will get 2^2*3*5 x 3^3*5^5 = 2^2*3^4*5^6 = (2*9*125)^2
By using E we will get 2^2*3*5 x 3*5*7^28 = 2^2*3^*5^2*7^28 = (2*3*5*7^14)^2
Here you can plug in the options to get the square. 60n = 2^2*3*5*n
Now we will need 'n' so that all bases have even power.
By using C we will get 2^2*3*5 x 3^3*5^5 = 2^2*3^4*5^6 = (2*9*125)^2
By using E we will get 2^2*3*5 x 3*5*7^28 = 2^2*3^*5^2*7^28 = (2*3*5*7^14)^2
Re: For which of the following integers, n, is the number 60n eq
[#permalink]
11 Sep 2024, 23:13
11 Sep 2024, 23:13
Can someone explain this problem
