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.
Which of the following expressions are factors of 12^17
[#permalink]
16 May 2018, 03:03
16 May 2018, 03:03
3
2
Bookmarks
00:00
Question Stats:
63% (01:18) correct
36% (01:14) wrong based on 63 sessions
Hide Show timer Statistics
Which of the following expressions are factors of \(12^{17}\)?
A. \((-2)^2\)\((-3)^4\)
B. \(12^3 + 12^3\)
C. \(4^{18}\)
D. \((2^{16})(3^{15})\)
E. \((3^{17})(4^{17})\)
F. \(12^{17} + 12^{17}\)
A. \((-2)^2\)\((-3)^4\)
B. \(12^3 + 12^3\)
C. \(4^{18}\)
D. \((2^{16})(3^{15})\)
E. \((3^{17})(4^{17})\)
F. \(12^{17} + 12^{17}\)
ShowHide Answer
Official Answer
A,B,D,E
Re: Which of the following expressions are factors of 12^17
[#permalink]
24 May 2018, 09:59
24 May 2018, 09:59
1
A B D E all are having factor either equal or less than 4^17 * 3^17
In C, 4^18 is given, which is more than 4^17. Hence it cannot be factor. Same with option E. 12^17 + 12^17 = 2(12^17). Here 2 is additional. Hence it also cannot be factor.
In C, 4^18 is given, which is more than 4^17. Hence it cannot be factor. Same with option E. 12^17 + 12^17 = 2(12^17). Here 2 is additional. Hence it also cannot be factor.
Re: Which of the following expressions are factors of 12^17
[#permalink]
16 Nov 2018, 14:12
16 Nov 2018, 14:12
1
Answers: A,B,D,E
12^17 = (3 * 4)^17 = 3^17 * (4)^17 = 3^17 * (2^2)^17 (2 can be -2 also and we can have even numbers of -3 as well)
So A can be true.
B : Here we should change it in multiplication form, it equals 2*12^13 which is a factor of 12^17
C is not true because the maximum power for 4 is 17
D can be true
E is true
F is not true. Here we should change it in multiplication form, which it will be 12^17+12^17 = 2^12^17 which is not a factor of 12^17
12^17 = (3 * 4)^17 = 3^17 * (4)^17 = 3^17 * (2^2)^17 (2 can be -2 also and we can have even numbers of -3 as well)
So A can be true.
B : Here we should change it in multiplication form, it equals 2*12^13 which is a factor of 12^17
C is not true because the maximum power for 4 is 17
D can be true
E is true
F is not true. Here we should change it in multiplication form, which it will be 12^17+12^17 = 2^12^17 which is not a factor of 12^17
