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.
A function * is defined for all even positive integers n as
[#permalink]
18 Apr 2018, 12:11
18 Apr 2018, 12:11
Expert Reply
00:00
Question Stats:
85% (01:25) correct
14% (00:45) wrong based on 42 sessions
Hide Show timer Statistics
A function \(*\) is defined for all even positive integers n as the number of even factors of n other than n itself.
Quantity A |
Quantity B |
*(48) |
*(122) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
A function * is defined for all even positive integers n as
[#permalink]
19 Apr 2018, 03:17
19 Apr 2018, 03:17
3
The question states
*n = Number of even factors of n other than n
Let's look at the definition of the given function here with a simple example:
For example to find *4, we need to find the number of even factors of 4 other than 4 itself.
What is the number of even factors of 4 ?
4 has following factors: 1,2 and 4
2 is the only even factor of 4 apart from 4 itself. That is "number of even factors" of 4 apart from 4 itself is 1
So *4 = 1
Now coming to the question:
Qty A = *48
Factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Number of even factors other than 48 = 7 (2,4,6,8,12,16,24)
Qty A = *122
Factors of 122 are: 1, 2, 61, 122
Number of even factors other than 122 = 1 (2)
Qty A is 7 and Qty B is 1
Correct Answer: Option A
*n = Number of even factors of n other than n
Let's look at the definition of the given function here with a simple example:
For example to find *4, we need to find the number of even factors of 4 other than 4 itself.
What is the number of even factors of 4 ?
4 has following factors: 1,2 and 4
2 is the only even factor of 4 apart from 4 itself. That is "number of even factors" of 4 apart from 4 itself is 1
So *4 = 1
Now coming to the question:
Qty A = *48
Factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Number of even factors other than 48 = 7 (2,4,6,8,12,16,24)
Qty A = *122
Factors of 122 are: 1, 2, 61, 122
Number of even factors other than 122 = 1 (2)
Qty A is 7 and Qty B is 1
Correct Answer: Option A
Re: A function * is defined for all even positive integers n as
[#permalink]
19 Jan 2023, 04:24
19 Jan 2023, 04:24
Using the calculator to quickly find factors really helps.
