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.
If the average of 10, 12, n, and n is greater than 25, what
[#permalink]
24 Nov 2017, 20:48
24 Nov 2017, 20:48
Expert Reply
3
Bookmarks
00:00
Question Stats:
55% (01:03) correct
44% (01:35) wrong based on 36 sessions
Hide Show timer Statistics
If the average of 10, 12, n, and n is greater than 25, what is the least possible value of integer n ?
A. 38
B. 39
C. 40
D. 41
E. 42
A. 38
B. 39
C. 40
D. 41
E. 42
Drill 1
Question: 12
Page: 523
Question: 12
Page: 523
Re: If the average of 10, 12, n, and n is greater than 25, what
[#permalink]
02 Dec 2017, 11:04
02 Dec 2017, 11:04
sandy wrote:
If the average of 10, 12, n, and n is greater than 25, what is the least possible value of integer n ?
A. 38
B. 39
C. 40
D. 41
E. 42
A. 38
B. 39
C. 40
D. 41
E. 42
Drill 1
Question: 12
Page: 523
Question: 12
Page: 523
Now we need to find the least value of n
let us take the average =
\(\frac{(10 + 12 + n + n)}{4}\) = 25
or 22 + 2n = 100
or n = 39 . Now n cannot be 39 because the average of all these 4 nos > 25
so the least value should be 40
Re: If the average of 10, 12, n, and n is greater than 25, what
[#permalink]
10 Dec 2017, 17:14
10 Dec 2017, 17:14
Expert Reply
Explaination
To find the average, divide the total by the number of values. So,\(\frac{10+12+n+n}{4}> 25.\)
Multiply both sides of the inequality by 4 and then subtract 22 (10 + 12) to find 2n > 78. Divide by 2 to find n > 39. So, n is NOT 39; it is the least integer greater than 39, which is 40.
Alternatively, you could plug in the answers starting with choice (A) because the question asks for the least possible value. If n = 38 or 39, then the average is not greater than 25. If n = 40, the average is greater than 25.
The answer is choice C.
To find the average, divide the total by the number of values. So,\(\frac{10+12+n+n}{4}> 25.\)
Multiply both sides of the inequality by 4 and then subtract 22 (10 + 12) to find 2n > 78. Divide by 2 to find n > 39. So, n is NOT 39; it is the least integer greater than 39, which is 40.
Alternatively, you could plug in the answers starting with choice (A) because the question asks for the least possible value. If n = 38 or 39, then the average is not greater than 25. If n = 40, the average is greater than 25.
The answer is choice C.
