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, b, c, d, e are five natural numbers all less than 10 such that a <
[#permalink]
15 Feb 2022, 06:58
15 Feb 2022, 06:58
Expert Reply
00:00
Question Stats:
100% (00:49) correct
0% (00:00) wrong based on 1 sessions
Hide Show timer Statistics
a, b, c, d, e are five positive integers each less than 10 such that a < b < c < d < e. Sums of smallest three of these numbers and largest three of these numbers are 11 and 23 respectively. Sum of these five numbers is 28. What is the value of 'c'?
A. 4
B. 5
C. 6
D. 7
E. More than one value possible
A. 4
B. 5
C. 6
D. 7
E. More than one value possible
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: a, b, c, d, e are five natural numbers all less than 10 such that a <
[#permalink]
15 Feb 2022, 07:15
15 Feb 2022, 07:15
Carcass wrote:
a, b, c, d, e are five positive integers each less than 10 such that a < b < c < d < e. Sums of smallest three of these numbers and largest three of these numbers are 11 and 23 respectively. Sum of these five numbers is 28. What is the value of 'c'?
A. 4
B. 5
C. 6
D. 7
E. More than one value possible
A. 4
B. 5
C. 6
D. 7
E. More than one value possible
Given: 0< a < b < c < d < e < 10
The sum of smallest three numbers is 11
We can write: a + b + c = 11
The sum of largest three numbers is 23
We can write: c + d + e = 23
We have the following system:
a + b + c = 11
c + d + e = 23
Add the equations to get: a + b + 2c + d + e = 34
The sum of the five numbers is 28
We can write: a + b + c + d + e = 28
We now have the following system:
a + b + 2c + d + e = 34
a + b + c + d + e = 28
When we subtract the bottom equation from the top equation, we get: c = 6
Answer: C
gmatclubot
Re: a, b, c, d, e are five natural numbers all less than 10 such that a < [#permalink]
15 Feb 2022, 07:15
Moderators:
