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 Q is an odd number and the median of Q consecutive integers is 120,
[#permalink]
09 Aug 2021, 15:30
09 Aug 2021, 15:30
Expert Reply
2
Bookmarks
00:00
Question Stats:
80% (01:42) correct
20% (02:18) wrong based on 20 sessions
Hide Show timer Statistics
If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?
(A) (Q - 1)/2 + 120
(B) Q/2 + 119
(C) Q/2 + 120
(D) (Q + 119)/2
(E) (Q + 120)/2
(A) (Q - 1)/2 + 120
(B) Q/2 + 119
(C) Q/2 + 120
(D) (Q + 119)/2
(E) (Q + 120)/2
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If Q is an odd number and the median of Q consecutive integers is 120,
[#permalink]
09 Aug 2021, 15:50
09 Aug 2021, 15:50
1
Carcass wrote:
If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?
(A) (Q - 1)/2 + 120
(B) Q/2 + 119
(C) Q/2 + 120
(D) (Q + 119)/2
(E) (Q + 120)/2
(A) (Q - 1)/2 + 120
(B) Q/2 + 119
(C) Q/2 + 120
(D) (Q + 119)/2
(E) (Q + 120)/2
A very fast solution is to see what happens when Q = 1.
This means that there's only ONE integer in the set.
So, if the median of the set is 120, then the set is {120}, which means the greatest value in the set is 120
So the correct answer choice should yield 120 when Q = 1.
a) (1-1)/2 + 120 = 120 PERFECT!
b) 1/2 + 119 = some non-integer
c) 1/2 + 120 = some non-integer
d) (1+119)/2 = 60
e) (1+120)/2 = some non-integer
Since only answer choice A yield the correct output, it is the correct answer.
Cheers,
Brent
Re: If Q is an odd number and the median of Q consecutive integers is 120,
[#permalink]
22 Jul 2024, 05:30
22 Jul 2024, 05:30
1
Q+1/2=120
Q+1 =240
Q =239.
now plug in the value of Q, which is 239 in every option and check whether the answer is 239 or not.
Q+1 =240
Q =239.
now plug in the value of Q, which is 239 in every option and check whether the answer is 239 or not.
