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

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

What do you need to know to get accepted to a Master's in Finance program? This free guide will provide you with the clear, concrete, actionable advice that you need to go from MFiN applicant to MFiN student.

Economist GRE Tutor’s plans all come with a set of practice exams that mirror the official GRE test. Our academic team worked hard to make sure that the practice tests are the closest experience you can get to the real GRE exam.

Within each of the 16 learning modules (Geometry, Statistics, Sentence Equivalence, etc.) that comprise the course, you'll find plenty of free videos to help you make an informed purchase. I also have 4 modules in which all of the videos are free.

Magoosh is excited to offer you a free GRE practice test with video answers and explanations. If you’re thinking about taking the GRE or want to see how effective your GRE test prep has been, pinpoint your strengths and weaknesses with this quiz!

QOTD # 15 The greatest of the 21 positive integers in a cert [#permalink]
10 Sep 2016, 02:04

1

This post received KUDOS

Expert's post

00:00

Question Stats:

75% (01:48) correct
24% (01:12) wrong based on 33 sessions

The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?

Re: QOTD # 15 The greatest of the 21 positive integers in a cert [#permalink]
19 Sep 2016, 17:00

1

This post received KUDOS

Expert's post

Carcass Array[WROTE]:

The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?

A) 4 B) 5 C) 6 D) 7 E) 8

Let the following spaces represent the 21 integers listed in ASCENDING ORDER, with a red space indicating the median: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

The greatest of the 21 positive integers in a certain list is 16 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 16

The median of the 21 integers is 10 _ _ _ _ _ _ _ _ _ _ 10 _ _ _ _ _ _ _ _ _ 16

What is the least possible average (arithmetic mean) of the 21 integers? We must MINIMIZE the 19 remaining integers. So, the first 10 integers must be 1, since 1 is the smallest positive integer. 1 1 1 1 1 1 1 1 1 1 10 _ _ _ _ _ _ _ _ _ 16

The remaining integers must be greater than or equal to 10 and less than or equal to 16 Since, we're trying to MINIMIZE the remaining integers, we'll let each number be 10 to get: 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 10 10 16

Average = (1+1+1+1+1+1+1+1+1+1+10+10+10+10+10+10+10+10+10+10+16)/21 = 126/21 = 6

Re: QOTD # 15 The greatest of the 21 positive integers in a cert [#permalink]
04 May 2018, 09:21

2

This post received KUDOS

Expert's post

Carcass Array[WROTE]:

The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?

A) 4 B) 5 C) 6 D) 7 E) 8

There are 21 numbers in the list, and, if we list the numbers in ascending order, the median is the 11th number.

Thus, we can let each of the first 10 numbers = 1, each of the next 10 numbers = 10, and the last number = 16.

Thus, the average is (10 x 1 + 10 x 10 + 16)/21 = 126/21 = 6.