GMAT Math Questionbank | Statistics

GMAT Sample Questions | Average | Mean & Range

This GMAT quant practice question is a problem solving question from statistics and averages. Concepts tested combines arithmetic mean and range of numbers.

Question 9: If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?

  1. 50
  2. 52
  3. 49
  4. 48
  5. 44

Get to Q51 in GMAT Quant


Online GMAT Course
@ INR 3000


Video Explanation


GMAT Live Online Classes


Start Thu, Dec 3, 2020


Explanatory Answer

The average of 5 positive integers is 40. i.e., the sum of these integers = 5 × 40 = 200

Let the least of these 5 numbers be x.
Because the range of the set is 10, the largest of these 5 numbers will be x + 10.

If we have to maximize the largest of these numbers, we have to minimize all the other numbers.
That is 4 of these numbers are all at the least value possible = x.

So, x + x + x + x + x + 10 = 200
Or x = 38.
So, the maximum value possible for the largest of these 5 integers is 48.

Choice D is the correct answer.

 

GMAT Online Course - Quant
Try it free!

Register in 2 easy steps and
Start learning in 5 minutes!

★ Sign up for Free

Already have an Account?

★ Login to Continue

GMAT Live Online Classes

Next Batch Dec 3, 2020

★ GMAT Live Info

GMAT Coaching in Chennai

Next Integrated (Online + Offline) Batch
Starts Thu, Dec 3, 2020

★ GMAT Class Info

GMAT Coaching in Chennai

Sign up for a Free Demo of our GMAT Classes in Chennai

★ Schedule Demo


GMAT Sample Questions | Topicwise GMAT Questions


Where is Wizako located?

Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
48/1 Ramagiri Nagar
Velachery Taramani Link Road.,
Velachery, Chennai 600 042. India

How to reach Wizako?

Phone: (91) 44 4500 8484
Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Email: learn@wizako.com
Leave A Message