GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 18 Feb 2020, 23:01

### GMAT 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

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

Track

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

# What is the units digit of the product of any five consecutive positiv

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8568
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the units digit of the product of any five consecutive positiv  [#permalink]

### Show Tags

08 Mar 2019, 01:39
1
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:37) correct 6% (00:46) wrong based on 49 sessions

### HideShow timer Statistics

[GMAT math practice question]

What is the units digit of the product of any five consecutive positive integers?

A. 0
B. 2
C. 4
D. 6
E. 8

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" e-GMAT Representative Joined: 04 Jan 2015 Posts: 3239 Re: What is the units digit of the product of any five consecutive positiv [#permalink] ### Show Tags 08 Mar 2019, 01:49 Solution To find: • The units digit of the product of any five consecutive positive integers Approach and Working: If we consider any five consecutive positive integers, then among those five integers • 1 multiple of 5 will be always present • At least 2 multiples of 2 will be always present. Now, if we multiply a multiple of 5 with an even number (multiple of 2), then the product will be always a multiple of 10. • Therefore, the units digit of the product = 0 Hence, the correct answer is option A. Answer: A _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8568 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the units digit of the product of any five consecutive positiv [#permalink] ### Show Tags 10 Mar 2019, 17:22 => Since one of the five consecutive integers must be a multiple of $$5$$ and one must an even number, their product is a multiple of $$10$$. Thus, the units digits of the product is $$0$$. Therefore, the answer is A. Answer: A _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9426
Location: United States (CA)
Re: What is the units digit of the product of any five consecutive positiv  [#permalink]

### Show Tags

11 Mar 2019, 07:12
MathRevolution wrote:
[GMAT math practice question]

What is the units digit of the product of any five consecutive positive integers?

A. 0
B. 2
C. 4
D. 6
E. 8

Since we know that the product of 5 consecutive integers will always have prime factors of 2 and 5, the units digit of that product will always end in a zero.

Alternate solution:

Since the product of any five consecutive positive integers is divisible by 5! = 120, then the units digit of the product must be 0.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: What is the units digit of the product of any five consecutive positiv   [#permalink] 11 Mar 2019, 07:12
Display posts from previous: Sort by