GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 08 Dec 2019, 05:31

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

If the smaller of 2 consecutive odd integers is a multiple of 5, which

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59592
If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 26 Apr 2019, 06:24
1
12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (01:51) correct 34% (01:37) wrong based on 779 sessions

HideShow timer Statistics

Most Helpful Community Reply
Manager
Manager
User avatar
G
Status: In last prep stage
Joined: 11 Jun 2017
Posts: 167
GMAT 1: 630 Q44 V33
GMAT 2: 680 Q47 V37
GPA: 3.2
Premium Member
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 29 Apr 2019, 08:39
7
1
Since all options are even and numbers are consecutive ,they can be found by dividing the options by two and adding and subtracting one.
For eg -12/2 =6,so numbers are 5 and 7.Since the smaller number is multiple of 5 ,condition is satisfied.
if we look at options one by one beginning with A, A and B satisfy.C does not .No need to check further since time is less.
Ans.C
General Discussion
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4125
Location: Canada
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 26 Apr 2019, 08:44
2
Top Contributor
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


The question asks "which of the following could NOT be the sum of these 2 integers"

So, if we find an answer choice that COULD be the sum of the 2 integers, we can ELIMINATE it.

-5 and -3 are two consecutive odd integers in which the smaller value (-5) is a multiple of 5
(-5) + (-3) = -8
ELIMINATE A

5 and 7 are two consecutive odd integers in which the smaller value (5) is a multiple of 5
5 + 7 = 12
ELIMINATE B

25 and 27 are two consecutive odd integers in which the smaller value (25) is a multiple of 5
25 + 27 = 52
ELIMINATE D

125 and 127 are two consecutive odd integers in which the smaller value (125) is a multiple of 5
125 + 127 = 252
ELIMINATE E

By the process of elimination, the correct answer is C

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Intern
Intern
avatar
B
Joined: 15 Aug 2016
Posts: 2
Schools: AGSM '18
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 29 Apr 2019, 22:22
1
if we consider option :
10 & 12 ---

smaller no. is a multiple of 5
Sum = 10+12 = 22

so Ans c seems not correct
GMAT Tutor
avatar
G
Joined: 24 Jun 2008
Posts: 1829
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 30 Apr 2019, 05:29
3
1
Our smaller integer is an odd multiple of 5, so is equal to 5x where x is odd. Our numbers are consecutive odd numbers, so the other is 5x+2. Their sum is thus 10x + 2, where x is odd. So if the answer is going to be positive (we can look at answer A later if we need to), the tens digit will be odd (since when we find 10x, we're just sticking a 0 on the end of some odd number), and the units digit will be 2. So we can't possibly get 22 as our answer.
_________________
GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com
Intern
Intern
avatar
B
Joined: 19 Mar 2019
Posts: 25
Location: India
GPA: 3.7
WE: Engineering (Manufacturing)
CAT Tests
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 01 May 2019, 07:03
kiran1989raj wrote:
if we consider option :
10 & 12 ---

smaller no. is a multiple of 5
Sum = 10+12 = 22

so Ans c seems not correct


Question says smallest odd integer so it should end with 5

Posted from my mobile device
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8622
Location: United States (CA)
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 01 May 2019, 17:16
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION


Since the two integers are consecutive odd integers, the larger integer is 2 more than the smaller integer.

Let’s consider the answer choices.

Choice A: -5 + -3 = -8. This can work.

Choice B: 5 + 7 = 12. This can work.

Choice C: The only way to get the sum of two integers to be 22 when one integer is 2 more than the other is with 10 and 12. However, they are NOT consecutive odd integers. So 22 could NOT be the sum of the 2 consecutive odd integers

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 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.

Manager
Manager
avatar
B
Joined: 07 Apr 2018
Posts: 101
Location: United States
Concentration: General Management, Marketing
GMAT 1: 600 Q45 V28
GPA: 3.8
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 02 May 2019, 13:35
4
let's us take the two numbers as 2k+1 and 2k-1
the sum is 4k
k can be negative or positive integers.
only 22 is not a multiple of 4, rest all are.
hence option C.
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1218
If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post Updated on: 28 Jul 2019, 14:10
1
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


least odd multiple of 5: 5+7=12
next least odd multiple of 5: 15+17=32
thus, 22 can not be possible sum
C

Originally posted by gracie on 02 May 2019, 20:50.
Last edited by gracie on 28 Jul 2019, 14:10, edited 3 times in total.
Intern
Intern
avatar
B
Joined: 28 Jan 2019
Posts: 6
Location: India
Concentration: Leadership, Strategy
CAT Tests
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 21 May 2019, 12:21
1
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION



ANSWER - Let the first odd integer be 2n+1, next would be - 2n+3
adding these two - 2n+1+2n+3 = 4n+4 = 4 (n+1)
So, we can say that solution will be multiple of 4.
Only option C is not multiple of 4, hence the ANSWER.

Please give KUDOS if you like the solution.
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8622
Location: United States (CA)
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 23 May 2019, 17:59
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION


We can check the answer choices:

-5 + (-3) = -8, so A works.

5 + 7 = 12, so B works

We see that there is no way to get 22.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 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.

ISB School Moderator
User avatar
G
Joined: 08 Dec 2013
Posts: 615
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '21
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Reviews Badge CAT Tests
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 23 May 2019, 18:33
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION


let odd numbers be x and x+2
Now x=5K

Sum of two odd integers- 2x+2= 2(X+1)

Now let's see if
2(5K+1) = 22 (Option C)

5K + 1= 11
5K=10, K=2.
But if k=2 then x won't be an odd number. So C.
Intern
Intern
avatar
B
Joined: 10 Oct 2016
Posts: 10
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 28 Jul 2019, 09:56
Bunuel wrote:
If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252


PS91602.01
Quantitative Review 2020 NEW QUESTION


There are two methods to solve this question. One through value substitution and other through Algebraic equation.

Approach 1:
Two odd numbers with the smallest odd number is the multiple of 5. hence below are few possible sets.
{5,7}, {15, 17), {25, 27}, {35, 37} {125, 127] etc., When try the sum of the below sets, we could get, 12, 32, 52, 72, etc.. hence we know for sure 22 does not fit into this list. Hence Option is the answer.

Approach 2: Algebraic Equation

A: lowest Odd number multiple of 5 -> 5 (multiple of 5) 2n+1 (odd number) => 5 (2n+1) represents digits 5, 15, 25, 35 etc --
B: Next consequtive odd integer => 5(2n+1) +2

Question: Sum of A+B => 5 (2n+1) + 5 (2n+1) +2
=> 10n+5+10n+5+2
=> 20n +12
now apply values for n= -1, 0, 1, 2, 3 etc.,
n= -1 : 20 (-1)+12 = -8
n= 0 : 20 (0)+ 12 = 12
n= 1 : 20(1)+ 12 = 32
n = 2 : 20 (2)+12 = 52
Similarly
n=12 : 20 (12) + 12 = 252

Hence Option C is not the possible sum. Hope this helps.



==================================================
Please provide your feedback if I miss any logic here. It will help to improve my score.
VP
VP
User avatar
D
Joined: 14 Feb 2017
Posts: 1314
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 650 Q48 V31
GMAT 6: 600 Q38 V35
GPA: 3
WE: Management Consulting (Consulting)
Reviews Badge CAT Tests
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 16 Oct 2019, 21:04
5n + 5n+2 represents two consecutive odd integers in which the first is a multiple of 5.

10n +2 (sum) = each answer choice

solve for n and if n is odd, it should work, but if n is even we know it Cannot be our answer as the pair of integers are odd
Manager
Manager
User avatar
S
Joined: 07 Sep 2019
Posts: 102
Location: Viet Nam
Concentration: Marketing, Strategy
WE: Brand Management (Consumer Products)
GMAT ToolKit User
If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 12 Nov 2019, 04:13
Here is my approach:

The three consecutive integers: 5k (odd), 5k+1 (even), 5k+2 (odd)
The mean = sum of these 2 integers devided by 2 = (10k+2)/2 must be even

Only 22/2 = 11, which is not even. So is the answer.

_________________
--- One day you will thank yourself for not giving up ---
Manager
Manager
avatar
B
Joined: 09 Jun 2019
Posts: 90
Reviews Badge
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 12 Nov 2019, 05:52
Hi GMATPrepNow
Isn't it true that a multiple of a number has to be equal or greater than that number.
For example multiple of 5 are as follows:
5 * 1 = 5 (equal to 5)
5 * 2 = 10 (greater than 5 from here onwards)
.
.
.
and so on...
As -5 < 5, how can -5 be a multiple of 5 in option A?

Thank you,
Dablu
Manager
Manager
User avatar
S
Joined: 07 Sep 2019
Posts: 102
Location: Viet Nam
Concentration: Marketing, Strategy
WE: Brand Management (Consumer Products)
GMAT ToolKit User
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which  [#permalink]

Show Tags

New post 12 Nov 2019, 07:15
gurudabl wrote:
Hi GMATPrepNow
Isn't it true that a multiple of a number has to be equal or greater than that number.
For example multiple of 5 are as follows:
5 * 1 = 5 (equal to 5)
5 * 2 = 10 (greater than 5 from here onwards)
.
.
.
and so on...
As -5 < 5, how can -5 be a multiple of 5 in option A?

Thank you,
Dablu


A multiple of a number is that number multiplied by an integer. And we know that an integer can be negative or positive (or a zero). As a result, a multiple of a number can be greater than, equal to, or less than that number.

Posted from my mobile device
_________________
--- One day you will thank yourself for not giving up ---
GMAT Club Bot
Re: If the smaller of 2 consecutive odd integers is a multiple of 5, which   [#permalink] 12 Nov 2019, 07:15
Display posts from previous: Sort by

If the smaller of 2 consecutive odd integers is a multiple of 5, which

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne