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

 It is currently 17 Jun 2019, 08:00 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If k, (k+200), (k+350), and 15*K are all multiples of P, the

Author Message
TAGS:

Hide Tags

Senior Manager  Joined: 10 Apr 2012
Posts: 268
Location: United States
Concentration: Technology, Other
GPA: 2.44
WE: Project Management (Telecommunications)
If k, (k+200), (k+350), and 15*K are all multiples of P, the  [#permalink]

Show Tags

1
14 00:00

Difficulty:   45% (medium)

Question Stats: 67% (01:53) correct 33% (02:05) wrong based on 269 sessions

HideShow timer Statistics

If k, (k+200), (k+350), and 15*K are all multiples of P, then P could equal which of the following ?

A. 20
B. 25
C. 75
D. 100
E. 150
Math Expert V
Joined: 02 Sep 2009
Posts: 55635
Re: If k, (k+200), (k+350), and 15*K are all multiples of P, the  [#permalink]

Show Tags

6
6
guerrero25 wrote:
If k, (k+200), (k+350), and 15*K are all multiples of P, then P could equal which of the following ?

A. 20
B. 25
C. 75
D. 100
E. 150

{Multiple of p} - {Multiple of p} = {Multiple of p}.

(K+200) - k = 200 = {Multiple of p}.
(K+350) - k = 350 = {Multiple of p}.

Both 200 and 350 are multiples of only option B.

_________________
General Discussion
Manager  Status: Applied
Joined: 02 May 2014
Posts: 125
Location: India
Concentration: Operations, General Management
GMAT 1: 690 Q47 V38 GPA: 3.35
WE: Information Technology (Computer Software)
Re: If k, (k+200), (k+350), and 15*K are all multiples of P, the  [#permalink]

Show Tags

trail and error since question is asking about may be value any value satisfying the conditions is the answer 25 is the answer hence
Director  D
Joined: 05 Mar 2015
Posts: 992
Re: If K, (K+200), (K+350), and 15*K are all multiples of P  [#permalink]

Show Tags

mkrishnabdrr wrote:
If K, (K+200), (K+350), and 15*K are all multiples of P, then P could equal which of the following?
A. 20
B. 25
C. 75
D. 100
E. 150

substiute each value in options given to value K and check if it is divisible by P

(1) K=20 then K+350 = 370 not div by 20...NO
(2) K=25 ...All values K, (K+200), (K+350), and 15*K are div by 25--YES
(3) k= 75 then K+200= 275 not div by 75...NO
(4) k=100 then K+350 = 450 not div by 100...NO
(5) 150 then K+200 =350 not div by 150...NO

Ans B
VP  D
Status: Learning
Joined: 20 Dec 2015
Posts: 1007
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36 GRE 1: Q157 V157 GPA: 3.4
WE: Engineering (Manufacturing)
If K, (K+200), (K+350), and 15*K are all multiples of P  [#permalink]

Show Tags

Imo B
I did by substituting values of option .
Is there any other method by which we can solve this question?
_________________
Math Expert V
Joined: 02 Aug 2009
Posts: 7749
Re: If K, (K+200), (K+350), and 15*K are all multiples of P  [#permalink]

Show Tags

mkrishnabdrr wrote:
If K, (K+200), (K+350), and 15*K are all multiples of P, then P could equal which of the following?
A. 20
B. 25
C. 75
D. 100
E. 150

Hi
A logical method apart from substitution is
If two numbers are divisible by P, their difference will also be div by P
So k +200 - k=200 is div by P
K+350-k=350 is div by P.
You can stop here or move onto next.
So both 200 and 350 are div by P, and HCF of 200&350 is 50..
In choices only 25 is factor of 50
B

If 150 is the answer, it's Factors 25 and 75 can also be the answer but we cannot have THREE answers, so higher multiple are out .. ONLY 25 is possible in these three.
Similarly in 20 and 100 ONLY 20 is possible.
Now you can find through substitution for only 20 and 25, eliminate all other choices
_________________
VP  D
Status: Learning
Joined: 20 Dec 2015
Posts: 1007
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36 GRE 1: Q157 V157 GPA: 3.4
WE: Engineering (Manufacturing)
Re: If k, (k+200), (k+350), and 15*K are all multiples of P, the  [#permalink]

Show Tags

chetan2u wrote:
mkrishnabdrr wrote:
If K, (K+200), (K+350), and 15*K are all multiples of P, then P could equal which of the following?
A. 20
B. 25
C. 75
D. 100
E. 150

Hi
A logical method apart from substitution is
If two numbers are divisible by P, their difference will also be div by P
So k +200 - k=200 is div by P
K+350-k=350 is div by P.
You can stop here or move onto next.
So both 200 and 350 are div by P, and HCF of 200&350 is 50..
In choices only 25 is factor of 50
B

If 150 is the answer, it's Factors 25 and 75 can also be the answer but we cannot have THREE answers, so higher multiple are out .. ONLY 25 is possible in these three.
Similarly in 20 and 100 ONLY 20 is possible.
Now you can find through substitution for only 20 and 25, eliminate all other choices

Hi thanks chetan2u
i always get stuck in question involving like these , can you give me some tips regarding number properties.
_________________
Director  D
Joined: 13 Mar 2017
Posts: 730
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If k, (k+200), (k+350), and 15*K are all multiples of P, the  [#permalink]

Show Tags

guerrero25 wrote:
If k, (k+200), (k+350), and 15*K are all multiples of P, then P could equal which of the following ?

A. 20
B. 25
C. 75
D. 100
E. 150

This question needs to be solved very carefully.

So we have to check values form option which can completely divide k, k+200, k+350, 15k
SO the number which will divide k will also divide 15k . so no need to check 15k
For the k+200 & k+350 , number must divide 200 & 350 respectively

So lets check with 20, 200 - Yes, 350 - No
25, 200 yes , 350 yes
75 , 200 No , 350 No
100, 200 Yes, 350 No
150, 200 No, 350 No

_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Manager  B
Joined: 29 May 2017
Posts: 128
Location: Pakistan
Concentration: Social Entrepreneurship, Sustainability
Re: If k, (k+200), (k+350), and 15*K are all multiples of P, the  [#permalink]

Show Tags

chetan2u wrote:
mkrishnabdrr wrote:
If K, (K+200), (K+350), and 15*K are all multiples of P, then P could equal which of the following?
A. 20
B. 25
C. 75
D. 100
E. 150

Hi
A logical method apart from substitution is
If two numbers are divisible by P, their difference will also be div by P
So k +200 - k=200 is div by P
K+350-k=350 is div by P.
You can stop here or move onto next.
So both 200 and 350 are div by P, and HCF of 200&350 is 50..
In choices only 25 is factor of 50
B

If 150 is the answer, it's Factors 25 and 75 can also be the answer but we cannot have THREE answers, so higher multiple are out .. ONLY 25 is possible in these three.
Similarly in 20 and 100 ONLY 20 is possible.
Now you can find through substitution for only 20 and 25, eliminate all other choices

Would it be correct to say the following:

since k+350 is divisible by P, that implies: k is divisible by P and 350 is divisible by P?

thanks Re: If k, (k+200), (k+350), and 15*K are all multiples of P, the   [#permalink] 10 Sep 2018, 01:20
Display posts from previous: Sort by

If k, (k+200), (k+350), and 15*K are all multiples of P, the  