BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Remainder question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
GMAT Instructor
Posts: 1578
Joined: Thu May 28, 2009 8:02 am
Thanked: 128 times
Followed by:34 members
GMAT Score:760

Remainder question

by Osirus@VeritasPrep » Sun Feb 07, 2010 5:21 pm
If the integer P leaves a remainder of 4 when divided by 9, all of the following must be treu EXCEPT:

A) The number that is 4 less than P is a multiple of 9

B) The number that is 5 more than P is a multiple of 9

C) The number that is 2 more than P is a multiple of 3.

D) When divided by 3, P will leave a remainder of 1.

E) When divided by 2, P will leave a remainder of 1.

I know the answer and can solve the question by plugging in, can anyone explain to me how to solve this problem WITHOUT plugging in?
https://www.beatthegmat.com/the-retake-o ... 51414.html

Brandon Dorsey
GMAT Instructor
Veritas Prep

Buy any Veritas Prep book(s) and receive access to 5 Practice Cats for free! Learn More.
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Sun Feb 07, 2010 7:39 pm
osirus0830 wrote:If the integer P leaves a remainder of 4 when divided by 9, all of the following must be treu EXCEPT:

A) The number that is 4 less than P is a multiple of 9

B) The number that is 5 more than P is a multiple of 9

C) The number that is 2 more than P is a multiple of 3.

D) When divided by 3, P will leave a remainder of 1.

E) When divided by 2, P will leave a remainder of 1.

I know the answer and can solve the question by plugging in, can anyone explain to me how to solve this problem WITHOUT plugging in?

Since integer P leaves a remainder of 4 when divided by 9

so P-4 is divisible by 9 and P+5 is divisible by 9 so A) and b) are correct.

4+2=6 6 is divisible by 3 and P is divisible by 9 and hence divisible by 3 so C) is correct.

when 4 is divided by 3 it leaves remainder 1 and P is divisble by 9 so overall a remainder of 1 will be left. so D) is correct.

when 4 is divided by 2 it will leave no remainder but P divided by 2 will remainder of 1 if P is odd and 0 if P is even.
so for P=even E) is not correct

Hence Correct answer is E
Last edited by shashank.ism on Sun Feb 07, 2010 8:04 pm, edited 2 times in total.
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Sun Feb 07, 2010 7:51 pm
osirus0830 wrote:If the integer P leaves a remainder of 4 when divided by 9, all of the following must be treu EXCEPT:

A) The number that is 4 less than P is a multiple of 9

B) The number that is 5 more than P is a multiple of 9

C) The number that is 2 more than P is a multiple of 3.

D) When divided by 3, P will leave a remainder of 1.

E) When divided by 2, P will leave a remainder of 1.

I know the answer and can solve the question by plugging in, can anyone explain to me how to solve this problem WITHOUT plugging in?
Say the number is P; P=9k+4

A) says 9k+4-4 = 9k is divisible by 9
B) says 9k+4+5 = 9k+9 = 9(k+1) is divisible by 9
C)9k+4+2 = 9k+6 = 3(3k+2) is a multiple of 3
D) 9k+4 = 9k+3+1 = 3(3k+1) +1 leaves a remainder of 1
E) 9k+4= 2(4k+2) + k ; it depends on the value of k what remainder it leaves when divided by 2

Hence E
Always borrow money from a pessimist, he doesn't expect to be paid back.
Top
GMAT Instructor
Posts: 1578
Joined: Thu May 28, 2009 8:02 am
Thanked: 128 times
Followed by:34 members
GMAT Score:760

by Osirus@VeritasPrep » Sun Feb 07, 2010 7:53 pm
shashank.ism wrote:
osirus0830 wrote:If the integer P leaves a remainder of 4 when divided by 9, all of the following must be treu EXCEPT:

A) The number that is 4 less than P is a multiple of 9

B) The number that is 5 more than P is a multiple of 9

C) The number that is 2 more than P is a multiple of 3.

D) When divided by 3, P will leave a remainder of 1.

E) When divided by 2, P will leave a remainder of 1.

I know the answer and can solve the question by plugging in, can anyone explain to me how to solve this problem WITHOUT plugging in?

Ans is D
SMH...Did you even read my question? Not only that, but you even got the answer wrong.
https://www.beatthegmat.com/the-retake-o ... 51414.html

Brandon Dorsey
GMAT Instructor
Veritas Prep

Buy any Veritas Prep book(s) and receive access to 5 Practice Cats for free! Learn More.
Top
Post new topic Post Reply
• Page 1 of 1