Two different numbers when divided by the same divisor left

Oldest

Best Reply

Author

Message

TAGS:

Intern

Joined: 05 May 2003

Posts: 23

Followers: 0

Kudos [?]: 0 [0], given: 0

Two different numbers when divided by the same divisor left [#permalink]

17 May 2003, 08:30

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

Two different numbers when divided by the same divisor left a
remainder of 11 and 21 respectively and when the sum of the numbers
was divided the remainder was 4. what is the divisor??
a) 36
b) 28
c) 14
d) 9

SVP

Joined: 03 Feb 2003

Posts: 1683

Followers: 4

Kudos [?]: 16 [0], given: 0

[#permalink]

18 May 2003, 05:10

Given that:

R=kX+11
Q=mX+21
R+Q=nX+4
**************************************
Add P+Q=(k+m)X+32, which is equal to nX+4

32-4=28

Intern

Joined: 05 May 2003

Posts: 1

Followers: 0

Kudos [?]: 0 [0], given: 0

[#permalink]

20 May 2003, 07:53

just an extenion to your solution...
it could be either of 28 or 14 but since the remainder of 21 implied the divisor should be larger than 21 the anwer is 28

Senior Manager

Joined: 19 May 2004

Posts: 291

Followers: 1

Kudos [?]: 0 [0], given: 0

[#permalink]

30 Jun 2004, 11:01

Can someone please explain the solution to this problem ?

Senior Manager

Joined: 21 Mar 2004

Posts: 447

Location: Cary,NC

Followers: 2

Kudos [?]: 2 [0], given: 0

[#permalink]

30 Jun 2004, 12:49

Hi Dookie,

let the first no be x.

x/n = (an integer) + 11 = u + 11 - equation 1

similarly

y/n = (an integer) + 21 = v + 21 - equation 2

(x+y)/n = (an integer) + 4 = w + 4 - equation 3

eq1+eq2 = eq3 - equation 4

simplifies
n(u+v) + 32 = nw + 4 - here u,v,w are integers.

this means that n is a factor of 28.........bcoz n<=32-4 or n<=28

the factors of 28 are 14,7 etc.

since we have seen a remainder of 21 this means that n>21 , therefore n=28.

- ash
_________________

ash
________________________
I'm crossing the bridge.........

Manager

Joined: 08 Jun 2004

Posts: 245

Location: INDIA

Followers: 2

Kudos [?]: 3 [0], given: 0

[#permalink]

30 Jun 2004, 13:09

I substituted the numbers and got the ans as 28...

the easiest way with substitution...take a number that s more than 21 cos the least number that can divide 21 perfect =21 ...

take /37/28= reminder 11 and add 10 to this reminder and that wud get U 47 which gives a reminder of 21...

add both 37+47 = 88
now 88/28 leaves a reminder 4...

hope that helps!

Have fun :-D

_________________

the whole worldmakes way for the man who knows wer he's going... good luck

[#permalink] 30 Jun 2004, 13:09

	Similar topics	Author	Replies	Last post
Similar Topics:	Two numbers when divided by a certain divisor leave	Praetorian	1	29 Sep 2003, 21:06
	Two numbers A, and B when divided by the same divisor leave	sunniboy007	5	07 Mar 2004, 14:19
	Two numbers when divided by a certain divisor leave	GMATT73	4	01 Nov 2005, 00:43
	When a number is successively divided by two divisors d1 and	allabout	2	08 Jan 2006, 12:37
	A number when divided by a certain divisor left remainder 24	apoorvarora	1	01 Dec 2012, 08:51

Two different numbers when divided by the same divisor left

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

Two different numbers when divided by the same divisor left

Two different numbers when divided by the same divisor left

Main navigation

GMAT Resources

Partners

MBA Resources