Number system

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vipulgoyal: Master | Next Rank: 500 Posts; Posts: 468; Joined: Mon Jul 25, 2011 10:20 pmFollowed by: 4 members; Thanked: 29 times

by vipulgoyal » Thu Apr 04, 2013 4:15 am

if J and K are the positive int where k>J what is the value of reminder when K is divided by J ??
1>There exists a positive int M such that k = jM + 5
2> J>5

DS qustion ans C

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Source: Beat The GMAT — Problem Solving | Thu Apr 04, 2013 4:15 am

aditya8062: Legendary Member; Posts: 774; Joined: Mon Jan 23, 2012 4:32 amFollowed by: 14 members; Thanked: 46 times

by aditya8062 » Thu Apr 04, 2013 4:21 am

the answer has to be C for we need to know if J > 5 or not
for only if J > 5 i can say that remainder of K when divided by j will be 5 .think of a situation when J < 5 the remainder can be anything from 0,1 ,2 ,3 ,4 but once i know that J >5 then i can be sure that remainder is definitely 5

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vipulgoyal: Master | Next Rank: 500 Posts; Posts: 468; Joined: Mon Jul 25, 2011 10:20 pmFollowed by: 4 members; Thanked: 29 times

by vipulgoyal » Thu Apr 04, 2013 4:27 am

don know cant we contradict the ans with 19= 7(2) + 5 and 19 = 6(3) + 1
in both cases k>5 but reminder is differant

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aditya8062: Legendary Member; Posts: 774; Joined: Mon Jan 23, 2012 4:32 amFollowed by: 14 members; Thanked: 46 times

by aditya8062 » Thu Apr 04, 2013 4:33 am

don know cant we contradict the ans with 19= 7(2) + 5 and 19 = 6(3) + 1
in both cases k>5 but reminder is differant

my dear vipul ur second example is not following the first condition !!
plz take example that follow both the condition !!

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aditya8062: Legendary Member; Posts: 774; Joined: Mon Jan 23, 2012 4:32 amFollowed by: 14 members; Thanked: 46 times

by aditya8062 » Thu Apr 04, 2013 4:42 am

in other words u cud have written 23 = 6 (3) + 5 now in this case the remainder of 23 divided by 6 will be 5
make sense ?

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Anju@Gurome: GMAT Instructor; Posts: 511; Joined: Wed Aug 11, 2010 9:47 amFollowed by: 86 members; Location: Delhi, India; Thanked: 344 times

by Anju@Gurome » Thu Apr 04, 2013 4:47 am

vipulgoyal wrote:If j and k are the positive int where k > j what is the value of reminder when k is divided by j?
1> There exists a positive int M such that k = jM + 5
2> j > 5

Statement 1: Consider the following two examples,
k = 6, j = 1, M = 1 ---> Remainder = 0
k = 7, j = 2, M = 1 ---> Remainder = 1

Not sufficient

Statement 2: We have no idea about the value of j and k.

Not sufficient

1 & 2 Together: k = jM + 5 and j > 5
This is nothing but saying that when k is divided by j, the quotient is M and the remainder is 5.

Sufficient

The correct answer is C.

Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

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