Princeton GMAT Math Bible-----------Remaider questions

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amyyoung999: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Dec 08, 2008 4:39 pm

by amyyoung999 » Mon Dec 15, 2008 1:18 pm

I took the test on Nov.,2008.I encountered a few remaider questions
that are very similiar to the questions on Princeton GMAT Math Bible.

anybody can explain the following question for me? many thanx.

1. The reminder of x divided by 9, 15 or 21 is 3. If x is an integer, what is the smallest possible value of x?

Amy

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Source: Beat The GMAT — Problem Solving | Mon Dec 15, 2008 1:18 pm

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Mon Dec 15, 2008 10:19 pm

Not sure if I missed any trick here.

I think x=3 would satisfy the least integer part unless I missed something.

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PVtrainer: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Fri Dec 12, 2008 10:46 pm; Location: India

Re: Princeton GMAT Math Bible-----------Remaider questions

by PVtrainer » Tue Dec 16, 2008 12:33 am

1. The reminder of x divided by 9, 15 or 21 is 3. If x is an integer, what is the smallest possible value of x?

Ans: The sequence for such type of numbers will be
= N [ LCM (9, 15, 21 )] + 3 , where N is any whole number
When we will put N = 0, we will have ;least exited number which is 3 but when we put N = 1 we will have the answer required answer as
Number = 1 x 315 + 3 = 318

P. V. Singh
+ve Approach, +ve Attitude will give +ve result.

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

Re: Princeton GMAT Math Bible-----------Remaider questions

by Ian Stewart » Fri Dec 26, 2008 8:50 am

amyyoung999 wrote:I took the test on Nov.,2008.I encountered a few remaider questions
that are very similiar to the questions on Princeton GMAT Math Bible.

anybody can explain the following question for me? many thanx.

1. The reminder of x divided by 9, 15 or 21 is 3. If x is an integer, what is the smallest possible value of x?

Amy

The approach in the post above does let you find all such values of x, but as cramya points out, there's no reason why x cannot be equal to 3 here. Indeed, x could also be negative, and there is no smallest possible value, so either there was some additional restriction in the question or the question is badly designed.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

ianstewartgmat.com

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