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 Author: Bunuel [ 13 Mar 2020, 01:48 ] Post subject: The integers r, s, and t all have the same remainder when divided by 5 The integers r, s, and t all have the same remainder when divided by 5. What is the value of t ?(1) r + s = t(2) 20 ≤ t ≤ 24Are You Up For the Challenge: 700 Level Questions

 Author: GMATinsight [ 13 Mar 2020, 05:09 ] Post subject: Re: The integers r, s, and t all have the same remainder when divided by 5 Bunuel wrote:The integers r, s, and t all have the same remainder when divided by 5. What is the value of t ?(1) r + s = t(2) 20 ≤ t ≤ 24Given: The integers r, s, and t all have the same remainder when divided by 5I.e. r = 5a+pI.e. s = 5b+pI.e. t = 5c+pwhere p is the remainder.Question: t = t = 5c+p = ?Statement 1: r + s = tI.e. (5a+p) + (5b+p) = 5c+pI.e. 5(a+b) + p = 5cI.e. p must be zero and t must be a multiple of 5but c is unknown hence value of t can not be calculatedNOT SUFFICIENTStatement 2: 20 ≤ t ≤ 24t can be 20 or 21 or 22 etc henceNOT SUFFICIENTCombining the statementst is a multiple of 5 and 20 ≤ t ≤ 24I.e. t = 20SUFFICIENTAnswer: Option C

 Author: exc4libur [ 09 Jun 2020, 09:45 ] Post subject: Re: The integers r, s, and t all have the same remainder when divided by 5 Bunuel wrote:The integers r, s, and t all have the same remainder when divided by 5. What is the value of t ?(1) r + s = t(2) 20 ≤ t ≤ 24r/5=5p+xs/5=5q+xt/5=5r+x0 ≤ remainder x ≤ 4(1) insufic5p+x+5q+x=5r+x5p+5q+x=5ronly multi of 5 for x is 05(p+q)=5rno info about r(2) insufic(1/2) sufic20≤5r+x≤2420≤5r≤244≤r<5r=integer=4Ans (C)

 Author: Tonkotsu [ 21 Jan 2021, 13:22 ] Post subject: Re: The integers r, s, and t all have the same remainder when divided by 5 GMATinsight wrote:Statement 1: r + s = tI.e. (5a+p) + (5b+p) = 5c+pI.e. 5(a+b) + p = 5cI.e. p must be zero and t must be a multiple of 5but c is unknown hence value of t can not be calculatedHi GMATinsightI am not understanding why p must be zero and t must be a multiple of 5. May I have some elaboration on why this is the case, and maybe how I can arrive to this conclusion in the future? Thank you so much for the help.Actually, this all the sudden makes sense to me.I forgot that there is an unwritten constraint for pp must be less than 5. Furthermore, the LHS of this equation below must be a multiple of 5, which subsequently points to p equaling 0.5(a+b) + p = 5cMy apologies.

 Author: bumpbot [ 13 Oct 2022, 04:08 ] Post subject: Re: The integers r, s, and t all have the same remainder when divided by 5 Hello from the GMAT Club BumpBot!Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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