Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is

Question

Is the integer p divisible by 5 ?

(1) p is divisible by 10.
(2) p is not divisible by 15.

DS32602.01
OG2020 NEW QUESTION

IanStewart · Accepted Answer

If p is divisible by 10, then p is divisible by all of the divisors of 10 too, and in particular is divisible by 5. So Statement 1 is sufficient.

If p is not divisible by 15, then p is not divisible by (at least) one of the prime divisors of 15, so p is not divisible by (at least) one of the numbers 3 or 5. But we don't know which, so we can't answer the question - maybe p is equal to 10 and the answer is 'yes', or maybe p is equal to 11 and the answer is 'no'.

So the answer is A.

Archit3110 · Answer

#1
no divisible by 10 will be divisible by 5
sufficient
#2
p not divisible by 15 so 
15= 3*5
p = 25 ; 5*5/3/5 ; not divisible by 15 but divisible by 5
or p = 30 , divisible by both 5 & 15 
insufficient
IMO A

ShukhratJon · Answer

Hola amigos

Is the integer p divisible by 5 ? 1. p is divisible by 10 So p is the multiple of 10 , and 10 is the multiple 5 . Thus p is the multiple of 5 too. Sufficient 2. p is not divisible by 15 if p = 20 , then it is indivisilbe by 15 but divisible by 5 , so YES if p = 33 , then it is indivisible by both 15 and 5 , so NO Insufficient The answer is A

BrentGMATPrepNow · Answer

Target question :    Is the integer p divisible by 5?

Statement 1 : p is divisible by 10.  
If p is divisible by 10, we can write: p = 10k, for some integer k. 
Rewrite this as: p = ( 5 )(2)(k)
This tells us that p is a multiple of  5 , which means  p must be divisible by 5 
Since we can answer the  target question  with certainty, statement 1 is SUFFICIENT

Statement 2 : p is not divisible by 15. 
Well, there are MANY numbers that are NOT divisible by 15. Here are two: 
 Case a : p = 20. In this case, the answer to the target question is  YES, p IS divisible by 5 
 Case b : p = 21. In this case, the answer to the target question is  NO, p is NOT divisible by 5 
Since we cannot answer the  target question  with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent

EMPOWERgmatRichC · Answer

Hi All,

We're told that P is an integer. We're asked if P is divisible by 5. This is a YES/NO question and can be solved with Number Properties and/or TESTing VALUES.

(1) P is divisible by 10.

Since P is divisible by 10, we know that it is also a multiple of 2 and a multiple of 5. For example, P could be -20, -10, 0, 10, 20, 30, 40...etc. All of these numbers are clearly evenly divisible by 5 (since they all 'end in 0'), thus the answer to the question is ALWAYS YES. 
Fact 1 is SUFFICIENT

(2) P is not divisible by 15.

The information in Fact 2 doesn't restrict the value of P too much (it just cannot be divisible by 15). 
IF.... 
P = 5, then the answer to the question is YES. 
P = 6, then the answer to the question is NO. 
Fact 2 is INSUFFICIENT

Final Answer:  A

GMAT assassins aren't born, they're made, 
Rich

ScottTargetTestPrep · Answer

Statement One Alone:

p is divisible by 10.

We know that if integer n is divisible by integer b, then n is also divisible by any factors of b. Since p is divisible by 10, and 5 is a factor of 10, then p is also divisible by 5.

Statement one alone is sufficient to answer the question.

Statement Two Alone:

p is not divisible by 15.

If p is 20, p/5 is an integer; however, if p = 21, then p/5 is not an integer.

Statement two alone is not sufficient to answer the question.

Answer: A

GMATinsight · Answer

Answer: Option A

Video solution by  GMATinsight

https://www.youtube.com/watch?v=p8vzGmXwdio

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=VRvuJADNb_I

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards