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Is the positive integer p a multiple of 50?
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Bunuel
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Is the positive integer p a multiple of 50? [#permalink] New post  28 Feb 2016, 07:23
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Is the positive integer p a multiple of 50?

(1) p is a multiple of 10
(2) p is a multiple of 5
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  03 Mar 2016, 03:27
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Bunuel wrote:
Is the positive integer p a multiple of 50?

(1) p is a multiple of 10
(2) p is a multiple of 5


Required: Is p a multiple of 50?

Statement 1: p is a multiple of 10
P can be 10, 20, 30, 50, 100 etc.
Therefore p may or may not be a multiple of 50
INSUFFICIENT

Statement 2: p is a multiple of 5
P can be 5, 10, 15, 50, 55 etc.
Therefore p may or may not be a multiple of 50
INSUFFICIENT

Combining Statement 1 and Statement 2:
P is a multiple of 10 and 5 both
Still p can have values such as 10, 20 , 30, 50, 100
Therefore p may or may not be a multiple of 50

INSUFFICIENT

Option E
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  13 Mar 2016, 22:34
Rule to be used here => an integer is divisible by its factors and factors of its factors..
Also N=10,50 satisfy both of them
Hence E
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  16 Apr 2017, 19:54
Bunuel wrote:
Is the positive integer p a multiple of 50?

(1) p is a multiple of 10
(2) p is a multiple of 5


Statement 1

P could be 30 or 40

Insufficient

Statement 2

P could be a multiple of 15 or 20

Insufficient

Statement 1 & 2

Even with both pieces of information P could be 30, 40 or 100 still
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  09 Jul 2017, 06:11
Bunuel wrote:
Is the positive integer p a multiple of 50?

(1) p is a multiple of 10
(2) p is a multiple of 5



(1) p is a multiple of 10

p is a multiple of 10 - So p can be - 30, 50, 100

Based on this we cannot say of p is a multiple of 50

Hence, (1) ===== is NOT SUFFICIENT

(2) p is a multiple of 5

p is multiple of 5 - So p can again be - 30,50,100

Based on this we cannot say of p is a multiple of 50

Hence, (2) ===== is NOT SUFFICIENT

Combining (1) & (2)

We still can say that p p can be - 30, 50, 100

Hence, (1) & (2) ===== is NOT SUFFICIENT

Hence, Answer is E
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  25 Oct 2019, 00:05
Hi, I have a doubt (might be stupid).
As p is a multiple of 50(factors of 50=5*2*5) we can say p has at least one's 2 and two's 5.
Statement 1 -says p is a multiple of 10(factors =5*2) means p has at least one's 2 and one's 5.
Statement 2 - says p is a multiple of 5 means p has atleast one 5.
How can we conclude to answer using theory and without taking actual numbers?

Thanks
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  13 Dec 2019, 05:02
priyaarorastep wrote:
Hi, I have a doubt (might be stupid).
As p is a multiple of 50(factors of 50=5*2*5) we can say p has at least one's 2 and two's 5.
Statement 1 -says p is a multiple of 10(factors =5*2) means p has at least one's 2 and one's 5.
Statement 2 - says p is a multiple of 5 means p has atleast one 5.
How can we conclude to answer using theory and without taking actual numbers?

Thanks


That's what I also though of it @Buneul, pls can u explain
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Bunuel
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  13 Dec 2019, 06:59
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duka12 wrote:
priyaarorastep wrote:
Hi, I have a doubt (might be stupid).
As p is a multiple of 50(factors of 50=5*2*5) we can say p has at least one's 2 and two's 5.
Statement 1 -says p is a multiple of 10(factors =5*2) means p has at least one's 2 and one's 5.
Statement 2 - says p is a multiple of 5 means p has atleast one 5.
How can we conclude to answer using theory and without taking actual numbers?

Thanks


That's what I also though of it @Buneul, pls can u explain


This is quite an easy question. When taking together we only know that p is a multiple of 10. That's it. Can it be a multiple of 50? Sure: 50, 100, ... Can it not be a multiple of 50? Easy: 10, 20, ...
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Is the positive integer p a multiple of 50? [#permalink] New post  13 Dec 2019, 10:42
is p a multiple of 50?

(1) p is a multiple of 10 --> 10, 20, 30, 40, 50, ... So it can be a multiple of 50 (bold) or not (not in bold)... NOT SUFFICIENT

(2) p is a multiple of 5 --> 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ..... So it can be a multiple of 50 (bold) or not (not in bold)... NOT SUFFICIENT

(1) & (2) This is also basically (1).. NOT SUFFICIENT

Ans: E
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Re: Is the positive integer p a multiple of 50? [#permalink] New post  19 Apr 2021, 01:40
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