Is the positive integer p a multiple of 50?

Question

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

TeamGMATIFY · Answer

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

stonecold · Answer

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

Nunuboy1994 · Answer

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

ydmuley · Answer

(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

priyaarorastep · Answer

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

duka12 · Answer

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

Bunuel · Answer

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, ...

AnirudhaS · Answer

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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Is the positive integer p a multiple of 50?

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Is the positive integer p a multiple of 50?

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