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A positive integer N is a six digit number of the form
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08 Aug 2018, 21:43
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A positive integer N is a six digit number of the form xyxyyy where x and y are distinct digits. What is the value of x? (1) N is divisible by 6. (2) N is divisible by each integer from 1 to 5. Posted from my mobile device
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Re: A positive integer N is a six digit number of the form
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09 Aug 2018, 00:32
A positive integer N is a six digit number of the form xyxyyy where x and y are distinct digits. What is the value of x? (1) N is divisible by 6. just tells us that x+y+x+y+y+y+y is divisible by 3 and y is even so 2(x+2y) is div by 3 x can be 3 and y = 0 x can be 5, and y = 2 insuff (2) N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 x can be anything insuff combined y=0, x can be 3 and nunmber 303000 also y=0, x=6 0r 9 insuff e
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Re: A positive integer N is a six digit number of the form
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10 Aug 2018, 07:54
chetan2u wrote: A positive integer N is a six digit number of the form xyxyyy where x and y are distinct digits. What is the value of x?
(1) N is divisible by 6. just tells us that x+y+x+y+y+y+y is divisible by 3 and y is even so 2(x+2y) is div by 3 x can be 3 and y = 0 x can be 5, and y = 2 insuff
(2) N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 x can be anything insuff
combined y=0, x can be 3 and nunmber 303000 also y=0, x=6 0r 9 insuff
e Hello, I have a question about statement 2. (2) N is divisible by each integer from 1 to 5. Doesn't this means that N is divisible by 1,2,3,4 and 5? If so, doesn't this statement mean that N is divisible by 2 and 3 as well as 5 and makes y=0 and x=3 making option C sufficient? Thanks. chetan2uPosted from my mobile device



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Re: A positive integer N is a six digit number of the form
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10 Aug 2018, 08:42
Kem12 wrote: chetan2u wrote: A positive integer N is a six digit number of the form xyxyyy where x and y are distinct digits. What is the value of x?
(1) N is divisible by 6. just tells us that x+y+x+y+y+y+y is divisible by 3 and y is even so 2(x+2y) is div by 3 x can be 3 and y = 0 x can be 5, and y = 2 insuff
(2) N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 x can be anything insuff
combined y=0, x can be 3 and nunmber 303000 also y=0, x=6 0r 9 insuff
e Hello, I have a question about statement 2. (2) N is divisible by each integer from 1 to 5. Doesn't this means that N is divisible by 1,2,3,4 and 5? If so, doesn't this statement mean that N is divisible by 2 and 3 as well as 5 and makes y=0 and x=3 making option C sufficient? Thanks. chetan2uPosted from my mobile deviceHi.. Number is xyxyyy . Div by 1 to 5 means div by LCM of 1,2,3,4,5, =60 so Ans can be 303000 or 606000 or 909000 So X could be 3, or 6, or 9 Insuff
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1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
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Re: A positive integer N is a six digit number of the form
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15 Aug 2018, 16:36
Thanks @chetan2u...understood.
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Re: A positive integer N is a six digit number of the form
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16 Aug 2018, 07:10
chetan2u wrote: A positive integer N is a six digit number of the form xyxyyy where x and y are distinct digits. What is the value of x?
(1) N is divisible by 6. just tells us that x+y+x+y+y+y+y is divisible by 3 and y is even so 2(x+2y) is div by 3 x can be 3 and y = 0 x can be 5, and y = 2 insuff
(2) N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 x can be anything insuff
combined y=0, x can be 3 and nunmber 303000 also y=0, x=6 0r 9 insuff
e Hi, for the reason of {2}, i guess , i am missing something please correct me if needed. N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 1,2,3,4,5 are all factors of the number xyxyyy for 5 divisibility the last digit need to be 0 or 5. But for 4 divisibility it need to be last two digits must be divisible by 4 so cannot be ( 55 ), but 00 (yes). for 3 divisibility sum should be multiple of 3k ie x can be 3,6,9 x= 3,6,9 y=0. right.



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Re: A positive integer N is a six digit number of the form
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16 Aug 2018, 09:42
Tamao411284 wrote: chetan2u wrote: A positive integer N is a six digit number of the form xyxyyy where x and y are distinct digits. What is the value of x?
(1) N is divisible by 6. just tells us that x+y+x+y+y+y+y is divisible by 3 and y is even so 2(x+2y) is div by 3 x can be 3 and y = 0 x can be 5, and y = 2 insuff
(2) N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 x can be anything insuff
combined y=0, x can be 3 and nunmber 303000 also y=0, x=6 0r 9 insuff
e Hi, for the reason of {2}, i guess , i am missing something please correct me if needed. N is divisible by each integer from 1 to 5. this means y is multiple of 5, hence 0 or 5 1,2,3,4,5 are all factors of the number xyxyyy for 5 divisibility the last digit need to be 0 or 5. But for 4 divisibility it need to be last two digits must be divisible by 4 so cannot be ( 55 ), but 00 (yes). for 3 divisibility sum should be multiple of 3k ie x can be 3,6,9 x= 3,6,9 y=0. right. Hello I think your analysis is correct. Since from second statement we get y=0 but there is no unique value of x, hence second statement is not sufficient.




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