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08 Aug 2018, 22:43
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Difficulty:
65%
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Question Stats:
64% (02:44) correct
36%
(02:33)
wrong
based on 98
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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.
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(1) N is divisible by 6.
(2) N is divisible by each integer from 1 to 5.
Posted from my mobile device
09 Aug 2018, 01:32
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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.
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
(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
10 Aug 2018, 08:54
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chetan2u
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.
chetan2u
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