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If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 08:01
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74% (01:15) correct 26% (01:10) wrong based on 232 sessions
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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 08:49
Here we go
50,000 < x < 60,000 and x is an integer
St1: Every digit of x except its leading digit is the same.
x could be 51,111; 52,222; 53,333 and so on
Clearly not sufficient
St2: x is divisible by 6.
This can also give multiple values. So not sufficient.
Combining...
Every digit of x except its leading digit is the same, and x is divisible by 6. Simple words > X has to be multiple of 2 and 3
Possible values left
52,222 54,444 56,666 58,888
Only 54,444 is divisible by 6
Option C is correct



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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 19:03
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. Statement 1: x can equal: 51,111 52,222 53,333 54,444 56,666 57,777 58,888 59,999 insufficient. Statement 2: x is divisible by 6. we already know there are multiple solutions. For example, x could be 54,444 or 54,450 as they are both divisible by 6. insufficient. Combined, we know that x=54,444. Answer: C



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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 19:23
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. Statement 1:It could be any option from 5nnnn , 1 <= n <= 9. (51111,52222,53333,..,5nnnn). Multiple answers. Insufficent.Statement 2:Any number in that range divisible by 2 and 3. For example, 51,102 (Last digit pair, and sum of digits = multiple of 3), or 51,105 (Same reasoning). Multiple answers. Insufficient. Statement 1 and 2: From Stmt 2 we know that it needs to be divisible by 2 and 3. From Stmt 1 we know that all the units after the first one repeat, so the only available option that fits is 54,444. (Last digit pair, and the sum of its units is 21, which is a multiple of 3) Answer choice: C



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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 22:17
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. Answer = C. 1) Clearly not sufficient. 51111, 52222.... many solutions 2) Also not sufficient... several number divisible by 6. Combining the two, we can have only 4 possibilities 52222 54444 56666 58888 To be divisible by 6, number should be even and divisible by 3  which only 58888 is in the above list. So answer = C.



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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 22:36
Note: 58,888 is not divisible by 3 or 6
Posted from my mobile device



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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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28 Jan 2015, 22:57
peachfuzz wrote: Note: 58,888 is not divisible by 3 or 6
Posted from my mobile device Aaah I feel stupid. It is 54444  total = 21 so divisible by 3 and is also even. Either way answer is still C. Thanks.



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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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02 Feb 2015, 03:37
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:From S1, we could have 51,111 or 52,222 or 53,333, etc. INSUFFICIENT From S2, we could have 50,004 or 50,010, etc. INSUFFICIENT Combining the statements however, we must have a number that is EVEN and whose digits sum to a multiple of 3. Of the four potential even numbers (52,222, 54,444, 56,666, and 58,888), the only number that divides by 3 is 54,444. Hence the two statements together are SUFFICIENT.
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Re: If 50,000 < x < 60,000 and x is an integer, what is x?
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19 Nov 2017, 16:16
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