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16 Sep 2014, 01:44
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If each digit of the positive three-digit integer \(k\) is a positive multiple of 4, what is the value of \(k\)?
(1) The units digit of \(k\) is the least common multiple of the tens and hundreds digits of \(k\).
(2) \(k\) is NOT a multiple of 3.
(1) The units digit of \(k\) is the least common multiple of the tens and hundreds digits of \(k\).
(2) \(k\) is NOT a multiple of 3.
16 Sep 2014, 01:44
Kudos
Bookmarks
Official Solution:
If each digit of the positive three-digit integer \(k\) is a positive multiple of 4, what is the value of \(k\)?
(1) The units digit of \(k\) is the least common multiple of the tens and hundreds digits of \(k\).
Possible values for \(k\) are 444, 488, 848, or 888. Not sufficient.
(2) \(k\) is NOT a multiple of 3.
Possible values for \(k\) are 448, 484, 488, 844, 848, or 884. Not sufficient.
(1)+(2) From the above, \(k\) could be 488 or 848. Still, this is not sufficient.
Answer: E
If each digit of the positive three-digit integer \(k\) is a positive multiple of 4, what is the value of \(k\)?
(1) The units digit of \(k\) is the least common multiple of the tens and hundreds digits of \(k\).
Possible values for \(k\) are 444, 488, 848, or 888. Not sufficient.
(2) \(k\) is NOT a multiple of 3.
Possible values for \(k\) are 448, 484, 488, 844, 848, or 884. Not sufficient.
(1)+(2) From the above, \(k\) could be 488 or 848. Still, this is not sufficient.
Answer: E
16 Nov 2018, 02:31
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Hey Bunuel
I have a doubt -
Can K be 400 and 800?
If we consider LCM (hundreds , tens) = units digit as LCM (4,0) = 0
SO K can be 400?
Are we allowed to consider ZERO when calculating GCD and LCM? Or is it an error?
I have a doubt -
Can K be 400 and 800?
If we consider LCM (hundreds , tens) = units digit as LCM (4,0) = 0
SO K can be 400?
Are we allowed to consider ZERO when calculating GCD and LCM? Or is it an error?
