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02 Dec 2006, 22:13
Kudos
Bookmarks
could not figure out this divisibility question:
which of the numbers could be the no. of hours in x days where x is an integer.
25xx06
50xx26
56xx02
62xx50
65xx20
where each x denotes a missing digit
thanks in advance!
which of the numbers could be the no. of hours in x days where x is an integer.
25xx06
50xx26
56xx02
62xx50
65xx20
where each x denotes a missing digit
thanks in advance!
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03 Dec 2006, 00:46
Kudos
Bookmarks
got E.
you can discover that the ending digit must be the 0, 2, 4, ..., 8, the even numbers.
A and B: the x days must have unit digit of 4 or 9. but if u try its unit digit, the tens digit can never be an even number.
D is eliminated because 50 is never possible. the tens digit can never be odd.
C are eliminated because x days must have unit digit of either 3 or 8.
but the tens digit can only be odd. it can never be even.
E is left.
you can discover that the ending digit must be the 0, 2, 4, ..., 8, the even numbers.
A and B: the x days must have unit digit of 4 or 9. but if u try its unit digit, the tens digit can never be an even number.
D is eliminated because 50 is never possible. the tens digit can never be odd.
C are eliminated because x days must have unit digit of either 3 or 8.
but the tens digit can only be odd. it can never be even.
E is left.
