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20 Jul 2005, 15:15
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What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; Where M & N are single digit integers?
(1) 7, 8 (2) 8, 6
(3) 6, 4 (4) 5, 4
(5) Can 't be determined
(1) 7, 8 (2) 8, 6
(3) 6, 4 (4) 5, 4
(5) Can 't be determined
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20 Jul 2005, 19:52
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I plugged in numbers
First you have to recall divisibility rules
for 8- If the last three digits are divisible by 8, the number is also
for 11 - Subtract the sum of the even digits from the sum of the odd digits; if the difference, including 0, is divisible by 11, the number is also.
So M......58N , eliminate cases in the ans choice where N is 8 and 6 because we know 586 and 588 cannot be evenly divided by 8.
4 works for N because 584/8 = 73.
Looking at 584, you can already tell the ansewr is E because if it is not divisible by 11 but to be sure,
Plug in 5 and 6 for M and apply the divisiblilty rule for 11 anser is still E
First you have to recall divisibility rules
for 8- If the last three digits are divisible by 8, the number is also
for 11 - Subtract the sum of the even digits from the sum of the odd digits; if the difference, including 0, is divisible by 11, the number is also.
So M......58N , eliminate cases in the ans choice where N is 8 and 6 because we know 586 and 588 cannot be evenly divided by 8.
4 works for N because 584/8 = 73.
Looking at 584, you can already tell the ansewr is E because if it is not divisible by 11 but to be sure,
Plug in 5 and 6 for M and apply the divisiblilty rule for 11 anser is still E
21 Jul 2005, 09:48
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mandy
Picked (3)
N is 4 as explained in the prev post.
Now since the numbe is divisible by 11.
[M + 9 + 4 + 4 + 8 ] - [ 3 + 0 + 8 + 5 + N ] = 11K ( K IS AN INTEGER )
M + 25 - 16 - N = 11K
M - N + 9 = 11K
M + 5 = 11K
Since M IS less than 10 , k = 1.
Only M = 6 satisfies
HMTG.
