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Bunuel
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chetan2u
Bunuel
If a four-digit positive integer M183 is divisible by 11, what is the value of M ?

A. 5
B. 6
C. 7
D. 9
E. 8

The rule for divisiblity by 11 is -
Difference between sum of alternate digits is a multiple of 11 including 0.

M183 : M+8-(1+3)=M+4=11a
a cannot be 0 as M will become negative.
a cannot be >1, as M will become 2-digit.
So M+4=11....M=7


C



You may want to double check. M + 4 = 11 right?

Posted from my mobile device
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GMATaxe001
chetan2u
Bunuel
If a four-digit positive integer M183 is divisible by 11, what is the value of M ?

A. 5
B. 6
C. 7
D. 9
E. 8

The rule for divisiblity by 11 is -
Difference between sum of alternate digits is a multiple of 11 including 0.

M183 : M+8-(1+3)=M+4=11a
a cannot be 0 as M will become negative.
a cannot be >1, as M will become 2-digit.
So M+4=11....M=7


C



You may want to double check. M + 4 = 11 right?

Posted from my mobile device

If the number is M81909, then |M+1+0-8-9-9|=|M-25|
Here 25-M=11....M=14??....NO
So 25-M=11*2....M=3 and number is 381909

The Difference can be any multiple of 11.
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