If a represents a single digit and the four digit integer a12a is divi

Question

If a represents a single digit and the four digit integer a12a is divisible by 6, what is a?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 7

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Gollo · Answer

6=3*2, hence a have to be an even number as well as (a+2+1+a) have to be divisible by 3
lets check the options of a.....2 4 6 8
trying these options 7 11 15 19
in the sum so that
the resultant 
2a+3 is divisible by 3 
hence for value of a=6 we will get the right answer

priya1303 · Answer

a12a should be divisible by 2 and 3 
last digit must be even and 2a must be multiple of 3.
The only option is 6

KVISHUINFO · Answer

Read the question:

aXXa is divisible by 6, i.e divisible by 2 and 3

only 6126 is divisible by 6.

SaquibHGMATWhiz · Answer

Solution:

a12a is divisible by 6 means it has to be divisible by 2 and 3

To be divisible be 2, the last digit i.e.,  a has to be even . This eliminates options B and E

Now we can plug each option and check divisibility by 3

Option A:  2 
a12a = 2122 is not divisible by 3 because 2 + 1 + 2 + 2 = 7 is not divisible by 3

Option C:  4
a12a = 4124 is not divisible by 3 because 4 + 1 + 2 + 4 = 11 is not divisible by 3

Option D:  6
a12a = 6126 is divisible by 3 because 6 + 1 + 2 + 6 = 15 is divisible by 3

Hence the right answer is    Option D

bumpbot · Answer

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If a represents a single digit and the four digit integer a12a is divi

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If a represents a single digit and the four digit integer a12a is divi

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