aravsha wrote:

My try is by doing with statement.

1. for being divisible by 11 let try with number 11. 11^2-11=110/12 which is not divisible. so first statement cannot be true.

2.for being divisible by 19 let try with number 19. 19^2-19=342/12 which is not divisible. so 2nd statement cannot be true.

now let combine both 11*19

for being divisible by 11*19 let try with LCM of both number 209. 209^2-209=209(209-1)/12= (209*208)/12 since none of these 208 and 209 is divisible by 3 thus t is not divisible by 12 too. so even combining these two wont solve problem.

so E is only ans left

LET ME KNOW IF I AM WRONG.

You are wrong the way you have written..

in DS, a statement is sufficient if it can give a definite answer - definite YES or Definite NO

here you have just worked on getting a NO as the answer. you have to further check if it is true that there is some case where it will be div by 12 too

if there is a case , it is insufficient then only

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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