I need explanation please!

[babachal]

If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?

(1) b is a multiple of 3,
(2) c is odd.

[altin]

let say c=1 than 1,2,3 or c=7 than 7,8,9
(1) either case b is multiple of 3 but c=1 is not multiple of 24 c=7 multiple of 24 NS
(2) C is odd in eiher case we did NS
Answer is E

If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?

(1) b is a multiple of 3,
(2) c is odd.

[babachal]

hi Altin (it means gold in my language), i picked the same answer as you did, but the real answer is A, only I is sfficient!

[altin]

hi Altin (it means gold in my language), i picked the same answer as you did, but the real answer is A, only I is sfficient!

Soruda bir yanlisklik olabilir o zaman

[babachal]

u speaking turkish, chok guzel, eldeettigim 1000 series sorular ichinda ara sira bu gibi yaramazlariyle karshilashiyorum, chok sagol!

[netigen]

A can not be the answer as it's redundant info. We already know that b will be multiple of 3 from the question itself.

[Ian Stewart]

Yes, A is not useful as written. The product of n consecutive integers is always divisible by n!. So before even reading the statements, we know b is divisible by 3! = 6.

If instead Statement A said 'b is divisible by 8', then it would be sufficient; since b is also divisible by 3, it would then be divisible by 24.