Data Sufficiency

Hi all,

Please let me know if there's a logic error in my analysis

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

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

First of all, if b is a multiple of 24, b must have factors of 3, 2, 2 and 2

Stmt 1 should be in sufficient since we don't know whether b is also a multiple of 8, and also we already know that b is a multiple of 3 since b is a product of 3 consecutive integers.

Stmt 2 is insuff because we C could be anything. For example,
C = 25, so b is 25 * 26 * 27, and b is not a multiple of 24.

1+2 still insuff based on the example above in stmt 2.

Please let me know if there is an error in the answer choice, which is A.

Jameschan168 wrote:Hi all,

Please let me know if there's a logic error in my analysis

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

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

First of all, if b is a multiple of 24, b must have factors of 3, 2, 2 and 2

Stmt 1 should be in sufficient since we don't know whether b is also a multiple of 8, and also we already know that b is a multiple of 3 since b is a product of 3 consecutive integers.

Stmt 2 is insuff because we C could be anything. For example,
C = 25, so b is 25 * 26 * 27, and b is not a multiple of 24.

1+2 still insuff based on the example above in stmt 2.

Please let me know if there is an error in the answer choice, which is A.

Nothing wrong with your logic answer should be E .. something definitely wrong with the source of these questions .. i remember there was something wrong with the last question you posted too ..