TeHCM wrote:

joemama142000 wrote:

Is the three-digit number n less than 550?

1) The product of the digits in n is 30

2) The sum of the digits in n is 10

Answer is C

(1) Could be 615 or 516, etc. Insufficient

(2) Could be 640 or 460, etc. Insufficient

(1) + (2) only possibilities are numbers that contain 5, 3, 2. 532, 235...etc.. All less than 550.

Yes. C it is

from 1: the factors of 30 is 1,2,3,5,6,10,15,30 ..since the number must be digits ---> 10,15 and 50 don't need to be considered

+In case the hundreds digit of the 3-digit number is 1,2,3 ---> answer to the question is clearly YES.

+In case hundreds digit= 5 , the second digit can only be 1,2,3 coz if it's 6 ---> violate 2 ---> answer to the question is YES.

+In case hundreds digit= 6 --> the number must contain 5 to satisfy first statement ---> but then it violates statement 2 ----> there's no 3-digit number with the hundreds digit = 6 satisfying the 2 statements together

=> The number is always less than 550

---->suff

C it is.