请教一道prep数学题

anchoretes

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.

I answered (A) whereas the correct answer is (C). Does anyone know why (2) is necessary? 多谢

sunniers

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.

Assume n= 100x+10y+z
(1) x*y*z = 30 ==> 1<=x,y,z<=9
x, y, z can be selected from  2, 3,5 or selected from 1, 5, 6
Maxium n= 651>550; miniun n=156 =>not sure

(2) x+y+z = 10 ==> 1<=x,y,z<=9  ==>Maxium n= 910; Minium n= 109 ==> not sure

For (1)+(2), the only possibility is that x, y, z is selected from  2, 3,5
So maxium n = 532 <550, the answer is n is definitely <550.

anchoretes

thx, the talented Garfield...
Gosh i hate DS

rudder86

哎，我也做错了这么简单的题。为什么就是没想到１呢？？？一快就错。