考试类型:Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
Seven cards in a pile are numbered
through
. One card is drawn. The units digit of the sum of the numbers on the remaining cards is
. What is the number on the drawn card?
A. 
B. 
C. 
D. 
E. 
|
正确答案:A 解析: The sum of the numbers on all seven cards is
|
, or
. Removing a numbered card reduces the sum of the remaining cards by the number on that card. For example, if the card drawn were numbered
, then the sum of the remaining cards would be
, a number whose units digit is
. Similarly, if the card drawn is numbered
, then the sum of the numbers on the remaining cards is
, whose units digit is
. Therefore, the drawn card was numbered
.
