单选题
If △ and 
represent single digits in the correctly worked computation above, what is the value of △ times 
?
represent single digits in the correctly worked computation above, what is the value of △ times ?
【正确答案】
D
【答案解析】It is probably easiest to determine the values of △ and 
by plugging in values, which is ugly, but there are ways to simplify your computations. If you look at the answer choices, you will see that 8 and 7 are not factors of any of the choices, so you do not need to try them. Also, if you examine possible values for 
, you might realize that 
has to be greater than 2 because 200×200=40,000, which is much less than 80,698, so 
is probably 3 or 4, since 200×300=60,000 and 200×400=80,000. Neither 3 nor 4 is a factor of answer B, 10, so you can eliminate that answer. Plug in the corresponding values of the other answer choices for 
by plugging in values, which is ugly, but there are ways to simplify your computations. If you look at the answer choices, you will see that 8 and 7 are not factors of any of the choices, so you do not need to try them. Also, if you examine possible values for , you might realize that has to be greater than 2 because 200×200=40,000, which is much less than 80,698, so is probably 3 or 4, since 200×300=60,000 and 200×400=80,000. Neither 3 nor 4 is a factor of answer B, 10, so you can eliminate that answer. Plug in the corresponding values of the other answer choices for