How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
(A) 10,300
(B) 10,030
(C) 1,353
(D) 1,352
(E) 1,339
(A) 10,300
(B) 10,030
(C) 1,353
(D) 1,352
(E) 1,339
We want to determine how many integers end in 13How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
(A) 10,300
(B) 10,030
(C) 1,353
(D) 1,352
(E) 1,339
For example, 324713, 324813, 324913, 325013, . . . etc.
Recognize that, for every 100 consecutive integers, only 1 will end in 13.
There are 133,900 integers between 324,700 and 458,600 (since 458,600 - 324,700 = 133,900)
Of those 133,900 integers, 1/100 of them end in 13.
1/10 of 133,900 = 1339, so the correct answer is E
Cheers,
Brent
