We want to determine how many integers end in 13neeti2711 wrote: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
Please suggest the easiest solution!
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
