neeti2711 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!
We want to determine how many integers end in
13
For example, 3247
13, 3248
13, 3249
13, 3250
13, . . . 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
Brent Hanneson - Creator of GMATPrepNow.com
