This was a real GMAT problem from an old GMAT Test Paper exam.

How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?

a) 10,300

b) 10,030

c) 1353

d) 1352

e) 1339


E is the correct answer. Could someone explain how one would do this problem in under 2 minutes? Thanks.