The number XXXXXXXXXX3n is a perfect cube of an integer for natural number n equalling: (a) 12 (b) 13 (c) 14 (d) 15 (e) 17 Of the two-digit numbers (those from 10 to 99, both inclusive), how many have...

The number 39 + 312 + 312 + 3n is a perfect cube of an integer for natural number n equalling: (a) 12 (b) 13 (c) 14 (d) 15 (e) 17 Of the two-digit numbers (those from 10 to 99, both inclusive), how many have unit digit greater than the tens place digit? (a) 38 (b) 40 (c) 36 (d) 41 (e) 35