Question

14, 55, 40, 39, 68, ____. the sixth number is missing from her game ticket because of a printing mistake. fae knows that the sum, s, of all six numbers is a perfect square that lies in the interval 260 < s < 320. what is the missing number?

Answer 1

15 + 55 + 40 + 39 + 68 = 217

Perfect squares between 260 and 320...
17 is the perfect square of 289 which is between 260 and 320

289 - 217 = 72

72 is the missing number.