Correct Answer - Option 4 : 92
Calculation:
When b = 1, c can take 37 values [37/1]
When b = 2, c can take 17 values [35/2]
When b = 3, c can take 11 values [33/3]
When b = 4, c can take 7 values [31/4]
When b = 5, c can take 5 values [29/5]
When b = 6, c can take 4 values [27/6]
When b = 7, c can take 3 values [25/7]
When b = 8, c can take 2 values [23/8]
When b = 9, c can take 2 values [21/9]
When b = 10, c can take 1 value [19/10]
When b = 11, 12, 13 c can take one value each.
⇒ 37 + 17 + 11 + 7 + 5 + 4 + 3 + 2 + 2 + 1 + 1 + 1 + 1 = 92
∴ Total 92 such values are possible.