Question 1208311
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The range is 100, from 31 to 131; and neither 31 nor 131 is divisible by 7.  So the number of integers divisible by 7 in the given range is 100/7 = 14 (and a fraction that we don't care about).<br>
The numbers in the given range that are divisible by both 7 and 6 are the multiples of 7*6 = 42.  In the given range, there are 3 such numbers: 42, 84, and 126.<br>
So the number of integers in the given range that are divisible by 7 but not by 6 is 14-3 = 11.<br>
ANSWER: 11<br>