+0  
 
-1
70
2
avatar

Let S be a set of 71 consecutive integers. 15 numbers in S are divisible by 5, and 11 numbers in S are divisible by 7.  How many numbers in S are divisible by 35?

 Jun 11, 2020
 #1
avatar
+1

Just 2 numbers : 35  and  70

 Jun 11, 2020
 #2
avatar+1128 
+1

The first number must start with a multiple of 5 since 71/5<15.Also the first number is divisible by 7 since 71/7<11 so there are |71/35|+1 numbers that are divisble by 35 which is 3

 Jun 11, 2020

6 Online Users