How many even integers n, where100<= n <= 200, are divisible neither by seven nor by nine?

1) 40
2) 37
3) 38
4) 36

• 100 < n < 200,
  No of Even integers divisible by 9 = 198-108/18 = 5
  No of even integers divisible by 7 = (196-112)/14 = 6
  No of even integers divisible by 9 and 7 = 1 [126]
  
  Total no of even integers divisible by either 9 or 7 = 5+6-1 =10
  Total no of even integers divisible by neither 9 nor 7 = 48 -10 = 38
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