How many positive integers less than 100 are neither multiples of 2 or 3?  Choose the correct option
A) 30
B) 31
C) 32
D) 33
E) 34
1) multiples of 2 till 100 = 100/2= 
<gadget id="calculator">100/2</gadget>
<output>50</output>
50   2) multiples of 3 till 100= 100/3 = 33.33= 33   add the two 50+33= 
<gadget id="calculator">50+33</gadget>
<output>83</output>
83 ;   subtract common terms that are multiple of both 2 and 3..   LCM of 2 and 3= 6   Multiples of 6 till 100 = 100/6 = 16.66 = 16   so total multiples of 2 and 3 = 83-16= 
<gadget id="calculator">83-16</gadget>
<output>67</output>
67   100-67= 
<gadget id="calculator">100-67</gadget>
<output>33</output>
33   Answer : 33
<result>D</result>
How many positive integers less than 100 are neither multiples of 2 or 3?