How many positive integers less than 100 are neither multiples of 5 or 6.	Options
A) a)30	B) b)31	C) c)32	D) d)33	E) e)67
To answer this Q we require to know   1) multiples of 5 till 100 = 100/5= 
<gadget id="calculator">100/5</gadget>
<output>20</output>
20   2) Multiples of 6 till 100= 100/6 = 16.66= 16   add the two 20+16= 
<gadget id="calculator">20+16</gadget>
<output>36</output>
36 ; subtract common terms that are multiple of both 5 and 6..   LCM of 5 and 6= 30   Multiples of 30 till 100 = 100/30 = 3.3 = 3   so total multiples of 2 and 3 = 36-3= 
<gadget id="calculator">36-3</gadget>
<output>33</output>
33   ans= 100-33= 
<gadget id="calculator">100-33</gadget>
<output>67</output>
67   e)67
<result>E</result>
How many positive integers less than 100 are neither multiples of 5 or 6.