How many positive integers less than 100 are neither multiples of 4 or 5.  Choose the correct choice from the following answers:
A) a)30	B) b)60	C) c)32	D) d)33	E) e)34
To answer this Q we require to know   1) multiples of 4 till 100 = 100/4= 
<gadget id="calculator">100/4</gadget>
<output>25</output>
25   2) Multiples of 5 till 100= 100/5= 
<gadget id="calculator">100/5</gadget>
<output>20</output>
20   add the two 25+20= 
<gadget id="calculator">25+20</gadget>
<output>45</output>
45 ; subtract common terms that are multiple of both 4 and 5..   LCM of 4 and 5= 20   Multiples of 20 till 100 = 100/20= 
<gadget id="calculator">100/20</gadget>
<output>5</output>
5=   so total multiples of 4 and 5 = 45-5= 
<gadget id="calculator">45-5</gadget>
<output>40</output>
40   ans= 100-40= 
<gadget id="calculator">100-40</gadget>
<output>60</output>
60   b)60
<result>B</result>
How many positive integers less than 100 are neither multiples of 4 or 5.