How many numbers between 100 and 756 are divisible by 2, 3, and 7 together?  Options:  A) 112  B) 77  C) 267  D) 16  E) 99
Explanation:   As the division is by 2, 3, 7 together, the numbers are to be divisible by:  2*3*7= 
<gadget id="calculator"> 2*3*7</gadget>
<output>42</output>
42   The limits are 100 and 756   The first number divisible is 42*3= 
<gadget id="calculator">42*3</gadget>
<output>126</output>
126   To find out the last number divisible by 42 within 756:    756/42= 
<gadget id="calculator"> 756/42</gadget>
<output>18</output>
18   Hence, 42*16= 756 is the last number divisible by 42 within 756   Hence, total numbers divisible by 2, 3, 7 together are (18â€“ 2) = 16   ANSWER: 16
<result>D</result>
How many numbers between 100 and 756 are divisible by 2, 3, and 7 together?