How many numbers between 100 and 630 are divisible by 2, 3, and 7 together? Choose the correct choice from the following options.
A) 112 B) 77 C) 267 D) 13 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 600   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 630:   630/42= 13   Hence, 42*15 = 630 is the last number divisible by 42 within 630   Hence, total numbers divisible by 2, 3, 7 together are (15 â€“ 2) = 13   ANSWER: 13
<result>D</result>
How many numbers between 100 and 630 are divisible by 2, 3, and 7 together?