When positive integer n is divided by 3, the remainder is 2. When n is divided by 7, the remainder is 6. How many values less than 100 can n take?	Pick one.
A) 0	B) 2	C) 3	D) 6	E) 5
a quick approac to this Q is..   the equation we can form is.. 3x+2=7y+5..   3x-3=7y... 3(x-1)=7y...   so (x-1) has to be a multiple of 7 as y then will take values of multiple of 3..   here we can see x can be 1,8,15,22,29 so 5 values till 100 is reached   as   (29-1)*3= 
<gadget id="calculator">  (29-1)*3</gadget>
<output>84</output>
84 and next multiple of 7 will be 84+21&gt;100..   ans 6.. 6
<result>D</result>
When positive integer n is divided by 3, the remainder is 2. When n is divided by 7, the remainder is 6. How many values less than 100 can n take?