consider the sets tn = { n, n + 1, n + 2, n + 3, n + 4 ), where n = 1, 2, 3, …, 96. how many of these sets contain 6 or any integral multiple thereof ( i. e., any one of the numbers 6, 12, 18, … )? Select
A) 80	B) 81	C) 82	D) 83	E) 84
<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">(5/6) * 96</gadget>
<output>80</output>

<result>A</result>
consider the sets tn = { n, n + 1, n + 2, n + 3, n + 4 ), where n = 1, 2, 3, …, 96. how many of these sets contain 6 or any integral multiple thereof ( i. e., any one of the numbers 6, 12, 18, … )?
multiply(divide(add(const_2, const_3), 6), 96)
explanation : if n = 1 , then the set t 1 = { 1 , 23 , 45 } , and it does not have 6 or any multiples . n = 2 to n = 6 has 6 in the set . n = 7 , has the set t 7 = { 7 , 89 , 1011 } , and no 6 or multiples . so 1 in every 6 members do not have 6 or multiples of 6 . so , till n = 96 , there are 16 sets of “ 6 members ” ( 16 * 6 = 96 ) and 16 sets do not have 6 or its multiples , while the remaining 80 sets have . answer : a