In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 150, then the least and greatest integer on the card would be Pick:  A) 3 and 15  B) 3 and 20  C) 4 and 12  D) 4 and 14  E) 5 and 14
Given: 15&lt;x(x+1)&lt;170.   Now, it's better to test the answer choices here rather than to solve:   If x=4 then x(x+1)=20&gt;15 --&gt; so, the least value is 4. Test for the largest value: if x=12 then   x(x+1)=12*13= 
<gadget id="calculator">12*13</gadget>
<output>156</output>
156&gt;150   Answer: 4 and 12.
<result>C</result>
In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 150, then the least and greatest integer on the card would be