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 multiples the integer on the card by the next larger integer. If each possible product is between 26 and 200, then the least and greatest integers on the card could be Options.
A) 3 and 15 B) 3 and 20 C) 5 and 13 D) 4 and 14 E) 5 and 14
There child draws one number then multiplies that number by the number above it. The number must be more than 15 and less than 200.   x * (x+1)   Answer gives us choices of 3,4 and 5 (JUST ABOVE 26)   3*(3+1)= 
<gadget id="calculator">3*(3+1)</gadget>
<output>12</output>
12 &lt;- WRONG   4*(4+1)= 
<gadget id="calculator">4*(4+1)</gadget>
<output>20</output>
20 &lt;- WRONG   5*(5+1)= 
<gadget id="calculator">5*(5+1)</gadget>
<output>30</output>
30 &lt;- CORRECT AS IT IS ABOVE 26   Answer gives us choices 13,14,15 and 20 (BELOW 200)   Immediately by knowing squares you should be able to rule out 15 (225) and 20 (400). And common sense dictates that as 14^2 is 196 that 14*(14+1) is above 200.   13*(13+1)= 
<gadget id="calculator">13*(13+1)</gadget>
<output>182</output>
182 &lt;- 5 and 13ORRE5 and 13T   Answer is 5 and 13) 5 and 13
<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 multiples the integer on the card by the next larger integer. If each possible product is between 26 and 200, then the least and greatest integers on the card could be