please check....VP_Jim wrote:This question is really just a confusing way of asking you:
When multipied together, what two consecutive integers are just above 15? And, when multiplied together what two consecutive integers are just below 200?
Try out some numbers --
3x4 = 12. That's less than 15, so we've violated the terms of the question (in that we'd have 12, 13, and 14 as possible values - the problem says that 15 is the lowest possible value). So, we need to go up 4x5=20. That's within our range, so 4 is the lowest possible value.
Now let's test out the high end.
14x15=210. That's too big, since 200 is the highest possible value in the game. We need to drop down to 13x14=182. 182 is within our range (under 200), so 14 (13) is the highest possible value.
So, the answer is 4 and 14 (13).
Note that the problem says that the products are "BETWEEN 15 and 200." That does NOT mean that 15 and 200 must be included - those are just the boundaries. So, in this game, the ACTUAL extreme values are 4x5=20 and 13x14=182, which are BETWEEN 15 and 200.
Tricky!
Jim, why did you automatically assume 14 must be multiplied by 15? I understand the instructions say to multiply by the next highest integer, but since it's a "deck of cards," wouldn't 14 be the highest integer (J=11, Q=12, K=13, A=14)? If so, wouldn't 14 just need to be multiplied by 14 since there is no larger integer? 14x14 = 196, which means the answer would be 4 & 14?VP_Jim wrote:This question is really just a confusing way of asking you:
When multipied together, what two consecutive integers are just above 15? And, when multiplied together what two consecutive integers are just below 200?
Try out some numbers --
3x4 = 12. That's less than 15, so we've violated the terms of the question (in that we'd have 12, 13, and 14 as possible values - the problem says that 15 is the lowest possible value). So, we need to go up 4x5=20. That's within our range, so 4 is the lowest possible value.
Now let's test out the high end.
14x15=210. That's too big, since 200 is the highest possible value in the game. We need to drop down to 13x14=182. 182 is within our range (under 200), so 13 is the highest possible value.
So, the answer is 4 and 13.
Note that the problem says that the products are "BETWEEN 15 and 200." That does NOT mean that 15 and 200 must be included - those are just the boundaries. So, in this game, the ACTUAL extreme values are 4x5=20 and 13x14=182, which are BETWEEN 15 and 200.
Tricky!
