AbdurRakib wrote:
A lottery game requires the entrant to select any 7-digit number. The contestant wins prize money based on the number of digits selected that match the winning 7-digit number. The grand prize, awarded to anyone who guesses all 7 digits correctly, is $2,200. Exactly how many correct numbers did Anna pick in the lottery game?
(1) Anna won $770
(2) If the contestant had picked one more correct number, she would have increased her winnings by $440.
Dear
AbdurRakib,
I'm happy to help.
I believe this question is poorly written.
First of all, the amounts.
7 correct digits = 100% = $2200
We know that
50% = $1100
10% = $220
5% = $110
Thus, 5-6 correct digits = 55% = $1100 + $110 = $1210
3-4 correct digits = 35% = 30% + 5% = 3*($220) + $100 = $770
1-2 correct digits = 15% = 10% + 5% = $220 + $110 = $330
Statement #1:
Anna won $770We know that Anna is in the 3-4 digit category, but she might have had 3 digits correct or four digits correct.
Statement #2:
If the contestant had picked one more correct number, she would have increased her winnings by $440.The contestant could move from $330 to $770 or from $770 to $1210. She could have 2 or 4 correct.
Combined: she must have 4 correct. Both statements are
sufficient. OA =
(C) What I find deeply problematic about this question is the wording "
the contestant." Since we are talking about a specific contestant, presumably we are talking about Anna, the only specific contestant named. This poor wording introduces unnecessary ambiguity into the problem.
Here's a high quality question:
Square and Triangle, Same AreaDoes all this make sense?
Mike