A lottery game requires the entrant to select any 7-digit number. The

Question

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.

(1) Anna won $770

(2) If the contestant had picked one more correct number, she would have increased her winnings by $440.

Divyadisha · Answer

Statement 1 told that Anna won 35% of the total amount. She could have picked 3 or 4. Not Sufficient.

Statement 2 told that if Anna had picked 1 more number she could have won 20% more of the amount. She could have picked 2 or 4. Not Sufficient.

Combining both statements, we get a unique number 4. Sufficient.

mikemcgarry · Answer

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 $770 We 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 Area Does all this make sense? Mike :-)

rohit8865 · Answer

770 is what % of 2200
770=A*2200/100 (let it be A %)
A=35%
35% falls under category for number 3-4
(1) number could be 3 or 4.Not suff.
(2) adding 1 to number2/ 4/6 will take her to next level 
where as adding 1 to number 1/3/5 will be 2/4/6 which is same level of %age winning
Combining both we get only adding 1 to number 4 will take her to next level of winning %age

Ans C

ronnieshee · Answer

mikemcgarry   AbdurRakib

Hello,

I am not being able to understand, that how could we infer about percentages in this problem? By reading the question, it feels that for getting 7 correct the amount is 2200. Nowhere is it mentioned that for getting different number of digits correct,the prize is different or unequal. For eg, for 2200 if 7 is correct, then for 1 correct it should be 2200/7.

now getting 770(35%) out of 2200 is not possible. Cause the values that one can get is (2200/7)*1 OR (2200/7)*2 OR (2200/7)*3 etc ....

Please correct if my understanding is wrong.

TPW · Answer

Same issue please someone throw some light  Bunuel

Posted from my mobile device

oekiz · Answer

I think it is related to the probability of having x number of matching digits.

For instance; 
Probability of matching 7 digits is the lowest percentage (p = 1/9*10^6) but 1-p = 100% of the price-winner,
Probability of matching one digit is the highest percentage but lowest percent of the price.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

A lottery game requires the entrant to select any 7-digit number. The

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

GMAT Data Sufficiency (DS) Questions

A lottery game requires the entrant to select any 7-digit number. The

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia