horrorslive
in a certain football tournament, Champs had set a target for themselves of winning at least 35 games. They won only 40% of their first n games and now they need to win all their remaining games to achieve their target. how many games are yet to be played? 1. Champs will play a total of 50 games 2. of their remaining games , if they were to win only 10 games, they would have lost 60% of their games played.
Interesting question. I will give it a try

Now we know as per the data that Champs want to have total wins >= 35 ( minimum is 35) Let the total games be= T & For the first "n" games, they won 0.4n and lost 0.6n, so remaining games = T-n What we really want to find here is " T-n " i.e how many games are yet to play. Now they need to win 100% of (t-n) to reach at least 35 wins as per their goal. So we can form an equation here: 0.4n +T-n = 35, So, T-0.6n= 35 ............. (1) Statement (1): T=50, If you plug in T in (1) you can easily get n and hence T-n could be found out. Statement 1 is sufficient. Statement (2): Now this is the tricky part here I feel. If they win 10 games of T-n then they would have lost 60% of total games played or won 40%. Lets take the aspect of winning: 10+ 0.4n = (40/100) * T If you simplify this further, 10+0.4n= 0.4T, so, 0.4T-0.4n= 10, T-n= 10/0.4= 25, So we have got our T-n, hence Statement 2 is also sufficient. IMO, D is the answer.
Please let me know if there is an official solution to this