3 men -A,B and C played a Dart game.
1.Each of the dart lodged in the game board scored 1,5,10,25,50, or 100 points.
2.Each man threw 9 darts that lodged in the board.
3.Each man's total score was the same as any other man's total score.
4.No number of points scored by a dart was scored by more than 1 man.
5.A scored all the 5s and B scored all the 10s.
Who scored all the 100's?
1) A 2) B 3) C 4) Cannot be determined
1.Each of the dart lodged in the game board scored 1,5,10,25,50, or 100 points.
2.Each man threw 9 darts that lodged in the board.
3.Each man's total score was the same as any other man's total score.
4.No number of points scored by a dart was scored by more than 1 man.
5.A scored all the 5s and B scored all the 10s.
Who scored all the 100's?
1) A 2) B 3) C 4) Cannot be determined
well option 2
ReplyDeleteB wld get all the hundreds as well..
realise that since we have '1' as one of the possible values...means the total must be having a 5 at the end
and moreover it shld be havinf a group of 5(1s)
total wld be 225 each
Right answer Grim :)
ReplyDeletePlease click some of the google ads to help us
sure thing :)
ReplyDeletekindly explain the solution..i am not getting it..
ReplyDeleteKindly explain the reasoning behind it it i m not getting:-)
ReplyDeleteMoreover i m not clear with last two statements..
@Apurv
ReplyDeleteThe hint is one player gets all 5
another gets all 10s
and each of them gets the same total
and no two persons hit the same things
Now someone hits a 100, the moment he hits a 100, the gap between others is huge..
Also whoever hits 1, needs to hit 5 1s .. Hence he we are reasonably sure of the number being 225..
So just thinking of a few numbers like 125, 150.. etc I got 225
which was then cakewalk.. needed a bit of number crunching and smart guessing
hmmm........
ReplyDeleteone does agree that each of A B C must have atleast 1 point number and at max 3 diff point numbers
now said that, also realise that the group of 5(1s) can only go to either B or C...... and more over where this goes... 25 wld go to the other person.
now we knw the sum has to end in 5
so A wld score only odd multp of 5
using same logic.person to score 25 wld also score 25 an odd numer of times..
see that by using 5(1s) no matter who i give them to, tht person can use only remainging 4 shots, cause in all he has only 9 darts.
use this and the fact of odd number of 25's
u wld realise 25 shld be alone ...to give 225..
A = five 5s , four 50s
B= five 1s,two hundreds , two tens
C= nine 25s
i m nt getting what does it stand for " A scored all 5s and B scored all 10s"
ReplyDeleteIt means that all teh 5s that were scored were scored by A..
ReplyDelete