In a carnival game, players try to toss marbles in to a milk jug. One

Question

In a carnival game, players try to toss marbles in to a milk jug. One point is awarded when a marble hits the jug without going in, two points are awarded when a marble goes into the jug, and no points are awarded when a marble misses the jug completely. If Maurice scored m points while playing the game, is m odd?

(1) Exactly three of Maurice's marbles hit the jug without going in.

(2) Exactly five of Maurice's marbles went into the jug.

(1) Exactly three of Maurice's marbles hit the jug without going in.

(2) Exactly five of Maurice's marbles went into the jug.

NandishSS · Answer

One point is awarded when a marble hits the jug without going in

(1) Exactly three of Maurice's marbles hit the jug without going in.

Gives us odd irrespective of marble goes into the jug bcoz odd + even = odd

Hence Suff

(2) Exactly five of Maurice's marbles went into the jug

two points are awarded when a marble goes into the jug

10 points but what if 1 marble is hit the jug without going in so no info about it

Hence A

Akash720 · Answer

when a marble hits the jug without going in, X = 1 Point
when a marble goes into the jug, Y = 2 Points

Statement 1:
3 times X = 3 Points, which is Odd. Sufficient
Statement 2:
5 times Y = 10 Points, which is even. Sufficient

Hence D

NandishSS · Answer

Correct me if I'm wrong

Akash720 · Answer

Correct me if I'm wrong

Question has mentioned only two conditions. So I don't think assuming a case, in which there are any points if marble hits the jug and goes in would be correct.

sudarshan22 · Answer

Akash720 
Statement 1) and 2) can never have two different values i.e, even and odd in your case, and still suffice the condition in question individually.

Akash720 · Answer

sudarshan22 
Oh okay! So how can we solve Statement 2?

Assuming two cases as NandishSS mentioned. Is it correct?

sudarshan22 · Answer

That should do, his reasoning is better. St 1) Score = Odd Therefore either score or no score for remaining hits, the o/p will still be odd, i.e O + E = O Sufficient St 2) Score = Even But you have no detail on remaining hits and miss, could be even or be odd. Insufficient Hence, A . But, please correct me if I am wrong ehh

gvij2017 · Answer

Question stem: 
2A+B=M

A is no of toss when marble get into jug 
B is no of toss when marble just touch the jug without going into it

Statement 1
B = 3 
so e+o= o 
Sufficient.

Statement 2 
A= 5 
e+o= o
e+e= e 
Not sufficient.

A is answer.

Archit3110 · Answer

#1
exactly three hit jug = 3 points ; odd so now any hit if it goes inside will give even points odd+even ; odd
sufficient
#2
Exactly five of Maurice's marbles went into the jug
so we have even value but what if 1 hits jug so total will be odd 
insufficient
IMO A

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In a carnival game, players try to toss marbles in to a milk jug. One

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