5th day: Solve this interesting problem

I want you to try these problems I post daily. Thanks to all who join. Happy problem solving.

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

It is A! The total number of points distributed between the players is 30 since 15 games are played altogether. From the given information A gets 6 points, B gets 8, C gets 4, D and F -2 and E gets 4. The remaining 6 points have to be won by D so that it is at 3rd position and moves to the final round.

Revanth Chetluru - 8 years, 1 month ago

Answer is (A).i worked it out on paper :D

Tan Li Xuan - 8 years, 1 month ago

then elaborate....:)

Sayan Chaudhuri - 8 years, 1 month ago

OK.... since A won 6 points,A must have won 3 games.And B won 8 points,hence it won against every team it played up till now.Then,as D won against A,E won against B and F won against C,we can find that B has won against A,C,D and F.So B's final score is 8.Then,as we can see,A lost 2 of 5 games.One of them is to D.As B only lost to E,B won against A,so A has a total of 6 points.From that ,we can see that C lost to A,B and F.Hence C's score is 4.Now D has to score 6 in total to go to the final.As D only won against A up till now,and lost to B and C,D must have won against E and F.If you can construct a table showing the result,it's not hard to find the final score.

Tan Li Xuan - 8 years, 1 month ago

The answer is (A).

Aditya Parson - 8 years, 1 month ago

THANKS ALL........FOR ALL JOINING THIS PROBLEM DISCUSSION .......THE RIGHT ANSWER IS (A)......... TO MY BEST ASSUMPTION......AGAIN THANKS TO ALL.....:)

Sayan Chaudhuri - 8 years, 1 month ago

A.. :D

Okky Sugianto - 8 years, 1 month ago

Because E won against F E must have 2 more than F so the answer is A.

Samuel Queen - 8 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$