A certain game requires a player to...

[euro]

A certain game requires a player to roll a standard six-sided die. If a player rolls even numbers six times more often than he rolls odd numbers, how many times did he roll even numbers?

(1) The player rolled the die a total of 30 times.

(2) The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.

[sumit.sinha]

A certain game requires a player to roll a standard six-sided die. If a player rolls even numbers six times more often than he rolls odd numbers, how many times did he roll even numbers?

(1) The player rolled the die a total of 30 times.

(2) The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.

IMO B
(1) 5 ODD and 25 EVEN OR 4 ODD and 26 EVEN
(2) 4 ODD and 22 EVEN

[euro]

A certain game requires a player to roll a standard six-sided die. If a player rolls even numbers six times more often than he rolls odd numbers, how many times did he roll even numbers?

(1) The player rolled the die a total of 30 times.

(2) The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.

IMO B
(1) 5 ODD and 25 EVEN OR 4 ODD and 26 EVEN
(2) 4 ODD and 22 EVEN

Sumit please elaborate.. i am not able to comprehend.
Thanks in advance

[puneetdua]

IMO answer shd be A -

1) If a player rolls even numbers six times more often than he rolls odd numbers,

i think it is saying player has thrown X number time ODD and X+6 Even , becauase it is saying 'six times more often than he rolls odd numbers'

So x+(X+6) = 30 we can get the even number of throws.


{If we take it x + 6x = 30, then it doesnt give any solution , or proper number, so it is X+(X+6)}


2) The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.

Odd - 46 -> 46*2 - > 92
Even - 1 -> 4 > 4

92 + 4 -> 96


What is the OA ?



or 4 ODD 22 Even as Sumit said

So not sufficient.

[euro]

The official answer is (D) EACH statement ALONE is sufficient.

In my opinion, PUNEET has been able to comprehend the question's language correctly.
Guys, it says "... player rolls even number six times more often than he rolls odd numbers... "

I think Puneet was correct at writing x+(x+6) =30 {From statement (1)}
this gives 12 Odd and 18 Even rolls.

On similar lines, for statement (2) we get:
[x*2]+[(x+6)*4] = 96
or 2x+4x = 72
or x = 12 , no of odd rolls AND x+6=18 no. of even rolls

Good job Puneet!

IMO answer shd be A -

1) If a player rolls even numbers six times more often than he rolls odd numbers,

i think it is saying player has thrown X number time ODD and X+6 Even , becauase it is saying 'six times more often than he rolls odd numbers'

So x+(X+6) = 30 we can get the even number of throws.


{If we take it x + 6x = 30, then it doesnt give any solution , or proper number, so it is X+(X+6)}


2) The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.

Odd - 46 -> 46*2 - > 92
Even - 1 -> 4 > 4

92 + 4 -> 96


What is the OA ?



or 4 ODD 22 Even as Sumit said

So not sufficient.

[Ian Stewart]

The official answer is (D) EACH statement ALONE is sufficient.

In my opinion, PUNEET has been able to comprehend the question's language correctly.
Guys, it says "... player rolls even number six times more often than he rolls odd numbers... "

I think Puneet was correct at writing x+(x+6) =30 {From statement (1)}
this gives 12 Odd and 18 Even rolls.

If that is the interpretation the question writer intends, then the wording of the question is bad. If something happens 'six times more often' than something else, then we're certainly dealing with multiplication, not addition (and if that's the intended meaning, it really ought to say 'six times *as* often' for the interpretation to be clear). If we're supposed to think he rolled an odd number x times, and an even number x+6 times, the question should instead say "If the player rolled six more even numbers than odd numbers" or something similar to that. It doesn't seem to be a well-designed question (though I agree that the answer would be D if you interpret it as Puneet has). Where is it from?

[euro]

If that is the interpretation the question writer intends, then the wording of the question is bad. If something happens 'six times more often' than something else, then we're certainly dealing with multiplication, not addition (and if that's the intended meaning, it really ought to say 'six times *as* often' for the interpretation to be clear). If we're supposed to think he rolled an odd number x times, and an even number x+6 times, the question should instead say "If the player rolled six more even numbers than odd numbers" or something similar to that. It doesn't seem to be a well-designed question (though I agree that the answer would be D if you interpret it as Puneet has). Where is it from?

Ian,

The problem is not from any of the popular GMAT books. A friend of mine preparing for GMAT brought it up to me and I posted it here. Though the solution is not very tough, the problem is not very well worded and the language is confusing. Was wondering if something like this can happen on the real test also?

[Ian Stewart]

Ian,

The problem is not from any of the popular GMAT books. A friend of mine preparing for GMAT brought it up to me and I posted it here. Though the solution is not very tough, the problem is not very well worded and the language is confusing. Was wondering if something like this can happen on the real test also?

Oh, I see. Real GMAT questions are always worded with absolute precision; there's an extensive editing process to ensure this. A test question would not be fair if it were open to different interpretations. So you won't encounter any ambiguous questions on test day.