Nina and Teri are playing a dice game. Each girl rolls a

stmt 1 and stmt 2 are not sufficient on their own.
Combining,
nina: 4,6 Teri: 1,2 => Nina wins
nina: -1,-2, Teri: -3,-6=> Teri wins.

Nina and Teri are playing a dice game. Each girl rolls a pair of 12-sided dice, numbered with the integers from -6 through 5, and receives a score that is equal to the negative of the sum of the two die. (E.g., If Nina rolls a 3 and a 1, her sum is 4, and her score is -4.) If the player who gets the highest score wins, who won the game?

(1) The value of the first die Nina rolls is greater than the sum of both Teri's rolls.
(2) The value of the second die Nina rolls is greater than the sum of both Teri's rolls.

Let us try to substitute values to find the answer.

Statement (1):

Nina I = 4 Teri I = 1 Teri II = 2

We don't anything more than that from the first statement. If Nina scored a negative 6 on the turn II then she will win and if she scores a negative 4 then she would lose. So statement I is insufficient.

Statement (2):

The second statement is same as the first statement.

Nina II = 4 Teri I = 1 Teri II = 2

If Nina scored a negative 6 on the turn I then she will win and if she scores a negative 4 then she would lose. So statement II is insufficient.

If we combine both the statements, then:

Nina I = 5
Nina II = 5
Teri I = 1 Teri II = 2
Then Teri wins


Nina I = 5
Nina II = 5
Teri I = 1 Teri II = 2
Then Teri wins

Nina I = -5
Nina II = -6
Teri I = -5 Teri II = -2
Then Nina wins

Hence both the statements are insufficient.

Nina and Teri are playing a dice game. Each girl rolls a pair of 12-sided dice, numbered with the integers from -6 through 5, and receives a score that is equal to the negative of the sum of the two die. (E.g., If Nina rolls a 3 and a 1, her sum is 4, and her score is -4.) If the player who gets the highest score wins, who won the game?

(1) The value of the first die Nina rolls is greater than the sum of both Teri's rolls.
(2) The value of the second die Nina rolls is greater than the sum of both Teri's rolls.


Statement 1 - Insufficient (As we do not know what would be the result of Nina's second die)
Statement 2 - Insufficient (As we do not Know what was the result of Nina's first die)

Both combined, Teri wins (as the greater the value, the more negative the score value, hence Nina will have a high negative score)

IMO C

What is the OA?

hey,
I think both the statements are sufficient as
statement 1 says nina's first die value is already greater than teri's both values.

and simililarly 2nd statement aswell..

I need help in getting to insufficient conclusion.

thanks in advance

From F.S.1
Let the value of the first die rolled by Nina be 5. Let Teri's rolls be 0 & -1.
If the second roll of Nina is -6, NO ONE wins. But if it is -5, Teri wins. NOT SUFFICIENT.

F.S. 2:

Let the value of the second die rolled by Nina be 5. Let Teri's rolls be -1 & 4.
If the first roll of Nina was -6, Nina wins. If it is 3, Teri wins. NOT SUFFICIENT.

Combining both :

first and second roll of Nina : 0 and -1.

first and second roll of Teri : -1 and -2.

Teri wins.

first and second roll of Nina : -3 and -1.

first and second roll of Teri : -3 and -1.

No one wins. NOT SUFFICIENT.

E.

Nina and Teri are playing a dice game. Each girl rolls a pair of 12-sided dice, numbered with the integers from -6 through 5, and receives a score that is equal to the negative of the sum of the two die. (E.g., If Nina rolls a 3 and a 1, her sum is 4, and her score is -4.) If the player who gets the highest score wins, who won the game?

(1) The value of the first die Nina rolls is greater than the sum of both Teri's rolls.

(2) The value of the second die Nina rolls is greater than the sum of both Teri's rolls.


I will like to add some explanation, which i think will make the understanding this question easier

let us take the sum of both Teri's rolls to be -6 (for example), therefore Teri's Score = 6
then 3 case can be there

Case 1
(1) Nina 1st rolls = -2 (not sufficient alone)
(2) Nina 2nd rolls = -2 (not sufficient alone)

sum of bot rolls = -4 , Nina's score = 4 and Teri's score = 6 therefore Teri wins

Case 2
(1) Nina 1st rolls = -3 (not sufficient alone)
(2) Nina 2nd rolls = -3 (not sufficient alone)

sum of bot rolls = -6 , Nina's score = 6 and Teri's score = 6 therefore tie, no one wins

Case 1
(1) Nina 1st rolls = -3 (not sufficient alone)
(2) Nina 2nd rolls = -4 (not sufficient alone)

sum of bot rolls = -7, Nina's score = 7 and Teri's score = 6 therefore Nina wins

we have there different results, so even both statements together are also not sufficient.
Answer choice - E

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