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# Little Johnny wants to enter a B-elementary school and he

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Director
Joined: 18 Apr 2005
Posts: 549
Location: Canuckland
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Little Johnny wants to enter a B-elementary school and he [#permalink]  09 Jun 2005, 23:52
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Little Johnny wants to enter a B-elementary school and he needs to pass a mini GMAT test. The test consists of 3 questions given in a row. The questions are scored according to their difficulty levels (1,2, or 3). Wrong answers score 0. The test starts with a question of dfficulty level 2. If answered correctly the difficulty level of the next question increases by 1, and decreases by 1 if answered incorrectly, and so on. Obviously there are no further increases for 3rd level questions if answered correctly, and decreases for 1st level questions if answered incorrectly. Little Johnny may get all the scores below EXCEPT

A) 2
B) 3
C) 4
D) 5
E) 6
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Senior Manager
Joined: 14 Apr 2005
Posts: 419
Location: India, Chennai
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: PS Little Johnny [#permalink]  10 Jun 2005, 02:10
sparky wrote:
Little Johnny wants to enter a B-elementary school and he needs to pass a mini GMAT test. The test consists of 3 questions given in a row. The questions are scored according to their difficulty levels (1,2, or 3). Wrong answers score 0. The test starts with a question of dfficulty level 2. If answered correctly the difficulty level of the next question increases by 1, and decreases by 1 if answered incorrectly, and so on. Obviously there are no further increases for 3rd level questions if answered correctly, and decreases for 1st level questions if answered incorrectly. Little Johnny may get all the scores below EXCEPT

A) 2
B) 3
C) 4
D) 5
E) 6

My answer is E. Is there any other easy way except to list down the combinations. I took close to 2 minutes to write down the combination, verify and come with solution.
Senior Manager
Joined: 17 May 2005
Posts: 272
Location: Auckland, New Zealand
Followers: 1

Kudos [?]: 5 [0], given: 0

Re: PS Little Johnny [#permalink]  10 Jun 2005, 02:54
sparky wrote:
Little Johnny wants to enter a B-elementary school and he needs to pass a mini GMAT test. The test consists of 3 questions given in a row. The questions are scored according to their difficulty levels (1,2, or 3). Wrong answers score 0. The test starts with a question of dfficulty level 2. If answered correctly the difficulty level of the next question increases by 1, and decreases by 1 if answered incorrectly, and so on. Obviously there are no further increases for 3rd level questions if answered correctly, and decreases for 1st level questions if answered incorrectly. Little Johnny may get all the scores below EXCEPT

A) 2
B) 3
C) 4
D) 5
E) 6

A)He can get 2 if he gets the first question (level 2) correct and nothing else.
B)He can get 3 if he gets the first question (level 2) wrong, then gets the second (level 1) and third (level 2) questions correct.
C)He can get 4 if he gets the first question (level 2) correct, second question (level 3) wrong and third question (level 2) correct
D)He can get 5 if he gets the first question (level 2) correct and the second question (level 3) correct and third question wrong.
E)Can't find any way that he can get 6

He ca
Director
Joined: 18 Apr 2005
Posts: 549
Location: Canuckland
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: PS Little Johnny [#permalink]  10 Jun 2005, 11:30
krisrini wrote:
sparky wrote:
Little Johnny wants to enter a B-elementary school and he needs to pass a mini GMAT test. The test consists of 3 questions given in a row. The questions are scored according to their difficulty levels (1,2, or 3). Wrong answers score 0. The test starts with a question of dfficulty level 2. If answered correctly the difficulty level of the next question increases by 1, and decreases by 1 if answered incorrectly, and so on. Obviously there are no further increases for 3rd level questions if answered correctly, and decreases for 1st level questions if answered incorrectly. Little Johnny may get all the scores below EXCEPT

A) 2
B) 3
C) 4
D) 5
E) 6

My answer is E. Is there any other easy way except to list down the combinations. I took close to 2 minutes to write down the combination, verify and come with solution.

No, no shortcuts, that's why I picked 3 questions in a row, and not 4

Director
Joined: 01 Feb 2003
Posts: 854
Followers: 1

Kudos [?]: 35 [0], given: 0

Re: PS Little Johnny [#permalink]  10 Jun 2005, 14:18
sparky wrote:
krisrini wrote:
sparky wrote:
Little Johnny wants to enter a B-elementary school and he needs to pass a mini GMAT test. The test consists of 3 questions given in a row. The questions are scored according to their difficulty levels (1,2, or 3). Wrong answers score 0. The test starts with a question of dfficulty level 2. If answered correctly the difficulty level of the next question increases by 1, and decreases by 1 if answered incorrectly, and so on. Obviously there are no further increases for 3rd level questions if answered correctly, and decreases for 1st level questions if answered incorrectly. Little Johnny may get all the scores below EXCEPT

A) 2
B) 3
C) 4
D) 5
E) 6

My answer is E. Is there any other easy way except to list down the combinations. I took close to 2 minutes to write down the combination, verify and come with solution.

No, no shortcuts, that's why I picked 3 questions in a row, and not 4

The only shortcut, could be if you had started with option E (and tried to get 6 out of three questions!)
Re: PS Little Johnny   [#permalink] 10 Jun 2005, 14:18
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