Problem Solving

On a test, students receive 3 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?

-2

-1

0

1

2

Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.


On a test, students receive 3 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?

A. -2

B. -1

C. 0

D. 1

E. 2




To get minimum score the student should have as few as possible correct answers. That means the student should have as many as possible incorrect answers. Since among 6 questions only 1 question has correct answer is C, the student should mark it as B to have as many as incorrect answers. That means the question with correct answer C should be among the first 3 questions. So among the first 3 questions the student should answer only 2 questions correctly and the last 3 questions incorrectly. In that case the number of correct answer is 2, and the number of incorrect answer is 4. So the score is 2*3 -4*1=2. The answer is E.




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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.


On a test, students receive 3 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?

A. -2

B. -1

C. 0

D. 1

E. 2




To get minimum score the student should have as few as possible correct answers. That means the student should have as many as possible incorrect answers. Since among 6 questions only 1 question has correct answer is C, the student should mark it as B to have as many as incorrect answers. That means the question with correct answer C should be among the first 3 questions. So among the first 3 questions the student should answer only 2 questions correctly and the last 3 questions incorrectly. In that case the number of correct answer is 2, and the number of incorrect answer is 4. So the score is 2*3 -4*1=2. The answer is E.




Math Revolution : Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World's First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Unlimited Access to over 120 free video lessons - try it yourself (https://www.mathrevolution.com/gmat/lesson)
See our Youtube demo (https://www.youtube.com/watch?v=R_Fki3_2vO8)