On a Test, a Student Scores +4 Points for Each Correct Answer GMAT Problem Solving

Question: On a test, a student scores +4 points for each correct answer and -2 points for each incorrect answer. Jack attempt 20 questions and found that his score would have been 44 if he had got two more questions correct. How many questions did Jack get incorrect?

1. 6
2. 8
3. 10
4. 12
5. 14

Answer:
Solution with Explanation:
Approach Solution (1):

Let the number of questions the student gets correct be x

Since the total questions he answers is 20, the number of questions he gets incorrect is 20 – x
Since the score the student scores is 44, if the student answered 2 more questions correctly,
The equation formed will be 4(x + 2) – 2(20 – x – 2) = 44

4(x + 2) – 2(18 – x) = 44
4x + 8 – 36 + 2x = 44
6x = 72
x = 12

Therefore, the student answers 8(20 – x) question incorrectly

Correct Option: B

Approach Solution (2):

Let Jack’s desired number of correct question = x and
Incorrect questions = 20 – x
Now
4x – 2(20 – x) = 44
Solving x = 14
So original correct question = 12
Incorrect questions = 8

Correct option: B

Approach Solution (3):

We can let c = the number of correct questions answered and w = the number of incorrect question answered.
Thus:
c + w = 20
w = 20 – c
And
4(c + 2) – 2(w – 2) = 44
4c + 8 – 2w + 4 = 44
4c – 2w = 32
2c – w = 16
Thus:
2c – (20 – c) = 16
2c – 20 + c = 16
3c = 36
c = 12
Thus, w = 20 – 12 = 8

Correct Option: B

“On a test, a student scores +4 points for each correct answer and -2 points for each incorrect answer. Jack attempt 20 questions and found that his score would have been 44 if he had got two more questions correct. How many questions did Jack get incorrect?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Suggested GMAT Problem Solving Samples

• What Is The Circumference Of The Semicircle In The Figure Shown? GMAT Problem Solving
• In a Trapezium ABCD, AB Is Parallel To DC, AB = 3*DC, And The Diagonals Of The Trapezium Intersect At O GMAT Problem Solving
• A Bag Contains 5 Red Balls And Some Blue Balls GMAT Problem Solving
• A Small Water Pump Would Take 2 Hours To Fill An Empty Tank GMAT Problem Solving
• ABCD Is An Isosceles Trapezium GMAT Problem Solving
• An Equilateral Triangle is Constructed on Each Side of a Square GMAT Problem Solving
• For A Negative Integer x, What Is The Value Of x * √(x^2)? GMAT Problem Solving
• Five Letters Are To Be Placed Into Five Addressed Envelopes GMAT Problem Solving
• Find The Number Of Trailing Zeros In The Product Of (1^1) GMAT Problem Solving
• Find The Altitude Of An Equilateral Triangle Whose Side is 20 GMAT Problem Solving
• Which of the following is the value of √3√0.000064? GMAT Problem Solving
• Two Dice are Thrown Simultaneously. What is the Probability of Getting Two Numbers Whose Product is Even? GMAT Problem Solving
• The Smallest 3-Digit Positive Integer Obtained By Adding Two Positive Two-Digit Numbers GMAT Problem Solving
• Train A Leaves New York at 9am Eastern Time on Monday, Headed for Los Angeles at a Constant Rate GMAT Problem Solving
• An Express Train Traveled At An Average Speed of 100 Kilometers Per Hour GMAT Problem Solving
• If m Lies Between The Integers p and s On the Number Line Shown GMAT Problem Solving
• A Cube Of Side 7 cm Is Coloured On Pair of Opposite Faces By Red, Green and Yellow Shades GMAT Problem Solving
• If x^2 − 5x − 6 = 0, which of the following could be x ? GMAT Problem Solving
• How Many Numbers Between 1 and 1000, Inclusive Have an Odd Number of Factors? GMAT Problem Solving
• GMAT Problem Solving- Given f(x) = x/(x + 1), For What Value k Does f(f(k)) = 2/3 ?
• Which Among the Following is the Smallest 7-digit Number that is Exactly Divisible by 43? GMAT Problem Solving
• During a Trip, Francine Traveled x Percent of the Total Distance at an Average Speed of 40 Miles GMAT Problem Solving
• Which of the Following Expressions CANNOT have a Negative Value? GMAT Problem Solving
• Which of the following is greatest? GMAT Problem Solving
• The Cost Price of 20 Articles is The Same as The Selling Price of x Articles GMAT Problem Solving
• A Shop Stores x kg of Rice. The First Customer Buys half this Amount Plus half a kg of Rice GMAT Problem Solving
• In a Class of 120 Students Numbered 1 to 120, All Even Numbered Students Opt for Physics GMAT Problem Solving
• Machine A Produces bolts at a Uniform Rate of 120 Every 40 seconds GMAT Problem Solving
• Out of 7 Consonants and 4 Vowels, How Many Words of 3 Consonants and 2 Vowels Can be Formed? GMAT Problem Solving
• 4 Bells Toll Together at 9:00 A.M. They Toll After 7, 8, 11 and 12 Seconds GMAT Problem Solving
• 12 Marbles are Selected at Random from a Large Collection of White, Red, Green and Yellow Marbles GMAT Problem Solving
• Find the greatest number that will divide 43, 91 and 183 GMAT Problem Solving
• Of the 150 Houses in a Certain Development GMAT Problem Solving
• A man can hit a target once in 4 shots. If he fires 4 shots in succession GMAT Problem Solving
• If 75 Percent of a Class Answered the First Question on a Certain Test Correctly GMAT Problem Solving
• A Clock Strikes 4 taking 9 seconds. GMAT Problem Solving
• What is the Largest Power of 3 Contained in 200! GMAT Problem Solving
• Find The Value Of x GMAT Problem Solving
• GMAT Problem Solving - Which of the following expressions has the greatest values?
• GMAT Problem Solving – If @ x=x^2/2x^2-2 , What is the Units Digit of @ (@4)?
• GMAT Problem Solving – What is the product of all possible solutions of the equation |x+2|- 5|x+2| = -6?
• GMAT Problem Solving – Metropolis Corporation has 4 Shareholders
• GMAT Problem Solving – What is the number of integers from 1 to 1000, inclusive that are not divisible by 11 or by 35?
• GMAT Problem Solving – If m is Three Times n, and if 2n + 3 is 20% of 25, What is the value of m?
• GMAT Problem Solving – If Ben Were to Lose the Championship, Mike would be the Winner
• GMAT Problem Solving – A Train Travelling at a Certain Constant Speed takes 30 seconds
• GMAT Problem Solving – A conference room is equipped with a total of 45 metal or wooden chairs.
• GMAT Problem Solving – A welder received an order to make a 1 million litre cube-shaped tank.
• After 6 games, Team B had an average of 61.5 points per game GMAT Problem Solving