Of the 200 Candidates who Were Interviewed for a Position at a Call Center GMAT Problem Solving

Question: Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

1. 0
2. 10
3. 18
4. 20
5. 25

Answer: B

Solution and Explanation:

Approach Solution 1:

Given that there were 200 call centre employees, 100 of them had two-wheelers, 70 had credit cards, 140 had mobile phones, 40 of them owned both a two-wheeler and a credit card, 30 owned both a credit card and a mobile phone, 60 owned both a two-wheeler and a mobile phone, and 10 owned all three.

The following equation can be made:

Total equals two-wheeler plus credit card plus mobile phone minus doubles, triples, and neither

200 = 100 + 70 + 140 - (40 + 30 + 60) + 10 + n
200 = 310 - 130 + 10 + n
200 = 190 + n
10 = n
Response: B

Approach Solution 2:

Given that there were 200 call centre employees, 100 of them had two-wheelers, 70 had credit cards, 140 had mobile phones, 40 of them owned both a two-wheeler and a credit card, 30 owned both a credit card and a mobile phone, 60 owned both a two-wheeler and a mobile phone, and 10 owned all three.
Total candidates = 200.

So, 100 = A, 70 = B, and 140 = C, giving a total of 200.
40 = A n B (Indicating intersection with n) (Indicating intersection with n)
30 = B n C
60 = A n C
10 = A n B n C
Utilizing the formula AUBUC = A + B + C - A n B + B n C + C n A + A n B n C

you’ll get 200 = 190. So there are 10 people missing . So 10 is the correct choice.
B is the right choice.

“Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

Suggested GMAT Problem Solving Questions

• Walking at 6/7 th of his usual speed, a man is 25 min too late GMAT problem solving
• An Inlet Pipe can Fill in an Empty Cistern in 30 minutes Whereas a leak in the Bottom of the Cistern can Empty a Filled Tank in 40 minutes GMAT problem solving
• A milkman cheats his customers by adding water to the milk he sells GMAT problem solving
• if 80 lamps can be lighted, 5 hours per day for 10 days for $21.25, then the number of lamps, GMAT problem solving
• Few of the corporate contributions to the earthquake relief fund, aside from Pterocom GMAT problem solving
• The product of the first 10 prime numbers is closest to which of the following? GMAT problem solving
• There is a 120 liter mixture of alcohol and water. The ratio of alcohol to water is 7 : 5 GMAT problem solving
• An equilateral triangle ABC is inscribed in square ADEF, forming three right triangles GMAT problem solving
• A Furniture Store Sells Only Two Models of Desks, Model A and Model B. The Selling Price of Model A is $120 GMAT problem solving
• A contractor combined x tons of a gravel mixture that contained 10 percent gravel G GMAT problem solving
• There are 100 Apples in a Bag of which 98% are Green and Rest are Red GMAT problem solving
• How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution GMAT problem solving
• Jug Contains Water And Orange Juice In The Ratio 5:7 . Another Jug Contains Water And Orange J GMAT problem solving
• The number of ways in which 8 different flowers can be seated to form a garland so that 4 particular flowers are never separated GMAT problem solving
• A train travels from Albany to Syracuse, a distance of 120 miles, at an average rate of 50 miles per hour GMAT problem solving
• The hexagon ABCDEF is regular. That means all its sides are the same length and all its interior angles are the same size. GMAT problem solving
• y varies directly as x and when x = 6, y = 24. What is the value of y, when x = 5? GMAT problem solving
• If k is an Integer and 2 < k < 7, for How Many Different Values of k is There a Triangle With Sides of Lengths 2, 7, and k? GMAT problem solving
• How many factors does 36^2 have? GMAT problem solving
• A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively GMAT problem solving
• A number N^2 has 35 factors. How many factors can N have? GMAT Problem Solving
• If the Total Surface Area of a Cube is 24, What is the Volume of the Cube? GMAT Problem Solving
• There are 5,280 Feet in 1 Mile and 12 Inches in One Foot GMAT Problem Solving
• An Isosceles Right Triangle has an Area of 50. What is the Length of the Hypotenuse? GMAT Problem Solving
• A is Thrice as Good a Workman as B and Takes 10 days Less to do a Piece of Work GMAT Problem Solving
• 999,999^2−1 equals? GMAT Problem Solving
• Which of the following represents the largest 4 digit number GMAT Problem Solving
• If the expression sqrt2+2+2+2+ ... extends to an infinite number of roots GMAT Problem Solving
• How Many Different Lines Are Determined by 4 Distinct Points in a Plane If No 3 GMAT Problem Solving
• If The Diagonal of Rectangle Z is d, And The Perimeter of Rectangle Z is p GMAT Problem Solving
• What is the remainder when 333^222 is divided by 7? GMAT Problem Solving
• In a college of 300 students, every student reads 5 newspapers GMAT Problem Solving
• What is the Largest Power of 3 Contained in 200 GMAT Problem Solving
• Find The Value Of x GMAT Problem Solving
• 4 Out Of 15 Apples Are Rotten GMAT Problem Solving
• Last Year 26 Members of a Certain Club Traveled to England GMAT Problem Solving
• Running at the Same Constant Rate, 6 Identical Machines 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 GMAT Problem Solving
• After 6 games, Team B had an average of 61.5 points per game GMAT Problem Solving
• If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water GMAT Problem Solving
• A contractor estimated that his 10-man crew could complete the construction GMAT Problem Solving
• A circle is inscribed in a square with the diagonal of 4 centimeters GMAT Problem Solving
• At a dog competition, a dog is awarded 10 points if it runs through 4 pipes GMAT Problem Solving
• Two consultants, Mary and Jim, can type up a report in 12.5 hours and edit it in 7.5 hours GMAT Problem Solving
• Machine A can do a certain job in 12 days working 2 full shifts GMAT Problem Solving
• The square of \(5^\sqrt2)\ =? GMAT Problem Solving
• If 4 people are selected from a group of 6 married couples GMAT Problem Solving
• If the equation |x|+|y|= 5 encloses a certain region on the graph GMAT Problem Solving
• If x = ¾ and y = ⅖ , what is the value of (x^2+ 6x+ 9) - (y^2-2y+ 1)? GMAT Problem Solving