You may get one to two questions from sets in the GMAT quant section - in both variants viz., problem solving and data sufficiency. The concepts tested include union and intersection of 2 or 3 sets, subsets, proper subsets, and complimentary sets. Sample GMAT practice questions from set theory are given below. Attempt questions from this questionbank and check whether you have got the correct answer. If you have not got the correct answer, go to the explanatory answer or the video explanations to learn how to solve the question.
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
Step 1: Compute the number of students who opt for Physics, the number who opt for Chemistry and the number who opt for Math. Let these be n(A), n(B), and n(C) respectively.
Step 2: Compute numbers who opt for Physics and Chemistry, Chemistry and Math, and Math and Physics. The values will be n(A ∩ B), n(B ∩ C), and n(c ∩ A) respectively.
Step 3: Compute number of students who opt for all three subjects. This value will correspond to n(A ∩ B ∩ C).
Step 4: Compute number of students who opt for at least one of the three subjects - essentially n(A ∪ B ∪ C) using data from steps 1 to 3.
Step 5: Number of students who opt for none = 120 - n(A ∪ B ∪ C).
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?
Approach: Number who have none = Total - number who have at least one.
Step 1: Number who have at least one is n(A ∪ B ∪ C).
Step 2: Compute n(A ∪ B ∪ C) using the formula.
Step 3: Number who have none = 200 - n(A ∪ B ∪ C).
In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Step 1: Let the number who enrolled for English be n(A) and the number who enrolled for German be n(B).
Step 2: Because students of the class enrolled for at least one of the two subjects, n(A ∪ B) = Total number of students = 40.
Step 3: Applying n(A ∪ B) formula and using data given in the question compute n(A).
Step 4: n(Only A) = n(A) - n(A ∩ B). This is the answer to the question.
In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
Step 1: Compute n(A ∪ B) using the formula and the data given in the question.
Step 2: % of students who did not enroll for either subject = 100 - n(A ∪ B).
Register in 2 easy steps and
Start learning in 5 minutes!
Next Batch June 18, 2023
GMAT Questionbank | Number Properties
GMAT Math Questions | Inequalities
GMAT Math Questions | Set Theory
GMAT Questions | Ratio, Percent, Fractions
GMAT Sample Questions | Rates - Work, Speed
GMAT Questions | Permutation & Probability
GMAT Sample Questions | Geometry
Copyrights © 2016 - 23 All Rights Reserved by Wizako.com - An Ascent Education Initiative.
GMAT® is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.
GRE® is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.
SAT® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.
Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
14B/1 Dr Thirumurthy Nagar 1st Street
Chennai 600 034. India
Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Leave A Message
TANCET Previous Year Question Papers
NCERT Solution for Class 10 Maths
CBSE Sample Papers for class 10