MBA in India - CAT, XAT entrance exam sample practice problems - Set Theory
Ascent Education - TANCET, MBA Entrance Training Classes
 
Latest News LATEST NEWS
Ascent Success Stories
TANCET 16 Classes @ ChennaiXAT 16 Classes @ Chennai
Connector
Ascent's Courses
 
Contact Us
+91 44 4500 8484
+91 96000 48484

Set Theory - Quant/Math - CAT 2016

Question 4 the day: February 28, 2005

The CAT Practice question for the day is from the topic Set Theory.

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) 20
(3) 10
(4) 18
Correct choice (3). Correct Answer - 10

Solution:

Number of candidates who had none of the three = Total number of candidates - number of candidates who had at least one of three devices.

Total number of candidates = 200.

Number of candidates who had at least one of the three = A U B U C, where A is the set of those who have a two wheeler, B the set of those who have a credit card and C the set of those who have a mobile phone.

We know that AUBUC = A + B + C - {A n B + B n C + C n A} + A n B n C
Therefore, AUBUC = 100 + 70 + 140 - {40 + 30 + 60} + 10
Or AUBUC = 190.

As 190 candidates who attended the interview had at least one of the three gadgets, 200 - 190 = 10 candidates had none of three.



XLRI XAT TANCET Practice Question Samples



 

Quick Links

TANCET Questionbank  
TANCET MBA MCA Practice Questions with detailed explanation and shortcuts. TANCET Sample Questions

GMAT Math Books  
Comprehensive study material for GMAT Quant. 1800+ questions. GMAT Quant Books

CAT Online Course  
2IIM's Online CAT Course.Try it free

GMAT Diagnostic Test  
Free GMAT Online Diagnostic Test with video explanation. Take the test!

CAT Discussion Forum  
CAT Prep Doubts
Which B Schools to apply?
GD / PI Forums

GMAT Math Lesson Book | SAT prep | GRE Classes @ Chennai | GMAT Coaching @ Chennai | TANCET Mailing List
© 2002 - 17 ASCENT Education all rights reserved. Terms & Condition | Privacy Policy