CAT 2018 Set Theory Question (Medium)

Question

If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

Accepted Answer

Step 1 Let total students 200 Let P students who like pizza 105 B students who like burger 134 Let x number who like both Then Only pizza P - x Only burger B - x Both x Total Only pizza Only burger Both 200 105 - x 134 - x x 200 239 - x x 39 Only burger 134 - x 134 - 39 95 So 93 is possible if both

CAT 2018

Quantitative

Set Theory

Medium

If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

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