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In a college 200 students are randomly chosen. 140 like tea and 120 like Coffee and 70 like both tea and coffee. How many like neither tea nor coffee?
Tea - A, Coffee - B
n(A $$ \cup $$ B) = n(A) + n(B) - n (A $$ \cap $$ B)
n(A $$ \cup $$ B) = 140 + 120 - 70 = 190
Number of students who like tea or coffee = 190
Therefore, number of students who like neither tea nor coffee = 200 - 190 = 10
Answer is option D.
Yes, Venn Diagrams is an important topic in the Logical Reasoning section of CMAT. It assesses a candidate's ability to interpret relationships between sets and solve analytical reasoning problems efficiently.
The number of Venn Diagrams questions varies each year. CMAT does not prescribe a fixed number of questions from this Logical Reasoning topic.
CMAT may include questions involving two-set and three-set Venn diagrams, overlapping groups, unions, intersections, exclusive sets, and logical interpretation of given data.
Understand the fundamentals of set theory and Venn diagrams, practice different question types regularly, improve diagram interpretation skills, and solve previous year questions and mock tests for better accuracy.
Most Venn Diagrams questions in CMAT are of easy to moderate difficulty. With regular practice and a clear understanding of set relationships, candidates can solve them accurately and quickly.
Cracku's CMAT Venn Diagrams Questions provide topic-wise practice, detailed solutions, and exam-oriented problems that help candidates improve logical reasoning, accuracy, and speed for CMAT 2027.
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