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Given below is the diagram which represents various sports played by the students. Based on the diagram find the number of girls who neither play hockey nor football
From the given diagram, we can see that '6' is neither included in the triangle nor the rectangle, implying 6 girls don't participate in hockey or football.
Therefore, the correct option is A.
Given below are two statements :
Statement I: If 'some students are intelligent' is true, then 'some students are not intelligent' is also true.
Statement II: If 'all logicians are mathematician' is true, then 'some non-mathematicians are not logicians' will be true.
In the light of the above statements, choose the correct answer from the options given below.
Statement I is false because some students are intelligent implies two cases: 1. all the students are intelligent. 2. some students are not intelligent.
Any of these can be correct. Hence, statement 1 is also false.
Statement II is true since all the logicians are mathematicians, which implies that all the non-mathematicians can't be logicians, which implies some non-mathematicians are not logicians.
The correct option is D.
If 'All sweet things are fluids' and 'Some fluids are coloured things', then it implies -
A. Some sweet things are coloured things
B. Some sweet things are fluids
C. All fluids are sweet things
D. Some fluids are sweet things
Choose the most appropriate answer from the options given below:
This is a previous year question, which is wrong in the question paper itself. But the correct answer is B,D.
Out of 400 students who attended a seminar, 240 opted for written exam, 200 opted for presentations, 160 opted for assignments and 20 did not opt for giving any of the three methods of test. 200 students had exactly one of the three methods of test.
How many students opted for exactly two of the three testing methods?
20 did not appear for any of the three methods. Hence, the total number of students who appeared in the tests (400-20) = 380.
(240+160+200)=600 students
=> Exactly I + 2 (Exactly II) + 3(Exactly III) => 2(Exactly II) + 3 (Exactly III) = 400
Exactly I +Exactly II + Exactly III = 380
Exactly II + Exactly III = 180 .......equation (i)
=> 2(Exactly II) + 2(Exactly III) = 360 .......equation (ii)
Subtracting equations (ii) by (i)
=> Exactly III = 40
Therefore, Exactly II = 180-40 = 140.
Hence, the correct option is A.
Set Theory Questions are an important topic in the Quantitative Aptitude section of CMAT 2027. These questions assess a candidate's understanding of sets, subsets, unions, intersections, complements, and the relationships between different groups of elements. Candidates are expected to apply fundamental set theory concepts to solve problems involving Venn diagrams, counting techniques, and logical reasoning. A strong grasp of Set Theory enhances analytical thinking and helps in solving a variety of mathematical and reasoning problems efficiently. Aspirants preparing for the CMAT 2027 Exam should study this topic thoroughly as part of the CMAT Syllabus to strengthen their Quantitative Aptitude preparation.
Regular practice of Set Theory Questions helps candidates improve logical analysis, understand relationships between sets, and solve counting problems with greater accuracy. Since Set Theory concepts are often applied in Venn Diagrams, Probability, and Combinatorics, mastering this topic can strengthen overall problem-solving skills. Solving questions from CMAT Previous Papers helps candidates understand the variety and difficulty level of Set Theory questions that may appear in the exam. Additionally, attempting a CMAT Mock Test enables aspirants to evaluate their preparation, improve time management, and build confidence for CMAT 2027.
Yes, Set Theory is an important topic in the Quantitative Aptitude section of CMAT. It helps candidates solve problems involving sets, Venn diagrams, counting techniques, and logical relationships efficiently.
The number of Set Theory questions varies from year to year. CMAT does not prescribe a fixed number of questions from any specific Quantitative Aptitude topic.
CMAT may include questions on sets and subsets, unions and intersections, complements, cardinality of sets, Venn diagrams, and applications of set theory in counting and logical reasoning.
Learn the fundamental concepts of sets, practice Venn diagram-based problems, understand set operations thoroughly, and solve previous year questions and mock tests to improve speed and accuracy.
Most Set Theory questions in CMAT are of easy to moderate difficulty. With conceptual clarity and regular practice, candidates can solve them accurately and efficiently.
Cracku's CMAT Set Theory Questions provide topic-wise practice, detailed solutions, and exam-oriented exercises that help candidates strengthen concepts, improve accuracy, and perform better in CMAT 2027.
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