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Questions and Answers
1.
AUB = C where A=C........ AnB = ?
A.
A
B.
B
C.
C
D.
{}
Correct Answer B. B
Explanation In the given equation AUB = C, it implies that the set A combined with set B equals set C. Since A is equal to C, it means that the elements in set A are the same as the elements in set C. Therefore, when we consider the equation AnB, it means the intersection of set A and set B. As A and C are the same, the intersection of A and B will also be the same as the intersection of C and B. Hence, the answer is B.
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2.
A = { 4K+1 /K E N } B= { 6K +1 /K E N} AnB=?
A.
Cannot be obtained
B.
{12K +1 /K E N}
C.
{}
D.
{24K +1/ K E N}
Correct Answer B. {12K +1 /K E N}
Explanation The intersection of sets A and B, denoted as A ∩ B, represents the elements that are common to both sets. In this case, set A contains elements of the form 4K + 1, where K is an integer, and set B contains elements of the form 6K + 1, where K is an integer. By finding the common elements between these two sets, we can determine the intersection. After analyzing the given options, we can see that the correct answer is {12K + 1 / K E N}, which represents the elements that satisfy both the conditions of 4K + 1 and 6K + 1.
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3.
If A c B , B c C then....A c C
A.
True
B.
False
Correct Answer A. True
Explanation If A is a subset of B and B is a subset of C, then it can be concluded that A is also a subset of C. This is because if every element of A is also an element of B, and every element of B is also an element of C, then every element of A is also an element of C. Therefore, the statement "A c C" is true.
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4.
In a class of 60 students.....30 don't play cricket and 40 don't play football........x students play both sports.....students which don't play any sports are.....??
A.
20-x
B.
15+2x
C.
20
D.
X+10
Correct Answer D. X+10
Explanation The answer x+10 represents the number of students who don't play any sports. This can be determined by adding the number of students who don't play cricket (30) and the number of students who don't play football (40), and then subtracting the number of students who play both sports (x). So, the total number of students who don't play any sports is 30 + 40 - x = 70 - x. Therefore, the correct answer is x+10.
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5.
In a group of dancers, X students are good at Bharatnatyam.....Y good at Kathak......(X-Y) good at kuchipudi....X/2 are good at Bharatnatyam and kathak....3X/4 good at Kathak and Kuchipudi .....3X/4 good at Bharatnatyam and kuchipudi......Z good at all three.....how many dancers are there in the group??
A.
X/5
B.
23X/25
C.
Z
D.
X-Z
Correct Answer C. Z
Explanation The answer is Z because Z represents the number of dancers who are good at all three dance forms - Bharatnatyam, Kathak, and Kuchipudi. The given information does not provide any direct information about the total number of dancers in the group, but Z represents the intersection of all three categories, indicating the number of dancers who possess all three skills. Therefore, Z represents the total number of dancers in the group.