Operations on Set and Venn Diagram
Sets, Relation and Function

116769 If \(n(A)=43, n(B)=51\) and \(n(A \cup B)=75\), then \(\mathbf{n}[(\mathbf{A}-\mathbf{B}) \cup(\mathbf{B}-\mathbf{A})]\) is equal to

1 53
2 45
3 56
4 66
5 46
Sets, Relation and Function

116770 if \(n(A)=1000, n(B)=500\) and if \(n(A \cap B) \geq 1\) and \(n(A \cup B)=p\), then

1 \(500 \leq \mathrm{p} \leq 1000\)
2 \(1001 \leq \mathrm{p} \leq 1498\)
3 \(1000 \leq \mathrm{p} \leq 1498\)
4 \(999 \leq \mathrm{p} \leq 1499\)
5 \(1000 \leq \mathrm{p} \leq 1499\)
Sets, Relation and Function

116771 If \(n(A)=8\) and \(n(A \cap B)=2\), then \(n((A \cap B) \cap\)
A) is equal to

1 2
2 4
3 6
4 8
5 10
Sets, Relation and Function

116772 There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then, the number of students failing in all the three subjects.

1 is 12
2 is 4
3 is 2
4 cannot be determined from the given information
Sets, Relation and Function

116769 If \(n(A)=43, n(B)=51\) and \(n(A \cup B)=75\), then \(\mathbf{n}[(\mathbf{A}-\mathbf{B}) \cup(\mathbf{B}-\mathbf{A})]\) is equal to

1 53
2 45
3 56
4 66
5 46
Sets, Relation and Function

116770 if \(n(A)=1000, n(B)=500\) and if \(n(A \cap B) \geq 1\) and \(n(A \cup B)=p\), then

1 \(500 \leq \mathrm{p} \leq 1000\)
2 \(1001 \leq \mathrm{p} \leq 1498\)
3 \(1000 \leq \mathrm{p} \leq 1498\)
4 \(999 \leq \mathrm{p} \leq 1499\)
5 \(1000 \leq \mathrm{p} \leq 1499\)
Sets, Relation and Function

116771 If \(n(A)=8\) and \(n(A \cap B)=2\), then \(n((A \cap B) \cap\)
A) is equal to

1 2
2 4
3 6
4 8
5 10
Sets, Relation and Function

116772 There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then, the number of students failing in all the three subjects.

1 is 12
2 is 4
3 is 2
4 cannot be determined from the given information
Sets, Relation and Function

116769 If \(n(A)=43, n(B)=51\) and \(n(A \cup B)=75\), then \(\mathbf{n}[(\mathbf{A}-\mathbf{B}) \cup(\mathbf{B}-\mathbf{A})]\) is equal to

1 53
2 45
3 56
4 66
5 46
Sets, Relation and Function

116770 if \(n(A)=1000, n(B)=500\) and if \(n(A \cap B) \geq 1\) and \(n(A \cup B)=p\), then

1 \(500 \leq \mathrm{p} \leq 1000\)
2 \(1001 \leq \mathrm{p} \leq 1498\)
3 \(1000 \leq \mathrm{p} \leq 1498\)
4 \(999 \leq \mathrm{p} \leq 1499\)
5 \(1000 \leq \mathrm{p} \leq 1499\)
Sets, Relation and Function

116771 If \(n(A)=8\) and \(n(A \cap B)=2\), then \(n((A \cap B) \cap\)
A) is equal to

1 2
2 4
3 6
4 8
5 10
Sets, Relation and Function

116772 There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then, the number of students failing in all the three subjects.

1 is 12
2 is 4
3 is 2
4 cannot be determined from the given information
Sets, Relation and Function

116769 If \(n(A)=43, n(B)=51\) and \(n(A \cup B)=75\), then \(\mathbf{n}[(\mathbf{A}-\mathbf{B}) \cup(\mathbf{B}-\mathbf{A})]\) is equal to

1 53
2 45
3 56
4 66
5 46
Sets, Relation and Function

116770 if \(n(A)=1000, n(B)=500\) and if \(n(A \cap B) \geq 1\) and \(n(A \cup B)=p\), then

1 \(500 \leq \mathrm{p} \leq 1000\)
2 \(1001 \leq \mathrm{p} \leq 1498\)
3 \(1000 \leq \mathrm{p} \leq 1498\)
4 \(999 \leq \mathrm{p} \leq 1499\)
5 \(1000 \leq \mathrm{p} \leq 1499\)
Sets, Relation and Function

116771 If \(n(A)=8\) and \(n(A \cap B)=2\), then \(n((A \cap B) \cap\)
A) is equal to

1 2
2 4
3 6
4 8
5 10
Sets, Relation and Function

116772 There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then, the number of students failing in all the three subjects.

1 is 12
2 is 4
3 is 2
4 cannot be determined from the given information