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Question 1
In an examination, 70% students passed in Physics, 80% students passed in Chemistry, 75% students passed in Mathematics and 85% students passed in Biology, and x% students failed in all the four subjects. What is the minimum value of x?
Question 2
A coin is tossed is three times. Consider the following events :
A : No head appears
B : Exactly one head appears
C : At least two heads appear
Which one of the following is correct?
Question 3
Let R = where A = {1,2,3,4,5} then
Question 4
If and , then =
Question 5
Consider the following Venn diagram, where X, Y and Z are three sets. Let the number of elements in z be denoted by n(Z) which is equal to 90
If the number of elements in Y and Z are in the ratio 4 : 5, then what is the value of b?
Question 6
Consider the following Venn diagram, where X, Y and Z are three sets. Let the number of elements in z be denoted by n(Z) which is equal to 90
What is the value of n(X) + n(Y) + n(Z) – n(X ∩ Y) – n(Y ∩ Z) – n(X ∩ Z) + n(X ∩ Y ∩ Z)?
Question 7
Consider the following Venn diagram, where X, Y and Z are three sets. Let the number of elements in z be denoted by n(Z) which is equal to 90
If the number of elements belonging to neither X, nor Y, nor Z is equal to p, then what is the number of elements in the complement of X?
Question 8
If A and B are two sets then is :
Question 9
For any three sets and the set
is equal to
Question 10
In a class of 55 students, the number of students studying different subjects are, 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all three subjects. The number of students who have taken exactly one subject is
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