CA Foundation Exam > CA Foundation Questions > If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}...
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If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Q. n(P∩Q) is
- a)2
- b)5,
- c)6,
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2...
Given:
P = {1, 2, 3, 5, 7}
Q = {1, 3, 6, 10, 15}
Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
To find:
Q.n(P1)
Explanation:
Q.n(P1) represents the intersection of set Q and the complement of set P, denoted by P1.
Complement of set P, denoted by P1, can be represented as:
P1 = S - P
P1 = {4, 6, 8, 9, 10, 11, 12, 13, 14, 15}
The intersection of set Q and P1 can be represented as:
Q.n(P1) = {3, 6, 10, 15}
Therefore, the correct option is (a) 10.
P = {1, 2, 3, 5, 7}
Q = {1, 3, 6, 10, 15}
Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
To find:
Q.n(P1)
Explanation:
Q.n(P1) represents the intersection of set Q and the complement of set P, denoted by P1.
Complement of set P, denoted by P1, can be represented as:
P1 = S - P
P1 = {4, 6, 8, 9, 10, 11, 12, 13, 14, 15}
The intersection of set Q and P1 can be represented as:
Q.n(P1) = {3, 6, 10, 15}
Therefore, the correct option is (a) 10.
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Community Answer
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2...
Explanation:
Intersection of Sets:
- The intersection of two sets P and Q, denoted by P ∩ Q, is the set of elements that are common to both sets.
- In this case, P = {1, 2, 3, 5, 7} and Q = {1, 3, 6, 10, 15}.
- To find the intersection, we look for elements that are present in both sets.
- The common elements between P and Q are 1 and 3.
Calculation:
- n(P ∩ Q) = Number of elements in the intersection of sets P and Q.
- n(P ∩ Q) = 2 (as there are 2 common elements: 1 and 3).
Therefore, the correct answer is A: 2.
Intersection of Sets:
- The intersection of two sets P and Q, denoted by P ∩ Q, is the set of elements that are common to both sets.
- In this case, P = {1, 2, 3, 5, 7} and Q = {1, 3, 6, 10, 15}.
- To find the intersection, we look for elements that are present in both sets.
- The common elements between P and Q are 1 and 3.
Calculation:
- n(P ∩ Q) = Number of elements in the intersection of sets P and Q.
- n(P ∩ Q) = 2 (as there are 2 common elements: 1 and 3).
Therefore, the correct answer is A: 2.
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