CA Foundation Exam > CA Foundation Questions > If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5...
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If V={0, 1, 2, …9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y ∪ Z, (V ∪ Y) ∩ X, (X ∪ Z) ∪ V are respectively: –
- a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, …9}
- b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, …9}
- c){2, 4, 6}, {0, 1, 2, …9}, {0, 2, 4, 6, 8}
- d)None
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y ...
Y U Z = {3,5,7}
only option a is having Y U Z = {3,5,7}
hence, (a) is the ans
only option a is having Y U Z = {3,5,7}
hence, (a) is the ans
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Community Answer
If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y ...
Solution:
Given: V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3, 7}
To find: Y Z, (V Y) X, (X Z) V
Explanation:
Before solving the given expressions, let's understand some basic set operations.
Now, let's solve the given expressions one by one.
The sets Y and Z have one common element, which is 3. Therefore, the union of Y and Z will be {3, 5, 7}.
Therefore, Y Z = {3, 5, 7}.
First, we need to find the union of V and Y. The sets V and Y do not have any common elements. Therefore, the union of V and Y will be {0, 1, 2, 3, 5, 7, 9}.
Therefore, (V Y) = {0, 1, 2, 3, 5, 7, 9}.
Now, we need to find the intersection of (V Y) and X. The sets (V Y) and X have three common elements, which are 0, 2, and 8. Therefore, the intersection of (V Y) and X will be {0, 2, 8}.
Therefore, (V Y) X = {0, 2, 8}.
First, we need to find the intersection of X and Z. The sets X and Z do not have any common elements. Therefore, the intersection of X and Z will be Ø (empty set).
Therefore, (X Z) = Ø.
Now, we need to find the union of (X Z) and V. The sets (X Z) and V do not have any common elements. Therefore, the union of (X Z) and V will be {0, 1, 2, 9}.
Therefore, (X Z) V = {0, 1, 2, 9}.
Therefore, Y Z = {3, 5, 7}, (V Y) X = {0, 2, 8}, and (X Z)
Given: V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3, 7}
To find: Y Z, (V Y) X, (X Z) V
Explanation:
Before solving the given expressions, let's understand some basic set operations.
- Union: The union of two sets A and B is the set of all elements which are in A, in B, or in both. It is denoted as A ∪ B.
- Intersection: The intersection of two sets A and B is the set of all elements which are in both A and B. It is denoted as A ∩ B.
- Complement: The complement of a set A is the set of all elements that are not in A. It is denoted as A'.
Now, let's solve the given expressions one by one.
Expression 1: Y Z
The sets Y and Z have one common element, which is 3. Therefore, the union of Y and Z will be {3, 5, 7}.
Therefore, Y Z = {3, 5, 7}.
Expression 2: (V Y) X
First, we need to find the union of V and Y. The sets V and Y do not have any common elements. Therefore, the union of V and Y will be {0, 1, 2, 3, 5, 7, 9}.
Therefore, (V Y) = {0, 1, 2, 3, 5, 7, 9}.
Now, we need to find the intersection of (V Y) and X. The sets (V Y) and X have three common elements, which are 0, 2, and 8. Therefore, the intersection of (V Y) and X will be {0, 2, 8}.
Therefore, (V Y) X = {0, 2, 8}.
Expression 3: (X Z) V
First, we need to find the intersection of X and Z. The sets X and Z do not have any common elements. Therefore, the intersection of X and Z will be Ø (empty set).
Therefore, (X Z) = Ø.
Now, we need to find the union of (X Z) and V. The sets (X Z) and V do not have any common elements. Therefore, the union of (X Z) and V will be {0, 1, 2, 9}.
Therefore, (X Z) V = {0, 1, 2, 9}.
Therefore, Y Z = {3, 5, 7}, (V Y) X = {0, 2, 8}, and (X Z)
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If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer?
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If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer?.
If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer?.
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If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of If V={0, 1, 2, 9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y Z, (V Y) X, (X Z) V are respectively: a){3, 5, 7}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}b){2, 4, 6}, {0, 2, 4, 6, 8}, {0, 1, 2, 9}c){2, 4, 6}, {0, 1, 2, 9}, {0, 2, 4, 6, 8}d)NoneCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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