Mathematics
Assertion (A) : Let A = {factors of 12} and B = {factors of 16}. Then B - A = {8, 16}
Reason (R) : B - A = {x | x ∈ A, but x ∉ B}.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Sets
2 Likes
Answer
⇒ A = {factors of 12}
⇒ A = {1, 2, 3, 4, 6, 12}
⇒ B = {factors of 16}
⇒ B = {1, 2, 4, 8, 16}
Set B - A contains all the elements that are in set B but not in set A.
⇒ B - A = {x | x ∈ B, but x ∉ A}
So, reason (R) is false.
⇒ B - A = {8, 16}
So, assertion (A) is true.
Hence, option 3 is the correct option.
Answered By
3 Likes
Related Questions
Statement 1: The number of subsets of {{1, {0}}, 2} is 8.
Statement 2: A set containing 'n' elements has 2n - 1 proper subsets.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : Let A = {1, {Φ}}, then each of Φ, {1}, {{Φ}} is a proper subset of A.
Reason (R) : The empty set has no proper subset.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : Let A = {1, 2, 3, 4, 5, 6} and B = {1, 3, 5, 7, 9} then A ∩ B ⊆ A and A ∩ B ⊆ B, always true for every pair of two sets.
Reason (R) : For any sets A and B, we have A ∩ B ⊆ A and A ∩ B ⊆ B.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : Let A = {x | x + 3 = 0, x ∈ N}, B = {x | x ≤ 3, x ∈ W} then A ∩ B = B.
Reason (R) : For any set A, A ∩ Φ = Φ.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.