If C = { 2, 4, 6, 8, 10, 12, 14, 16 }, and D = {5, 10, 15, 20}, then the number of elements in the set D - C is:
3
D - C represents the elements in set D that are not in set C. D = {5, 10, 15, 20} C = {2, 4, 6, 8, 10, 12, 14, 16} Elements in D that are not in C: {5, 15, 20} Thus, the number of elements in D - C is 3.
Important Questions from Operations on Sets
What is the number of natural numbers less than or equal to 1000 which are neither divisible by 10 nor 15 nor 25?
If A = {x ∈ R : x 2+ 6x - 7 < 0} and B = {x ∈ R : x 2+ 9x + 14 > 0}, then which of the following is/are correct?
1. (A ∩ B) = (-2, 1)
2. (A - B) = (-7, -2)
Select the correct answer using the code given below:A, B, C and D are four sets such that A ∩ B = C ∩ D = ϕ. Consider the following:
1. A ∪ C and B ∪ D are always disjoint.
2. A ∩ C and B ∩ D are always disjoint.
Which of the above statements is/are correct?A coin is tossed 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?
Let X = {x | x = 2 + 4k, where k = 0, 1, 2, 3,...24}. Let S be a subset of X such that the sum of no two elements of S is 100. What is the maximum possible number of elements in S ?
