DFSSC BST DAY 2024

Which property states that A ∪ B = B ∪ A?

• Commutative property

• Associative property

• Distributive property

• Closure property

What is the power set of set A = {a, b}?

• {{}, {a}, {b}, {a, b}}

• {{a}, {b}, {a, b}}

• {{}, {a}, {b}}

• {{a, b}}

Which statement is true for all sets A and B?

• A ⊆ B implies B ⊆ A

• A ⊂ B implies B ⊆ A

• A = B implies A ⊆ B

• A ⊆ B and B ⊆ A implies A = B

What is the intersection of sets A = {x | x ∈ ℝ, x^2 ≤ 4} and B = {x | x ∈ ℝ, x > 0}?

• {0, 1, 2}

• {1, 2}

• {0}

• ∅

What is the difference of sets A = {1, 2, 3, 4} and B = {3, 4, 5, 6}?

• {1, 2}

• {3, 4}

• {5, 6}

• {1, 2, 5, 6}

What is the formula for calculating profit?

• Profit = Selling Price - Cost Price

• Profit = Cost Price + Selling Price

• Profit = Selling Price x Cost Price

• Profit = Cost Price / Selling Price

If the profit percentage is 25% and the cost price is $120, what is the selling price?

• $120

• $150

• $180

• $210

A store offers a 15% discount on an item originally priced at $200. What is the selling price?

• $170

• $180

• $190

• $200

What is the derivative of f(x) = 3x² + 2x - 5?

• f'(x) = 6x + 2

• f'(x) = 6x - 2

• f'(x) = 3x - 2

• f'(x) = 3x + 5

If f(x) = x² sin(x), what is f'(x)?

• f'(x) = 2x sin(x) + x²cos(x)

• f'(x) = 2x cos(x) - x²sin(x)

• f'(x) = 2x sin(x) - x²cos(x)

• f'(x) = x² sin(x) - 2x cos(x)