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 General & Pure Mathematics  1. What is the universal set in the context of a given problem?  a. Set of all real numbers   b. Set of all elements under consideration  c. Set of natural numbers  d. Set of prime numbers 2. If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?    a. {1, 2}     b. {3}    c. {1, 2, 3, 4, 5}    d. {4, 5} 3. How is the cardinality of a set defined?       a. The sum of all elements in the set    b. The product of all elements in the set    c. The count of elements in the set    d. The average of all elements in the set     4. If U is the universal set, what is the complement of the empty set (∅)?    a. U b. ∅ c. Null set d. The complement of the empty set is undefined   5. Which of the following is true for the Cartesian product A × B? a. A × B = B × A b. A × B is the set of all ordered pairs where the first element i...

1.   Logarithms are commonly used in which of the following mathematical applications? a)      Solving quadratic equations b)      Calculating derivatives c)      Prime number factorization d)      All of the above   2.     What is the logarithm of 1000 to the base 10? a)      1 b)      2 c)      3 d)      4   3.    Which of the following is equivalent to log ₂ (8)? a)      3 b)      4 c)      2 d)      1/3   4.      What is the logarithm of 1 to any base? a)      0 b)      1 c)      -1 d)      Undefined   5.      If log ₃ (x) = 2, what is ...