If all cats are mammals and some mammals are not pets, which of the following is true?
Correct!
Wrong!
All cats are mammals, but not all mammals are pets, so some cats may or may not be pets.
If x + y = 10 and x - y = 2, what is the value of x?
Correct!
Wrong!
Solving the system of equations, x = 6 and y = 4.
What is the contrapositive of 'If it rains, then the ground gets wet'?
Correct!
Wrong!
The contrapositive is logically equivalent and reverses and negates both parts.
A number is divisible by both 3 and 4. Which of the following must also divide the number?
Correct!
Wrong!
If a number is divisible by both 3 and 4, it is divisible by their least common multiple: 12.
What is the next term in the sequence: 2, 4, 8, 16, ...?
Correct!
Wrong!
This is a geometric sequence with a common ratio of 2.
Which statement is logically equivalent to 'If A, then B'?
Correct!
Wrong!
The contrapositive 'If not B, then not A' is logically equivalent to 'If A, then B'.
Loading Questions...
If a = 3 and b = 4, what is the value of √(a² + b²)?
Correct!
Wrong!
Using the Pythagorean Theorem, √(9 + 16) = √25 = 5.
Which of the following is a counterexample to 'All prime numbers are odd'?
Correct!
Wrong!
2 is the only even prime number and disproves the statement.
If a function f(x) = 2x + 1, what is f(3)?
Correct!
Wrong!
Substitute x = 3: f(3) = 2(3) + 1 = 7.