CSE 240: Logic and Discrete Mathematics
Practice Test 1
Name:Student Number:
1. Write the negation of each statement in good English. Do not write “It is not true that...”
a. Some bananas are yellow. No bananas are yellow
b. All integers ending in the digit 7 are odd. There are some even integers ending in the digit 7
c. No tests are easy. Some tests are easy
d. Roses are red and violets are blue. Some roses are not red, or some violets are not blue
e. Some skiers do not speak Spanish. All skiers speak Spanish
2. Let predicate T(x, y) denote that student xis taking course y, and predicate P(x, y) denote
that student xhas passed course y. Write each of the following statements in good English. Do
not use variables in your answers.
a. ¬P(John,CSE 131) John has not passed CSE 131
b. ∃y∀xT (x, y)There is a course that all students have taken
c. ∀x∃yT (x, y)Each student has taken some course
