2. In a class of 50 students, 18 take music, 26 take art, and 2 take both
art and music. How many students in the class are not enrolled in
either music or art?
(a) 6 (b) 8 (c)16 (d) 24
3. What is true about the statement "If two angles are right angles, the
angles have equal measure" and its converse "If two angles have equal
measure then the two angles are right angles"?
(a) The statement is true but its converse is false.
(b) The statement is false but its converse is true.
(c) Both the statement and its converse are false.
(d) Both the statement and its converse are true.
4. The inverse of the converse of a conditional statement is the:
CONTRAPOSITIVE
5. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8}, B = {1, 3, 6, 9}, and
C = {1, 3, 4, 6, 8}. List the members in the set: (A C)'
6. Prove that the difference of squares of two odd numbers is always
divisible by 4.
8. Tourists in Turkey
Every year over nine million tourists visit the ancient cities, the historic
places, and the beautiful coasts of Turkey. Last year, 9.8 million tourists
visited Turkey.
• Sixty percent of the tourists visited only Istanbul.
• Twenty percent of the tourists visited Izmir.
• Half of the tourists who visited Izmir also visited Istanbul, but
skipped a trip to Antalya.
• Two percent of the tourists visited Istanbul, Izmir, and Antalya.
• The number of tourists who visited only Antalya was half as much
again as the number of tourists who visited only Izmir.
• Tourists who visited Antalya either saw only Antalya or saw Antalya,
Istanbul, and Izmir.
• The rest of the tourists visited other regions like Capadoccia,
Ankara, Canakkale (Troy), Halicarnassus, and Pamukkale.
How many tourists visited only other regions?
