With Solution

Convert 1111100012 to octal form A. 6718 B. 7618 C. 716 8 22. Convert 345 to base 2. D. 1761s A. 101011001 32. Let P and R be true, Q be false. What is the truth value of R - (PV ~Q)? B. 101011101 C. 101011010 A. True C. Both True and False D. 101010001 B. False D. Neither True nor False For item nos. 33-36 23. Convert 725 (base 10) to base 8. A. 13358 B. 1325s "Students' Participation in C. 12758 D. 13758 Ice Skating, Skiing, and Snowboarding" 24. Given: r: it is raining s: sidewalks are wet Which of the following is the logical notation form of "If it is not raining then the sidewalks are not wet"? A. ~ ~S B. ~S - I C . S - I D. ~S - ~I AVERAGE (3 POINTS) 33. How many students do not Snowboard? 25. Which of the following is the contrapositive form of A. 7 B. 13 C. 21 D. 28 "If projects are corrupted, then Icoding occurs."? A. If flooding occurs, then projects are corrupted. 34. How many students play all 3 sports (Ice Skate, Ski B. If no flooding occurs, the " jects are not corrupted. and Snowboard)? C. If projects are not corrupter, ir en flooding does not occur. A. 2 B. 3 C. 7 D. 8 D. If projects are corrupted . flooding does not occur. 35. How many students play both Ski and Snowboard but 26. If a polygon is a triangle, thee t has three sides. not Ice Skate? What is the conclusion? A. 3 B. 4 C. 8 D. 12 A. It has three sides C, it is a triangle B. It is a polygon D. The polygon is a triangle 36. What is the total number of students in the group? A. 50 B. 53 C. 55 D. 60 27. U= {1,2,3,4,5,6,7,8,9,10}, 4 - (1,2,3,4,5,6}, B = (2,4,5,7}, C= {1,8,9; What is (A UB) n C? DIFFICULT (4 POINTS) A. {1} B. {1,5,8,9} D. {8.9} 37. Consider the sets : U = {1,2,3,4, ...,20}, 28. A = {1,2,3,4,5,6}, B = (2,4 5 7,8). What is A - B? A = {multiples of 2}, B = {multiples of 3}. A. {1,3,6} B. {1,3,6, 7,8} D $2,4 , 5, 7,8} What is n(A U B)? A. 12 B. 13 C. 14 D. 15 29. Which of the following state mout(s) is/are true? I. {10, 12,14,16} C {1," ..,99} 38. Let p = false, q = true, r = false. Which of the 1. {10} E {1,2,3,...,99 following is false? A. I only both I and II C. I - (q AT) B. II only A. p V (q Ar) wither I nor II B. ( ~ PA q ) A ~ I D. P - (qAr) 30. How many rows a truth table has with 3 propositional 39. Let p = true, q = false, r = false. Which of the variables? following is true? A. 2 B. 4 C.5 D. 12 C. ( P - q) A ~I A. q + (par) D. P + (qar) 31. Let P and R be true, Q be fuller. What is the truth value B. PA (q A ~[) of QV ( PAR ) ? D. 123416 40. Convert 6903 to Base 16. A. True C. A28C16 C. Foth True and False A. 1AF716 B. 1BE716 B. False D. Neither True nor False