1. Which of the following will help you solve theDie Hard with a Vengeance Jug Problem where you must measure out exactly 4 gallons of water. Available tools are 3-gallon and 5-gallon jug and a single fountain?

a.None of the given procedures will help solve this problem

b.Fill the 3-gallon jug and pour it into the 5-gallon jug. Fill the 3-gallon jug again and use it to fill the 5-gallon jug. You have 1 gallon. Empty the 5-gallon jug and pour the 3-gallon jug's remaining gallon in. Refill the 3-gallon jug and pour it into the 5-gallon jug.

c.Both procedures will help solve the problem

d.Fill the 5-gallon jug. Use it to fill the 3-gallon jug, leaving 2 gallons in the 5-gallon jug. Empty the 3-gallon jug, and then pour in the 2 remaining gallons from the other jug. Fill the now empty 5-gallon jug and pour 1 gallon into the 3-gallon jug. There are 4 gallons left in the 5-gallon jug.

2.Every freshmen I know studies Mathematics in the Modern World. Therefore, all freshmen study Mathematics in the Modern World. This is an example of

a.Deductive Reasoning

b.Inductive Reasoning

3. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each number he rolls, he decides to stop as soon as one number is rolled three times. Miguel stops after the 12th roll, and the sum of these rolls is 47. Which number occurred for the third time? (An ordinary 6-sided die has the numbers from 1 through 6 on its sides)

a.6

b.5

c.1

d.4

4.If 3x = 18, then x =6. This is an example of

a.Deductive reasoning

b.Inductive reasoning

5.The counterexample that we can give is to substitute the value of ___ in x to show that the conjecture x/x=1 is false.

6.How many toothpicks will be needed to make a 7 7 square?

a.60

b.49

c.112

d.84

7.Use Deductive Reasoning to make a conjecture about the procedure below

Pick a number. Multiply the number by 8. Add 6 to the product. Divide the sum by 2. Subtract 3 from the quotient.

Performing the given procedure, you will arrive at the final answer of ?

a.5nwhichimplies that the given procedure will result to a number that is five times the original number.

b.4nwhichimplies that the given procedure will result to a number that is four times the original number.

c.2n whichimplies that the given procedure will result to a number that is twice the original number.

d.3nwhichimplies that the given procedure will result to a number that is thrice the original number.

8.Which of the following is not true in the prisoner hat riddle?

a.Use inductive logic to deduce the missing information

b.The prisoner says black if he sees odd number of black hats.

c.Only one wrong guess is allowed.

d.From back to front, prisoners are lined up from shortest to tallest.

9.NEU is sending faculty members for International Faculty Exchange Program. Faculty A, B, C, D and E are being considered. If only three faculty members can be sent, what is the probability that Faculty A, B and C will be chosen?

a.2/5

b.3/5

c.3/10

d.1/10

10.In Einstein's riddle, who stole the fish?

a.Norwegian

b.Brit

c.German

d.Swede

e.Dane

11.In the prisoner hat riddle, each person is trying to guess how many different colors there are among hats?

Select one:

True

False

12.Using the definition of Fibonacci numbers, the eleventh Fibonacci number, F₁₂is____?