This test has 20 multiple choice questions. There is a threehour time limit and once you submit the exam it will be graded immediately and cannot be changed. Good luck! Question 1 of 20 1.0/ 1.0 Points Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 13 15 11 13 9 11 7 9 ____  
 A. 7 

 B. 5 

 C. 13 

 D. 11 


Part 2 of 20   1.0/ 1.0 Points
Question 2 of 20 1.0/ 1.0 Points
Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 4 8 16 32 64 ____  
 A. 512 

 B. 128 

 C. 1064 

 D. 256 


Part 3 of 20   1.0/ 1.0 Points
Question 3 of 20 1.0/ 1.0 Points
Write a counterexample to show that the following statement is false: When an odd number is added to the product of two even numbers, the result will be even.  
 A. 4•5 + 1 = 21. 21 is not even. 

 B. 4•2 + 3 = 11. 11 is not even. 

 C. 3•5 + 4 = 19. 19 is not even. 

 D. 4•5 + 2 = 22. 22 is even. 


Part 4 of 20   1.0/ 1.0 Points
Question 4 of 20 1.0/ 1.0 Points
Write a counterexample to show that the statement is false. When any number is multiplied by 5 and the digits of the answer are added, the sum will be divisible by 5.  
 A. 7 × 5 = 35; 3 + 5 = 8, which is not divisible by 5.  
 B. 111 × 5 = 555; 5 + 5 + 5 = 15, which is not divisible by 5.  
 C. 11 × 5 = 55; 5 + 5 = 10, which is divisible by 5.  
 D. 10 × 5 = 50; 5 + 0 = 5, which is divisible by 5. 


Part 5 of 20   1.0/ 1.0 Points
Question 5 of 20 1.0/ 1.0 Points
Use inductive reasoning to make a conjecture about a rule that relates the original number to the final answer. Try to prove your conjecture using deductive reasoning. Select a number.Add 10.Multiply by 2.Subtract 20.Divide by 2.Subtract the original number.  
 A. The answer is always 0. 

 B. The answer is always 10. 

 C. The answer is always the original number. 

 D. The answer is always –10. 


Part 6 of 20   1.0/ 1.0 Points
Question 6 of 20 1.0/ 1.0 Points
Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct. 02 + 1 = 112 + 3 = 2222 + 5 = 3232 + 7 = 4242 + 9 = 52 . . .82 + 17 = ?  
 A. 92 

 B. 80 

 C. 102 

 D. 73 


Part 7 of 20   0.0/ 1.0 Points
Question 7 of 20 0.0/ 1.0 Points
Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct. 12,345,679 × 9 = 111,111,11112,345,679 × 18 = 222,222,22212,345,679 × 27 = 333,333,333 . . .12,345,679 × 54 = ?  
 A. 666,666,666 

 B. 555,555,555 

 C. 666,666,612 

 D. 777,777,777 


Part 8 of 20   0.0/ 1.0 Points
Question 8 of 20 0.0/ 1.0 Points
Determine whether the type of reasoning used is inductive or deductive reasoning. If a telephone repairman says it will cost $225 to fix my telephone, it will actually cost $250. Since a telephone repairman told me it would cost $225 to fix my telephone, I can expect it to cost me $250.  
 A. deductive reasoning 

 B. inductive reasoning 


Part 9 of 20   1.0/ 1.0 Points
Question 9 of 20 1.0/ 1.0 Points
Use deductive reasoning to arrive at a conclusion. On Christmas Day, Thai restaurants and ski slopes are...