# Exam 1

Topics: Inductive reasoning, Logic, Reasoning Pages: 9 (1352 words) Published: April 7, 2013
Part 1 of 20 - | 1.0/ 1.0 Points|
This test has 20 multiple choice questions. There is a three-hour 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| |
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| B. 5| |
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| C. 13| |
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| D. 11| |

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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| |
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| B. 128| |
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| C. 1064| |
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| D. 256| |

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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.| |
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| B. 4•2 + 3 = 11. 11 is not even.| |
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| C. 3•5 + 4 = 19. 19 is not even.| |
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| D. 4•5 + 2 = 22. 22 is even.| |

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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.| |

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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.| |
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| B. The answer is always 10.| |
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| C. The answer is always the original number.| |
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| D. The answer is always –10.| |

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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| |
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| B. 80| |
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| C. 102| |
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| D. 73| |

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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| |
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| B. 555,555,555| |
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| C. 666,666,612| |
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| D. 777,777,777| |

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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| |
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| B. inductive reasoning| |

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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...