DIRECTIONS for questions 8 and 9: Refer to the data below and answer the questions that follow. There are seven chapters in a mathematics book - A, B, C, D, E, F, and G. The instructor has to follow certain rules while teaching them. i. E cannot be taught before B and C. ii. D should be taught before C and G. iii. B cannot be taught before G. iv. F cannot be taught before C, D, and G. v. A should be taught before B is taught and the two should not be taught consecutively. Q8. If only four chapters are taught, which of the following has to be necessarily false? a) The instructor can get away without teaching F. b) The instructor can avoid teaching E. c) The instructor can avoid teaching C. d) The instructor can avoid teaching G. Q9. If only four chapters are to be taught, which of the following is necessarily true? a) A has to be taught. b) D has to be taught. c) B has to be taught. d) C has to be taught. Q8. If only four chapters are taught, which of the following has to be necessarily false? a) The instructor can get away without teaching F. b) The instructor can avoid teaching E. c) The instructor can avoid teaching C. d) The instructor can avoid teaching G. Q9. If only four chapters are to be taught, which of the following is necessarily true? a) A has to be taught. b) D has to be taught. c) B has to be taught. d) C has to be taught.

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