Saved Bookmarks
| 1. |
If `q` is false and `(p^^q)`harr r` is also true then which of the following are tautology (A) `(pvvr)-gt(p^^r)` (B) `(pvvr)` (C) `(p^^r)-gt(pvvr)` (D) `p^^r`A. `p vee r`B. `(p wedge r) to (p vee r)`C. `(p vee r) to (p wedge r)`D. `p wedge r` |
|
Answer» Correct Answer - B Given, `(p wedge q) harr r ` is true. This is possible under two cases Case I When both `p wedge q and r` are true , which is not possible because q is false. Case II When both `(p wedge q)` and r are false. `rArr P -= T or F, q-= F, r-=F` In this case, (a) `p vee r ` is T or F (b) `(p wedge r) to (p vee r) " is " F to (T or F)`, which always result in T. (c) `(p vee r) to (p wedge r) " is "(T or F) to F,` which may be T or F. (d) `p wedge r ` is F. |
|