Sorry for the delay in posting the answer to the question i had asked in my prev post. Since almost no one has attempted it here it is........The 99th line is true while all others are false....
Suppose all hundred lines are true.. Then hundred th line should also be true. But 100th line says that exactly 100 lines out of 100 are false and this should be true coz we have assumed it it is true.
But this gives rise to a contradiction..
Thus all 100 cant be true some are false.. and 100th line cant be true..Thus 100th statement is false..
Now the 99th line can either be true or false..Suppose 99th line is false then there is no true line at all..but the 100th line is already proved false..so 99th line must be true..If this was confusing please spare some time and think..U will get the logic!!
Suppose all hundred lines are true.. Then hundred th line should also be true. But 100th line says that exactly 100 lines out of 100 are false and this should be true coz we have assumed it it is true.
But this gives rise to a contradiction..
Thus all 100 cant be true some are false.. and 100th line cant be true..Thus 100th statement is false..
Now the 99th line can either be true or false..Suppose 99th line is false then there is no true line at all..but the 100th line is already proved false..so 99th line must be true..If this was confusing please spare some time and think..U will get the logic!!
1 comment:
You answer part a. For part b, should it mean that the statements from 1 to 50 are true and 51 to 100 are false?
Post a Comment