jnu

[sohini]

For a race, 5 individuals made forecasts. Each of them made 2 statements, atleast one of which turned out to be false. Determine who won which medal.

Statements by individual 1: A will not win the gold medal. B will not win the silver medal.
Statements by individual 2: C will win a medal. D will not win a medal.
Statements by individual 3: D will win a medal. E will win a medal.
Statements by individual 4: D will not win the silver medal. E will not win the bronze medal.
Statements by individual 5: A will win a medal. C will not win a medal.

[Amit Goyal]

Since atleast one of the statements made by each individual is false.
We can figure out who wins the medals by doing something like this:
Suppose A wins a medal, by (5) this implies that C must also win some medal, by (2) this inturn implies that D must win a medal, now by (3) this implies that E must not win a medal. So, by (4) D must win the silver medal. Now by (1) we have A must win the gold medal. Thus, C wins the bronze medal.
So, A wins gold, D wins silver and C wins bronze.

[sohini]

sir, that means we assume the first statement of all the individuals to be true and the second statement to be false

[Amit Goyal]

No, i don't think you understood it.

[PRANAVjain]

BUT SIR,ITS WRITTEN THAT ATLEAST ONE OF THE STATEMENT IS WRONG.SO THERE MAY BE A CASE WHERE BOTH THE STATEMENTS CAN BE WRONG.SO HOW CAN WE CONCLUDE THAT IF ONE IS TRUE THEN THE OTHER HAS TO BE FALSE.THIS WAY,QUESTION CANT BE PROCEEDED.

[duck]

Hi Pranav,

I think there must be some typing error..Such ques are solved in the way sir has explained.

[Amit Goyal]

Hi Pranav,

Atleast one of the two statements is wrong implies that
If one of the two statements in right then the other must be wrong. (1)
And it does not imply that
If one of the two statements in wrong then the other right. (2)
There is a difference between (1) and (2)
If you have a look at the answer i posted, i never used (2)

thanku sir...