*In a zoo:*

I. There were 9 male chimps and their baby chimps.

II. There were 2 more female chimps than baby chimps.

III. The number of different male-female chimp couples possible was 24. Note that if there were 7 male and 5 female chimps, then the total number of couples possible is 35.

Also, of the three groups – males, females and babies- at the zoo:

IV. 4 were of one kind.

V. 6 were of another kind.

VI. 8 were of the third kind.

Out of 6 statements given above (labeled I to VI), one statement is false. Identify the false statement.

### Click here to learn more

Statement (4) is false. There are 3 male chimps, 8 female chimps and 6 baby chimps.
Assume that Statements (4), (5) and (6) are all true. Then, Statement (1) is false. But then Statement (2) and (3) both cannot be true. Thus, contradictory to the fact that exactly one statement is false. So Statement (4) or Statement (5) or Statement (6) is false. Also, Statements (1), (2) and (3) all are true. From (1) and (2), there are 11 male and female chimps. Then from (3), there are 2 possible cases – either there are 8 male and 3 female or there are 3 female and 8 male. If there are 8 male and 3 female, then there is 1 baby chimp. Then Statements (4) and (5) both are false, which is not possible. Hence, there are 3 male, 8 female and 6 baby chimps. Statement (4) is false.