BdMO National Primary 2011/10 (Junior 2011/3)
Posted: Fri Feb 11, 2011 12:25 pm
Problem 10:
$A, B, C, D, E, F$ are six children of different ages in the range of 11 to 16. It is known that C and F always speak truth whereas among the rest two are truthful and the other two lie. When they are asked about their ages, they replied as follows-
A: The sum of the ages of the other five is an even number.
B: A is the eldest.
C: The sum of the ages of the other five is divisible by 5.
D: E is elder than A by two years.
E: The sum of the ages of A, B, D, E is an odd number.
F: The sum of the ages of the other five is divisible by 5.
Find out: (i) What is the sum of the ages of C and F? (ii) Which two among these six children lie? (iii) What are the ages of A and E?
$A, B, C, D, E, F$ are six children of different ages in the range of 11 to 16. It is known that C and F always speak truth whereas among the rest two are truthful and the other two lie. When they are asked about their ages, they replied as follows-
A: The sum of the ages of the other five is an even number.
B: A is the eldest.
C: The sum of the ages of the other five is divisible by 5.
D: E is elder than A by two years.
E: The sum of the ages of A, B, D, E is an odd number.
F: The sum of the ages of the other five is divisible by 5.
Find out: (i) What is the sum of the ages of C and F? (ii) Which two among these six children lie? (iii) What are the ages of A and E?
2) B and E is telling lie.