What is the average (arithmetic mean) of the numbers a & b ?
1.The median of a+2,a-3 & a+5 is 14.
2.The only mode of a,b & 14 is 14.
1.The median of a+2,a-3 & a+5 is 14.
2.The only mode of a,b & 14 is 14.
Statement 1: a - 3 < a + 2 < a + 5himu wrote:What is the average (arithmetic mean) of the numbers a & b ?
1.The median of a+2,a-3 & a+5 is 14.
2.The only mode of a,b & 14 is 14.
Hence, median of (a + 2), (a - 3), and (a + 5) is a + 2.
So, a + 2 = 14
--> a = 12
But don't know anything about b.
Not sufficient
Statement 2: Mode of a set of data is the value that appears most often that set.
As the only mode of a, b, and 14 is 14, exactly on of a and b must be 14.
Not sufficient
1 & 2 Together: As a = 12, b must be equal to 14.
Sufficient
The correct answer is C.
