Let a, b, c, d, e, f, g be consecutive even numbers and j, k, l, m, n be consecutive odd numbers. What is the average of all the numbers?
1). 3(a + n)/2
2). (5l + 7d)/4
3). (a + b + m + n)/4
4). None of the above
Since a, b, c, d, e, f, g be consecutive even numbers;
Suppose a = 2, b = 4, c = 6, d = 8, e = 10, f = 12 and g = 14.
Since j, k, l, m, n be consecutive odd numbers;
Suppose j = 1, k = 3, l = 5, m = 7 and n = 9.
∴ Average of all the numbers = (a + b + c + d + e + f + g + j + k + l + m + n)/12
Putting the values of every term as supposed above;
∴ Average of all the numbers = (56 + 25)/12 = 81/12 = 27/4
On checking with the options, any option will not be satisfied with this data.
∴ None of the above