Question

Was the average (arithmetic mean) of the temperature at noon in degrees Celsius in town A during the first 5 days of last month at least 28 degrees Celsius?

(1) The sum of the temperatures at noon in town A during the first 4 days was 116 degrees Celsius.
(2) The average of the temperatures at noon in town A during the second, third, fourth, and fifth days was 30 degrees Celsius

Answer 1

1. Yes

2. No

Explanation:

You can have a case such as 26,30,30,30,30 and another case : of 4,40,40,32,8 satisfying the 2 statements at the same time but in the 2nd case, the average that is less than 28.

From the given statements combined together, to get e-a=4. So once you get this information, you can have a big range of values that may or may not have average >28.