The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people? Options:
A) 179 cm and 172 cm  B) 181 cm and 169 cm  C) 173 cm and 178 cm  D) 176 cm and 176 cm  E) 174 cm and 177 cm
Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6&gt;175. This reduces to X&gt;350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm.   Answer: 181 cm and 169 cm
<result>B</result>
The average height in a group of 4 people is 175 cm. If the average height increased when 2 more people were added to the group, which of the following cannot be the heights of the two new people?