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?\nOptions:\n(A) 179 cm and 172 cm\n(B) 181 cm and 169 cm\n(C) 173 cm and 178 cm\n(D) 176 cm and 176 cm\n(E) 174 cm and 177 cm Now, let's think a bit. Some random thoughts:
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Denote X as the sum of the heights of the two new people. From the stem it follows that (700+X)6>175. This reduces to X>350. Only the heights from B add up to 350 cm. All other pairs add up to more than 350 cm.
The final answer: (B).
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