Increase in per capita GDP always means GDP is growing? This question was asked in very popular civil services examination.


  Question is : Whether the following statement is correct or not?
  Statement : If a country is experiencing increase in its per-capita
  GDP, its GDP must necessarily be growing?


The approach I applied is that, in a country like Syria, if mass emigration happens then population will decrease and at the same time GDP might not decrease with same rate. so this statement will be false. 

I know my assumption is not too correct, so ignoring that, please help me arrive in correct answer.
Your reasoning seems correct.

if we consider that Gp=G/(population) and we know that Gp is increasing then we have the following possibilities:


if (population) is static or growing then we can conclude that G must necessarily be growing
if (population) is decreasing then G can be either static or actually decreasing slower than (population). In this case, the statement on the question fails