Doesn't methyl amine give carbylamine test?
You are indeed correct. 

$\ce{HOOC-CH2-NH2(X) -&gt;[HNO2] HOOC-CH2-OH (Z) + N2(Y)}$

$\ce{HOOC-CH2-NH2(X) -&gt;[soda lime] CH2-NH2(A)}$

Also, $ \ce{(A) + CHCl3 + 3KOH -&gt;[Heat] CH3-NC + 3KCl + 3H2O}$. 

Methylamine does give the carbylamine test.

So clearly, the answer given must be wrong.

The correct options are 1,2 and 4.