Math Problem (Level 1) : How many liars in four ? (L1)

Four persons, A, B, C, and D, said as follows : 
A said "B is a liar." 
B said "C is a liar." 
C said "D is a liar." 
D said "A is a liar." 
How many liars are there among these four persons ? 







Answer
Two persons

Solution
In case A is a liar, C is also a liar and B and D are the honest. 
In case A is the honest, B and D are liars and C is the honest. 
In any cases, liars are two.