(a) Going by the options. Let us assume that option (a) is true – that is Ankita got the third position. First student’s guess – A B C D E Second student’s guess – D A E C B We start with the orders as → — — A — —In the guess of the second student DAECB, we have 4 blocks– DA, AE, EC, CB ; out of which 2 blocks will come in the actual rank order. Case I : Let us take two blocks i.e. DA & AE. _ DAE _ Here, either Ist or fifth position can be occupied by B or C. In any case, it will violate the condition that the second student had got two positions correct. So this is not the case. Case II : Let us take another blocks i.e. DA & EC. BDAEC This also violates the guess of second student. So this is also not the case. Case III : Let us take blocks DA & CB. EDACB This order satisfies all the conditions mentioned in thequestion. So, Ankita got the third position.