Answer the following question based on the information given below.Thr...
Let the person whose birthday is being celebrated be denoted by t.
Let Asmita, Boby, Celine, Dinesh, Eshaan and Furqaan be denoted by A, B, C, D, E and F respectively.
Let the woman who is to the immediate right of t be W1 and the man opposite t be Hence, we have the following possible arrangements;
The other three positions are simply mirror images of these three positions.
Here, x, y and z are the three other people.
Now, consider each combination separately.
Case I:
In this case, if x is a man, then / should also be a man; otherwise, z’s position will contradict the fourth condition.
Similarly, if x is a woman then y must also be a woman; otherwise, W-i’s position will contradict the fourth statements.
Hence, in this case, we get two possible arrangements.
Consider Case la;
By, third statement, M3 = F. So, by the second statement, M1 is E and W2 is C.
Hence, the M2 must be D.
Hence, we have following arrangement.
Here, t and W-| are A and B in no particular order.
But this doesn’t satisfy the first condition. Hence, it is not possible.
Consider Case lb;
In this case also, by the third statement, t is F, and by the second statement, M2 is E and W3 is C.
Hence, M-| must be D.
Hence, we have the following arrangement;
Here, again, W-| and W3 are A and B in no particular order.
But this doesn’t satisfy the first condition. Hence, it is not possible.
Case II:
In this case, if x is a man, then t must be a man; otherwise, / s position will contradict the fourth condition. Similarly, if x is a woman, then t must also be a woman; otherwise, M-j’s position will contradict the fourth condition.
Hence, we have the following arrangements;
Consider case lla; By the third statement, t is F, and by second statement M2 is E and W3 is C.
Hence, M1 is D.
Here W ^ and W 2 are A and B in no particular order.
Hence, we have the following arrangement;
But, this cannot satisfy the first condition.
Hence, this case is not possible.
Consider case lib; By, third condition, M-| is F.
By statement 2, M2 is E and t is C.
Hence, M3 must be D.
Hence, we have the following arrangements.
By condition 1, W 1 is A and W 2 is B. In this case, we get the following arrangement;
This is the possible arrangement.
Case III:
Note: x cannot be a man. As if y is a woman, z’s position will contradict the fourth statement. But if x and y are men, then z must be a woman. But, in this case, W<|’s position contradicts statement 4.
Similarly, if x is a woman then t must also be a woman; otherwise, M-i’s position will contradict statement 4. But if x and fare women, then y and z must be men. But this contradicts statement 3.
Hence, Case III is not possible.
So, the only possible arrangement possible is case Mb. Hence, final arrangement is;
Hence, Celine’s birthday is being celebrated. Hence, option 2.