If Aavanya scores 5 points in the B-plan competition round, and sum of twoof the three missing values for Raghav is a prime number, then which possibility iscorrect? Possibility I: Raghav has scored 5 points in Case-study analysis round. Possibility II: Raghav has scored 5 points in Debate round. Possibility III: Raghav has scored 4 points in Debate round.
Explanation:
1, no two students have scored equal points in the same round. Let Vagisha's score in the Debate and Extempore rounds be x. Thus, the table becomes as shown below.
Possibility I: In the previous question, we have seen that Vagisha cannot score 8 in BQ. Thus, the only possibility for her score is as given in the table below.
Thus, the sum of Raghav’s points in the remaining two rounds = 29 - 3 - 10 - 5 = 11 which is a prime number. Hence, statement 1 is a possibility. Possibility II:
The sum of scores of BP and CP is 11, i.e. a prime number. Thus, statement 2 is also a valid possibility. Possibility III:
The sum of scores of BP and Debate is 11, i.e. a prime number. Thus, statement 3 is also a valid possibility. Hence, the answer is option D.
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