Multiple choice

Three students Pankaj, Ravinder and Rahul took a Maths test of 25 marks. The passing marks were 38%. When asked about marks, the teacher said: 1. Each one of them secured different marks. 2. The sum of the marks secured by the highest and lowest scorers among the three is 13. 3. If 2 is added to the average marks secured by all three of them, the result is the marks secured by one of them who secured neither the lowest nor the highest marks. How many of them passed the test?

  1. 0

  2. 1

  3. 2

  4. Data inadequate

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Passing marks = 25 * 0.38 = 9.5. Let marks be x, y, z (x < y < z). x+z = 13. (x+y+z)/3 + 2 = y. x+y+z + 6 = 3y => x+z + 6 = 2y => 13 + 6 = 2y => y = 9.5. Since y=9.5 is not an integer (assuming marks are integers), this is tricky. If y=9.5, then x+z=13. Possible sets: (4, 9.5, 9) - no. If marks are not integers, 2 passed (y and z).

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