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Question

Which of the following statements cannot be true?


  1. The average score of the fifteen students in Test 3 is equal to 5.
  2. Only two students secured the same grade in three consecutive tests.

  3. Exactly five students did not get D grade in any of the tests.
  4. The average score of the fifteen students in Test 2 is equal to 2.


Solution

The correct option is A The average score of the fifteen students in Test 3 is equal to 5.
Shekhar scored A+ in tests 3, 4 and 5 and Pankaj scored D grade in tests 1, 2 and 3. Ravi may or may not have scored the same grades in three consecutive tests. Thus option [a] may or may not be true.
Ravi, Mohit, Sagar, Shakhar and Vinod did not score D grade in any of the tests.
Thus, option [b] is also true.
The average score of the 15 candidates in tests 2 is 2715=1.8 or 3015=2 or 3315=2.2

Thus, option [c] can be true.
The total score of all the 15 candidates in Test 3, except Ravi, Akshay and Paresh, is 56. Considering all the possibilities of the points scored by these three in Test 5, none of them add up to 19. Thus the average of 5 cannot be achieved.
( 56+19=75 and 7515=5)

Thus option [d] cannot be true. Hence, [d].

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