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Question

In a college the performance of a student is judged by his overall performance in five tests in a semester. In each test the students are given grades A+, A, B, C, D each containing points 10, 7, 4, 1, 0 respectively. The GPA of a student is equal to the average of the points obtained in the five tests. The points obtained by a batch of fifteen students in these 5 tests are given below.
NameTest 1Test 2Test 3Test 4Test 5GPAManishCB4.4AlokDA3.6VijayDC4.2RaviCA4.6RajAA+3.8MohitCAA+5.2SagarCBA+6.4RakeshCA5ShekarBA8.2PankajDD2.2
It is also known that the grade scored by a student in a test are never less than the grade obtained in the previous test, e.g., the grade scored in Test 5 will be greater than or equal to the grade scored in Test 4.

The number of candidates who got A+ grade in at least two out of the five tests is:


A
not more than 5
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B
not more than 6
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C
not more than 7
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D
not more than 4
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Solution

The correct option is C not more than 7

Vijay, Sagar, Shekhar, Akshay, Salman and Vinod i.e. 6 candidates got A+ in at least two of the five tests. Paresh may or may not have scored 10 points in at least two out of the five tests.


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