Instructions

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and -
Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d: if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both Statements I and II together are necessary to answer the question.

Question 119

How many students scored more than B in a class of 25 students?
I. More than four but less than ten students scored more than that of B. B’s rank is an odd number. Seventeen students scored less than D.
II. The rank of C is 16th from the last. B got more marks than C. Only two students are there between B and C.

Solution

I : More than four but less than ten students scored more than that of B. B’s rank is an odd number

=> B's rank can be 5 or 7 or 9.

Thus, I alone is insufficient.

II : The rank of C is 16th from the last, => C's rank from top = (25+1) - 16 = 10th. 

B got more marks than C. Only two students are there between B and C.

=> B's rank from top = 7th

Thus 6 students scored more marks than B.

$$\therefore$$ II alone is sufficient.

=> Ans - (B)


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