Question

What is Sudin's rank in the class of 44 students?
Statement I. Ramesh, whose rank is 17th in the class,is ahead of Shyam by 6 ranks, Shyam being 7 ranks ahead of Sudin.
Statement II. Suketu is 26 ranks ahead of Sudin and Shyamala is 6 ranks behind Sudin while Savita stands exactly in the middle of Shyamala and Suketu in ranks, her rank being 17.

• A. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question;
• B. If the data in statement II alone are sufficient to answer the question, while the data in statement I all are not sufficient to answer the question;
• C. If the data in either statement I alone or statement II alone are sufficient to answer the question;
• D. If the data even in both statements I and II together are not sufficient to answer the question;
• E. If the data in both statements I and II together are necessary to answer the question.

Answer 1

The correct option is C If the data in either statement I alone or statement II alone are sufficient to answer the question;

According to statement I : Ramesh Rank = $17$ and Ramesh ahead of shyam by $6$ ranks therefore shyam rank is $17+6=23$ and shaym being $7$ ranks ahead of sudin so sudin's rank = $23+7=30$

So according to statement I : Sudin's rank is $30$

According to Statement II : Let us consider sudin's rank be $x$, since suketu is $26$ rank ahead of sudin so suketu's rank is $x-26$, shyamala is $6$ ranks behind sudin so shyamala rank is $x+6$, and savita is in the middle of shyamala and suketu so savita rank is mean of shyamala and suketu's rank i.e. $x-10$ and it is given as $17$, so $x=27$, and we know $x$ is sudin's rank

So according to statement II : Sudin's rank is $27$

So Option C is correct as data in statement I or Statement II alone are sufficient to answer.