Question

If the number of students passing an examination be considered a criteria for comparision of difficulty level of two examinations, which of the following statements is true in this context?

• A. Half yearly examinations were more difficult.
• B. Annual examinations were more difficult.
• C. Both the examinations had almost the same difficulty level.
• D. The two examinations cannot be compared for difficulty level.

Answer 1

The correct option is C Both the examinations had almost the same difficulty level.

Number of students who passed half-yearly exams in the school
$=$ (Number of students passed in half-yearly but failed in annual exams) $+$ (Number of students passed in both exams)
$=(6+17+9+15)+(64+55+46+76)$
$=288$.
Also, Number of students who passed annual exams in the school
$=$ (Number of students failed in half-yearly but passed in annual exams) $+$ (Number of students passed in both exams)
$=(14+12+8+13)+(64+55+46+76)$
$=288$.
Since, the number of students passed in half-yearly $=$ the number of students passed in annual exams. Therefore, it can be inferred that both the examinations had almost the same difficulty level.
Thus Statements (a), (b) and (d) are false and Statement (c) is true.