In a class exam, 6 students failed and 2 students were absent. Among the students who passed, Sameer ranks 12th from the top and 30th from the bottom. How many students are in the class, counting the failed and the absent ones?

41Correct answerYour answer43Correct answerYour answer47Correct answerYour answer49Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Sameer's ranks are among the students who PASSED: $12 + 30 - 1 = 41$ passed.
Add those who failed and those who were absent: $41 + 6 + 2 = 49$ .

Worth noting

41 counts only the students who passed. 47 adds the failed students but forgets the absent ones; they are still in the class. 43 adds only the absent students.

Concept: Rank among a subgroup, then the whole class
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsPosition in a row

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Ten questions from Ranking and Ordering, at your own pace.

In a class exam, 6 students failed and 2 students were absent. Among the students who passed, Sameer ranks 12th from the top and 30th from the bottom. How many students are in the class, counting the failed and the absent ones?

Explanation