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In an examination, 41% of students failed in Economics, 35% of students failed in Geography and 39% of students failed in History, 5% of students failed in all the three subjects, 14% of students failed in Economics and Geography, 21% of students failed in Geography and History and 18% of students failed in History and Economics. Find the percentage of students who failed in only Economics.
In a mid-term exam of class 11, 42% students failed in Mathematics, 54% students failed in Physics and 48% students failed in Chemistry. Only 10% students failed in all the three subjects. 20% students failed in both Physics and Chemistry, 15% students failed in both Chemistry and Mathematics, and 18% students failed in both Physics and Mathematics. What is the percentage of those students who failed in two subjects only?
200 students appeared in a specific examination. There were 80 students who failed in Mathematics. 160 students passed in Physics. 30 students failed in Chemistry. 30 students failed in Mathematics and Physics. 15 students failed in Mathematics and Chemistry. 10 students failed in Physics and Chemistry. 100 students passed in all three subjects. How many students failed in only one subject?
In an examination, the number of students who passed and the number of students who failed were in the ratio 25 ∶ 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 ∶ 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
Statements : Some questions are answers. Some answers are writers. All the writers are poets.

Conclusions :
I. Some writers are answers.
II. Some poets are questions.
III. All the questions are poets.
IV. Some poets are answers.
A competitive examination question paper comprised of 80 questions, out of which 20% were of Aptitude, 30% from Mathematics and the remaining from the elective subject. A student attempted all of the aptitude questions, but only 50% of the attempted questions were correct. He attempted 50% of the Mathematics questions, out of which 75% were correct. From the elective subject, he attempted 90% of the questions, out of which 75% were correct. What percentage of the total questions did he have correct?
The ratio of the number of students passed in an examination to the number of students who failed was 25 : 4. If three more students appear in the examination and the number of failed students decreases by 3 compared to the earlier, then the ratio of the total number of students to the number of failed students currently becomes 8 : 1. The total number of students who appeared in the examination in the beginning were:
In an examination of a certain class, at least 70% of the students failed in Physics, at least 72% failed in Chemistry, at least 80% failed in Mathematics and at least 85% failed in English. How many at least must have failed in all the four subjects ?
The following question is based on the given data for an examination. A. Candidates appeared 10500 B. Passed in all the five subjects 5685 C. Passed in three subjects only 1498 D. Passed in two subjects only 1250 E. Passed in one subject only 835 F. Failed in English only 78 G. Failed in Maths only 275 H. Failed in Physics only 149 I. Failed in Chemistry only 147 J. Failed in Biology only 221 How many candidates passed in at least four subjects ?
In a bank examination, 25% of the candidates failed in one subject and 32% failed in another subject while 12% failed in both the subjects. If 2000 candidates appeared at the examination, how many failed in either subject but not in both?