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Last year, there were three sections in a competitive exam. Out of them 33 students cleared the cut-off in Section A, 34 students cleared the cut-off in Section B and 32 students cleared the cut-off in Section C. 10 students cleared the cut-off in section A and section B, 9 cleared the cut-off in section B and section C and 8 cleared the cut-off in section A and section C. The number of students who cleared only one section was equal and was 21 for each section. How many students cleared all the three sections?
In an examination, questions were asked in five sections. Out of the total students, 5% candidates cleared the cut-off in all the sections and 5% cleared none. Of the rest, 25% cleared only one section and 20% cleared four sections. If 24.5% of the entire candidates cleared two sections and 300 candidates cleared three sections. Find out how many candidates appeared at the examination?
An examination consists of four sections viz. Maths, Science, English and Hindi. Certain number of students registered for the examination in which 12% did not appear for the examination and 8% of the total registered students were not able to clear any section. 12.5% of the appeared students cleared only Maths section, 25% of the appeared students cleared only Maths and Science section. 13% of the total registered students cleared only Maths, Science and English section. If the remaining students who appeared for the examination are 51 and cleared all the four sections, then what is the total number of students who appeared for the examination? (Note: No other case is possible other than given in the question) 
In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement All fog is smoke. No smog is fog. Conclusion Some fog is smog. Some smog is fog.
Consider the following statements for cooling towers: 1. Cooling tower is an artificial device used to cool the hot cooling water coming out of condenser more effectively. 2. The amount of water usually lost with induced draft cooling tower ranges from 5% to 6% by evaporation. 3. The amount of water usually lost with induced draft cooling tower ranges from 7% to 8% by drift losses. 4. The rate of evaporation of water and its cooling effect on the remaining water depends upon the relative humidity of air passing through the tower. Which of the above statements are correct?
In a group of 100 higher secondary students, 50 students have cleared NDA exam, 40 students have cleared JEE exam and 30 students have cleared both the exams. How many such students are there who have neither qualified NDA nor JEE exam.
An aptitude exam is held every year and a lot of applicants apply for it. But only few appear for the exam, and very few are able to clear the exam. In 2017, only 45% of the applicants appeared for the exam, out of which only 40% cleared the exam. In 2018, only 60% of the applicants appeared for the exam, out of which only 35% cleared the exam. If the number of applications increased by 20% from 2017 to 2018, what is the percentage increase in the number of applicants that cleared the exam?
In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement 1: All clouds are fog. Statement 2: All fog are white. Conclusion I: Some white are clouds. Conclusion II: Some fog are clouds.
In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement I: Some clouds are fog Statement II: All clouds are mist Conclusion I: Some fog are mist Conclusion II: All mist are fog
In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to beat variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement 1 : All clouds are fog.
Statement 2 : All fog are white. Conclusion I : Some white are clouds.
Conclusion II : Some fog are clouds.