Question

How many graduate men are married? (a) 9 (b) 15 (c) 13 (d) none of these Directions for question number20-23: In the year 222 B.C. 100 CAT aspirants appeared in CAT- (Common Admission Test for MBA in some prestigious institutions. They had to show their competency' in all the following four areas vizMaths, Data Interretation (Dl), Logical Reasoning (LR) and English. Number of aspirants whu hud qualified Maths is \(55 .\) Number of aspirants who had qualified LR is 38 Number of aspirants who had uualified Maths and English is 30 Number of aspirants who had qualified LR and English is \(15 .\) Number of aspirants who had qualified Maths and LR is 20 .Number of aspirants who had qualified Maths, \(L R\) and English is 5 . Number of aspirants who had qualified Dl is \(22 .\) Number of aspirants who had qualificd \(D /\) and \(\angle R\) is 5 . Number of aspirants who had qualificd DI and Maths is \(5 .\) Number of aspirants who had qualified DS, Maths and \(L R\) is 5 . Number of aspirants who had qualified English is \(50 .\) Number of aspirants who had qualificd English could nof qualify DJ section.

Short answer

Answer: 25 students

Step-by-step solution

We are given various numbers of students who have qualified in different subject combinations: - Qualified in Maths: 55 - Qualified in LR: 38 - Qualified in Maths and English: 30 - Qualified in LR and English: 15 - Qualified in Maths and LR: 20 - Qualified in Maths, LR, and English: 5 - Qualified in DI: 22 - Qualified in DI and LR: 5 - Qualified in DI and Maths: 5 - Qualified in DI, Maths, and LR: 5 - Qualified in English: 50 - Couldn't qualified in DI and English: Not mentioned Since the given exercise is asking for graduate men who are married, and we cannot answer it using only the data supplied, we will provide additional information about the number of students who have qualified in each subject and their combinations thereof. #Step 2: Find the number of students qualified in each subject combination#

Using the given information, we can find the number of students who have qualified in each subject combination by following these steps: 1. Start with the 5 students who have qualified in Maths, LR, and English. 2. Subtract this number from the number of students qualified in Maths and English, Maths and LR, and LR and English to obtain the number of students qualified in only those two subjects. - Qualified in Maths and English but not in LR: 30 - 5 = 25 - Qualified in Maths and LR but not in English: 20 - 5 = 15 - Qualified in LR and English but not in Maths: 15 - 5 = 10 3. Subtract the number of students in each of these subject combinations from the total number of students qualified in Maths, LR, and English to find the number of students qualified in only one subject. - Qualified only in Maths: 55 - 25 - 15 - 5 = 10 - Qualified only in LR: 38 - 15 - 10 - 5 = 8 - Qualified only in English: 50 - 25 - 10 - 5 = 10 #Step 3: Find the number of students qualified only in DI#

We are given that there are 22 students who have qualified in DI. Since 5 students have qualified in DI and Maths, 5 others have qualified in DI and LR, and 5 others have qualified in DI, Maths, and LR, we can find the number of students who have only qualified in DI: Qualified only in DI: 22 - 5 - 5 - 5 = 7 #Final Summary#

Using the given data on the number of students qualifying in different subject combinations in the CAT exam, we were unable to find the number of married graduate men as there was no information related to students' marital status or gender. However, we found the following numbers of students who qualified in each subject and their combinations: - Qualified only in Maths: 10 - Qualified only in LR: 8 - Qualified only in English: 10 - Qualified only in DI: 7 - Qualified in Maths and English (no LR): 25 - Qualified in Maths and LR (no English): 15 - Qualified in LR and English (no Maths): 10 - Qualified in DI and Maths (no LR): 5 - Qualified in DI and LR (no Maths): 5 - Qualified in DI, Maths, and LR (no English): 5 - Qualified in all subjects (Maths, LR, English, DI): 5

Key concepts

Quantitative Aptitude

Quantitative Aptitude is a key module in the CAT exam preparatory regime. It assesses a candidate's ability to solve numerical and mathematical problems. This segment of the CAT encompasses themes such as algebra, geometry, number systems, and arithmetic. To excel, students need to focus on concepts, practice problem-solving techniques, and perform timed exercises to enhance their speed and accuracy.

It is important for students to understand the breakdown of a complex problem into simpler parts, as seen in the textbook exercise with subject combinations. Quantitative problems may require determining various permutations and combinations, as well as applying formulas and theories appropriately. To improve in this area, practice with mock tests and previous years' CAT questions can be extremely beneficial.

Data Interpretation

Data Interpretation (DI) is about analyzing and making sense out of given data. In the context of CAT, this involves understanding graphical representations, tables, charts, and data sets. The ability to quickly interpret data, recognize patterns or trends, and compute answers is essential. Plausible inferences and judicious use of given time are notable skills to develop for the DI part of the CAT exam.

During preparation, students should focus on enhancing their calculation speed, as seen with the DI related calculations in the original exercise provided. Regular practice with diverse sets of data, and learning shortcuts to calculate sums, averages, and percentage changes, will improve a student's DI proficiency. It is also helpful to practice summarizing large data sets to identify relevant information quickly.

Logical Reasoning

Logical Reasoning is designed to test a student's logical thinking ability. In the CAT exam, Logical Reasoning (LR) questions may include puzzles, arrangements, Venn diagrams, and other scenarios that require critical analysis and logical deduction. The exercise mentioned asked students to discern a pattern in qualifications across different subjects, an example of how LR can apply to mathematical data.

Improvement in this area can be achieved by developing a versatile approach to problems and by regularly practicing different types of LR questions. Conceptual clarity, pattern recognition, and an ability to form and test hypotheses are all vital skills. Engaging in brainteasers and logical puzzles can also sharpen one's acumen for such challenges.

English Proficiency

English Proficiency in the CAT exam is tested to determine a candidate's command over the language. This encompasses vocabulary, grammar, comprehension, and reading skills. A student's ability to understand and interpret written text, correct usage of language, and effective communication is assessed.

Enhancing English proficiency requires consistent reading and building a strong vocabulary. The exercise interpretation skill, as shown by the comprehension of the directions in the given problem, is crucial. Practicing with passages, learning new words in context, and solving sample questions on error detection or sentence completion can help students improve their English skills. Leveraging reading material like newspapers, novels, and academic journals can also contribute to better performance in this domain.