Question

Praveen gets 40 marks out of 50 in Computer Science, 70 out of 100 in Manufacturing science and 142 out of 150 in proffessional communication. The average marks of Praveen (in percent) in all the three subjects is: (a) \(84 \%\) (b) \(76 \%\) (c) \(71 \%\) (d) \(60 \%\)

Short answer

a) 84% b) 88% c) 75% d) 90% Answer: a) 84%

Step-by-step solution

Calculate marks in percentage for each subject individually

To find the marks in percentage for each subject, we divide the marks obtained by the total marks and multiply by 100. Computer Science: \(\frac{40}{50} \times 100 = 80\%\) Manufacturing Science: \(\frac{70}{100} \times 100 = 70\%\) Professional Communication: \(\frac{142}{150} \times 100 = 94.67\%\)

Calculate the average of the marks in percentage

To find the average marks in percentage of all three subjects, we add up the subject-wise percentages and divide the sum by the total number of subjects, which is 3. Average Percentage = \(\frac{80 + 70 + 94.67}{3} \approx 81.56\%\) None of the given options match the exact value, so we will match with the closest option. The closest option is (a) \(84\%\).

Key concepts

Quantitative Aptitude

Quantitative aptitude is a key skill for students and professionals alike. It involves the ability to perform mathematical operations and solve problems dealing with numbers— skills that are essential in a wide range of fields from sciences to commerce and engineering.

Within quantitative aptitude, the ability to calculate averages, percentages and understand their interplay is critical. Let's take Praveen's marks scenario: not only does one need to compute each subject's percentage score, but also understand how to amalgamate these figures to find an overall average. This process of combining different aspects of numerical data to reach a conclusive figure is fundamental in quantitative analysis.

Enhancing quantitative aptitude requires practicing various mathematical problems, focusing on accuracy and speed. Engaging in exercises that involve percentage calculations and average computations, similar to Praveen's problem, serve to sharpen these key analytical skills.

Percentage Problems

Percentage problems are ubiquitous in math and everyday life, representing parts per hundred. The concept becomes particularly useful when comparing ratios or expressing fractions in a uniform way, making them easier to understand and interpret.

In Praveen's case, calculating the percentage for each subject was the first step. It required dividing his score by the total possible marks and then multiplying by 100. This seems straightforward, but can often be a source of errors if not done carefully. After determining the individual percentages, the notion of percentage is extended to finding an average percentage— a task that blends the concepts of percentages and averages.

To become proficient in solving these types of problems, one should practice conversions between fractions, decimals, and percentages, and practice applying these conversions in various contexts.

Average Marks Computation

The computation of average marks is a common statistical method used to find the central value in a dataset. It is achieved by summing up all the individual values and dividing by the count of observations. This is particularly used in academic settings to assess overall performance across multiple subjects or assessments.

In the context of our example with Praveen, after converting his scores into percentages, the next step was to compute the average of these percentages to get a single value that represents his overall performance. Such computations ensure a fair evaluation because it balances out any particularly high or low scores by considering the collective performance.

For students wanting to grasp this concept, practice is key. Try computing averages from different sets of data, and understand how each individual value affects the overall average. This reinforces the importance of each test or performance, no matter the scale.