Miscellaneous questions are very important and meaningful. It is advised to practice miscellaneous exercises which are available at the end of the chapters in NCERT books. Mathematics is a very important subject and in order to get a good score, solving miscellaneous exercises is the ideal solution.
Miscellaneous topics help in creating a solid base to solve quantitative aptitude questions in many conceptual examinations. These questions help in understanding the topics more conceptually and regular practice of miscellaneous exercises would sharpen your analytical skills.
Miscellaneous exercises of different chapters are very important to the knowledge on how to solve unknown questions in exams. Many topics such as calculating miscellaneous charges and tax are also important topics in quantitative aptitude.
The different topics under miscellaneous exercise
Miscellaneous questions are very important, especially for the quantitative section of a bank exam. Many topics consist of miscellaneous questions and they can be solved after the completion of the main exercises.
Some of the most important topics whose miscellaneous parts have the best questions are:
Average
Profit and Loss
Simple interest and compound interest
Ratio, proportion, and partnership
Time, speed, and distance
Mensuration
Probability
Permutations and combinations
Mixture and alligation
Time and work
Pipe & Cistern
The miscellaneous exercises from these topics are very important to solve various quantitative questions in examinations. Quantitative aptitude is a major part of a bank or competitive examinations and they hold most of the marks weightage.
Many questions come from the miscellaneous exercises of chapters such as calculating expenses and ratios. Calculating miscellaneous charges are also a part of this topic.
Solved Examples
An example of calculating miscellaneous charges is:
Q) The percentage of expenses in various items during book production and sale are:
Building and cutting charges: 18%
Advertisement: 18%
Royalty cost: 15%
Printing cost: 35%
Miscellaneous charges: 4%
Paper cost: 10%
The miscellaneous charges are expected to be Rs 6000, then what will be the amount for the total building charges when compared to the miscellaneous charges?
Solution: Let us consider and represent the total expenses as “Y”
Thus, 4 percent of Y is estimated to be 6000
Or, Y x 4/100 gives us 6000
Or, Y = 150,000
For, the building expenses incurred = 18 percent of 150000
= 150000 × (18/100)
The Final Answer would be 27,000
Now, in order to determine the difference between the Miscellaneous Expenses incurred and the Total Cutting and Building Expenses we now have to subtract the two numbers with each other.
Therefore, [Cutting and Building Expenses – Miscellaneous Expenses] = (27000 – 6000)
The Difference = Rs. 21000.
Here is another example of miscellaneous exercises on the topic of time and work:
Q) In the beginning, Shyam works at a rate such that he can finish your piece of work in 24 hours but he only works at this rate for 16 hours. After that, he works at a rate such that he can do the whole work in 18 hours. If Shyam has to finish his work at a stretch, how many hours will he take to finish this work?
Solution:
Shyam’s 16 hr work= 16/24= ⅔
Remaining work= 1-⅔=⅓
Using the work and time formula:
This will be completed in 1/3×18=6 hrs
The total time is taken to complete the work=16+6= 22 hrs.
Conclusion
This is the entire concept of Miscellaneous Examples explained. Miscellaneous questions are very integral examinations that come under the section of quantitative aptitude. Miscellaneous exercises help the students to gain proficiency. Practicing miscellaneous questions will be helpful for examinations as well.