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Class 11th Applied Maths Questions for Commerce Students

Class 11th Applied Maths provides commerce students with a specialised approach, equipping them with practical skills for future success. Check the Class 11th Applied Maths Questions for Commerce Students.
authorImageJatin Sharma27 Nov, 2024
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Class 11th Applied Maths Questions for Commerce Students

Class 11th Applied Maths: Class 11th Applied Maths is a new subject designed specifically for commerce students, focusing on topics relevant to their field of study. Unlike traditional core maths courses, Applied Maths focuses on providing relevant topics directly related to commerce fields. This subject aims to equip students with practical mathematical skills essential for their future careers.

To aid in their learning journey, We've made a list of the top 10 Class 11th Applied Maths questions with solutions to help students understand important ideas and get ready for their studies and future careers. With Class 11th Applied Maths, commerce students can now engage with mathematics in a way that directly aligns with their interests and aspirations.

Class 11th Applied Maths

Class 11th Applied Maths focuses on practical mathematical concepts and their real-world applications. It includes topics such as mathematical reasoning, sets, relations, and functions, along with algebra, matrices, determinants, and probability. Students learn to solve problems involving linear inequalities, vectors, and statistics, along with understanding the fundamentals of coordinate geometry and calculus. The subject emphasizes the development of problem-solving skills, critical thinking, and logical reasoning. Applied Mathematics aims to provide students with a solid foundation in mathematical concepts that can be applied in various fields, including engineering, economics, and social sciences.

Class 11th Applied Maths Questions With Solutions

Introducing the Top 10 Class 11th Applied Maths Questions With Solutions, Customized for commerce students, these questions and solutions offer practical mathematical practice for academic excellence. Here are the top 10 Class 11th Applied Maths Questions With Solutions for Commerce students: Question 1. Which of the following measures of central tendency is utilized in the construction of index numbers?
  1. Median
  2. Harmonic mean
  3. Mode
  4. Geometric mean
Answer: d) Geometric mean The geometric mean is employed in the construction of index numbers. Question 2. If 3x + y = 0 is tangent to the circle, which has its center at the point (2, – 1), then the equation of the other tangent to the circle from the origin is:
  1. x + 2y = 0
  2. x + 3y = 0
  3. 3x – y = 0
  4. x – 3y = 0
Answer: d) x – 3y = 0 The other tangent will be perpendicular to the given tangent 3x + y = 0. Therefore, its equation is x – 3y + k = 0. Since it passes through the origin, k = 0. Hence, the equation of the other tangent is x – 3y = 0. Question 3. Consider A as the set comprising all students enrolled in a boys' school. The relation R on A is given by R = {(a, b): a is sister of b} is
  1. Empty
  2. Universal
  3. Trivial
  4. Reflexive
Answer: a) Empty Since the relation is defined over the set A, which represents all students of a boys' school. Question 4. Sanjay purchases land for 200,000 and commits to paying an equal sum annually for three years. If the money is worth 8%, then the amount of each instalment is:
  1. ₹ 78895.12
  2. ₹ 75323.48
  3. ₹ 75428.56
  4. ₹ 77594.56
Answer: d) ₹ 77594.56 Question 5. At what time do the hands of the clock meet, between 6: 00 to 7: 00? Answer: At 6 o'clock on a clock, the hour hand points to 6 while the minute hand is at 12, creating an angle of 180° between them. To align with the hour hand, the minute hand needs to cover this 180° distance, moving at a rate of 5.5° per minute. So, the time taken for the minute hand to catch up with the hour hand is calculated by dividing 180° by 5.5° per minute, giving us 32 minutes and 44 seconds. Thus, the hands of the clock coincide at 6:32:44. Question 6. If RAHUL is encoded as 22 – 5 -1 2 – 25 -16, then how will you encode VIRAT? Answer: Here, R is coded as 22, which is its actual position 18 + 4. Similarly, A is coded as 1 + 4 i.e. 5. H is coded as 8 + 4 = 12, U is coded as 21 + 4 = 25 and L is coded as 12 + 4 = 16. V is equivalent to 22 + 4 = 26, I is equivalent to 9 + 4 = 13, R is equivalent to 18 + 4 = 22, A is equivalent to 1 + 4 = 5 and T is equivalent to 20 + 4 = 24. Therefore, ‘VIRAT’ will be coded as 26 – 13 – 22 – 5 – 24. Question 7. Arrange the following words in a logical sequence that makes sense.
  1. Probation, 2. Interview, 3. Selection, 4. Appointment, 5. Advertisement, 6. Application
Answer: 5, 6, 2, 3, 4, 1 As for a job, a person first sees an advertisement, then fills out an application form and goes for an interview. If he/she is selected, they receive an appointment letter, and the final stage is probation. Question 8. Calculate the water bill for an industrial connection with monthly water consumption of 40 kiloliters (Kl). Monthly Consumption of Water = 40 Kl Tariff rates:
  • Upto 20 Kl: Service Charge = ₹ 146.41, Volumetric Charge = ₹ 5.27 per Kl
  • 20-30 Kl: Service Charge = ₹ 219.62, Volumetric Charge = ₹ 26.36 per Kl
  • Above 30 Kl: Service Charge = ₹ 292.82, Volumetric Charge = ₹ 43.93 per Kl
  • Plus Sewer Maintenance Charges: 60% of water volumetric charge
Answer :
  • Volumetric Charge for consumption up to 20 Kl = ₹ 20 × 5.27 = ₹ 105.4
  • Volumetric Charge for consumption between 20-30 Kl = ₹ 10 × 26.36 = ₹ 263.6
  • Volumetric Charge for consumption above 30 Kl = ₹ 10 × 43.93 = ₹ 439.3
Total Volumetric Charge = ₹ (105.4 + 263.6 + 439.3) = ₹ 808.3 Service Charge = ₹ 292.82 Sewage Charges = 60% of Volumetric Charges = ₹ (808.3 × 60%) = ₹ 484.98 Total Water Bill = Service Charge + Total Volumetric Charge + Sewage Charges = ₹ (292.82 + 808.3 + 484.98) = ₹ 1586.1 Therefore, the amount of water bill for the given month is ₹ 1586.1. Question 9. Mr. Saxena from Bhopal, M.R has an electricity connection of 5 kW. He consumed 1264 units in one month. Calculate his electricity bill for that month.
  • Electricity consumed = 1264 units (KWh)
  • Fixed charge = ₹ 250 per kW per month
  • Surcharge = Nil
  • Energy duty = ₹ 0.63 per unit
Tariff plan:
  • 0-50 units: ₹ 4.05 per unit
  • 51-100 units: ₹ 4.95 per unit
  • 101-300 units: ₹ 6.13 per unit
  • Above 300 units: ₹ 6.50 per unit
Answer:
  • For 0-50 units: 50 units × ₹ 4.05 = ₹ 202.5
  • For 51-100 units: 50 units × ₹ 4.95 = ₹ 247.5
  • For 101-300 units: 200 units × ₹ 6.13 = ₹ 1226
  • For above 300 units: 964 units × ₹ 6.50 = ₹ 6266
Total Electricity Charges = ₹ (202.5 + 247.5 + 1226 + 6266) = ₹ 7942 Fixed Charges (₹ 250 per kW) = ₹ (250 × 5) = ₹ 1250 Energy Duty (₹ 0.63 per unit) = ₹ (0.63 × 1264) = ₹ 796.32 Final Bill = Fixed Charges + Total Electricity Charges + Energy Duty = ₹ (1250 + 7942 + 796.32) = ₹ 9988.32 Therefore, Mr. Saxena's electricity bill for the month is ₹ 9988.32. Question 10. Assertion (A): The sum of infinite terms of a geometric progression is given by S∞ = a / (1 - r), provided |r| < 1. Reason (R): The sum of n terms of a geometric progression is given by Sn = a(r^n - 1) / (r - 1). Answer: Both the assertion (A) and the reason (R) are true. In a geometric progression, if the absolute value of the common ratio (r) is less than 1, then the sum of an infinite number of terms can be calculated using the formula S∞ = a / (1 - r), where 'a' is the first term. Additionally, the sum of 'n' terms of a geometric progression is given by Sn = a(r^n - 1) / (r - 1). However, while both statements are true, the reason (R) does not directly explain assertion (A). Therefore, the correct answer is (b). Both A and R are true, but R is not the correct explanation of A.

Also Read: Maths MCQs for CBSE Class 11th and 12th 2024

How to Solve Class 11th Applied Maths Questions?

The following are the 10 steps for commerce students to solve the Class 11th Applied Maths questions for the 2024 exam:
  • Understand the Problem: Read the question carefully to grasp what is being asked. Class 11th Applied Maths questions can vary in topics and complexity, so understanding the problem is crucial.
  • Identify Relevant Concepts: Class 11th Applied Maths covers various topics such as arithmetic, algebra, geometry, and statistics. Identify which concepts or formulas are applicable to the given problem.
  • Organize Given Information: Class 11th Applied Maths questions often provide data or conditions. Organize this information systematically to avoid confusion and ensure all details are accounted for.
  • Plan Your Approach: Before diving into calculations, formulate a plan of action. Decide on the method or steps you'll take to solve the problem efficiently.
  • Apply Appropriate Techniques: Class 11th Applied Maths questions may require different techniques such as algebraic manipulation, geometric reasoning, or statistical analysis. Choose the most suitable approach based on the problem at hand.
  • Perform Calculations Accurately: Class 11th Applied Maths questions often involve calculations. Ensure accuracy by double-checking your work and using proper mathematical operations.
  • Check for Reasonableness: After obtaining your solution, review it to ensure it makes sense in the context of the problem. Class 11th Applied Maths solutions should be logical and realistic.
  • Verify Against Given Conditions: Class 11th Applied Maths questions often come with specific conditions or constraints. Verify that your solution satisfies these conditions to ensure its validity.
  • Interpret and Communicate Results: Once you have the solution, interpret what it means in the context of the problem. Class 11th Applied Maths questions may require you to explain your findings or draw conclusions.
  • Practice Regularly: To excel in solving Class 11th Applied Maths questions, practice regularly. Familiarize yourself with various problem types and hone your problem-solving skills through consistent practice.
By following these steps, you can effectively solve Class 11th Applied Maths questions and tackle a wide range of mathematical problems with confidence.

Also Read: Important Topics and Tips for Class 12th Maths Exam Preparation

Moreover, mastering Class 11th Applied Maths is crucial for commerce students, offering practical skills vital for their academic and professional success. By focusing on important questions tailored to their curriculum, students can sharpen their problem-solving abilities and excel in exams. Therefore, as a premier coaching institute, PW (PhysicsWallah) stands as the ideal choice for commerce students. With its exceptional faculty and comprehensive resources, PW provides unparalleled support, empowering students to navigate Class 11th Applied Maths with confidence and achieve their academic aspirations. Boost your potential with the PW Commerce Online Course - Join Now and Level up on a journey towards academic excellence!
Related Links
Commerce Class 11 Class 11 Commerce Syllabus
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Class 11th Applied Maths FAQs

Is Applied Maths good for commerce students?

Applied Mathematics is highly beneficial for commerce students as it bridges the gap between theoretical mathematical concepts and their practical applications in real-world commerce scenarios. By studying applied mathematics, commerce students gain valuable problem-solving skills and mathematical tools relevant to their field of study and future careers.

What is applied maths in commerce class 11?

Class 11th Applied Mathematics is an elective course designed to integrate mathematical principles with other subjects, fostering logical reasoning and real-world problem-solving skills among students. The syllabus covers a wide range of topics including algebra, calculus, probability, statistics, and financial mathematics, all of which are essential for commerce students.

Which is better: pure maths or applied maths?

Both pure mathematics and applied mathematics are valuable fields, but their focus differs. Pure mathematics explores abstract mathematical concepts and theories, while applied mathematics applies these theories to solve real-world problems. Applied mathematics is often seen as more practical and useful in real-life situations.

Is applied maths difficult?

Applied Mathematics courses can be challenging, but much of the difficulty stems from the perception of mathematics rather than the subject itself. With a strong foundation in basic mathematical concepts, students can approach applied mathematics as a tool for representing and analyzing real-world systems, making it more manageable.

How do you solve Class 11th Applied Maths Questions?

To tackle Class 11th Applied Maths problems effectively, follow these steps: understand the problem, identify relevant concepts, organize information, plan your approach, apply appropriate techniques, ensure accuracy, verify solutions, and practice regularly for improvement.
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