Mathematics and Science Exam Analysis

Examination Question Analysis

• Students passed in mathematics only = 40%
• Students passed in science only = 30%
• Students failed in both subjects = 10%
• Unknown percentage passed in both subjects (needs to be calculated)

Percentage of Students Passed in Both Subjects

• Missing data to determine the desired percentage.

Venn Diagram Representation

• Data needs to be organized in a Venn diagram to visually represent the results of the examination.

Tax Rates (2079/80 Fiscal Year)

• Tax rates vary based on income brackets.
• Specific tax rates for different salary or income levels are detailed in the provided text.

Sunil's Annual Income

• Sunil's monthly salary = Rs. 50,000
• Bonus for festival expenses = One month's salary
• Total annual income (with festival expenses) = needs to be calculated.

Tax Calculation for Sunil

• Given data on different tax rates, determine the total annual tax for Sunil given his income and life insurance policy value

Commission Rate Formula

• Formula for calculating commission percentage:
• Commission % = (Commission amount / Selling price) * 100%

Commission Calculation for Rs. 24 Lakhs

• Calculate the commission amount for selling goods worth Rs. 24 lakhs using the relevant commission rates.

Minimum Sales Value for Rs. 25,000 Commission

• Determine the minimum value of goods to be sold to attain a commission of Rs. 25,000 by applying the provided commission rates.

Taxi Fare Calculation

• Manoj traveled 15 km at a given time frame
• Different rates for different time periods, need to consider the exact time interval.
• Calculate the total cost incurred by Manoj.

Prism Geometry

• Formula for calculating volume of a prism: V = A × h
• Calculate the area of the cross-section of the prism.
• The volume of a given prism

Spherical Football Surface Area

• Formula for finding the volume of a sphere.
• Calculate the height of the football from the given surface area.
• Finding difference in surface area if radius is doubled

Scalene Triangle

• Find semi-perimeter and area of the provided scalene triangle.

Geometric Sequence

• Common ratio = 3
• Sixth term = 243
• Determining the first term and 7th term of the geometric sequence.
• Find the term which is 6561 in the sequence

Factoring and Value Calculations

• Factorize the given expression.
• Calculate the value using given parameters.

Pen and Copy Cost

• Determine the price of a pen and a copy based on given information.
• Determine the number of pens and copies which can be bought for Rs. 616.

Isosceles Triangle

• Prove the given theorem using the isosceles triangle.

Parallelogram and Quadrilateral

• Relationship of opposite sides of a parallelogram
• Find the value of x given angles of a parallelogram. Construct a scalene quadrilateral using given dimensions.

Circle Properties

• Find the value of AP given the circle properties.
• Calculate the diameter of the circle.
• Determine if doubling the chord and distance to chord also doubles the radius.

Continuous Series

• Data presented in continuous series

This quiz explores the results of a student examination in mathematics and science, including the calculation of percentages for students passing in both subjects. Additionally, it examines tax rates for the fiscal year and a practical application relating to an individual's income. Participants will analyze data to create visuals and perform calculations.