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Questions and Answers
If point P divides line segment AB in the ratio k : 1, what will the coordinates of P be if the coordinates of A are (x1, y1) and B are (x2, y2)?
If point P divides line segment AB in the ratio k : 1, what will the coordinates of P be if the coordinates of A are (x1, y1) and B are (x2, y2)?
- ($\frac{kx_2}{k-1}$,$\frac{ky_2}{k-1}$)
- ($\frac{kx_2+kx_1}{k+1}$,$\frac{ky_2+ky_1}{k+1}$)
- ($\frac{kx_1 + x_2}{k}$,$\frac{ky_1 + y_2}{2}$) (correct)
- None of the above
If a certain sum becomes 3 times itself in four years (compounded annually). In how many years will it become 27 times itself at the same rate of interest?
If a certain sum becomes 3 times itself in four years (compounded annually). In how many years will it become 27 times itself at the same rate of interest?
- 10 years
- 16 years
- 12 years (correct)
- 15 years
A person spends 15% of their income on food. If their income increases by 20%, by what percentage will their spending on food increase?
A person spends 15% of their income on food. If their income increases by 20%, by what percentage will their spending on food increase?
18
The following table shows the expenditure of a company from 2015 to 2019. What is the average amount of interest paid per year by the company during this period?
The following table shows the expenditure of a company from 2015 to 2019. What is the average amount of interest paid per year by the company during this period?
In a bar graph, the number of men and women in different organizations A, B, C, D, and E is given. What is the ratio of the average number of women to the average number of men in all five organisations?
In a bar graph, the number of men and women in different organizations A, B, C, D, and E is given. What is the ratio of the average number of women to the average number of men in all five organisations?
Flashcards
Section Formula: Finding Point P
Section Formula: Finding Point P
The coordinates of point P that divides line segment AB with endpoints A(x1, y1) and B(x2, y2) in the ratio k:1 are given by: P( (kx2 + x1)/(k + 1), (ky2 + y1)/(k + 1) )
Compound Interest: Tripling and 27 times
Compound Interest: Tripling and 27 times
If an amount triples in 'n' years with compound interest, it becomes 27 times in 3n years because 27 is 3 cubed.
Calculating Expense Increase (Savings Constant)
Calculating Expense Increase (Savings Constant)
If income increases by 20% and Savings unchanged, Expense increase relates to Savings decrease. Savings Decrease = (Initial Income - New Income) * Savings Rate = (100 - 120) * 15/100 = -3. Expenses increase compensate this loss in proportion to Expenses.
Average Interest Paid in a Period
Average Interest Paid in a Period
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Average Male and Female Members
Average Male and Female Members
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Study Notes
Question 54 - Coordinate Geometry
- Given points A(x1, y1) and B(x2, y2), the coordinates of point P that divides AB in the ratio k:1 are: ((kx2 + x1)/(k+1) , (ky2 + y1)/(k+1)).
Question 55 - Time and Work
- A sum of money triples in 4 years at a compound interest rate.
- To determine the time to become 27 times the initial amount, use the equation: (1+r)n = 27.
- The answer is 12 years.
Question 56 - Percentage Change
- Sonu saves 15% of her income.
- Her income increases by 20%.
- To maintain the same savings, her expenditure must increase by 23.8%.
Question 57 - Data Interpretation
- Data on expenses (salary, fuel, etc.) for a company from 2015 to 2019.
- The average amount spent on interest each year is calculated.
- The correct answer is ₹30.7 lakhs
Question 58 - Data Interpretation
- A bar graph shows the number of male and female members in different organizations (A, B, C, D, E).
- The ratio of the average number of males to females across all organizations is 51:49.
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Description
Test your knowledge on key concepts from Chapter 5 of Mathematics, covering topics such as coordinate geometry, time and work, percentage change, and data interpretation. This quiz will challenge your understanding with practical problem-solving questions and data analysis.
