CR Formula- For RAS RTS Mains Exam and Ras Rts Prelims Examination

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<–2/”>a >C. Rajagopalachari’s formula (or C. R. formula or Rajaji formula) was a proposal formulated by Chakravarthi Rajagopalachari to solve the political deadlock between the All India Muslim League and Indian National Congress on independence of India from the British. C. Rajagopalachari, a Congress leader from Madras, devised a proposal for the Congress to offer the League the Muslim Pakistan based onplebiscite of all the peoples in the regions where Muslims made a majority. Although the formula was opposed even within the Congress party,Gandhi used it as his proposal in his talks with Jinnah in 1944. However, Jinnah rejected the proposal and the talks failed.
The CR Formula entailed
i. The League was to endorse the Indian demand for independence and to co-operate with the Congress in formation of Provisional Interim Government for a transitional period.
ii. At the end of the War, a commission would be appointed to demarcate the districts having a Muslim Population in Absolute Majority and in those areas plebiscite to be conducted on all inhabitants (including the non-Muslims) on basis of adult suffrage.
iii. All parties would be allowed to express their stance on the partition and their views before the plebiscite.
iv. In the event of separation, a mutual agreement would be entered into for safeguarding essential matters such as defence, Communication and commerce and for other essential Services.
v. The transfer of population, if any would be absolutely on a voluntary basis.
vi. The terms of the binding will be applicable only in case of full transfer of power by Britain to Government of India.,

The CR Formula is a set of formulas that are used to solve problems in a variety of areas, including Number System, algebra, geometry, trigonometry, MENSURATION, statistics, Probability, time and work, Simple Interest, Compound Interest, profit and loss, DISCOUNT, PARTNERSHIP, stock and share, ratio and proportion, Average, time, speed and distance, work and wages, pipes and cisterns, Hcf And Lcm, divisibility, calendar, clocks, blood relations, analogy, Classification, coding and decoding, direction sense test, number series, puzzles, seating arrangement, test of reasoning, Data Interpretation, general knowledge, and current affairs.

The CR Formula is a valuable resource for students who are preparing for competitive exams such as the RAS RTS Mains Exam and the RAS RTS Prelims Examination. The formulas are easy to understand and use, and they can help students to solve problems quickly and accurately.

The CR Formula is divided into the following sections:

  • Number System
  • Algebra
  • Geometry
  • Trigonometry
  • Mensuration
  • Statistics
  • Probability
  • Time and Work
  • Simple Interest
  • Compound Interest
  • Profit and Loss
  • Discount
  • Partnership
  • Stock and Share
  • Ratio and Proportion
  • Average
  • Time, Speed and Distance
  • Work and Wages
  • Pipes and Cisterns
  • HCF and LCM
  • Divisibility
  • Calendar
  • Clocks
  • Blood Relations
  • Analogy
  • Classification
  • Coding and Decoding
  • Direction Sense Test
  • Number Series
  • Puzzles
  • Seating Arrangement
  • Test of Reasoning
  • Data Interpretation
  • General Knowledge
  • Current Affairs

Each section contains a list of formulas, as well as examples of how to use the formulas to solve problems. The CR Formula is a valuable resource for students who are preparing for competitive exams.

Here are some examples of how to use the CR Formula:

  • To find the sum of two numbers, use the formula $a + b$.
  • To find the difference of two numbers, use the formula $a – b$.
  • To find the product of two numbers, use the formula $a \times b$.
  • To find the quotient of two numbers, use the formula $\frac{a}{b}$.
  • To find the average of a set of numbers, use the formula $\frac{a_1 + a_2 + \cdots + a_n}{n}$.
  • To find the simple interest on a loan, use the formula $I = PRT$, where $I$ is the interest, $P$ is the principal amount, $R$ is the interest rate, and $T$ is the time in years.
  • To find the compound interest on a loan, use the formula $A = P(1 + r/n)^nt$, where $A$ is the final amount, $P$ is the principal amount, $r$ is the interest rate, $n$ is the number of times per year that interest is compounded, and $t$ is the number of years.
  • To find the profit or loss on a sale, use the formula $P = S – C$, where $P$ is the profit or loss, $S$ is the selling price, and $C$ is the cost price.
  • To find the discount on a sale, use the formula $D = S – P$, where $D$ is the discount, $S$ is the selling price, and $P$ is the marked price.
  • To find the amount of Money that each partner in a partnership will receive, use the formula $A = \frac{x}{x + y + z}$, where $A$ is the amount of money that each partner will receive, $x$ is the amount of money that the first partner invested, $y$ is the amount of money that the second partner invested, and $z$ is the amount of money that the third partner invested.
  • To find the value of a share, use the formula $V = \frac{P}{N}$, where $V$ is the value of the share, $P$ is the Market Price of the share, and $N$ is the number of Shares.
  • To find the ratio of two quantities, use the formula $\frac{a}{b}$, where $a$ is the first quantity and $b$ is the second quantity.
  • To find the proportion of two quantities, use the formula $\frac{a}{b} = \frac{c}{d}$, where $a$ is the first quantity, $b$ is the second quantity, $c$ is the third quantity, and $d$ is the fourth quantity.
  • To find the average speed of an object, use the formula $S = \

Here are some frequently asked questions and short answers about CR Formula- For RAS RTS Mains Exam and Ras Rts Prelims Examination:

  1. What is CR Formula?
    CR Formula is a mathematical formula that is used to calculate the correlation coefficient between two variables. The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

  2. How do I use CR Formula?
    To use CR Formula, you need to know the values of the two variables that you want to correlate. Once you have the values of the two variables, you can plug them into the formula and solve for the correlation coefficient.

  3. What is the significance of CR Formula?
    CR Formula is a very important tool for data analysis. It can be used to determine whether there is a linear relationship between two variables, and to measure the strength and direction of that relationship.

  4. What are some of the limitations of CR Formula?
    CR Formula is a very powerful tool, but it does have some limitations. One limitation is that it can only be used to measure linear relationships. If the relationship between two variables is not linear, then CR Formula will not be able to accurately measure the relationship.

  5. What are some of the applications of CR Formula?
    CR Formula can be used in a variety of applications, including:

  6. Data analysis

  7. Market research
  8. Survey research
  9. Psychological research
  10. Medical research

  11. Business research

  12. What are some of the sources of error in CR Formula?
    There are a few sources of error that can affect the accuracy of CR Formula. One source of error is the measurement error of the two variables. If the two variables are not measured accurately, then the correlation coefficient will be inaccurate.

Another source of error is the sampling error. If the two variables are not sampled randomly, then the correlation coefficient will be inaccurate.

Finally, the correlation coefficient can be affected by the presence of outliers. Outliers are data points that are very different from the other data points. If there are outliers in the data, then the correlation coefficient can be inaccurate.

  1. What are some of the ways to reduce the error in CR Formula?
    There are a few ways to reduce the error in CR Formula. One way is to improve the measurement of the two variables. If the two variables are measured more accurately, then the correlation coefficient will be more accurate.

Another way to reduce the error is to increase the sample size. If the two variables are sampled more randomly, then the correlation coefficient will be more accurate.

Finally, you can reduce the error by removing outliers from the data. If there are outliers in the data, you can remove them and then calculate the correlation coefficient.

  1. What are some of the tips for using CR Formula?
    Here are a few tips for using CR Formula:

  2. Make sure that the two variables are measured accurately.

  3. Make sure that the two variables are sampled randomly.
  4. Remove any outliers from the data.
  5. Use a large sample size.

  6. Use a statistical Software package to calculate the correlation coefficient.

  7. What are some of the common mistakes people make when using CR Formula?
    Here are a few common mistakes people make when using CR Formula:

  8. Not measuring the two variables accurately.

  9. Not sampling the two variables randomly.
  10. Not removing outliers from the data.
  11. Using a small sample size.

  12. Not using a statistical software package to calculate the correlation coefficient.

  13. What are some of the Resources available for Learning more about CR Formula?
    Here are a few resources available for learning more about CR Formula:

  14. Books on statistics

  15. Online tutorials
  16. Statistical software packages
  17. Statistical consulting services

  1. The formula for calculating the area of a circle is:
    (A) πr2
    (B) πr
    (C) 2πr
    (D) 4πr

  2. The formula for calculating the volume of a sphere is:
    (A) 4/3πr3
    (B) 3/4πr3
    (C) 2/3πr3
    (D) 1/3πr3

  3. The formula for calculating the surface area of a sphere is:
    (A) 4πr2
    (B) 2πr2
    (C) πr2
    (D) 3πr2

  4. The formula for calculating the circumference of a circle is:
    (A) 2πr
    (B) πr
    (C) 3πr
    (D) 4πr

  5. The formula for calculating the area of a triangle is:
    (A) 1/2bh
    (B) bh
    (C) 2bh
    (D) 3bh

  6. The formula for calculating the volume of a cone is:
    (A) 1/3πr2h
    (B) 1/2πr2h
    (C) 2/3πr2h
    (D) 3/4πr2h

  7. The formula for calculating the surface area of a cone is:
    (A) πr2 + πrl
    (B) 2πr2 + πrl
    (C) 3πr2 + πrl
    (D) 4πr2 + πrl

  8. The formula for calculating the circumference of a semicircle is:
    (A) πr
    (B) 2πr
    (C) 3πr
    (D) 4πr

  9. The formula for calculating the area of a semicircle is:
    (A) 1/2πr2
    (B) πr2
    (C) 2πr2
    (D) 3πr2

  10. The formula for calculating the volume of a cylinder is:
    (A) πr2h
    (B) 2πr2h
    (C) 3πr2h
    (D) 4πr2h

  11. The formula for calculating the surface area of a cylinder is:
    (A) 2πr2 + 2πrh
    (B) 2πr2 + 4πrh
    (C) 3πr2 + 4πrh
    (D) 4πr2 + 4πrh

  12. The formula for calculating the circumference of a rectangle is:
    (A) 2(l + b)
    (B) 2l + 2b
    (C) 3l + 2b
    (D) 4l + 2b

  13. The formula for calculating the area of a rectangle is:
    (A) lw
    (B) l2
    (C) 2lw
    (D) 3lw

  14. The formula for calculating the volume of a rectangular prism is:
    (A) lwh
    (B) 2lwh
    (C) 3lwh
    (D) 4lwh

  15. The formula for calculating the surface area of a rectangular prism is:
    (A) 2lw + 2lh + 2wh
    (B) 2lw + 4lh + 2wh
    (C) 3lw + 4lh + 2wh
    (D) 4lw + 4lh + 2wh

  16. The formula for calculating the circumference of a square is:
    (A) 4s
    (B) 2s
    (C) 3s
    (D) 5s

  17. The formula for calculating the area of a square is:
    (A) s2
    (B) 2s2
    (C) 3s2
    (D) 4s2

  18. The formula for calculating the volume of a square prism is:
    (A) s2h
    (B) 2s2h
    (C) 3s2h
    (D) 4s2h

  19. The formula for calculating the surface area of a square prism is:
    (A) 4s2
    (B) 8s2
    (C) 12s2
    (D) 16s2

  20. The formula for calculating the area