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    💡 CA FOUNDATION

    Solutions to CA Foundation Paper 3 Business Mathematics, Logical Reasoning and Statistics
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    Ratio

    EXERCISE 1A
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    Proportion

    EXERCISE 1B
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    Indices

    EXERCISE 1C
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    Logarithms

    EXERCISE 1D
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    Simple Equations

    EXERCISE 2A, EXERCISE 2B
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    Simultaneous Linear Equations

    EXERCISE 2C, EXERCISE 2D, EXERCISE 2E
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    Quadratic Equation

    EXERCISE 2F, EXERCISE 2G, EXERCISE 2H
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    Cubic Equation

    EXERCISE 2I
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    Linear Inequalities

    EXERCISE 3A
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    Differential Calculus

    Exercise 8A
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    Theoretical Distributions

    Exercise 16A - Set 1
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    💡 CORRELATION ANALYSIS

    Short Course in Hindi & English
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    Posts11

    Concept Correlation Analysis

    Learn the concept, Solve the examples
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    Posts7

    Examples Correlation Analysis

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    Posts4

    💡 Permutation and Combination

    Short Course in Hindi & English
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    Concepts Permutation & Comb...

    Learn the concept, Solve the examples
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    Examples Permutation & Comb...

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    💡 INDEX NUMBERS

    Short Course in Hindi & English
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    Posts9

    Concepts Index Numbers

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    Examples Index Numbers

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    Posts4

    💡 MEASURES OF DISPERSION

    Short Course in Hindi & English
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    Posts17

    Concepts Measure of Dispersion

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    Examples Measure of Dispersion

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    💡 SKEWNESS AND KURTOSIS

    Short Course in Hindi & English
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    Posts7

    Concepts Skewness & Kurtosis

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    Examples Skewness & Kurtosis

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    Posts4

    💡 THEORY OF ATTRIBUTES

    Short Course in Hindi & English
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    Posts12

    Concepts Theory of Attributes

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    Examples Theory of Attributes

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    Posts4

    💡 TIME SERIES

    Short Course in Hindi & English
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    Posts5

    Concepts Time Series

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    Posts4

    Examples Time Series

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    New Posts
    • Maths Platter
      Mar 10
      Example related to Factorials
      Examples Permutation & Comb...
      Question: Simplify [4 (45!) + 46!] / [150 (44!)] Question: Prove [15! / (5! x 10!)] + [15! / (4! x 11!)] = 16! / (5! x 11!) Question: Find 'n' if (16 - n)! / (14 - n)! = 12 Question: Find the LCM of 6!, 7! and 8! Question: Prove 1/9! + 1/10! + 1/11! = 122/11! Question: Simplify (10! - 9!) / 8! Question: If 1/4! + 1/5! = x/6!, find x? Question: Find x if x/10! = 1/8! + 1/9! Question: If (n + 2)! = 2550 (n!), find n? Question: Prove that n!(n + 2) = n! + (n + 1)! Question: Find the value of n if [2n! / 3! (2n - 3)!] : [n! / 2!(n - 2)!] = 44 : 3
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    • Maths Platter
      Mar 09
      What is Factorial?
      Concepts Permutation & Comb...
      Learning Objective: What is Factorial? What is n x (n - 1)! Concept: The product of 'n' natural numbers is called factorial. For example if we multiply first 5 natural numbers, we obtain 5 factorial and if we multiply first 10 natural numbers, we obtain 10 factorial. Factorial is denoted as "!". So the product of n natural numbers is n! (read as n factorial). For example 1 x 2 x 3 .....n = n! For example (Reverse Order) n x (n-1) x (n-2) ..... x 3 x 2 x 1 = n! For example 1 x 2 x 3 x 4 x 5 = 5! For example (Reverse Order) 5 x 4 x 3 x 2 x 1 = 5! For example 1 x 2 x 3 x 4 x 5 x 6 = 6! For example (Reverse Order) 6 x 5 x 4 x 3 x 2 x 1 = 6! Important factorials to remember 6! = 720 5! = 120 4! = 24 3! = 6 2! = 2 1! = 1 0! = 1 Property of Factorials n x (n - 1)! = n! For example if we multiply 5 with 4! [5 x 4!] or [5 x 4 x 3 x 2 x 1], we obtain 5! For example if we multiply 6 with 5! [6 x 5!] or [6 x 5 x 4 x 3 x 2 x 1], we obtain 6! Video: What is Factorial?
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    • Maths Platter
      Mar 02
      Application - Ratio and Finding Value
      Ratio
      Course: CA Foundation; Topic: Ratio Learning Objective: How to solve word problem relating to finding values in ratio? Concept: A ratio is a comparison of the sizes of two or more quantities of the same kind by division. Both the terms of a ratio can be multiplied or divided by the same non-zero number. Usually a ratio is expressed in lowest terms. The order of the terms in a ratio is important. Ratio exists only between quantities of the same kind. Quantities to be compared must be in same units. To compare two ratios, convert them into equivalent like fractions. Exercise 1A, Question 12, CA Foundaton Study Material Question: If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) is …? 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : 54 : 25 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : 8 : 25 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : 17 : 24 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : 18 : 25 Solution Video: Exercise 1A, Question 19, CA Foundaton Study Material Question: If x : y = 3 : 4, the value of x²y + xy² : x³ + y³ is …? 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : (13 : 12) 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : (12 : 13) 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : (21 : 31) 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these Solution Video: Exercise 1A, Question 22, CA Foundaton Study Material Question: If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px + 3qy : 10px + 4qy is …? 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : 71 : 82 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : 27 : 28 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : 17 : 28 𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these Solution Video:
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