CA FoundationBusiness Mathematics2026

CA Foundation - Business Mathematics (2026)

Download and solve CA Foundation Business Mathematics question paper for 2026. Free English medium medium difficulty paper with model answers and explanations on Plainscan.

Question Paper

Question 1

singleGeneral
1 Marks
If a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7, then the ratio a : d is equal to:
A.16 : 35
B.4 : 35
C.8 : 35
D.12 : 35

Question 2

singleGeneral
1 Marks
The value of the expression (x^a/x^b)^(a+b) x (x^b/x^c)^(b+c) x (x^c/x^a)^(c+a) is:
A.0
B.1
C.x^(a+b+c)
D.None of these

Question 3

singleGeneral
1 Marks
If log2 log3 log2 x = 1, then the value of x is:
A.512
B.128
C.256
D.None of these

Question 4

singleGeneral
1 Marks
The roots of the quadratic equation x^2 - 5x + 6 = 0 are:
A.(2, 3)
B.(-2, -3)
C.(1, 6)
D.(-1, -6)

Question 5

singleGeneral
1 Marks
The solution set of the linear inequality 3x - 4 < 5 is:
A.x < 3
B.x > 3
C.x <= 3
D.x >= 3

Question 6

singleGeneral
1 Marks
A sum of money triples itself in 10 years at simple interest. The rate of interest per annum is:
A.10%
B.20%
C.15%
D.25%

Question 7

singleGeneral
1 Marks
The present value of an ordinary annuity of Rs.1,000 made annually for 5 years at an interest rate of 10% compounded annually is (Given (1.1)^-5 = 0.6209):
A.Rs.3,791
B.Rs.4,100
C.Rs.3,200
D.Rs.4,500

Question 8

singleGeneral
1 Marks
In how many ways can a committee of 4 members be formed from 6 men and 4 women, such that it contains exactly 2 men and 2 women?
A.90
B.120
C.60
D.15

Question 9

singleGeneral
1 Marks
The sum of the first 20 terms of the arithmetic progression 3, 7, 11, 15, ... is:
A.820
B.860
C.780
D.920

Question 10

singleGeneral
1 Marks
The value of the limit lim(x to 2) (x^2 - 4)/(x - 2) is equal to:
A.2
B.4
C.0
D.Undefined

Question 11

singleGeneral
1 Marks
Find the missing term in the number series: 2, 6, 12, 20, 30, ?, 56
A.40
B.42
C.44
D.48

Question 12

singleGeneral
1 Marks
If in a certain code 'MOCK' is written as 'NPDL', how is 'EXAM' written in that code?
A.'FYBN'
B.'FYBM'
C.'FWBN'
D.'EYBN'

Question 13

singleGeneral
1 Marks
A man starts walking towards the East. After walking 10 meters, he turns left and walks 5 meters. Then he turns right and walks 10 meters. In which direction is he now with respect to his starting point?
A.East
B.North-East
C.North
D.South-East

Question 14

singleGeneral
1 Marks
Five people A, B, C, D, and E are sitting in a row facing North. C is sitting in the middle. A is sitting to the immediate left of C. B is sitting to the immediate right of E. If D is at the extreme right end, who is sitting to the immediate left of A?
A.B
B.E
C.D
D.C

Question 15

singleGeneral
1 Marks
Pointing to a photograph, a man says, "She is the daughter of my wife's mother-in-law's only son." How is the woman in the photograph related to the man?
A.Sister
B.Daughter
C.Wife
D.Mother

Question 16

singleGeneral
1 Marks
If A is the brother of B, B is the sister of C, and C is the father of D, how is A related to D?
A.Father
B.Uncle
C.Brother
D.Grandfather

Question 17

singleGeneral
1 Marks
One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. Which direction was Suresh facing?
A.East
B.West
C.North
D.South

Question 18

singleGeneral
1 Marks
Complete the number series: 4, 9, 25, 49, 121, ?
A.144
B.169
C.196
D.225

Question 19

singleGeneral
1 Marks
If 'RED' is coded as 27, then the word 'BLUE' is coded as:
A.40
B.38
C.42
D.36

Question 20

singleGeneral
1 Marks
Six persons P, Q, R, S, T, and U are sitting in a circle facing the center. P is sitting opposite to Q. R is sitting between P and S. T is sitting to the immediate left of Q. Who is sitting opposite to T?
A.R
B.S
C.U
D.P

Question 21

singleGeneral
1 Marks
The best and most suitable method of presenting data to show fluctuations and trends over a period of time is:
A.Histogram
B.Pie Diagram
C.Line Graph
D.Frequency Polygon

Question 22

singleGeneral
1 Marks
If the mean of a moderately asymmetrical distribution is 25 and the median is 24, the mode of the distribution (using empirical relationship) is:
A.22
B.23
C.26
D.28

Question 23

singleGeneral
1 Marks
The standard deviation of the first 5 natural numbers (1, 2, 3, 4, 5) is equal to:
A.sqrt(2)
B.2
C.sqrt(5)
D.5

Question 24

singleGeneral
1 Marks
Two unbiased dice are thrown simultaneously. The probability of obtaining a total sum of 8 is:
A.5/36
B.1/6
C.7/36
D.1/12

Question 25

singleGeneral
1 Marks
If the correlation coefficient between two variables X and Y is 0.8, then the coefficient of determination is:
A.0.8
B.0.64
C.0.16
D.0.9

Question 26

singleGeneral
1 Marks
Laspeyres' price index number formula is weighted by using which of the following variables?
A.Base year quantities
B.Current year quantities
C.Average of base and current year quantities
D.None of these

Question 27

singleGeneral
1 Marks
If P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.2, then the probability P(A or B) is:
A.0.7
B.0.9
C.0.6
D.0.3

Question 28

singleGeneral
1 Marks
For a normal distribution, the mathematical relationship between Mean Deviation (MD) and Standard Deviation (SD) is:
A.MD = (4/5)SD
B.MD = (2/3)SD
C.MD = (5/4)SD
D.MD = SD

Question 29

singleGeneral
1 Marks
If every observation in a statistical series is increased by a constant value of 10, then the standard deviation:
A.Increases by 10
B.Remains unchanged
C.Multiplies by 10
D.Decreases by 10

Question 30

singleGeneral
1 Marks
Fisher's Ideal Index number is mathematically defined as the:
A.Arithmetic Mean of Laspeyres' and Paasche's Index
B.Geometric Mean of Laspeyres' and Paasche's Index
C.Harmonic Mean of Laspeyres' and Paasche's Index
D.None of the above

Question 31

singleGeneral
1 Marks
Which of the following statements best describes the nature of Business Economics?
A.It is purely theoretical and abstract
B.It is normative in nature and pragmatic in approach
C.It is independent of macroeconomic cycles
D.It avoids using mathematical tools

Question 32

singleGeneral
1 Marks
When the price of a substitute commodity Y increases, the market demand for commodity X:
A.Increases
B.Decreases
C.Remains constant
D.Becomes zero

Question 33

singleGeneral
1 Marks
If the percentage change in the quantity demanded of a product is exactly equal to the percentage change in its price, the price elasticity of demand is said to be:
A.Perfectly elastic
B.Unitary elastic
C.Perfectly inelastic
D.Relatively inelastic

Question 34

singleGeneral
1 Marks
In the short run, a firm under perfect competition will continue to produce as long as the market price is sufficient to cover its:
A.Average Variable Cost (AVC)
B.Average Total Cost (ATC)
C.Marginal Cost (MC)
D.Fixed Cost (FC)

Question 35

singleGeneral
1 Marks
The lowest point of a business cycle where the contraction phase ends and the expansion phase begins is known as the:
A.Peak
B.Trough
C.Expansion
D.Recession

Question 36

singleGeneral
1 Marks
A market structure characterized by a single seller selling a unique product with no close substitutes is called a:
A.Perfect Competition
B.Monopoly
C.Monopolistic Competition
D.Oligopoly

Question 37

singleGeneral
1 Marks
The Law of Diminishing Marginal Utility states that as a consumer increases the consumption of a commodity, the marginal utility derived from each additional unit:
A.Increases
B.Decreases
C.Remains constant
D.First increases then decreases

Question 38

singleGeneral
1 Marks
Marginal Cost (MC) is mathematically defined as the:
A.Change in total cost due to producing one additional unit of output
B.Total cost divided by quantity
C.Total variable cost divided by quantity
D.None of the above

Question 39

singleGeneral
1 Marks
The kinked demand curve hypothesis in oligopoly is primarily designed to explain the concept of:
A.Price rigidity
B.Price leadership
C.Collusion
D.Profit maximization

Question 40

singleGeneral
1 Marks
Which of the following macroeconomic indicators is considered a leading indicator of business cycles?
A.Gross Domestic Product (GDP)
B.Interest rates
C.Stock prices
D.Unemployment rate

Paper Details

  • Difficultymedium
  • LanguageEnglish

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