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
singleGeneralIf 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
singleGeneralThe 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
singleGeneralIf log2 log3 log2 x = 1, then the value of x is:
A.512
B.128
C.256
D.None of these
Question 4
singleGeneralThe 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
singleGeneralThe solution set of the linear inequality 3x - 4 < 5 is:
A.x < 3
B.x > 3
C.x <= 3
D.x >= 3
Question 6
singleGeneralA 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
singleGeneralThe 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
singleGeneralIn 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
singleGeneralThe 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
singleGeneralThe 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
singleGeneralFind the missing term in the number series: 2, 6, 12, 20, 30, ?, 56
A.40
B.42
C.44
D.48
Question 12
singleGeneralIf 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
singleGeneralA 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
singleGeneralFive 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
singleGeneralPointing 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
singleGeneralIf 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
singleGeneralOne 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
singleGeneralComplete the number series: 4, 9, 25, 49, 121, ?
A.144
B.169
C.196
D.225
Question 19
singleGeneralIf 'RED' is coded as 27, then the word 'BLUE' is coded as:
A.40
B.38
C.42
D.36
Question 20
singleGeneralSix 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
singleGeneralThe 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
singleGeneralIf 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
singleGeneralThe 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
singleGeneralTwo 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
singleGeneralIf 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
singleGeneralLaspeyres' 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
singleGeneralIf 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
singleGeneralFor 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
singleGeneralIf 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
singleGeneralFisher'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
singleGeneralWhich 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
singleGeneralWhen 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
singleGeneralIf 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
singleGeneralIn 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
singleGeneralThe 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
singleGeneralA 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
singleGeneralThe 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
singleGeneralMarginal 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
singleGeneralThe 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
singleGeneralWhich 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
Mock Exam Settings
5 min25 max