CA Foundation Quantitative Aptitude Important Question - Jan 26

  • By Team Koncept
  • 22 December, 2025
CA Foundation Quantitative Aptitude Important Question - Jan 26

CA Foundation Quantitative Aptitude Important Question - Jan 26

Most Expected Questions | CA Foundation Quantitative Aptitude

With the January 2026 CA Foundation exams fast approaching, we've created a blog featuring important practice questions for each chapter of the Quantitative Aptitude syllabus. Whether you're tackling topics like Statistics, Probability, or Time Value of Money, this curated question bank is designed to help you strengthen your problem-solving skills and boost exam confidence. Dive into the most exam-relevant questions to fine-tune your preparation and achieve success in the Quantitative Aptitude paper. Start practicing now and stay ahead of the competition!

Table of Content

Buisness Mathematics 

  1. Ratio and Proportion, Indices, Logarithms 
  2. Equations
  3. Linear Inequalities 
  4. Mathematics of Finance  
  5. Basic Concepts of Permutations and Combinations 
  6. Sequence and Series - Arithmetic and Geometric Peogressions 
  7. Sets, Relations and Functions, Basics of Limits and Continuity functions 
  8. Basic Concepts of Diffrential and Integral Calculus

Logical Reasoning

  1. Number Series, Coding and Decoding and Odd Man Out 
  2. Direction Tests
  3. Seating Arrangements 
  4. Blood Relations 

Statistics

  1. Statistical Representation of Data 
  2. Sampling 
  3. Measures of Central Tendency and DIspersion 
  4. Probability
  5. Theorectical Distributions 
  6. Correlation and Regression 
  7. Index Number 

CA Foundation Jan 26 Important Question Other Subjects Blogs :

  1. Important Question Jan 26 Paper 1 : Accounting
  2. Important Question Jan 26 Paper 2 : Business Laws 
  3. Important Question Jan 26 Paper 4 : Business Economics 
  4. CA Foundation Syllabus (New Updates)

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Buisness Mathematics 

Chapter 1: Ratio and Proportion, Indices, Logarithms

Question 1:

If a : b = 3 : 4, the value of (2a + 3b) : (3a + 4b) is?

  1. 18 : 25
  2. 8 : 25
  3. 17 : 24
  4. None of these

Solution:

Solution:

Question 2:

If (3x + 2y)/(4x - 3y) = 3/2, then find x:y 

  1. 13:6
  2. 13:18
  3. 15:2
  4. 18:6 

Solution:

Question 3:

Suppose a father had a sum of ₹3,600 and he decided to divide this amount among his three sons Anil, Sunil, and Nimal in such a way that 3 times Anil’s share, 6 times Sunil’s share, and 8 times Nimal’s share are all equal. Then Anil’s share is:

  1. ₹ 960
  2. ₹ 1,920
  3. ₹ 720
  4. ₹ 1,860

Solution:

Question 4:

On solving the equation  log t + log(t-3) = 1 we get the value of t as

  1. 5
  2. 2
  3. 3
  4. 0

Solution:

Question 5:

5, 7, 11, ?, 35, 67

  1. 23
  2. 28
  3. 30
  4. 19

Solution:

Question 6:

If 1/2, 1/3 ,1/5 and 1/x are in proportion, then the value of x will be - 

  1. 15/2
  2. 6/5
  3. 10/3
  4. 5/6

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 2: Equations

Question 7:

Form quadratic equation with roots as a – t, a + t

  1. x2 − 2ax + a2 − t2 = 0
  2. x2 + 2ax + a2 − t2 = 0
  3. x2 − 2ax − a2 + t2 = 0
  4. x2 + 2ax − a2+ t2 = 0

Solution:

Question 8:

If α and β are roots of the equation 2x² - 4x + 6 = 0 then the quadratic equation with roots α²/β and β²/α is:

  1. 3x² + 10x + 9 = 0
  2. 3x² - 10x + 9 = 0
  3. x² - 13x + 3 = 0
  4. x² + 10x + 9 = 0

Solution:

Question 9:

If α and β are the roots of the equation 2x² − 6x + 3 = 0, then the equation with the roots α/β and β/α is:

  1. x² + 4x + 1 = 0
  2. x² − 4x + 1 = 0
  3. x² − 4x − 1 = 0
  4. x² + 4x − 1 = 0
 

Solution:

Question 10:

If α and β are roots of the equation x2 - 8x + 12 = 0 then 1/ α + 1/ β = ____

  1. 2/3
  2. 2/4
  3. 3/4
  4. 4/5

Solution:

Question 11:

The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.

  1. 1500
  2. 1600
  3. 1550
  4. None of these 

Solution:

Question 12:

Solving equation 3x2 - 14x + 16 = 0 we get roots as

  1. ±1
  2. 2 and (8/3)
  3. 0
  4. None

Solution:

Question 13:

Solving equation (2x + 1)(2x + 3)(x − 1)(x − 2) = 150  the roots available are

  1. (1 ± √129 / 4)
  2. (7/2) , -3
  3. -(7/2) , 3
  4. None

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 3: Linear Inequalities

Question 14:

On solving the inequalities 6x+ y > 18, x + 4y > 12,2x+ y > 10, we get the following situation : 

  1. (0, 18), (12, 0), (4, 2) & (7, 6)
  2. (3, 0), (0, 3), (4, 2), & (7, 6)
  3. (5, 0), (0, 10), (4, 2) & (7, 6)
  4. (0, 18), (12, 0), (4, 2), (0, 0) and (7, 6) 

Solution:

Question 15:

A dealer has only ₹ 5760 to invest in fans (x) and sewing machines (y). The cost per unit of fan and sewing machine is ₹ 360 and ₹ 240 respectively. This can be shown by :

  1. 360x + 240y ≥ 5760
  2. 360x + 240y ≤ 5760
  3. 360x + 240y = 5760
  4. none of these 

Solution:

Question 16:

Which of the following is a solution of the inequality 5x/3 ≤ x/6 − 5 ?

  1. (−∞ , 10/3]
  2. (−∞ , 10/3)
  3. (−∞ , 8/3]
  4. (−∞ , 8/3)

Solution:

Question 17:

On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day. This situation can be expressed as

  1. 5x + 3y ≤ 30
  2. 5x + 3y > 30
  3. 5x + 3y ≥ 30     x ≥ 0, y ≥ 0
  4. none of these

Solution:

Question 18:

If difference between a number and its positive square root is 12; the numbers are 

  1. 9
  2. 16
  3. 25
  4. None of these

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 4: Mathematics of Finance 

Question 19:

A certain amount is invested in a bank. What annual rate of interest compounded annually becomes 8 times of this investment in 5 years?

(Given that 8(1/5) = 1.515716)

  1. 5.15%
  2. 51.57%
  3. 15.15%
  4. 1.51%

Solution:

Question 20:

What is the rate of simple interest if a sum of money amount ₹ 2,784 in 4 years and ₹ 2,688 in 3 years ?

  1. 1%p.a.
  2. 4%p.a.
  3. 5%p.a.
  4. 8%p.a.

Solution:

Question 21:

The difference between simple and compound interest on a sum of ₹ 10000 for 4 years at the rate of interest 10% per annum is

  1. 650
  2. 640
  3. 641
  4. 600

Solution:

Question 22:

Find the present value of an annuity which pays 200 at the end of each 3 months for 10 years assuming money to be worth 5% converted quarterly?

  1. 3473.86
  2. 3108.60
  3. 6265.38
  4. None of these

Solution:

Question 23:

The effective rate of interest corresponding to a nominal rate 3% p.a payable half-yearly is

  1. 3.2% p.a
  2. 3.25% p.a
  3. 3.0225% p.a
  4. None of these

Solution:

Question 24:

XYZ invested ₹1,68,000 in a business. After a few months, MNP joined in the business by investing ₹1,12,000. At the end of the year, the total profit was divided between them in the ratio 2:1. After how many months did MNP join the business?

  1. 3
  2. 2
  3. 4
  4. 9

Solution:

Question 25:

A sum of money doubles itself in 10 years. The number of years it would treble itself is: 

  1. 25 years
  2. 15 years
  3. 20 years
  4. None 

Solution:

Question 26:

Find the present value of an annuity of ₹ 1,000 payable at the end of each year for 10 years, if the money is worth 5% effective. 

  1. ₹  7,724
  2. ₹ 7,000
  3. ₹ 8,000
  4. none of these

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 5: Basic Concepts of Permutations and Combinations

Question 27:

In how many ways can a party of 4 men and 4 women be seated at a circular table, so that no two women are adjacent ?  

  1. 164
  2. 174
  3. 144
  4. 154

Solution:

Question 28:

If  nP4 = 20(nP2) then the value of ‘n’ is _____ 

  1. -2
  2. 7
  3. -2 and 7 both
  4. None of these

Solution:

Question 29:

In a school, for a class monitor selection, there are 6 candidates, and students need to choose up to 3 monitors. A student can vote for 1 or 2 or 3 candidates. In how many ways a student can vote?

  1. 41
  2. 42
  3. 43
  4. 44

Solution:

Question 30:

A building contractor needs three helpers and ten men apply. In how many ways can these selections take place?

  1. 36
  2. 15
  3. 150
  4. 120

Solution:

Question 31:

The ways of selecting 4 letters from the word EXAMINATION is 

  1. 136
  2. 130
  3. 125
  4. none of these 

Solution:

Question 32:

The marginal revenue function for a product MR = 5 - 4x + 3x². Then the total revenue function is:

  1. 5x - 2x² + x³
  2. 5x + 2x² + x³
  3. 5x + 2x² + x³ + 3
  4. 5x - 2x² - x

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 6: Sequence and Series - Arithmetic and Geometric Peogressions

Question 33:

The sum of progression (a+b), a, (a–b)........n term is

  1. (n/2) [2a + (n − 1)b]
  2. (n/2) [2a + (3 − n)b]
  3. (n/2) [2a + (3 − n)]
  4. (n/2) [2a + (n − 1)]

Solution:

Question 34:

The common difference of the arithmetic progression 1/3 , 1-3b/3 , 1-6b/3 …. is ___________.

  1. -b
  2. b
  3. -3b
  4. 3b

Solution:

Question 35:

The sum of all natural numbers between 200 and 600 those are divisible by 13 is __________.

  1. 12493
  2. 14493
  3. 16493
  4. 18493

Solution:

Question 36:

If the A.M. and G.M. for two numbers are 6.50 and 6 respectively then the two numbers are

  1. 6 and 7
  2. 9 and 4
  3. 10 and 3
  4. 8 and 5

Solution:

Question 37:

Find the sum of n terms of the A.P., whose nᵗʰ term is 5n + 1

  1. n/ 2
  2. 2n/ 7
  3. n(7 + 5n) / 2 
  4. n(7n + 4n)/ 2

Solution:

Question 38:

If the sum of n terms of an A.P be 2n2 + 5 n, then its ‘n’ term is:

  1. 4n – 2
  2. 3n – 4
  3. 4n + 3
  4. 3n + 4 

Solution:

Question 39:

The mean of the values of 1, 2, 3 …………, n with respective frequencies x 2x, 3x, ……… nx is

  1. n+1/2
  2. n/2
  3. 2n+1/3
  4. 2n+1/6

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 7: Sets, Relations and Functions, Basics of Limits and Continuity functions

Question 40:

If f : R →R is a function, defined by f(x) = 2x; then f(x+y) is 

  1. f(x)+f(y)
  2. f(x)* f(y)
  3. f(x)/ f(y)
  4. none

Solution:

Question 41:

If f(y) = [1/(1 + y)] and g(y) = [(y + 1)/y] then fog (y) = ____

  1. [y/(2y+1)]
  2. [2y/(y+1)]
  3. [(2y+1)/y]
  4. [(y+1)/y]

Solution:

Question 42:

If f : R →R is a function, defined by f(x) = 10x-7, if g(x) = f-1(x), then g(x) is equal to 

  1. 1/10x - 1
  2. 1/10x + 1
  3. x + 7 /10
  4. x - 7 /10

Solution:

Question 43:

The number of proper subsets of the set {3, 4, 5, 6, 7} is  

  1. 32
  2. 31
  3. 30
  4. 25

Solution:

Question 44:

If f(x) = x / √(1 + x2) and g(x) = x / √(1 - x2), find f(g(x)).

  1. x
  2. 1/x
  3. x / √(1 - x2)
  4. x (√(1 - x2))

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 8: Basic Concepts of Diffrential and Integral Calculus

Question 45:

The derivative of 8x² − 2x + 5 w.r.t. x is:

  1. 16x + 2
  2. 16x − 2
  3. 16x − 2/x + 5
  4. 16x + 7

Solution:

Question 46:

Given x = 2t + 5; y = t2-2, then dy/dx is calculated as:

  1. t
  2. 1/t
  3. -1/t
  4. none of these

Solution:

Question 47:

Determine f(x), given that f′(x) = 12x² − 4x and f(-3) = 17

  1. f(x) = 4x³ − 2x² + 143
  2. f(x) =6x³ − x4 + 137
  3. f(x) = 3x⁴ − x³ − 137
  4. f(x) = 4x³ − 2x² − 143

Solution:

Question 48:

What is the differential function of √(x² + 2)?

  1. x√(x² + 2) dx
  2. [x / √(x² + 2)] dx
  3. [x² / √(x² - 2)] dx
  4. [-x/ (x² + 2)] dx

Solution:

Question 49:

∫(2x + 5)⁷ dx

  1. (2x + 5)⁷ / 7
  2. (2x + 5)⁸ / 16
  3. (2x² + 5x)⁷ / 2
  4. (2x² + 5x)⁷ / 5

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Logical Reasoning

Chapter 1: Number Series, Coding and Decoding and Odd Man Out

Question 50:

Find the odd one out in the series: 2, 5, 10, 17, 26, 37, 50, 64.

  1. 17
  2. 26
  3. 37
  4. 64

Solution:

Question 51:

If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH?

  1. 246173
  2. 214673
  3. 214763
  4. 216473

Solution:

Question 52:

Find the missing term of series 2, 7, 16, 29, …, 67, 92

  1. 46
  2. 39
  3. 43
  4. 62

Solution:

Question 53:

In a certain language, 'MADRAS' is coded 'NBESBT', how 'DELHI' is coded in that code?

  1. EMMJI
  2. EFMIJ
  3. EMFIJ
  4. JIFEM

Solution:

Question 54:

In a certain language ‘MENTION’ is written as ‘NFOUJPO’, the code of ‘MYSTIFY’ is:

  1. NFOFTJT
  2. NZTUJGZ
  3. LNEITNO
  4. OERESTN

Solution:

Question 55:

In a certain code, GLAMOUR is written as IJCNMWP and MISRULE is written as OGUSSNC, then how will MUSICAL be written in that code?

  1. OSUJECN
  2. OSUHACJ
  3. OSUJACJ
  4. OSUJABJ

Solution:

Question 56:

In the following series, one term is wrong. Find out the wrong term.  48, 50, 82, 170, 290

  1. 48
  2. 50
  3. 82
  4. 170

Solution:

Question 57:

Find the wrong term of the series 121, 143, 165, 186, 209

  1. 143
  2. 165
  3. 186
  4. 209

Solution:

Question 58:

Choose the odd numerical pair group 

  1. 34-43
  2. 55-62
  3. 62-71
  4. 83-92

Solution:

Question 59:

Find odd man out of the following: 

  1. 295
  2. 381
  3. 552
  4. 729

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 2: Direction Tests

Question 60:

Raju started walking 10 kms towards east from his home. He turned right and walked 5 kms to the south to reach his school. In which direction is his school from his home?

  1. North-East
  2. South-East
  3. South-West
  4. North-West

Solution:

Question 61:

A boy from his home, first walks 20 m in North-West direction then 20 m in South - West direction. Next, he walks 20m South - East direction. Finally, he turns towards his house. In which direction is he moving?

  1. North - West
  2. North-East
  3. South – West
  4. South – East 

Solution:

Question 62:

Anil started walking 5 kms towards north, then he turned left and walked 3 kms. Again he turned left and walked 5 kms. Then the total number of kms he walked is:

  1. 8 kms
  2. 13 kms
  3. 3 kms
  4. 5 kms

Solution:

Question 63:

8 leaders P, Q, R, S, T, U, V and W are sitting on a bench facing towards North.

(i) T is fourth to the left of P

(ii) S is fourth to the right of W

(iii) U and R are not sitting at the ends, but they are neighbours of T and Q respectively.

(iv) P is next to the right of W and but left of Q.

Who are sitting at the extreme ends ?

  1. T&S
  2. P&Q
  3. U&R
  4. None

Solution:

Question 64:

A person is facing towards North. He moves 70° clock-wise direction. Again he is moving 300° clock-wise direction. Now, in which direction is he presently facing ?

  1. North-West
  2. South-East
  3. North-East
  4. South-West

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 3: Seating Arrangements

Question 65:

Five persons A, B, C, D, and E are sitting on a bench. A is immediate right of B. E is immediate left of C and immediate right of A. B is the right of D. Which person is sitting in the middle of the bench?

  1. E
  2. B
  3. A
  4. D

Solution:

Question 66:

Five persons are sitting on a bench to be photo graphed , S is to the left of N and to the right of B .M is to the right of N . R is between N amd M . Who is sitting immediate right to R. 

  1. B
  2. N
  3. M
  4. S

Solution:

Question 67:

Seven persons with names T, B, L, A, P, Z and R are standing in a row, facing East. It is given that T is to the right of R; A is between B and Z, L, who is third to the left of B, is at the end; R is fourth to the right of L. Who is at the immediate right of T?

  1. Z
  2. B
  3. P
  4. R

Solution:

Question 68:

Six people, A, B, C, D, E and F are sitting in a hexagonal shape. All the sides of the hexagon so formed are of same length. A is not adjacent to B or C; D is not adjacent to C or E; B and C are adjacent; F is in the middle of D and C. Which of the following is not a correct neighbour pair?

  1. A and F
  2. D and F
  3. B and E
  4. C and F

Solution:

Question 69:

P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre: P is second to the right of T who is the neighbour of R and V. S is not the neighbour of P. V is the neighbour of U. Q is not between S and W. W is not between U and S. Question - Which one is immediate right to the V ? 

  1. P
  2. U
  3. R
  4. T

Solution:

Question 70:

Five students are standing in a circle. Abhinav is between Alok and Ankur. Apurva is on the left of Abhishek. Alok is on the left of Apurva. Who is sitting next to Abhinav on his right?

  1. Apurva
  2. Ankur
  3. Abhishek
  4. Alok

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 4: Blood Relations

Question 71:

Rita told Mani, "The girl I met yesterday at the beach was the youngest daughter of the brother-in-law of my friend's mother." How is the girl related to Rita's friend

  1. Cousin
  2. Daughter
  3. Niece
  4. Aunt

Solution:

Question 72:

B is the brother of A whose only sister is mother of C, D is maternal grandmother of  C How is A related to D?

  1. Aunt
  2. Daughter-in-law
  3. Daughter
  4. Nephew 

Solution:

Question 73:

A girl introduced a boy as the son of daughter of the father of her uncle. The boy is girl's

  1. Father
  2. Son
  3. Uncle
  4. Cousin/Brother

Solution:

Question 74:

Rampal told Arjun, "Yesterday I defeated the only brother of the daughter of my grandmother." Whom did Rampal defeat?

  1. Son
  2. Father 
  3. Brother
  4. Father-in-law 

Solution:

Question 75:

Pointing to a photograph, Rajesh said, “He is Aarav and he is the son of the only daughter of the father of my brother”, how is Rajesh related to the Aarav referred in the photograph?

  1. Nephew
  2. Brother
  3. Father
  4. Maternal Uncle

Solution:

Question 76:

U is father of W, X is son of V, Y is brother of U. If W is sister of X, how is X related to Y?

  1. Sister-in-law
  2. Father
  3. Nephew
  4. Grandson

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Statistics

Chapter 1: Statistical Representation of Data

Question 77:

The Standard deviation is independent of change of

  1. Scale
  2. Origin
  3. Both (a) and (b)
  4. None of these

Solution:

Question 78:

Ogive is used to find:

  1. Median
  2. Mean
  3. Mode
  4. Range

Solution:

Question 79:

According to the empirical rule, if the data form a "bell-shaped “distribution, then the maximum and minimum frequencies occur at __________ and _______ respectively. 

  1. Middle, left end
  2. Middle, right end
  3. End, middle
  4. Middle, ends

Solution:

Question 80:

What is exclusive Series  

  1. In which both upper and lower limit are not included in class frequency
  2. In which lower limit is not included class frequency
  3. In which upper limit is not included in class frequency
  4. None of the above 

Solution:

Question 81:

Median of a distribution can be obtained from:

  1. Historgarm
  2. Frequency Polygon
  3. Less than type ogives
  4. none of these

Solution:

Question 82:

In tabulation, source of data, if any is shown in the:

  1. Stub
  2. Body
  3. Caption
  4. Footnote 

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 2: Sampling

Question 83:

If from a population with 25 members, a random sample without replacement of 2 members is taken, the number of all such samples is 

  1. 300
  2. 625
  3. 50
  4. 600

Solution:

Question 84:

The base year____ 

  1. Is the reference year from which chanes in the index are measured 
  2. Is always last year
  3. Is the first year the index is created
  4. Is the current year the index is created 

Solution:

Question 85:

The weight average of price relatives of commodities when the weight is equal to the value of commodities in base year yields _____index number  

  1. Fisher’s Ideal 
  2. Laspyres
  3. Paasches
  4. Marshall-Edgeworth  

Solution:

Question 86:

After a singing competition on a live TV show, the winner is selected according to the number of likes each candidate has received on a messaging app. This method of data collection is known as ____________ sampling.

  1. Random
  2. Probabilistic
  3. Purposive
  4. Multi-Stage

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 3: Measures of Central Tendency and DIspersion

Question 86:

If Arithmetic Mean and coefficient of variation of x are 5 and 20 respectively. What is the variance of (15-2x)?

  1. 16
  2. 4
  3. 64
  4. 32

Solution:

Question 87:

Consumer Price Index Number goes up from 100 to 200 and salary of a worker is also raised from 300 to 500, then Real Wage is

  1. 300
  2. 250
  3. 600
  4. 350

Solution:

Question 88:

For a moderately skewed distribution of marks in English for a group of 145 students the mean marks and median marks were found to be 55.10 and 52.40, respectively. The modal marks are -

  1. 47
  2. 42
  3. 53.1
  4. 52.2

Solution:

Question 89:

A set contains seven numbers whose average is 12. The average of four greater numbers is 18 and the average of four smaller numbers is 8. Which of the followings is the value of one of the numbers?

  1. 12
  2. 16
  3. 18
  4. 20

Solution:

Question 90:

If the quartile deviation of x is 8 and 3x + 6y = 20, then the quartile deviation of y is

  1. 4
  2. 3
  3. 5
  4. none of these  

Solution:

Question 91:

For open-end classification, which of the following is the best measure of central tendency

  1. AM
  2. GM
  3. Median
  4. Mode

Solution:

Question 92:

The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation is

  1. 10
  2. 20
  3. 20
  4. 8.5

Solution:

Question 93:

The mean salary for a group of 40 female workers is 5200 per month and that for a group of 60 male workers is 6800 per month. What is the combined mean salary?

  1. ₹6160
  2. ₹6280
  3. ₹6890
  4. ₹6920

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 4: Probability

Question 94:

The number of tosses of a coin, that are needed so that the probability of getting at least one head is 0.875, is

  1. 2
  2. 3
  3. 4
  4. 5

Solution:

Question 95:

What is the probability of occurrence of leap year having 53 Sunday?

  1. 1/7
  2. 2/7
  3. 3/7
  4. 4/7

Solution:

Question 96:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:

  1. 21/46
  2. 25/17
  3. 1/50
  4. 3/25

Solution:

Question 97:

In a certain manufacturing process, 5% of the tools produced turn out to be defective. Find the probability that in a sample of 40 tools, at most 2 will be defective: [Given: e-2 = 0.135]  

  1. 0.555
  2. 0.932
  3. 0.785
  4. 0.675 

Solution:

Question 98:

A candidate is selected for interview for 3 posts. For the first there are 3 candidates, for the second there are 4 and for the third there are 2. What are the chances of his getting at least one post?

  1. 3/4
  2. 2/3
  3. 1/10
  4. 1

Solution:

Question 99:

X and Y stand in a line with 6 other people. What is the probability that there are 3 persons between them

  1. 1/5
  2. 1/6
  3. 1/7
  4. 1/3

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 5: Theorectical Distributions

Question 100:

If 5% of the electric bulbs manufactured by a company are defective, use Poisson distribution to find the probability that in a sample of 100 bulbs, 5 bulbs will be defective. [Given : e-5 = 0.007]

  1. 0.1823
  2. 0.1723
  3. 0.1623
  4. 0.1923

Solution:

Question 101:

If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is:

  1. 40
  2. 45
  3. 50
  4. 60

Solution:

Question 102:

The Standard deviation of the ______ distribution is called standard error.

  1. Normal
  2. Poisson
  3. Binomal
  4. Sampling

Solution:

Question 103:

An emergency room receives an average of 3 patients per hour. What is the probability that exactly 2 patients arrive in an hour? (Given: e0 = 1,  e- 1 = 0.367, e- 2 = 0.135, e- 3 = 0.049, e- 4 = 0.018, e- 5 = 0.0067)

  1. 0.22
  2. 0.3
  3. 0.27
  4. 0.25

Solution:

Question 104:

For binomial distribution E(x) = 2, V (x) = 4/3. Find the value of n.

  1. 3
  2. 4
  3. 5
  4. 6
 

Solution:

Question 105:

A manufacturer, who produces medicine bottles, finds that 0.1 % of the bottles are defective. The bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the producer of bottles. Using Poisson 17 distribution, find how many boxes will contains at least two defectives: [Given: e-05 = 0.6065]

  1. 7
  2. 13
  3. 9
  4. 11

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 6: Correlation and Regression

Question 106:

If r = 0.8, then coefficient of determination shall be:

  1. 0.64
  2. 0.40
  3. 0.60
  4. 0.80

Solution:

Question 107:

For a group of students, the sum of squares of differences in ranks for Maths and Physics marks are found to be 60, which is 120 times the value of rank correlation coefficient. How many students are there in the group?

  1. 8
  2. 10
  3. 9
  4. 12

Solution:

Question 108:

The sum of squares of the differences between two ranks awarded by two judges on 10 candidates is _______ if the rank correlation coefficient is 0.8.

  1. 44
  2. 55
  3. 66
  4. 33

Solution:

Question 109:

Given x = 2y + 4 and y = kx + 6 are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5, then the value of k is:

  1. 1/8
  2. 1/4
  3. 1/3
  4. 1/2
 

Solution:

Question 110:

Two variables X and Y are related as 4x + 3y = 7 then correlation between x and y is                    

  1. Perfect Positive
  2. Perfect Negative
  3. Zero
  4. None of these 

Solution:

CA Foundation Quantitative Aptitude Important Question - Jan 26 - 5

Chapter 7: Index Number

Question 111:

Two indices that is current on base and base on current should be reciprocals of each other in

  1. Unit test
  2. Time reversal test
  3. Circular test
  4. Average weighted test

Solution:

Question 112:

The prices of a commodity in the years 2015 and 2020 were 50 and 60 respectively. Price relative of 2015 on 2020 is:

  1. 100
  2. 110
  3. 83.33
  4. 120

Solution:

Question 113:

Consumer price index is commonly known as

  1. Chain Based index
  2. Ideal index
  3. Wholesale price index
  4. Cost of living index.

Solution:

Question 114:

In the data group Bowley’s and Laspeyre’s index number is as follows. Bowley’s index number= 150, Laspeyre’s index number = 180 then Paasche’s index number is: 

  1. 120
  2. 30
  3. 165
  4. none of these

Solution:

Question 115:

If Laspeyre’s index number is 125 and Paasche’s index number is 500 then Fisher’s index number is:

  1. 250.0
  2. 312.5
  3. 62.5
  4. 147.5

Solution:

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