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Page 1
1
Test Series: April, 2019
Mock Test Paper -2
Foundation Course
Paper 3: Business Mathematics, Logical Reasoning and Statistics
Time: 120 Minutes Maximum Marks: 100
Part A : Business Mathematics and Logical Reasoning
1. If x:y:z = 2: 3:5 if x+ y+ z = 60 ,then the value of z
(a) 30
(b) 15
(c) 9
(d) 12
2. The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8:
9. What is the number added to each of the ratio?
(a) 6
(b) 15
(c) 17
(d) 23
3. If
2 3 2
42
a b c
= = then
3 4 5
a b c
a b c
??
??
is
(a)
11
19
(b)
17
9
(c)
19
9
(d)
19
7
4. Simplify
1
1
22
22
nn
nn
?
?
?
?
=
(a) 2
n+2
(b) 2
n
(c) 2
(d)
1
2
5. If. 2
a
= 3
b
= 12
c
then
11
+ =
ab
(a)
1
c
© The Institute of Chartered Accountants of India
Page 2
1
Test Series: April, 2019
Mock Test Paper -2
Foundation Course
Paper 3: Business Mathematics, Logical Reasoning and Statistics
Time: 120 Minutes Maximum Marks: 100
Part A : Business Mathematics and Logical Reasoning
1. If x:y:z = 2: 3:5 if x+ y+ z = 60 ,then the value of z
(a) 30
(b) 15
(c) 9
(d) 12
2. The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8:
9. What is the number added to each of the ratio?
(a) 6
(b) 15
(c) 17
(d) 23
3. If
2 3 2
42
a b c
= = then
3 4 5
a b c
a b c
??
??
is
(a)
11
19
(b)
17
9
(c)
19
9
(d)
19
7
4. Simplify
1
1
22
22
nn
nn
?
?
?
?
=
(a) 2
n+2
(b) 2
n
(c) 2
(d)
1
2
5. If. 2
a
= 3
b
= 12
c
then
11
+ =
ab
(a)
1
c
© The Institute of Chartered Accountants of India
2
(b)
11
-
ca
(c) -
1
c
(d) 0
6. The value of log 64512 is
(a) 9
(b) 9/2
(c) 9/4
(d) 3/2
7. The value of of (log b a log c b log a c)
3
=
(a) 1
(b) 3
(c) (log b C)
3
(d) (log c b)
3
8. If a and ß be the roots of the equation 2x
2
-4x-3=0 the value of a
2
+ß
2
is
(a) 5
(b) 7
(c) 3
(d) -4
9. If one root of the equation x
2
+ 7x+ p = 0 be reciprocal of the other then the value of p is________.
(a) 1
(b) -1
(c) 7
(d) -7
10. Let A =
23
45
??
??
??
; B=
15
67
??
??
??
then the value 3A-B
(a)
4 14
9 11
?? ??
??
??
(b)
4 14
9 11
? ??
??
??
??
(c)
4 14
9 11
? ??
??
??
(d)
54
68
??
??
??
© The Institute of Chartered Accountants of India
Page 3
1
Test Series: April, 2019
Mock Test Paper -2
Foundation Course
Paper 3: Business Mathematics, Logical Reasoning and Statistics
Time: 120 Minutes Maximum Marks: 100
Part A : Business Mathematics and Logical Reasoning
1. If x:y:z = 2: 3:5 if x+ y+ z = 60 ,then the value of z
(a) 30
(b) 15
(c) 9
(d) 12
2. The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8:
9. What is the number added to each of the ratio?
(a) 6
(b) 15
(c) 17
(d) 23
3. If
2 3 2
42
a b c
= = then
3 4 5
a b c
a b c
??
??
is
(a)
11
19
(b)
17
9
(c)
19
9
(d)
19
7
4. Simplify
1
1
22
22
nn
nn
?
?
?
?
=
(a) 2
n+2
(b) 2
n
(c) 2
(d)
1
2
5. If. 2
a
= 3
b
= 12
c
then
11
+ =
ab
(a)
1
c
© The Institute of Chartered Accountants of India
2
(b)
11
-
ca
(c) -
1
c
(d) 0
6. The value of log 64512 is
(a) 9
(b) 9/2
(c) 9/4
(d) 3/2
7. The value of of (log b a log c b log a c)
3
=
(a) 1
(b) 3
(c) (log b C)
3
(d) (log c b)
3
8. If a and ß be the roots of the equation 2x
2
-4x-3=0 the value of a
2
+ß
2
is
(a) 5
(b) 7
(c) 3
(d) -4
9. If one root of the equation x
2
+ 7x+ p = 0 be reciprocal of the other then the value of p is________.
(a) 1
(b) -1
(c) 7
(d) -7
10. Let A =
23
45
??
??
??
; B=
15
67
??
??
??
then the value 3A-B
(a)
4 14
9 11
?? ??
??
??
(b)
4 14
9 11
? ??
??
??
??
(c)
4 14
9 11
? ??
??
??
(d)
54
68
??
??
??
© The Institute of Chartered Accountants of India
3
11.
a b a b
b a b a
? ? ? ? ?
?
? ? ? ?
?
? ? ? ?
(a)
22
22
0
0
ab
ab
?? ?
??
?
??
(b)
22
22
0
0
ab
ab
?? ??
??
?
??
(c)
22
22
0
0
ab
ab
?? ?
??
?
??
(d)
22
22
0
0
ab
ab
?? ?
??
?
??
12. Mr. A plans to invest up to Rs. 30,000 in two stocks X and Y. Stock X(x) is priced at Rs.175 and Stock
Y(y) at Rs.95 per share. This can be shown by
(a) 175x+95y < 30,000
(b) 175x+95y > 30,000
(c) 175x+95y = 30,000
(d) None of these
13. A sum of money doubles itself at compounded interest in 10 years in how many years will it becomes
eight times?
(a) 20
(b) 30
(c) 40
(d) 35
14. A machine costs Rs .1,00, 000. The depreciation rate is 10% per annum. The scrap value of the machine
at the end of 5 years is
(a) Rs.49490
(b) Rs. 59049
(c) Rs.61029
(d) Rs.51049
15. Rs. 10,000 is invested at annual rate of interest of 10% p.a. The amount after two years at annual
compounding is
(a) Rs. 21100
(b) Rs. 12100
(c) Rs. 12110
(d) None of these
16. The annual birth rate and death rate per 1000 are 39.4 and 19.4 respectively. The number of years in
which population will be doubled assuming that there is no immigration or emigration is approximately
(a) 40 years
© The Institute of Chartered Accountants of India
Page 4
1
Test Series: April, 2019
Mock Test Paper -2
Foundation Course
Paper 3: Business Mathematics, Logical Reasoning and Statistics
Time: 120 Minutes Maximum Marks: 100
Part A : Business Mathematics and Logical Reasoning
1. If x:y:z = 2: 3:5 if x+ y+ z = 60 ,then the value of z
(a) 30
(b) 15
(c) 9
(d) 12
2. The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8:
9. What is the number added to each of the ratio?
(a) 6
(b) 15
(c) 17
(d) 23
3. If
2 3 2
42
a b c
= = then
3 4 5
a b c
a b c
??
??
is
(a)
11
19
(b)
17
9
(c)
19
9
(d)
19
7
4. Simplify
1
1
22
22
nn
nn
?
?
?
?
=
(a) 2
n+2
(b) 2
n
(c) 2
(d)
1
2
5. If. 2
a
= 3
b
= 12
c
then
11
+ =
ab
(a)
1
c
© The Institute of Chartered Accountants of India
2
(b)
11
-
ca
(c) -
1
c
(d) 0
6. The value of log 64512 is
(a) 9
(b) 9/2
(c) 9/4
(d) 3/2
7. The value of of (log b a log c b log a c)
3
=
(a) 1
(b) 3
(c) (log b C)
3
(d) (log c b)
3
8. If a and ß be the roots of the equation 2x
2
-4x-3=0 the value of a
2
+ß
2
is
(a) 5
(b) 7
(c) 3
(d) -4
9. If one root of the equation x
2
+ 7x+ p = 0 be reciprocal of the other then the value of p is________.
(a) 1
(b) -1
(c) 7
(d) -7
10. Let A =
23
45
??
??
??
; B=
15
67
??
??
??
then the value 3A-B
(a)
4 14
9 11
?? ??
??
??
(b)
4 14
9 11
? ??
??
??
??
(c)
4 14
9 11
? ??
??
??
(d)
54
68
??
??
??
© The Institute of Chartered Accountants of India
3
11.
a b a b
b a b a
? ? ? ? ?
?
? ? ? ?
?
? ? ? ?
(a)
22
22
0
0
ab
ab
?? ?
??
?
??
(b)
22
22
0
0
ab
ab
?? ??
??
?
??
(c)
22
22
0
0
ab
ab
?? ?
??
?
??
(d)
22
22
0
0
ab
ab
?? ?
??
?
??
12. Mr. A plans to invest up to Rs. 30,000 in two stocks X and Y. Stock X(x) is priced at Rs.175 and Stock
Y(y) at Rs.95 per share. This can be shown by
(a) 175x+95y < 30,000
(b) 175x+95y > 30,000
(c) 175x+95y = 30,000
(d) None of these
13. A sum of money doubles itself at compounded interest in 10 years in how many years will it becomes
eight times?
(a) 20
(b) 30
(c) 40
(d) 35
14. A machine costs Rs .1,00, 000. The depreciation rate is 10% per annum. The scrap value of the machine
at the end of 5 years is
(a) Rs.49490
(b) Rs. 59049
(c) Rs.61029
(d) Rs.51049
15. Rs. 10,000 is invested at annual rate of interest of 10% p.a. The amount after two years at annual
compounding is
(a) Rs. 21100
(b) Rs. 12100
(c) Rs. 12110
(d) None of these
16. The annual birth rate and death rate per 1000 are 39.4 and 19.4 respectively. The number of years in
which population will be doubled assuming that there is no immigration or emigration is approximately
(a) 40 years
© The Institute of Chartered Accountants of India
4
(b) 30 years
(c) 36 years
(d) 25 years
17. If the effective rate of interest is 12% per annum and the interest is compounded quarterly, the nominal
rate of interest per annum
(a) 11.78 %
(b) 11.21 %
(c) 11.89%
(d) 11.49 %
18. A machine can be purchased for Rs. 50, 000. Machine will be contributing Rs. 12, 000 per year for the
next five years. Assuming borrowing cost is 10% per annum. Determine whether machine should be
purchased or not
(a) Should be purchased
(b) Should not be purchased
(c) Can’t say about purchase
(d) none of the above
19. X bought a TV costing 25,000 making down payment of Rs. 5000 and agreeing to make equal annual
payment for four years. How much would be each payment if the interest on unpaid amount be 14%
compounded annually? [P(4, 0.14) = 2.91371]
(a) Rs.6864.10
(b) Rs.6850.63
(c) Rs.6859
(d) Rs.6871
20. The future value of annuity on Rs. 5000 a year for 7 years at 14% per annum compound interest is given
(1.14)
7
= 2.5023
(a) Rs.5300
(b) Rs.53653.57
(c) Rs.5480
(d) Rs.5465.23
21. Rs.5000 paid for ten years to off a loan. What is the loan amount if interest rate be 14% per annum
compounded annually? (Given P (10, 0.14) = 5.21611
(a) Rs.26080.55
(b) Rs.26580.55
(c) Rs.26280.55
(d) Rs.27080.55
22. Suppope your friend decided gift to you Rs. 10000 every year starting from today for the next five years.
Your deposit this amount in a bank as and when you receive and get 10% per annum interest
compounded annually. What is the present value of this annuity?
(a) Rs.42698.70
(b) Rs.43698.70
© The Institute of Chartered Accountants of India
Page 5
1
Test Series: April, 2019
Mock Test Paper -2
Foundation Course
Paper 3: Business Mathematics, Logical Reasoning and Statistics
Time: 120 Minutes Maximum Marks: 100
Part A : Business Mathematics and Logical Reasoning
1. If x:y:z = 2: 3:5 if x+ y+ z = 60 ,then the value of z
(a) 30
(b) 15
(c) 9
(d) 12
2. The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8:
9. What is the number added to each of the ratio?
(a) 6
(b) 15
(c) 17
(d) 23
3. If
2 3 2
42
a b c
= = then
3 4 5
a b c
a b c
??
??
is
(a)
11
19
(b)
17
9
(c)
19
9
(d)
19
7
4. Simplify
1
1
22
22
nn
nn
?
?
?
?
=
(a) 2
n+2
(b) 2
n
(c) 2
(d)
1
2
5. If. 2
a
= 3
b
= 12
c
then
11
+ =
ab
(a)
1
c
© The Institute of Chartered Accountants of India
2
(b)
11
-
ca
(c) -
1
c
(d) 0
6. The value of log 64512 is
(a) 9
(b) 9/2
(c) 9/4
(d) 3/2
7. The value of of (log b a log c b log a c)
3
=
(a) 1
(b) 3
(c) (log b C)
3
(d) (log c b)
3
8. If a and ß be the roots of the equation 2x
2
-4x-3=0 the value of a
2
+ß
2
is
(a) 5
(b) 7
(c) 3
(d) -4
9. If one root of the equation x
2
+ 7x+ p = 0 be reciprocal of the other then the value of p is________.
(a) 1
(b) -1
(c) 7
(d) -7
10. Let A =
23
45
??
??
??
; B=
15
67
??
??
??
then the value 3A-B
(a)
4 14
9 11
?? ??
??
??
(b)
4 14
9 11
? ??
??
??
??
(c)
4 14
9 11
? ??
??
??
(d)
54
68
??
??
??
© The Institute of Chartered Accountants of India
3
11.
a b a b
b a b a
? ? ? ? ?
?
? ? ? ?
?
? ? ? ?
(a)
22
22
0
0
ab
ab
?? ?
??
?
??
(b)
22
22
0
0
ab
ab
?? ??
??
?
??
(c)
22
22
0
0
ab
ab
?? ?
??
?
??
(d)
22
22
0
0
ab
ab
?? ?
??
?
??
12. Mr. A plans to invest up to Rs. 30,000 in two stocks X and Y. Stock X(x) is priced at Rs.175 and Stock
Y(y) at Rs.95 per share. This can be shown by
(a) 175x+95y < 30,000
(b) 175x+95y > 30,000
(c) 175x+95y = 30,000
(d) None of these
13. A sum of money doubles itself at compounded interest in 10 years in how many years will it becomes
eight times?
(a) 20
(b) 30
(c) 40
(d) 35
14. A machine costs Rs .1,00, 000. The depreciation rate is 10% per annum. The scrap value of the machine
at the end of 5 years is
(a) Rs.49490
(b) Rs. 59049
(c) Rs.61029
(d) Rs.51049
15. Rs. 10,000 is invested at annual rate of interest of 10% p.a. The amount after two years at annual
compounding is
(a) Rs. 21100
(b) Rs. 12100
(c) Rs. 12110
(d) None of these
16. The annual birth rate and death rate per 1000 are 39.4 and 19.4 respectively. The number of years in
which population will be doubled assuming that there is no immigration or emigration is approximately
(a) 40 years
© The Institute of Chartered Accountants of India
4
(b) 30 years
(c) 36 years
(d) 25 years
17. If the effective rate of interest is 12% per annum and the interest is compounded quarterly, the nominal
rate of interest per annum
(a) 11.78 %
(b) 11.21 %
(c) 11.89%
(d) 11.49 %
18. A machine can be purchased for Rs. 50, 000. Machine will be contributing Rs. 12, 000 per year for the
next five years. Assuming borrowing cost is 10% per annum. Determine whether machine should be
purchased or not
(a) Should be purchased
(b) Should not be purchased
(c) Can’t say about purchase
(d) none of the above
19. X bought a TV costing 25,000 making down payment of Rs. 5000 and agreeing to make equal annual
payment for four years. How much would be each payment if the interest on unpaid amount be 14%
compounded annually? [P(4, 0.14) = 2.91371]
(a) Rs.6864.10
(b) Rs.6850.63
(c) Rs.6859
(d) Rs.6871
20. The future value of annuity on Rs. 5000 a year for 7 years at 14% per annum compound interest is given
(1.14)
7
= 2.5023
(a) Rs.5300
(b) Rs.53653.57
(c) Rs.5480
(d) Rs.5465.23
21. Rs.5000 paid for ten years to off a loan. What is the loan amount if interest rate be 14% per annum
compounded annually? (Given P (10, 0.14) = 5.21611
(a) Rs.26080.55
(b) Rs.26580.55
(c) Rs.26280.55
(d) Rs.27080.55
22. Suppope your friend decided gift to you Rs. 10000 every year starting from today for the next five years.
Your deposit this amount in a bank as and when you receive and get 10% per annum interest
compounded annually. What is the present value of this annuity?
(a) Rs.42698.70
(b) Rs.43698.70
© The Institute of Chartered Accountants of India
5
(c) Rs.45698.70
(d) Rs.41698.70
23. Rs.1000 is invested at the end of each month in an account paying interest 6% per year compounded
monthly. What is the future value of annuity after 10
th
payment? (Given that (1.005)
10
= 1.0511)
(a) Rs.10220
(b) Rs.1022
(c) Rs.20000
(d) Rs.1020
24. The difference between CI and SI on a certain money invested for three years at 6% per annum is
Rs. 110.16. The sum is
(a) Rs. 3000
(b) Rs.3700
(c) Rs.12000
(d) Rs.10000
25. Simple interest on Rs.3500 for 3 years at 12% per annum is
(a) Rs.1200
(b) Rs.1260
(c) Rs.2260
(d) Rs. 2000
26. A function f(x) is an even function, if
(a) –f(x) = f(x))
(b) f(–x) = f(x)
(c) f(–x) = –f(x)
(d) None of these
27. If A = {1, 2, 3, 4} and B = {5, 6, 7,6}, then cardinal number of the set A×B is _____
(a) 7
(b) 1
(c) 16
(d) None of these
28. Find the f o g for the functions f (x) =x
3
, g (x) = x+ 1
(a) x
2
(x+1)
(b) x
2
(c) x+1
(d) (x+1)
3
29. if
42
nP = 12nP then n=
(a) 2
(b) 3
(c) 4
© The Institute of Chartered Accountants of India
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FAQs on Sample Paper Series- II - Business Laws for CA Foundation
| 1. What is the CA Foundation exam? |  |
Ans. The CA Foundation exam is an entry-level examination conducted by the Institute of Chartered Accountants of India (ICAI). It is the first level of the Chartered Accountancy course and can be attempted by students who have completed their 10+2 education.
| 2. How can I apply for the CA Foundation exam? | |
Ans. To apply for the CA Foundation exam, you need to visit the official website of ICAI and register as a student. After registration, you will receive a registration number which you can use to fill out the exam application form online during the specified dates. The application fee can be paid online or through a demand draft.
| 3. What are the subjects included in the CA Foundation exam? | |
Ans. The CA Foundation exam consists of four subjects: Fundamentals of Accounting, Principles and Practice of Accounting, Business Mathematics and Logical Reasoning, and Business Economics and Business and Commercial Knowledge.
| 4. How many attempts do I have to clear the CA Foundation exam? | |
Ans. You are allowed a maximum of six attempts to clear the CA Foundation exam. However, if you are unable to clear the exam within six attempts, you can re-register and start the process again.
| 5. What are the passing criteria for the CA Foundation exam? | |
Ans. To pass the CA Foundation exam, you need to score a minimum of 40% marks in each subject and an aggregate of 50% marks in all subjects combined. Additionally, you must also meet the criteria for exemption in each subject, which requires scoring a minimum of 60% marks.
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Sample Paper Series- II Free PDF Download
The Sample Paper Series- II is an invaluable resource that delves deep into the core of the CA Foundation exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Sample Paper Series- II now and kickstart your journey towards success in the CA Foundation exam.
Importance of Sample Paper Series- II
The importance of Sample Paper Series- II cannot be overstated, especially for CA Foundation aspirants.
This document holds the key to success in the CA Foundation exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Sample Paper Series- II Notes
Sample Paper Series- II Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Sample Paper Series- II.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Sample Paper Series- II Notes on EduRev are your ultimate resource for success.
Sample Paper Series- II CA Foundation Questions
The "Sample Paper Series- II CA Foundation Questions" guide is a valuable resource for all aspiring students preparing for the
CA Foundation exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Sample Paper Series- II on the App
Students of CA Foundation can study Sample Paper Series- II alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Sample Paper Series- II,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Sample Paper Series- II is prepared as per the latest CA Foundation syllabus.
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