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Page 1
1
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
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
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
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
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 Quantitative Aptitude Sample Paper Series - II - Business Laws for CA Foundation
| 1. What topics are covered in the Quantitative Aptitude section of the CA Foundation exam? |  |
Ans. The Quantitative Aptitude section of the CA Foundation exam typically covers a variety of topics including Number Systems, Ratio and Proportion, Percentages, Profit and Loss, Simple and Compound Interest, Time and Work, Time and Distance, and Basic Statistics.
| 2. How can I effectively prepare for the Quantitative Aptitude section in the CA Foundation exam? | |
Ans. To effectively prepare for the Quantitative Aptitude section, students should practice regularly using sample papers and previous years' question papers. It is also beneficial to focus on understanding the concepts thoroughly, solving problems daily, and using study materials that are specifically designed for the CA Foundation syllabus.
| 3. Are there any recommended books for studying Quantitative Aptitude for the CA Foundation? | |
Ans. Yes, some recommended books for studying Quantitative Aptitude for the CA Foundation include "Quantitative Aptitude for Competitive Examinations" by R.S. Aggarwal and "Objective Mathematics" by R.D. Sharma. These books cover a wide range of topics and provide ample practice questions.
| 4. How much weightage does the Quantitative Aptitude section carry in the CA Foundation exam? | |
Ans. The Quantitative Aptitude section carries a significant weightage in the CA Foundation exam, typically comprising 20% to 30% of the total marks. It is crucial for students to score well in this section as it contributes to their overall performance in the exam.
| 5. What is the best strategy for solving Quantitative Aptitude questions in the CA Foundation exam? | |
Ans. The best strategy for solving Quantitative Aptitude questions in the CA Foundation exam includes reading the questions carefully, identifying the formulas required, managing time efficiently, and practicing mental math to enhance speed. Additionally, students should prioritize solving easier questions first to secure marks before tackling the more difficult ones.
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Additional Information about Quantitative Aptitude Sample Paper Series - II for CA Foundation Preparation
Quantitative Aptitude Sample Paper Series - II Free PDF Download
The Quantitative Aptitude Sample Paper Series - II is an invaluable resource that delves deep into the core of the CA Foundation exam.
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Importance of Quantitative Aptitude Sample Paper Series - II
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Quantitative Aptitude Sample Paper Series - II Notes
Quantitative Aptitude 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 Quantitative Aptitude Sample Paper Series - II.
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Quantitative Aptitude Sample Paper Series - II CA Foundation Questions
The "Quantitative Aptitude 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.
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Study Quantitative Aptitude Sample Paper Series - II on the App
Students of CA Foundation can study Quantitative Aptitude Sample Paper Series - II alongwith tests & analysis from the EduRev app,
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The content of Quantitative Aptitude Sample Paper Series - II is prepared as per the latest CA Foundation syllabus.
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