Mock Test: Business Mathematics, Logical Reasoning and Statistics(Paper-3) - Series-II(Dec. 2022) | Mock Tests & Past Year Papers for CA Foundation PDF Download

 Page 1


1 
Test Series: November 2022 
MOCK TEST PAPER 2 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The ratio of two numbers are 3 : 4. The difference of their squares is 28 .Greater number is: 
(a)  8 
(b)  12 
(c)  24 
(d)  64 
2.  The price of scooter and moped are in the ratio 7 : 9. The price of moped is ` 1600 more than that of 
scooter. Then the price of moped is: 
(a)  ` 7200 
(b)  ` 5600 
(c)  ` 800 
(d)  ` 700 
3. log
0.01
10,000 = ? 
(a)  2 
(b)  – 2 
(c)  4 
(d)  – 4 
4. Value of [9
n+
1
4
.
v
3.3
n
3.
v
3
-n
]
1
n
 
(a)  9 
(b)  27 
(c)  81 
(d)  3 
5.  Roots of the equation x
3
+9x
2
 – x – 9 = 0. 
(a)  1, 2, 3 
(b)  1, - 1, - 9 
(c)  2, 3, - 9 
(d)  1, 3, 9 
6.  
2 5 3 10
5
10 15
xx ++
+= , then value of x  
(a)  10.58 
(b)  9.58 
© The Institute of Chartered Accountants of India
Page 2


1 
Test Series: November 2022 
MOCK TEST PAPER 2 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The ratio of two numbers are 3 : 4. The difference of their squares is 28 .Greater number is: 
(a)  8 
(b)  12 
(c)  24 
(d)  64 
2.  The price of scooter and moped are in the ratio 7 : 9. The price of moped is ` 1600 more than that of 
scooter. Then the price of moped is: 
(a)  ` 7200 
(b)  ` 5600 
(c)  ` 800 
(d)  ` 700 
3. log
0.01
10,000 = ? 
(a)  2 
(b)  – 2 
(c)  4 
(d)  – 4 
4. Value of [9
n+
1
4
.
v
3.3
n
3.
v
3
-n
]
1
n
 
(a)  9 
(b)  27 
(c)  81 
(d)  3 
5.  Roots of the equation x
3
+9x
2
 – x – 9 = 0. 
(a)  1, 2, 3 
(b)  1, - 1, - 9 
(c)  2, 3, - 9 
(d)  1, 3, 9 
6.  
2 5 3 10
5
10 15
xx ++
+= , then value of x  
(a)  10.58 
(b)  9.58 
© The Institute of Chartered Accountants of India
2 
(c)  9.5 
(d)  None of these  
7.  Find value of x
2
 – 10x + 1, if x = 
1
5-2v 6
 
(a)  25 
(b)  1 
(c)  0 
(d)  49 
8.  Find the value of k in 3x
2
 – 2kx + 5 = 0, if x = 2. 
(a)  17/4 
(b)  -7/14 
(c)  4/17 
(d)  -4/17 
9.  6x + y = 18, x + 4y = 12, 2x + y = 10 , On solving the inequalities; we get: 
(a) (0, 18), (12, 0), (4, 2) & (7, 6) 
(b)  (3, 0), (0, 3), (4, 2) & (7, 6) 
(c)  (5, 0), (0, 10), (4, 2) & (7, 6) 
(d)  (0, 18), (12, 0), (4, 2), (0, 0) & (7, 6) 
10.  A man invests ` 12,000 at 10% p.a. and another sum of money at 20% p.a for one year. The total 
investment earns at 14% p.a. simple interest the total investment is: 
(a)  ` 8,000 
(b)  ` 20,000 
(c)  ` 14,000 
(d)  ` 16,000 
11.  The difference in simple interest of a sum invested of ` 1,500 for 3 years is ` 18. The difference in their 
rates is: 
(a)  0.4 
(b)  0.6 
(c)  0.8 
(d)  0.10 
12.  Find the effective rate of interest on ` 10,000 on which interest is payable half yearly at 5% p.a. 
(a)  5.06% 
(b)  4% 
(c)  0.4% 
(d)  3% 
13.  Find the effective rate of interest at 10% p.a. when interest is payable quarterly. 
(a)  10.38% 
(b)  5% 
(c)  5.04% 
© The Institute of Chartered Accountants of India
Page 3


1 
Test Series: November 2022 
MOCK TEST PAPER 2 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The ratio of two numbers are 3 : 4. The difference of their squares is 28 .Greater number is: 
(a)  8 
(b)  12 
(c)  24 
(d)  64 
2.  The price of scooter and moped are in the ratio 7 : 9. The price of moped is ` 1600 more than that of 
scooter. Then the price of moped is: 
(a)  ` 7200 
(b)  ` 5600 
(c)  ` 800 
(d)  ` 700 
3. log
0.01
10,000 = ? 
(a)  2 
(b)  – 2 
(c)  4 
(d)  – 4 
4. Value of [9
n+
1
4
.
v
3.3
n
3.
v
3
-n
]
1
n
 
(a)  9 
(b)  27 
(c)  81 
(d)  3 
5.  Roots of the equation x
3
+9x
2
 – x – 9 = 0. 
(a)  1, 2, 3 
(b)  1, - 1, - 9 
(c)  2, 3, - 9 
(d)  1, 3, 9 
6.  
2 5 3 10
5
10 15
xx ++
+= , then value of x  
(a)  10.58 
(b)  9.58 
© The Institute of Chartered Accountants of India
2 
(c)  9.5 
(d)  None of these  
7.  Find value of x
2
 – 10x + 1, if x = 
1
5-2v 6
 
(a)  25 
(b)  1 
(c)  0 
(d)  49 
8.  Find the value of k in 3x
2
 – 2kx + 5 = 0, if x = 2. 
(a)  17/4 
(b)  -7/14 
(c)  4/17 
(d)  -4/17 
9.  6x + y = 18, x + 4y = 12, 2x + y = 10 , On solving the inequalities; we get: 
(a) (0, 18), (12, 0), (4, 2) & (7, 6) 
(b)  (3, 0), (0, 3), (4, 2) & (7, 6) 
(c)  (5, 0), (0, 10), (4, 2) & (7, 6) 
(d)  (0, 18), (12, 0), (4, 2), (0, 0) & (7, 6) 
10.  A man invests ` 12,000 at 10% p.a. and another sum of money at 20% p.a for one year. The total 
investment earns at 14% p.a. simple interest the total investment is: 
(a)  ` 8,000 
(b)  ` 20,000 
(c)  ` 14,000 
(d)  ` 16,000 
11.  The difference in simple interest of a sum invested of ` 1,500 for 3 years is ` 18. The difference in their 
rates is: 
(a)  0.4 
(b)  0.6 
(c)  0.8 
(d)  0.10 
12.  Find the effective rate of interest on ` 10,000 on which interest is payable half yearly at 5% p.a. 
(a)  5.06% 
(b)  4% 
(c)  0.4% 
(d)  3% 
13.  Find the effective rate of interest at 10% p.a. when interest is payable quarterly. 
(a)  10.38% 
(b)  5% 
(c)  5.04% 
© The Institute of Chartered Accountants of India
3 
(d)  4% 
14.  What will be the population after 3 years when present population is 25,000 and population increases 
at the rate of 3% in 1st  year, at 4% in 2nd year and at 5% in 3rd year? 
(a)  28,119 
(b)  29,118 
(c)  27,000 
(d)  30,000 
15.  The value of scooter is ` 10,000. Find its value after 7 years if rate of depreciation is 10% p.a. 
(a)  ` 4,782.96 
(b)  ` 4,278.69 
(c)  ` 42,079 
(d)  ` 42,000 
16. SI = 0.125 P at 10% p.a. Find Time. 
(a)  1.25 years 
(b)  25 years 
(c)  0.25 years 
(d)  None of these  
17.  How much amount is required to be invested every year as to accumulate ` 6,00,000 at the end of 10 
years, if interest is compounded annually at 10% rate of interest [Given : (1:1)
10
 = 2.59374].  
(a)  ` 37,467  
(b)  ` 37,476   
(c)  ` 37,647   
(d)  ` 37,674  
18.  The difference between the CI and SI for 2 year is 21. If the rate of interest is 5%, the final principal is: 
(a)  ` 8,200 
(b)  ` 4,800 
(c)  ` 8,000 
(d) ` 8,400 
19.  Present value of a scooter is ` 7,290. If its value decreases every year by 10%, then its value before 3 
years is equal to: 
(a)  10,000 
(b)  10,500 
(c)  20,000 
(d)  20,500 
20. Mr. X lent some amount of money at 4% S.I. and he obtained ` 520 less than he lent in 5 years. The 
sum lent is 
(a)  ` 620 
(b)  ` 650 
(c)  ` 750 
© The Institute of Chartered Accountants of India
Page 4


1 
Test Series: November 2022 
MOCK TEST PAPER 2 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The ratio of two numbers are 3 : 4. The difference of their squares is 28 .Greater number is: 
(a)  8 
(b)  12 
(c)  24 
(d)  64 
2.  The price of scooter and moped are in the ratio 7 : 9. The price of moped is ` 1600 more than that of 
scooter. Then the price of moped is: 
(a)  ` 7200 
(b)  ` 5600 
(c)  ` 800 
(d)  ` 700 
3. log
0.01
10,000 = ? 
(a)  2 
(b)  – 2 
(c)  4 
(d)  – 4 
4. Value of [9
n+
1
4
.
v
3.3
n
3.
v
3
-n
]
1
n
 
(a)  9 
(b)  27 
(c)  81 
(d)  3 
5.  Roots of the equation x
3
+9x
2
 – x – 9 = 0. 
(a)  1, 2, 3 
(b)  1, - 1, - 9 
(c)  2, 3, - 9 
(d)  1, 3, 9 
6.  
2 5 3 10
5
10 15
xx ++
+= , then value of x  
(a)  10.58 
(b)  9.58 
© The Institute of Chartered Accountants of India
2 
(c)  9.5 
(d)  None of these  
7.  Find value of x
2
 – 10x + 1, if x = 
1
5-2v 6
 
(a)  25 
(b)  1 
(c)  0 
(d)  49 
8.  Find the value of k in 3x
2
 – 2kx + 5 = 0, if x = 2. 
(a)  17/4 
(b)  -7/14 
(c)  4/17 
(d)  -4/17 
9.  6x + y = 18, x + 4y = 12, 2x + y = 10 , On solving the inequalities; we get: 
(a) (0, 18), (12, 0), (4, 2) & (7, 6) 
(b)  (3, 0), (0, 3), (4, 2) & (7, 6) 
(c)  (5, 0), (0, 10), (4, 2) & (7, 6) 
(d)  (0, 18), (12, 0), (4, 2), (0, 0) & (7, 6) 
10.  A man invests ` 12,000 at 10% p.a. and another sum of money at 20% p.a for one year. The total 
investment earns at 14% p.a. simple interest the total investment is: 
(a)  ` 8,000 
(b)  ` 20,000 
(c)  ` 14,000 
(d)  ` 16,000 
11.  The difference in simple interest of a sum invested of ` 1,500 for 3 years is ` 18. The difference in their 
rates is: 
(a)  0.4 
(b)  0.6 
(c)  0.8 
(d)  0.10 
12.  Find the effective rate of interest on ` 10,000 on which interest is payable half yearly at 5% p.a. 
(a)  5.06% 
(b)  4% 
(c)  0.4% 
(d)  3% 
13.  Find the effective rate of interest at 10% p.a. when interest is payable quarterly. 
(a)  10.38% 
(b)  5% 
(c)  5.04% 
© The Institute of Chartered Accountants of India
3 
(d)  4% 
14.  What will be the population after 3 years when present population is 25,000 and population increases 
at the rate of 3% in 1st  year, at 4% in 2nd year and at 5% in 3rd year? 
(a)  28,119 
(b)  29,118 
(c)  27,000 
(d)  30,000 
15.  The value of scooter is ` 10,000. Find its value after 7 years if rate of depreciation is 10% p.a. 
(a)  ` 4,782.96 
(b)  ` 4,278.69 
(c)  ` 42,079 
(d)  ` 42,000 
16. SI = 0.125 P at 10% p.a. Find Time. 
(a)  1.25 years 
(b)  25 years 
(c)  0.25 years 
(d)  None of these  
17.  How much amount is required to be invested every year as to accumulate ` 6,00,000 at the end of 10 
years, if interest is compounded annually at 10% rate of interest [Given : (1:1)
10
 = 2.59374].  
(a)  ` 37,467  
(b)  ` 37,476   
(c)  ` 37,647   
(d)  ` 37,674  
18.  The difference between the CI and SI for 2 year is 21. If the rate of interest is 5%, the final principal is: 
(a)  ` 8,200 
(b)  ` 4,800 
(c)  ` 8,000 
(d) ` 8,400 
19.  Present value of a scooter is ` 7,290. If its value decreases every year by 10%, then its value before 3 
years is equal to: 
(a)  10,000 
(b)  10,500 
(c)  20,000 
(d)  20,500 
20. Mr. X lent some amount of money at 4% S.I. and he obtained ` 520 less than he lent in 5 years. The 
sum lent is 
(a)  ` 620 
(b)  ` 650 
(c)  ` 750 
© The Institute of Chartered Accountants of India
4 
(d)  None of these  
21.  ` 8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 
years; 6 and 8 years are equal. Find each part of the sum. 
(a) ` 3,069, ` 2,970; ` 2,790 
(b) ` 3,089, ` 2,970; ` 2,790 
(c) ` 3,609, ` 2,970; ` 2,790 
(d) ` 3,069, ` 2,960; ` 2,760 
22. A `1000 bond paying annual dividends at 8.5% will be redeemed at par at the end of 10 years. Find the 
purchase price of this bond if the investor wishes a yield rate of 8% 
(a)  ` 907.135 
(b)  ` 1033.54  
(c)  ` 945.67 
(d)  None of these 
23.  Mr. X invest ` 10,000 every year starting from today for next: 10 years suppose interest rate is 8% per 
annual compounded annually. Calculate future value of the annuity.  
(a)  ` 1,56,454.88 
(b)  ` 1,56,554.88 
(c)  ` 1,44,865.625 
(d)  None of these  
24.  Three girls and five boys are to be seated in a row so that no two girls sit together. Total No. of 
arrangements are: 
(a) 14,400 
(b) 120 
(c) 5P3 
(d) 3! × 5! 
25. How many numbers can be formed with the help of 2, 3, 4, 5, 6, 1 which is not divisible by 5, given that 
it is a five digit number and digits are not repeating? 
(a)  1200 
(b)  400 
(c)  600 
(d)  1400 
26. How many different groups of 3 people can be formed from a group of 5 people? 
(a)  5 
(b)  6 
(c)  10 
(d)  9 
27.  In how many ways can 4 people be selected at random from 6 boys and 4 girls if there are exactly two 
girls? 
(a) 90 
© The Institute of Chartered Accountants of India
Page 5


1 
Test Series: November 2022 
MOCK TEST PAPER 2 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The ratio of two numbers are 3 : 4. The difference of their squares is 28 .Greater number is: 
(a)  8 
(b)  12 
(c)  24 
(d)  64 
2.  The price of scooter and moped are in the ratio 7 : 9. The price of moped is ` 1600 more than that of 
scooter. Then the price of moped is: 
(a)  ` 7200 
(b)  ` 5600 
(c)  ` 800 
(d)  ` 700 
3. log
0.01
10,000 = ? 
(a)  2 
(b)  – 2 
(c)  4 
(d)  – 4 
4. Value of [9
n+
1
4
.
v
3.3
n
3.
v
3
-n
]
1
n
 
(a)  9 
(b)  27 
(c)  81 
(d)  3 
5.  Roots of the equation x
3
+9x
2
 – x – 9 = 0. 
(a)  1, 2, 3 
(b)  1, - 1, - 9 
(c)  2, 3, - 9 
(d)  1, 3, 9 
6.  
2 5 3 10
5
10 15
xx ++
+= , then value of x  
(a)  10.58 
(b)  9.58 
© The Institute of Chartered Accountants of India
2 
(c)  9.5 
(d)  None of these  
7.  Find value of x
2
 – 10x + 1, if x = 
1
5-2v 6
 
(a)  25 
(b)  1 
(c)  0 
(d)  49 
8.  Find the value of k in 3x
2
 – 2kx + 5 = 0, if x = 2. 
(a)  17/4 
(b)  -7/14 
(c)  4/17 
(d)  -4/17 
9.  6x + y = 18, x + 4y = 12, 2x + y = 10 , On solving the inequalities; we get: 
(a) (0, 18), (12, 0), (4, 2) & (7, 6) 
(b)  (3, 0), (0, 3), (4, 2) & (7, 6) 
(c)  (5, 0), (0, 10), (4, 2) & (7, 6) 
(d)  (0, 18), (12, 0), (4, 2), (0, 0) & (7, 6) 
10.  A man invests ` 12,000 at 10% p.a. and another sum of money at 20% p.a for one year. The total 
investment earns at 14% p.a. simple interest the total investment is: 
(a)  ` 8,000 
(b)  ` 20,000 
(c)  ` 14,000 
(d)  ` 16,000 
11.  The difference in simple interest of a sum invested of ` 1,500 for 3 years is ` 18. The difference in their 
rates is: 
(a)  0.4 
(b)  0.6 
(c)  0.8 
(d)  0.10 
12.  Find the effective rate of interest on ` 10,000 on which interest is payable half yearly at 5% p.a. 
(a)  5.06% 
(b)  4% 
(c)  0.4% 
(d)  3% 
13.  Find the effective rate of interest at 10% p.a. when interest is payable quarterly. 
(a)  10.38% 
(b)  5% 
(c)  5.04% 
© The Institute of Chartered Accountants of India
3 
(d)  4% 
14.  What will be the population after 3 years when present population is 25,000 and population increases 
at the rate of 3% in 1st  year, at 4% in 2nd year and at 5% in 3rd year? 
(a)  28,119 
(b)  29,118 
(c)  27,000 
(d)  30,000 
15.  The value of scooter is ` 10,000. Find its value after 7 years if rate of depreciation is 10% p.a. 
(a)  ` 4,782.96 
(b)  ` 4,278.69 
(c)  ` 42,079 
(d)  ` 42,000 
16. SI = 0.125 P at 10% p.a. Find Time. 
(a)  1.25 years 
(b)  25 years 
(c)  0.25 years 
(d)  None of these  
17.  How much amount is required to be invested every year as to accumulate ` 6,00,000 at the end of 10 
years, if interest is compounded annually at 10% rate of interest [Given : (1:1)
10
 = 2.59374].  
(a)  ` 37,467  
(b)  ` 37,476   
(c)  ` 37,647   
(d)  ` 37,674  
18.  The difference between the CI and SI for 2 year is 21. If the rate of interest is 5%, the final principal is: 
(a)  ` 8,200 
(b)  ` 4,800 
(c)  ` 8,000 
(d) ` 8,400 
19.  Present value of a scooter is ` 7,290. If its value decreases every year by 10%, then its value before 3 
years is equal to: 
(a)  10,000 
(b)  10,500 
(c)  20,000 
(d)  20,500 
20. Mr. X lent some amount of money at 4% S.I. and he obtained ` 520 less than he lent in 5 years. The 
sum lent is 
(a)  ` 620 
(b)  ` 650 
(c)  ` 750 
© The Institute of Chartered Accountants of India
4 
(d)  None of these  
21.  ` 8,829 is invested into three different sectors in such a way that their amounts at 4% p.a. S.I. after 5 
years; 6 and 8 years are equal. Find each part of the sum. 
(a) ` 3,069, ` 2,970; ` 2,790 
(b) ` 3,089, ` 2,970; ` 2,790 
(c) ` 3,609, ` 2,970; ` 2,790 
(d) ` 3,069, ` 2,960; ` 2,760 
22. A `1000 bond paying annual dividends at 8.5% will be redeemed at par at the end of 10 years. Find the 
purchase price of this bond if the investor wishes a yield rate of 8% 
(a)  ` 907.135 
(b)  ` 1033.54  
(c)  ` 945.67 
(d)  None of these 
23.  Mr. X invest ` 10,000 every year starting from today for next: 10 years suppose interest rate is 8% per 
annual compounded annually. Calculate future value of the annuity.  
(a)  ` 1,56,454.88 
(b)  ` 1,56,554.88 
(c)  ` 1,44,865.625 
(d)  None of these  
24.  Three girls and five boys are to be seated in a row so that no two girls sit together. Total No. of 
arrangements are: 
(a) 14,400 
(b) 120 
(c) 5P3 
(d) 3! × 5! 
25. How many numbers can be formed with the help of 2, 3, 4, 5, 6, 1 which is not divisible by 5, given that 
it is a five digit number and digits are not repeating? 
(a)  1200 
(b)  400 
(c)  600 
(d)  1400 
26. How many different groups of 3 people can be formed from a group of 5 people? 
(a)  5 
(b)  6 
(c)  10 
(d)  9 
27.  In how many ways can 4 people be selected at random from 6 boys and 4 girls if there are exactly two 
girls? 
(a) 90 
© The Institute of Chartered Accountants of India
5 
(b) 360 
(c) 92 
(d) 480 
28. 
n
P 3 : 
n
P 2 = 2 : 1  
(a) 4 
(b) 7/2 
(c) 5 
(d) 2/7 
29.  Sum lying from 100 to 300 which is divisible by 4 and 5 is  
(a)  2000 
(b)  2100 
(c)  2200 
(d)  2300 
30.  Sum of x terms of two AP's are in the ratio (3?? + 5) : (5?? + 3) then ratio of their 10
th
 term is  
(a)  31 : 49 
(b)  30 : 49 
(c)  28 : 49 
(d)  None of these  
31.  Out of total 150 students, 45 passed in Accounts, 30 in Economics and 50 in Maths, 30 in both Accounts 
and Maths, 32 in both Maths and Economics, 35 in both Accounts and Economics, 25 students passed 
in all the three subjects. Find the numbers who passed at least in any one of the subjects : 
(a)  63  
(b)  53 
(c)  73  
(d)  None of these  
32.  Let A = {1,2, 3}, then the relation R = {(1,1), (2, 3), (2, 2), (3, 3), (1,2)} is: 
(a)  Symmetric  
(b)  Transitive 
(c)  Reflexive  
(d)  Equivalence 
33.  Let A be the set of squares of natural numbers and let x?A, y?A then 
(a)  X + Y?A  
(b)  X-Y?A 
(c) 
X
Y
?A 
(d) xy?A 
34. If 5
th
 term of G.P. is 32 and 3
rd
  term of G.P. is 8 then 6
th
  term of G.P. is  
(a)  4  
(b)  16  
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