Sample Paper Series- I CA CPT Notes | EduRev

 Page 1


1 
Test Series: March, 2019 
FOUNDATION COURSE 
MOCK TEST PAPER 
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time Allowed 2 Hours        Maximum Marks: 100 
QUESTIONS 
PART A: BUSINESS MATHEMATICS AND LOGICAL REASONING 
 
1.  The ratio compounded of 2:3, 9:4, 5:6 and 8: 10 is 
(a)  1: 1            
(b)  1:5                 
(c)  3: 8                   
(d)  none of these   
2.  The sub-triplicate ratio of 8: 27 
(a)  27: 8   
(b)  24: 81    
(c)  2: 3          
(d)  none of these  
3. If 
p r p r
q s q s
?
??
?
, the process is called  
(a)  Subtrahendo      
(b) Componendo  
(c)  Alternendo  
(d)  none of these  
4.  The value of 
? ? ? ? ? ?
2 2 2 2 2 2
a ab b b bc c c ca a
a b c
b c a
x x x
x x x
? ? ? ? ? ?
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
 
(a)  1           
(b) 0     
(c)  -1    
(d)   none of these  
5.   If a = 
12
log 24  , b = 
36
log 24  , b = 
48
log 36  then prove that 1 + abc = 
(a)  2bc   
(b)  2ca  
(c)   2ba   
(d)   3bc 
6.  If x = 5
1/3 
+ 5
-1/3
, 5x
3
-15x is given by  
(a)  25    
© The Institute of Chartered Accountants of India
Page 2


1 
Test Series: March, 2019 
FOUNDATION COURSE 
MOCK TEST PAPER 
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time Allowed 2 Hours        Maximum Marks: 100 
QUESTIONS 
PART A: BUSINESS MATHEMATICS AND LOGICAL REASONING 
 
1.  The ratio compounded of 2:3, 9:4, 5:6 and 8: 10 is 
(a)  1: 1            
(b)  1:5                 
(c)  3: 8                   
(d)  none of these   
2.  The sub-triplicate ratio of 8: 27 
(a)  27: 8   
(b)  24: 81    
(c)  2: 3          
(d)  none of these  
3. If 
p r p r
q s q s
?
??
?
, the process is called  
(a)  Subtrahendo      
(b) Componendo  
(c)  Alternendo  
(d)  none of these  
4.  The value of 
? ? ? ? ? ?
2 2 2 2 2 2
a ab b b bc c c ca a
a b c
b c a
x x x
x x x
? ? ? ? ? ?
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
 
(a)  1           
(b) 0     
(c)  -1    
(d)   none of these  
5.   If a = 
12
log 24  , b = 
36
log 24  , b = 
48
log 36  then prove that 1 + abc = 
(a)  2bc   
(b)  2ca  
(c)   2ba   
(d)   3bc 
6.  If x = 5
1/3 
+ 5
-1/3
, 5x
3
-15x is given by  
(a)  25    
© The Institute of Chartered Accountants of India
2 
(b)  26   
(c)  27   
(d)  30 
7.  Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice 
that of his son. The present age of the father and the son are  
(a)  (50, 20)                      
(b) (60, 20)                        
(c)  (55, 25)             
(d)  none of these  
8.  When two roots of quadratic equations are a and 
1
?
then what will be quadratic equation. 
(a)  a x
2
-(a
2
+1) x + a = 0                
(b)  a x
2
- a
2
 x + a = 0            
(c)  a x
2 
+
 
(a
2
+1) x + a = 0  
(d)  none of these  
(9)   Let a and ß be the roots of equation   x
2
+7 x + 12 = 0. Then the value of 
22
aß
+
ßa
??
??
??
 will be  
(a)  
49 144
144 49
+
??
??
??
  
(b)  
7 12
12 7
+
??
??
??
   
(c)  
91
12
??
?
??
??
   
(d)  none of these  
10. If A = 
52
13
? ??
??
?
??
, then Adjoint of Matrix A  
(a) 
32
15
? ??
??
?
??
  
(b)  
52
13
??
??
?
??
 
(c)   
32
15
? ??
??
??
 
(d)  
32
15
??
??
??
 
© The Institute of Chartered Accountants of India
Page 3


1 
Test Series: March, 2019 
FOUNDATION COURSE 
MOCK TEST PAPER 
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time Allowed 2 Hours        Maximum Marks: 100 
QUESTIONS 
PART A: BUSINESS MATHEMATICS AND LOGICAL REASONING 
 
1.  The ratio compounded of 2:3, 9:4, 5:6 and 8: 10 is 
(a)  1: 1            
(b)  1:5                 
(c)  3: 8                   
(d)  none of these   
2.  The sub-triplicate ratio of 8: 27 
(a)  27: 8   
(b)  24: 81    
(c)  2: 3          
(d)  none of these  
3. If 
p r p r
q s q s
?
??
?
, the process is called  
(a)  Subtrahendo      
(b) Componendo  
(c)  Alternendo  
(d)  none of these  
4.  The value of 
? ? ? ? ? ?
2 2 2 2 2 2
a ab b b bc c c ca a
a b c
b c a
x x x
x x x
? ? ? ? ? ?
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
 
(a)  1           
(b) 0     
(c)  -1    
(d)   none of these  
5.   If a = 
12
log 24  , b = 
36
log 24  , b = 
48
log 36  then prove that 1 + abc = 
(a)  2bc   
(b)  2ca  
(c)   2ba   
(d)   3bc 
6.  If x = 5
1/3 
+ 5
-1/3
, 5x
3
-15x is given by  
(a)  25    
© The Institute of Chartered Accountants of India
2 
(b)  26   
(c)  27   
(d)  30 
7.  Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice 
that of his son. The present age of the father and the son are  
(a)  (50, 20)                      
(b) (60, 20)                        
(c)  (55, 25)             
(d)  none of these  
8.  When two roots of quadratic equations are a and 
1
?
then what will be quadratic equation. 
(a)  a x
2
-(a
2
+1) x + a = 0                
(b)  a x
2
- a
2
 x + a = 0            
(c)  a x
2 
+
 
(a
2
+1) x + a = 0  
(d)  none of these  
(9)   Let a and ß be the roots of equation   x
2
+7 x + 12 = 0. Then the value of 
22
aß
+
ßa
??
??
??
 will be  
(a)  
49 144
144 49
+
??
??
??
  
(b)  
7 12
12 7
+
??
??
??
   
(c)  
91
12
??
?
??
??
   
(d)  none of these  
10. If A = 
52
13
? ??
??
?
??
, then Adjoint of Matrix A  
(a) 
32
15
? ??
??
?
??
  
(b)  
52
13
??
??
?
??
 
(c)   
32
15
? ??
??
??
 
(d)  
32
15
??
??
??
 
© The Institute of Chartered Accountants of India
3 
11.  If A = 
5
0
x
y
??
??
??
 and A = A
T
, then  
(a)  x = 0, y = 5                  
(b)  x = y                    
(c)  x + y = 5           
(d)  none of these  
12. If A = 
23
2
ii
ii
??
??
??
 (here i
2 
= -1) then A =  
(a)  2                                      
(b)  8                        
(c)  4                
(d)  5  
13.  On solving the inequalities 5x + y =100, x + y = 60, x = 0 and y = 0, we get the following situation. 
(a)  (0, 0), (20, 0), (10, 50)   and (0,60)  
(b)  (0, 0), (60, 0), (10, 50)    and (0,60)       
(c)  (0, 0), (20, 0), (0, 100)    and (10,50)                     
(d)  none of these  
14. A certain money doubles itself in 10 years when deposited on simple interest. It would triple itself in  
(a)  30 years  
(b)  20 years  
(c)  25 years  
(d)  15 years    
15.  A man deposited Rs. 8, 000 in a bank for 3 years at 5% per annum compound interest, after 3 years he will 
get  
(a)  Rs. 9,000  
(b)  Rs.8, 800  
(c)  Rs. 9,200  
(d)  Rs. 9261  
16.  The effective rate of interest for one year corresponding to a nominal at 7% rate of interest per annum 
convertible quarterly is  
(a)  Rs. 240  
(b)  Rs. 200  
(c)  Rs.220 
(d)  Rs.210  
17. The value of furniture depreciates by 10% a year, if the present value of the furniture in an office is Rs. 21870, 
calculate the value of furniture 3 years ago. 
(a)  Rs. 30,000       
(b)  Rs. 35,000                               
© The Institute of Chartered Accountants of India
Page 4


1 
Test Series: March, 2019 
FOUNDATION COURSE 
MOCK TEST PAPER 
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time Allowed 2 Hours        Maximum Marks: 100 
QUESTIONS 
PART A: BUSINESS MATHEMATICS AND LOGICAL REASONING 
 
1.  The ratio compounded of 2:3, 9:4, 5:6 and 8: 10 is 
(a)  1: 1            
(b)  1:5                 
(c)  3: 8                   
(d)  none of these   
2.  The sub-triplicate ratio of 8: 27 
(a)  27: 8   
(b)  24: 81    
(c)  2: 3          
(d)  none of these  
3. If 
p r p r
q s q s
?
??
?
, the process is called  
(a)  Subtrahendo      
(b) Componendo  
(c)  Alternendo  
(d)  none of these  
4.  The value of 
? ? ? ? ? ?
2 2 2 2 2 2
a ab b b bc c c ca a
a b c
b c a
x x x
x x x
? ? ? ? ? ?
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
 
(a)  1           
(b) 0     
(c)  -1    
(d)   none of these  
5.   If a = 
12
log 24  , b = 
36
log 24  , b = 
48
log 36  then prove that 1 + abc = 
(a)  2bc   
(b)  2ca  
(c)   2ba   
(d)   3bc 
6.  If x = 5
1/3 
+ 5
-1/3
, 5x
3
-15x is given by  
(a)  25    
© The Institute of Chartered Accountants of India
2 
(b)  26   
(c)  27   
(d)  30 
7.  Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice 
that of his son. The present age of the father and the son are  
(a)  (50, 20)                      
(b) (60, 20)                        
(c)  (55, 25)             
(d)  none of these  
8.  When two roots of quadratic equations are a and 
1
?
then what will be quadratic equation. 
(a)  a x
2
-(a
2
+1) x + a = 0                
(b)  a x
2
- a
2
 x + a = 0            
(c)  a x
2 
+
 
(a
2
+1) x + a = 0  
(d)  none of these  
(9)   Let a and ß be the roots of equation   x
2
+7 x + 12 = 0. Then the value of 
22
aß
+
ßa
??
??
??
 will be  
(a)  
49 144
144 49
+
??
??
??
  
(b)  
7 12
12 7
+
??
??
??
   
(c)  
91
12
??
?
??
??
   
(d)  none of these  
10. If A = 
52
13
? ??
??
?
??
, then Adjoint of Matrix A  
(a) 
32
15
? ??
??
?
??
  
(b)  
52
13
??
??
?
??
 
(c)   
32
15
? ??
??
??
 
(d)  
32
15
??
??
??
 
© The Institute of Chartered Accountants of India
3 
11.  If A = 
5
0
x
y
??
??
??
 and A = A
T
, then  
(a)  x = 0, y = 5                  
(b)  x = y                    
(c)  x + y = 5           
(d)  none of these  
12. If A = 
23
2
ii
ii
??
??
??
 (here i
2 
= -1) then A =  
(a)  2                                      
(b)  8                        
(c)  4                
(d)  5  
13.  On solving the inequalities 5x + y =100, x + y = 60, x = 0 and y = 0, we get the following situation. 
(a)  (0, 0), (20, 0), (10, 50)   and (0,60)  
(b)  (0, 0), (60, 0), (10, 50)    and (0,60)       
(c)  (0, 0), (20, 0), (0, 100)    and (10,50)                     
(d)  none of these  
14. A certain money doubles itself in 10 years when deposited on simple interest. It would triple itself in  
(a)  30 years  
(b)  20 years  
(c)  25 years  
(d)  15 years    
15.  A man deposited Rs. 8, 000 in a bank for 3 years at 5% per annum compound interest, after 3 years he will 
get  
(a)  Rs. 9,000  
(b)  Rs.8, 800  
(c)  Rs. 9,200  
(d)  Rs. 9261  
16.  The effective rate of interest for one year corresponding to a nominal at 7% rate of interest per annum 
convertible quarterly is  
(a)  Rs. 240  
(b)  Rs. 200  
(c)  Rs.220 
(d)  Rs.210  
17. The value of furniture depreciates by 10% a year, if the present value of the furniture in an office is Rs. 21870, 
calculate the value of furniture 3 years ago. 
(a)  Rs. 30,000       
(b)  Rs. 35,000                               
© The Institute of Chartered Accountants of India
4 
(c)  Rs. 40,000                               
(d)  Rs. 45,000                                                       
18.  The population of a town increases every year by 2 % of the population beginning of that year. The number 
of years by which the total increase of population be 40% is  
(a)  7 years  
(b) 10 years  
(c)  17 years (approximately)  
(d)  none of these  
19. Find the future value of an annuity of Rs. 500 made annually for 7 years at interest rate of 14 % per annum 
         [Given that (1.14)
7 
= 2.5023] 
(a)  Rs. 5365.35   
(b)  Rs. 5000  
(c)  Rs. 5325.65  
(d)  Rs.6000.35  
20.  Rs. 200 invested at the end of each month in an account paying interest 6% per year compounded monthly . 
What is the future value of this annuity after 10
th
 payment? [Given that (1.005) 
10 
= 1.0511] 
(a)  Rs. 2045           
(b)  Rs.5055             
(c)  Rs.2044                 
(d)  Rs.2065 
21.  Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you 
deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded 
annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)  
(a) Rs.41,698.70 
(b)  Rs.45,698.70 
(c)  Rs.42,698.70 
(d)  Rs.43,698.70 
22.  Nominal Rate of Return =  
(a)  Real Rate of Return – Inflation  
(b) Real Rate of Return + Inflation 
(c)  Inflation -Real Rate of return  
(d)  None of the above  
23. Net Present Value (NPV)  
(a)  Present value of net cash Inflow – Total net Investment  
(b)  Present value of net cash Inflow – Present value of cash outflow  
(c)   Total net Investment- Present value of net cash Inflow 
(d) a or b  
24.  The annual birth rates per 1,000 are 39.4 and 19.4 respectively. The number of years which the population 
will be doubled assuming there is no immigration or emigration is  
(a) 35 years  
© The Institute of Chartered Accountants of India
Page 5


1 
Test Series: March, 2019 
FOUNDATION COURSE 
MOCK TEST PAPER 
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time Allowed 2 Hours        Maximum Marks: 100 
QUESTIONS 
PART A: BUSINESS MATHEMATICS AND LOGICAL REASONING 
 
1.  The ratio compounded of 2:3, 9:4, 5:6 and 8: 10 is 
(a)  1: 1            
(b)  1:5                 
(c)  3: 8                   
(d)  none of these   
2.  The sub-triplicate ratio of 8: 27 
(a)  27: 8   
(b)  24: 81    
(c)  2: 3          
(d)  none of these  
3. If 
p r p r
q s q s
?
??
?
, the process is called  
(a)  Subtrahendo      
(b) Componendo  
(c)  Alternendo  
(d)  none of these  
4.  The value of 
? ? ? ? ? ?
2 2 2 2 2 2
a ab b b bc c c ca a
a b c
b c a
x x x
x x x
? ? ? ? ? ?
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
 
(a)  1           
(b) 0     
(c)  -1    
(d)   none of these  
5.   If a = 
12
log 24  , b = 
36
log 24  , b = 
48
log 36  then prove that 1 + abc = 
(a)  2bc   
(b)  2ca  
(c)   2ba   
(d)   3bc 
6.  If x = 5
1/3 
+ 5
-1/3
, 5x
3
-15x is given by  
(a)  25    
© The Institute of Chartered Accountants of India
2 
(b)  26   
(c)  27   
(d)  30 
7.  Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice 
that of his son. The present age of the father and the son are  
(a)  (50, 20)                      
(b) (60, 20)                        
(c)  (55, 25)             
(d)  none of these  
8.  When two roots of quadratic equations are a and 
1
?
then what will be quadratic equation. 
(a)  a x
2
-(a
2
+1) x + a = 0                
(b)  a x
2
- a
2
 x + a = 0            
(c)  a x
2 
+
 
(a
2
+1) x + a = 0  
(d)  none of these  
(9)   Let a and ß be the roots of equation   x
2
+7 x + 12 = 0. Then the value of 
22
aß
+
ßa
??
??
??
 will be  
(a)  
49 144
144 49
+
??
??
??
  
(b)  
7 12
12 7
+
??
??
??
   
(c)  
91
12
??
?
??
??
   
(d)  none of these  
10. If A = 
52
13
? ??
??
?
??
, then Adjoint of Matrix A  
(a) 
32
15
? ??
??
?
??
  
(b)  
52
13
??
??
?
??
 
(c)   
32
15
? ??
??
??
 
(d)  
32
15
??
??
??
 
© The Institute of Chartered Accountants of India
3 
11.  If A = 
5
0
x
y
??
??
??
 and A = A
T
, then  
(a)  x = 0, y = 5                  
(b)  x = y                    
(c)  x + y = 5           
(d)  none of these  
12. If A = 
23
2
ii
ii
??
??
??
 (here i
2 
= -1) then A =  
(a)  2                                      
(b)  8                        
(c)  4                
(d)  5  
13.  On solving the inequalities 5x + y =100, x + y = 60, x = 0 and y = 0, we get the following situation. 
(a)  (0, 0), (20, 0), (10, 50)   and (0,60)  
(b)  (0, 0), (60, 0), (10, 50)    and (0,60)       
(c)  (0, 0), (20, 0), (0, 100)    and (10,50)                     
(d)  none of these  
14. A certain money doubles itself in 10 years when deposited on simple interest. It would triple itself in  
(a)  30 years  
(b)  20 years  
(c)  25 years  
(d)  15 years    
15.  A man deposited Rs. 8, 000 in a bank for 3 years at 5% per annum compound interest, after 3 years he will 
get  
(a)  Rs. 9,000  
(b)  Rs.8, 800  
(c)  Rs. 9,200  
(d)  Rs. 9261  
16.  The effective rate of interest for one year corresponding to a nominal at 7% rate of interest per annum 
convertible quarterly is  
(a)  Rs. 240  
(b)  Rs. 200  
(c)  Rs.220 
(d)  Rs.210  
17. The value of furniture depreciates by 10% a year, if the present value of the furniture in an office is Rs. 21870, 
calculate the value of furniture 3 years ago. 
(a)  Rs. 30,000       
(b)  Rs. 35,000                               
© The Institute of Chartered Accountants of India
4 
(c)  Rs. 40,000                               
(d)  Rs. 45,000                                                       
18.  The population of a town increases every year by 2 % of the population beginning of that year. The number 
of years by which the total increase of population be 40% is  
(a)  7 years  
(b) 10 years  
(c)  17 years (approximately)  
(d)  none of these  
19. Find the future value of an annuity of Rs. 500 made annually for 7 years at interest rate of 14 % per annum 
         [Given that (1.14)
7 
= 2.5023] 
(a)  Rs. 5365.35   
(b)  Rs. 5000  
(c)  Rs. 5325.65  
(d)  Rs.6000.35  
20.  Rs. 200 invested at the end of each month in an account paying interest 6% per year compounded monthly . 
What is the future value of this annuity after 10
th
 payment? [Given that (1.005) 
10 
= 1.0511] 
(a)  Rs. 2045           
(b)  Rs.5055             
(c)  Rs.2044                 
(d)  Rs.2065 
21.  Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you 
deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded 
annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)  
(a) Rs.41,698.70 
(b)  Rs.45,698.70 
(c)  Rs.42,698.70 
(d)  Rs.43,698.70 
22.  Nominal Rate of Return =  
(a)  Real Rate of Return – Inflation  
(b) Real Rate of Return + Inflation 
(c)  Inflation -Real Rate of return  
(d)  None of the above  
23. Net Present Value (NPV)  
(a)  Present value of net cash Inflow – Total net Investment  
(b)  Present value of net cash Inflow – Present value of cash outflow  
(c)   Total net Investment- Present value of net cash Inflow 
(d) a or b  
24.  The annual birth rates per 1,000 are 39.4 and 19.4 respectively. The number of years which the population 
will be doubled assuming there is no immigration or emigration is  
(a) 35 years  
© The Institute of Chartered Accountants of India
5 
(b)  30 years 
(c)  25 years  
(d)  none of these  
25.  Y bought Motor Bike Costing 80,000 by making down payment of Rs. 30000 and agreeing to make annual 
payment for four years. How much would be each payment if the interest on unpaid amount be 14% 
compounded annually. [Given P (4, 0.14) = 2.91371] 
(a)  Rs. 17160.25 
(b)  Rs. 17600.25 
(c)  Rs.15600.25 
(d)  Rs.  16600.25 
26.  The value of K, for which the terms 7K +3, 4K-5, 2K+10 are in A.P., is  
(a) 13 
(b) - 23 
(c)  13 
(d)  23 
27.  If A = {1,2,3,4} and B = {1,4,9,16,25} is a function of f is defined set A to B where f(x) = x
2 
then the range of f 
is  
(a)  {1,2,3,4} 
(b)  {1,4,9,16} 
(c)  {1,4,9,16, 25} 
(d)  none of these  
28.  If 
n 
Pr = 336 and 
n
Cr = 56, then n and r will be  
(a)  (3,2)  
(b)  (8, 3)  
(c)  (7, 4)  
(d)  none of these  
29.  If A = {1,2,3,4,5,6,7} and B = {2,4,6} Cardinal number of AUB  
(a)  3 
(b)  16 
(c)  5 
(d)  7 
30.  In how many ways the letters of the word ‘ARRANGE’ be arranged?  
(a)  1,200 
(b)  1,250 
(c)  1,260 
(d)  1,300 
31. The number of ways in which 8 examination papers be arranged so that the best and worst papers never 
come together. 
(a) 8! - 2× 7! 
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