Mock Test: Business Mathematics, Logical Reasoning and Statistics(Paper-3) - May 2023 | Mock Tests & Past Year Papers for CA Foundation PDF Download

 Page 1


 
MOCK TEST PAPER 1 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The value of 
( )
( ) ( )
6
43
2
2
3
64
4
ba
a b ab
??
?
??
??
  
(a)   16 a
10
b
20
 
(b)   4 a
20
b
10 
(c)    8 a
10
b
20 
(d)
 
   4 a
10
b
20 
2. Four persons A, B, C, D wish to share a sum in the ratio of 5:4:2:3. If D gets `1000 less than C, then 
the share of B ?  
(a)  2000 
(b)  1200 
(c)  2400 
(d)  3000 
3.  The mean proportional between 12x
2 
and 27y
2
 
(a)  18 xy 
(b)  81 xy 
(c)  8xy 
(d)  9xy 
4. If thrice of A’s age 6 years ago be subtracted from twice his present age, the result would be equal to 
his present age. Find A’s present age.  
(a)  7 
(b)  8 
(c)  9 
(d)  6 
5. If one root of the quadratic equation is 2-v3 from the equation given that the roots are irrational. Then 
find the Quadratic equation.  
(a)  x
2
-4x+1=0 
(b)  x
2
+4x-1=0 
(c)  x
2
-4x-1=0 
(d)  x
2
+4x+1=0 
© The Institute of Chartered Accountants of India
Page 2


 
MOCK TEST PAPER 1 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The value of 
( )
( ) ( )
6
43
2
2
3
64
4
ba
a b ab
??
?
??
??
  
(a)   16 a
10
b
20
 
(b)   4 a
20
b
10 
(c)    8 a
10
b
20 
(d)
 
   4 a
10
b
20 
2. Four persons A, B, C, D wish to share a sum in the ratio of 5:4:2:3. If D gets `1000 less than C, then 
the share of B ?  
(a)  2000 
(b)  1200 
(c)  2400 
(d)  3000 
3.  The mean proportional between 12x
2 
and 27y
2
 
(a)  18 xy 
(b)  81 xy 
(c)  8xy 
(d)  9xy 
4. If thrice of A’s age 6 years ago be subtracted from twice his present age, the result would be equal to 
his present age. Find A’s present age.  
(a)  7 
(b)  8 
(c)  9 
(d)  6 
5. If one root of the quadratic equation is 2-v3 from the equation given that the roots are irrational. Then 
find the Quadratic equation.  
(a)  x
2
-4x+1=0 
(b)  x
2
+4x-1=0 
(c)  x
2
-4x-1=0 
(d)  x
2
+4x+1=0 
© The Institute of Chartered Accountants of India
6.  If log 3 4. log 4 5. log 5 6. log 6 7. log 7 8. log 89  = x, then find the value of x 
(a)  4 
(b)  2 
(c)  3 
(d)  1 
7. if ½ log 10
4
= y and if ½ log 10
9
= x, then the value of  log 10
15 
(a) x-y+1 
(b)  x+y-1 
(c)  x+y+1 
(d)  y-x+1 
8.  If the roots of (k-4)x
2
-2kx+(k+5)= 0 are coincident . Then the value of k?  
(a)  14 
(b)  20 
(c)  18 
(d)  22 
9.  If 3x+2<2x+5 and 4x-5=2x-3, then x can take from the following values  
(a)  3 
(b)  -1 
(c)  2 
(d)  -3 
10. The cost prices of 3 pens and 4 bags is `324. and 4 pens and 3 bags is `257, then cost price of 1 pen 
is equal to  
(a)  `16 
(b)  `18 
(c)  `50 
(d)  `75 
11. In a hostel ration stocked for 400 students upto 31 days. After 28 days 280 students were vacated the 
hostel. Find the number of days for which the remaining ratio will be sufficient for the remaining students.  
(a)  5 
(b)  4 
(c)  7 
(d)  10  
12. The sum of the two numbers is 8 and the sum of their squares is 34. Taking one number as x form an 
equation in x and hence find the numbers. The numbers are  
(a)  (7,10) 
(b)  (4,4) 
© The Institute of Chartered Accountants of India
Page 3


 
MOCK TEST PAPER 1 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The value of 
( )
( ) ( )
6
43
2
2
3
64
4
ba
a b ab
??
?
??
??
  
(a)   16 a
10
b
20
 
(b)   4 a
20
b
10 
(c)    8 a
10
b
20 
(d)
 
   4 a
10
b
20 
2. Four persons A, B, C, D wish to share a sum in the ratio of 5:4:2:3. If D gets `1000 less than C, then 
the share of B ?  
(a)  2000 
(b)  1200 
(c)  2400 
(d)  3000 
3.  The mean proportional between 12x
2 
and 27y
2
 
(a)  18 xy 
(b)  81 xy 
(c)  8xy 
(d)  9xy 
4. If thrice of A’s age 6 years ago be subtracted from twice his present age, the result would be equal to 
his present age. Find A’s present age.  
(a)  7 
(b)  8 
(c)  9 
(d)  6 
5. If one root of the quadratic equation is 2-v3 from the equation given that the roots are irrational. Then 
find the Quadratic equation.  
(a)  x
2
-4x+1=0 
(b)  x
2
+4x-1=0 
(c)  x
2
-4x-1=0 
(d)  x
2
+4x+1=0 
© The Institute of Chartered Accountants of India
6.  If log 3 4. log 4 5. log 5 6. log 6 7. log 7 8. log 89  = x, then find the value of x 
(a)  4 
(b)  2 
(c)  3 
(d)  1 
7. if ½ log 10
4
= y and if ½ log 10
9
= x, then the value of  log 10
15 
(a) x-y+1 
(b)  x+y-1 
(c)  x+y+1 
(d)  y-x+1 
8.  If the roots of (k-4)x
2
-2kx+(k+5)= 0 are coincident . Then the value of k?  
(a)  14 
(b)  20 
(c)  18 
(d)  22 
9.  If 3x+2<2x+5 and 4x-5=2x-3, then x can take from the following values  
(a)  3 
(b)  -1 
(c)  2 
(d)  -3 
10. The cost prices of 3 pens and 4 bags is `324. and 4 pens and 3 bags is `257, then cost price of 1 pen 
is equal to  
(a)  `16 
(b)  `18 
(c)  `50 
(d)  `75 
11. In a hostel ration stocked for 400 students upto 31 days. After 28 days 280 students were vacated the 
hostel. Find the number of days for which the remaining ratio will be sufficient for the remaining students.  
(a)  5 
(b)  4 
(c)  7 
(d)  10  
12. The sum of the two numbers is 8 and the sum of their squares is 34. Taking one number as x form an 
equation in x and hence find the numbers. The numbers are  
(a)  (7,10) 
(b)  (4,4) 
© The Institute of Chartered Accountants of India
(c)  (3,5) 
(d)  (2,6)  
13. `80,000 is invested to earn a monthly interest of `1200 at the rate of _______ p.a. Simple interest.  
(a)  12% 
(b)  14% 
(c)  16% 
(d)  18% 
14.  Find the present value of an ordinary annuity of 8 quarterly payments of `500 each, the rate of interest 
being 8% p.a. compound quarterly  
(a)  4275.00  
(b)  4725.00 
(c)  3662.50 
(d)  3266.50 
15.  The effective annual rate of interest corresponding to a normal rate of 6% per annum payable half yearly 
is:  
(a)  6.06 % 
(b)  6.07 %  
(c)  6.08 % 
(d)  6.09 %  
16.  A trust fund has invested ` 27000 money in two schemes ‘A’ and ‘B’ offering compound interest at the 
rate of 8% and 9% per annum respectively. It the total amount of interest accrued through these two 
schemes together in two years was ` 4818.30. What was the amount invested in schemes ‘A’?  
(a)  `12,000  
(b)  `12,500  
(c)  `13,000  
(d)  `12,500  
17.  A sum of money invested of compound interest double itself in four years. In how many years it become 
32 times of itself at the same rate of compound interest.  
(a)  12 years  
(b) 16 years  
(c)   20 years  
(d)  18 years  
18.  The difference between compound interest and simple interest on an amount of `15,000 for 2 years is  
`96. What is the rate of interest per Annam?  
(a)  9%  
(b)  8%  
© The Institute of Chartered Accountants of India
Page 4


 
MOCK TEST PAPER 1 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The value of 
( )
( ) ( )
6
43
2
2
3
64
4
ba
a b ab
??
?
??
??
  
(a)   16 a
10
b
20
 
(b)   4 a
20
b
10 
(c)    8 a
10
b
20 
(d)
 
   4 a
10
b
20 
2. Four persons A, B, C, D wish to share a sum in the ratio of 5:4:2:3. If D gets `1000 less than C, then 
the share of B ?  
(a)  2000 
(b)  1200 
(c)  2400 
(d)  3000 
3.  The mean proportional between 12x
2 
and 27y
2
 
(a)  18 xy 
(b)  81 xy 
(c)  8xy 
(d)  9xy 
4. If thrice of A’s age 6 years ago be subtracted from twice his present age, the result would be equal to 
his present age. Find A’s present age.  
(a)  7 
(b)  8 
(c)  9 
(d)  6 
5. If one root of the quadratic equation is 2-v3 from the equation given that the roots are irrational. Then 
find the Quadratic equation.  
(a)  x
2
-4x+1=0 
(b)  x
2
+4x-1=0 
(c)  x
2
-4x-1=0 
(d)  x
2
+4x+1=0 
© The Institute of Chartered Accountants of India
6.  If log 3 4. log 4 5. log 5 6. log 6 7. log 7 8. log 89  = x, then find the value of x 
(a)  4 
(b)  2 
(c)  3 
(d)  1 
7. if ½ log 10
4
= y and if ½ log 10
9
= x, then the value of  log 10
15 
(a) x-y+1 
(b)  x+y-1 
(c)  x+y+1 
(d)  y-x+1 
8.  If the roots of (k-4)x
2
-2kx+(k+5)= 0 are coincident . Then the value of k?  
(a)  14 
(b)  20 
(c)  18 
(d)  22 
9.  If 3x+2<2x+5 and 4x-5=2x-3, then x can take from the following values  
(a)  3 
(b)  -1 
(c)  2 
(d)  -3 
10. The cost prices of 3 pens and 4 bags is `324. and 4 pens and 3 bags is `257, then cost price of 1 pen 
is equal to  
(a)  `16 
(b)  `18 
(c)  `50 
(d)  `75 
11. In a hostel ration stocked for 400 students upto 31 days. After 28 days 280 students were vacated the 
hostel. Find the number of days for which the remaining ratio will be sufficient for the remaining students.  
(a)  5 
(b)  4 
(c)  7 
(d)  10  
12. The sum of the two numbers is 8 and the sum of their squares is 34. Taking one number as x form an 
equation in x and hence find the numbers. The numbers are  
(a)  (7,10) 
(b)  (4,4) 
© The Institute of Chartered Accountants of India
(c)  (3,5) 
(d)  (2,6)  
13. `80,000 is invested to earn a monthly interest of `1200 at the rate of _______ p.a. Simple interest.  
(a)  12% 
(b)  14% 
(c)  16% 
(d)  18% 
14.  Find the present value of an ordinary annuity of 8 quarterly payments of `500 each, the rate of interest 
being 8% p.a. compound quarterly  
(a)  4275.00  
(b)  4725.00 
(c)  3662.50 
(d)  3266.50 
15.  The effective annual rate of interest corresponding to a normal rate of 6% per annum payable half yearly 
is:  
(a)  6.06 % 
(b)  6.07 %  
(c)  6.08 % 
(d)  6.09 %  
16.  A trust fund has invested ` 27000 money in two schemes ‘A’ and ‘B’ offering compound interest at the 
rate of 8% and 9% per annum respectively. It the total amount of interest accrued through these two 
schemes together in two years was ` 4818.30. What was the amount invested in schemes ‘A’?  
(a)  `12,000  
(b)  `12,500  
(c)  `13,000  
(d)  `12,500  
17.  A sum of money invested of compound interest double itself in four years. In how many years it become 
32 times of itself at the same rate of compound interest.  
(a)  12 years  
(b) 16 years  
(c)   20 years  
(d)  18 years  
18.  The difference between compound interest and simple interest on an amount of `15,000 for 2 years is  
`96. What is the rate of interest per Annam?  
(a)  9%  
(b)  8%  
© The Institute of Chartered Accountants of India
(c)  11%  
(d)  10%  
19. A machine with useful life of 7 years costs ` 10,000 while another machine with useful life of 5 years 
costs `8000. The first machine saves labour expenses of ` 1900 annually and the second one saves 
labour expenses of ` 2200 annually. 
 Determine the preferred course of action. Assume cost of borrowing as 10% c ompounded per annum. 
(a) 1st Machine should be purchased 
(b) 2nd Machine should be purchased 
(c) Information is not sufficient 
(d)  None of these 
20.  How much amount is required to be invested every year so as to accumulate `5,00,000 at the end of 12 
years if interest is compounded annually at 10% {Where A (12,0.1) = 3.1384284}  
(a)  `23381.65 
(b)  ` 24385.85  
(c)  `26381.65  
(d)  `28362.75  
21.  Raju invests `20,000 every year in a deposit scheme starting from today for next 12 years. Assuming 
that interest rate on this deposit is 7% per annum compounded annually. What will be the future value 
of this annuity? Given that (1+0.07)
12
= 2.25219150  
(a)  `540,576  
(b)  `382,813  
(c)  `643,483  
(d)  `357,769  
22.  Mr. A invested `20,000 every year for next 3 years at the interest rate of 8 percent per annum 
compounded annually. What is future value of the annuity? (1.08)^3 = 1.2597) 
(a)  62644   
(b)  62464  
(c)  64928 
(d)  63442  
23.  `10,000 is invested every month and in an account paying interest @ 12% per annum compounded 
monthly. What is the future value of this annuity just after making 11
th
 payment” (Given that (1.01)
11  
= 1.1156)  
(a)  `115,600 
(b)  `156100  
(c)  `156,800 
(d)  `157,100  
 
© The Institute of Chartered Accountants of India
Page 5


 
MOCK TEST PAPER 1 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours       Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1. The value of 
( )
( ) ( )
6
43
2
2
3
64
4
ba
a b ab
??
?
??
??
  
(a)   16 a
10
b
20
 
(b)   4 a
20
b
10 
(c)    8 a
10
b
20 
(d)
 
   4 a
10
b
20 
2. Four persons A, B, C, D wish to share a sum in the ratio of 5:4:2:3. If D gets `1000 less than C, then 
the share of B ?  
(a)  2000 
(b)  1200 
(c)  2400 
(d)  3000 
3.  The mean proportional between 12x
2 
and 27y
2
 
(a)  18 xy 
(b)  81 xy 
(c)  8xy 
(d)  9xy 
4. If thrice of A’s age 6 years ago be subtracted from twice his present age, the result would be equal to 
his present age. Find A’s present age.  
(a)  7 
(b)  8 
(c)  9 
(d)  6 
5. If one root of the quadratic equation is 2-v3 from the equation given that the roots are irrational. Then 
find the Quadratic equation.  
(a)  x
2
-4x+1=0 
(b)  x
2
+4x-1=0 
(c)  x
2
-4x-1=0 
(d)  x
2
+4x+1=0 
© The Institute of Chartered Accountants of India
6.  If log 3 4. log 4 5. log 5 6. log 6 7. log 7 8. log 89  = x, then find the value of x 
(a)  4 
(b)  2 
(c)  3 
(d)  1 
7. if ½ log 10
4
= y and if ½ log 10
9
= x, then the value of  log 10
15 
(a) x-y+1 
(b)  x+y-1 
(c)  x+y+1 
(d)  y-x+1 
8.  If the roots of (k-4)x
2
-2kx+(k+5)= 0 are coincident . Then the value of k?  
(a)  14 
(b)  20 
(c)  18 
(d)  22 
9.  If 3x+2<2x+5 and 4x-5=2x-3, then x can take from the following values  
(a)  3 
(b)  -1 
(c)  2 
(d)  -3 
10. The cost prices of 3 pens and 4 bags is `324. and 4 pens and 3 bags is `257, then cost price of 1 pen 
is equal to  
(a)  `16 
(b)  `18 
(c)  `50 
(d)  `75 
11. In a hostel ration stocked for 400 students upto 31 days. After 28 days 280 students were vacated the 
hostel. Find the number of days for which the remaining ratio will be sufficient for the remaining students.  
(a)  5 
(b)  4 
(c)  7 
(d)  10  
12. The sum of the two numbers is 8 and the sum of their squares is 34. Taking one number as x form an 
equation in x and hence find the numbers. The numbers are  
(a)  (7,10) 
(b)  (4,4) 
© The Institute of Chartered Accountants of India
(c)  (3,5) 
(d)  (2,6)  
13. `80,000 is invested to earn a monthly interest of `1200 at the rate of _______ p.a. Simple interest.  
(a)  12% 
(b)  14% 
(c)  16% 
(d)  18% 
14.  Find the present value of an ordinary annuity of 8 quarterly payments of `500 each, the rate of interest 
being 8% p.a. compound quarterly  
(a)  4275.00  
(b)  4725.00 
(c)  3662.50 
(d)  3266.50 
15.  The effective annual rate of interest corresponding to a normal rate of 6% per annum payable half yearly 
is:  
(a)  6.06 % 
(b)  6.07 %  
(c)  6.08 % 
(d)  6.09 %  
16.  A trust fund has invested ` 27000 money in two schemes ‘A’ and ‘B’ offering compound interest at the 
rate of 8% and 9% per annum respectively. It the total amount of interest accrued through these two 
schemes together in two years was ` 4818.30. What was the amount invested in schemes ‘A’?  
(a)  `12,000  
(b)  `12,500  
(c)  `13,000  
(d)  `12,500  
17.  A sum of money invested of compound interest double itself in four years. In how many years it become 
32 times of itself at the same rate of compound interest.  
(a)  12 years  
(b) 16 years  
(c)   20 years  
(d)  18 years  
18.  The difference between compound interest and simple interest on an amount of `15,000 for 2 years is  
`96. What is the rate of interest per Annam?  
(a)  9%  
(b)  8%  
© The Institute of Chartered Accountants of India
(c)  11%  
(d)  10%  
19. A machine with useful life of 7 years costs ` 10,000 while another machine with useful life of 5 years 
costs `8000. The first machine saves labour expenses of ` 1900 annually and the second one saves 
labour expenses of ` 2200 annually. 
 Determine the preferred course of action. Assume cost of borrowing as 10% c ompounded per annum. 
(a) 1st Machine should be purchased 
(b) 2nd Machine should be purchased 
(c) Information is not sufficient 
(d)  None of these 
20.  How much amount is required to be invested every year so as to accumulate `5,00,000 at the end of 12 
years if interest is compounded annually at 10% {Where A (12,0.1) = 3.1384284}  
(a)  `23381.65 
(b)  ` 24385.85  
(c)  `26381.65  
(d)  `28362.75  
21.  Raju invests `20,000 every year in a deposit scheme starting from today for next 12 years. Assuming 
that interest rate on this deposit is 7% per annum compounded annually. What will be the future value 
of this annuity? Given that (1+0.07)
12
= 2.25219150  
(a)  `540,576  
(b)  `382,813  
(c)  `643,483  
(d)  `357,769  
22.  Mr. A invested `20,000 every year for next 3 years at the interest rate of 8 percent per annum 
compounded annually. What is future value of the annuity? (1.08)^3 = 1.2597) 
(a)  62644   
(b)  62464  
(c)  64928 
(d)  63442  
23.  `10,000 is invested every month and in an account paying interest @ 12% per annum compounded 
monthly. What is the future value of this annuity just after making 11
th
 payment” (Given that (1.01)
11  
= 1.1156)  
(a)  `115,600 
(b)  `156100  
(c)  `156,800 
(d)  `157,100  
 
© The Institute of Chartered Accountants of India
24.  Sinking fund factor is the reciprocal of :  
(a)  Present value interest factor of a single cash flow  
(b)  Present value interest factor of an annuity  
(c)  Future value interest factor of an annuity  
(d)  Future value interest factor of a single cash flow.  
25.  10 years ago the earning per share (EPS) of ABC Ltd. was `5 share its EPS for this year is `22. Compute 
at what rate, EPS of the company grow annually?  
(a)  15.97% 
(b)  16.77%  
(c)  18.64%  
(d)  14.79%  
26. The number of ways of 4 boys and 3 girls are to be seated for a photograph in a row alternatively.  
(a)  24 
(b)  164 
(c)  144 
(d)  336 
27. if there are 30 points in a plane of which 5 points are lies on the same line. Then the number of triangles 
can be formed ? 
(a)  650 
(b)  580 
(c)  4050 
(d)   4060 
28. The value n, r If np r = 3024 and nc r = 126 
(a)  9,4  
(b)  10, 7 
(c)  12, 5  
(d)  11, 6  
29. The number of 3-digit odd numbers can be formed using the digits 5,6,7, 8, 9. If repetition is allowed?  
(a)  56 
(b)  75 
(c)  95 
(d)  45 
30.  If f(x) = x
2
 - 5, evaluate f (3), f (-4), f (5) and f (1). 
(a)  0, 11, 20, 4 
(b)  -4, 11, -2, 4 
© The Institute of Chartered Accountants of India