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

 Page 1


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.  
5
7
2
2
39
× 9 is equal to 
9 33
??
??
??
??
??
??
??
 
(a)  1 
(b)  v3 
(c)  3v3 
(d)  
3
93
  
2.  If  
p 2 2p + q
= then the value of is
q 3 2p - q
 
(a)  
1
7
 
(b)  -
1
7
 
(c)  1 
(d)  7 
3. 
a
1
log 3 = , find the value of a 
6
 
(a)  9 
(b)  81 
(c)  27 
(d)  3 
4.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
Page 2


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.  
5
7
2
2
39
× 9 is equal to 
9 33
??
??
??
??
??
??
??
 
(a)  1 
(b)  v3 
(c)  3v3 
(d)  
3
93
  
2.  If  
p 2 2p + q
= then the value of is
q 3 2p - q
 
(a)  
1
7
 
(b)  -
1
7
 
(c)  1 
(d)  7 
3. 
a
1
log 3 = , find the value of a 
6
 
(a)  9 
(b)  81 
(c)  27 
(d)  3 
4.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
2 
5.  Find the value of 
-1
1
-
3
3t
t
 
(a)  
2
3
3
t
 
(b)  
3
2
3
t
 
(c)  
1
3
3
t
 
(d)  
2
3
t
 
6. A bag conatind 25 paise, 10 paise and 5 paise are in the ratio 3:2:1. The total value of ` 40, the number 
of 5 paise coins is  
(a)  45 
(b)  48 
(c)  40 
(d)  20 
7.  If one root is 5z
2
+13z+y = 0 be receiprocal of the other then the value of y is  
(a)  
1
5
 
(b)  -
1
5
 
(c)  5 
(d)  -5 
8. If 2
X 
×3
y
×5
z
 =720 then the value of x, y, z ?  
(a)  4, 2, 1 
(b)  1, 2, 4 
(c)  2, 4, 1 
(d)  1, 4, 2 
9.  A man wants to cut three lengths from a single piece of boaard of length 91 cm. The Second length is 
to be 3 cm longer than the shortest and third length is to be twice as the shortest. What is the possible 
length for the shortest piece?  
(a)  22 
(b)  20 
(c)  15 
(d)  18 
 
Page 3


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.  
5
7
2
2
39
× 9 is equal to 
9 33
??
??
??
??
??
??
??
 
(a)  1 
(b)  v3 
(c)  3v3 
(d)  
3
93
  
2.  If  
p 2 2p + q
= then the value of is
q 3 2p - q
 
(a)  
1
7
 
(b)  -
1
7
 
(c)  1 
(d)  7 
3. 
a
1
log 3 = , find the value of a 
6
 
(a)  9 
(b)  81 
(c)  27 
(d)  3 
4.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
2 
5.  Find the value of 
-1
1
-
3
3t
t
 
(a)  
2
3
3
t
 
(b)  
3
2
3
t
 
(c)  
1
3
3
t
 
(d)  
2
3
t
 
6. A bag conatind 25 paise, 10 paise and 5 paise are in the ratio 3:2:1. The total value of ` 40, the number 
of 5 paise coins is  
(a)  45 
(b)  48 
(c)  40 
(d)  20 
7.  If one root is 5z
2
+13z+y = 0 be receiprocal of the other then the value of y is  
(a)  
1
5
 
(b)  -
1
5
 
(c)  5 
(d)  -5 
8. If 2
X 
×3
y
×5
z
 =720 then the value of x, y, z ?  
(a)  4, 2, 1 
(b)  1, 2, 4 
(c)  2, 4, 1 
(d)  1, 4, 2 
9.  A man wants to cut three lengths from a single piece of boaard of length 91 cm. The Second length is 
to be 3 cm longer than the shortest and third length is to be twice as the shortest. What is the possible 
length for the shortest piece?  
(a)  22 
(b)  20 
(c)  15 
(d)  18 
 
3 
10.  A labour can be paid under two methods of given below :  
(i)  ` 600 fixed and ` 50 per hour  
(ii)  ` 170 per hour  
 If a labour job work takes ‘r’ hours to complete , findout the value of r for which the method (ii) gives the 
labour gets the better w ages. 
(a) x= 6 
(b) x= 4 
(c) x=3 
(d) x=2 
11. The time required to produce a unit of product A is 3 hours and that for pro duct B is 5 hours . The total 
available time is 220 hours . If x and y are the number of units of A and B that are produced then 
(a)  3x+2y =220 
(b)  3x+5y=220, x=0, y=0 
(c)  3x+5y=220, x=0, y=0 
(d)  5x+2y=220, x=0, y=0 
12.  What must be added to each term of the ratio 49:68. So that it becomes 3:4 ?  
(a)  3 
(b)  5 
(c)  8 
(d)  9 
13.  Find future value of annuity of ` 1000 made annualy for seven yeras at interest rate 16% compounded 
annaualy. [Given that (1.16) 
7
= 2.8262]  
(a)  ` 11413.75 
(b)  ` 11000.35 
(c) ` 8756 
(d)  ` 9892.34 
14.  Assuming that the  discount rate is 7% is p.a . How much would you pay t o receive ` 500. Growing at 
5% annually forever?  
(a)  ` 2,500 
(b)  ` 5,000 
(c)  ` 7,500 
(d)  ` 25,000 
15.  Rajesh deposits ` 3,000 at the start of each quarter in his savings account. If the accaount earns int erest 
5.75% per annuam compounded quarterly, how much money (in `) while he have at the end of 4 y ears? 
[Given that (1.014375) 
16
= 1.25654] 
(a)  ` 54,308.6 
(b)  ` 58,553.6 
(c)  ` 68,353.6 
Page 4


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.  
5
7
2
2
39
× 9 is equal to 
9 33
??
??
??
??
??
??
??
 
(a)  1 
(b)  v3 
(c)  3v3 
(d)  
3
93
  
2.  If  
p 2 2p + q
= then the value of is
q 3 2p - q
 
(a)  
1
7
 
(b)  -
1
7
 
(c)  1 
(d)  7 
3. 
a
1
log 3 = , find the value of a 
6
 
(a)  9 
(b)  81 
(c)  27 
(d)  3 
4.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
2 
5.  Find the value of 
-1
1
-
3
3t
t
 
(a)  
2
3
3
t
 
(b)  
3
2
3
t
 
(c)  
1
3
3
t
 
(d)  
2
3
t
 
6. A bag conatind 25 paise, 10 paise and 5 paise are in the ratio 3:2:1. The total value of ` 40, the number 
of 5 paise coins is  
(a)  45 
(b)  48 
(c)  40 
(d)  20 
7.  If one root is 5z
2
+13z+y = 0 be receiprocal of the other then the value of y is  
(a)  
1
5
 
(b)  -
1
5
 
(c)  5 
(d)  -5 
8. If 2
X 
×3
y
×5
z
 =720 then the value of x, y, z ?  
(a)  4, 2, 1 
(b)  1, 2, 4 
(c)  2, 4, 1 
(d)  1, 4, 2 
9.  A man wants to cut three lengths from a single piece of boaard of length 91 cm. The Second length is 
to be 3 cm longer than the shortest and third length is to be twice as the shortest. What is the possible 
length for the shortest piece?  
(a)  22 
(b)  20 
(c)  15 
(d)  18 
 
3 
10.  A labour can be paid under two methods of given below :  
(i)  ` 600 fixed and ` 50 per hour  
(ii)  ` 170 per hour  
 If a labour job work takes ‘r’ hours to complete , findout the value of r for which the method (ii) gives the 
labour gets the better w ages. 
(a) x= 6 
(b) x= 4 
(c) x=3 
(d) x=2 
11. The time required to produce a unit of product A is 3 hours and that for pro duct B is 5 hours . The total 
available time is 220 hours . If x and y are the number of units of A and B that are produced then 
(a)  3x+2y =220 
(b)  3x+5y=220, x=0, y=0 
(c)  3x+5y=220, x=0, y=0 
(d)  5x+2y=220, x=0, y=0 
12.  What must be added to each term of the ratio 49:68. So that it becomes 3:4 ?  
(a)  3 
(b)  5 
(c)  8 
(d)  9 
13.  Find future value of annuity of ` 1000 made annualy for seven yeras at interest rate 16% compounded 
annaualy. [Given that (1.16) 
7
= 2.8262]  
(a)  ` 11413.75 
(b)  ` 11000.35 
(c) ` 8756 
(d)  ` 9892.34 
14.  Assuming that the  discount rate is 7% is p.a . How much would you pay t o receive ` 500. Growing at 
5% annually forever?  
(a)  ` 2,500 
(b)  ` 5,000 
(c)  ` 7,500 
(d)  ` 25,000 
15.  Rajesh deposits ` 3,000 at the start of each quarter in his savings account. If the accaount earns int erest 
5.75% per annuam compounded quarterly, how much money (in `) while he have at the end of 4 y ears? 
[Given that (1.014375) 
16
= 1.25654] 
(a)  ` 54,308.6 
(b)  ` 58,553.6 
(c)  ` 68,353.6 
4 
(d)  ` 63,624.4 
16. The annual rate of simple interest is 12.5%. In how many years does princi pal doubles?  
(a)  11 years  
(b)  9 years  
(c)  8 years  
(d)  7 years  
17.  ` 5000 is paid every year for 10 years to pay off a loan. What is the loan am ount of interest rate be 14% 
p.a compounded annualy?  
(a)  ` 26,000.90 
(b)  ` 26080.55 
(c)  ` 15000.21 
(d)  ` 16,345.11 
18. ` 800 is invested at t he end of each month in account pay ing 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)  ` 4444 
(b)  ` 8766 
(c)  ` 3491 
(d)  ` 8176 
19.   Certain sum of money borrowed at simple interest to ` 2688 in three years and to ` 2784 in  four years 
at the rate per annum equal to  
(a)  4% 
(b)  6% 
(c)  5% 
(d)  7% 
20. Ravi made of an investment of ` 15,000 in a scheme and at the time of maturity th e time of maturity the 
amount was ` 25,000. If Compound Annual Growth Rate (CAGR) for this investment is 8.88% . Calculate 
the approximate number of years for which he has invested the amount.  
(a)  6 
(b)  7.7 
(c)  5.5 
(d)  7 
21. Madhu takes a loan of ` 50,000 from ABC Bank LTD.The rate of interest is 10% per annum. The first 
instalmennt will be paid  at the end of five year. Determine the amount (in `) of equal instalments, if 
Madhu wishes to repay the amount in five years. 
(a)  ` 19,510 
(b)  ` 19,430 
(c)  ` 19,310 
(d)  ` 16,630 
Page 5


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.  
5
7
2
2
39
× 9 is equal to 
9 33
??
??
??
??
??
??
??
 
(a)  1 
(b)  v3 
(c)  3v3 
(d)  
3
93
  
2.  If  
p 2 2p + q
= then the value of is
q 3 2p - q
 
(a)  
1
7
 
(b)  -
1
7
 
(c)  1 
(d)  7 
3. 
a
1
log 3 = , find the value of a 
6
 
(a)  9 
(b)  81 
(c)  27 
(d)  3 
4.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
2 
5.  Find the value of 
-1
1
-
3
3t
t
 
(a)  
2
3
3
t
 
(b)  
3
2
3
t
 
(c)  
1
3
3
t
 
(d)  
2
3
t
 
6. A bag conatind 25 paise, 10 paise and 5 paise are in the ratio 3:2:1. The total value of ` 40, the number 
of 5 paise coins is  
(a)  45 
(b)  48 
(c)  40 
(d)  20 
7.  If one root is 5z
2
+13z+y = 0 be receiprocal of the other then the value of y is  
(a)  
1
5
 
(b)  -
1
5
 
(c)  5 
(d)  -5 
8. If 2
X 
×3
y
×5
z
 =720 then the value of x, y, z ?  
(a)  4, 2, 1 
(b)  1, 2, 4 
(c)  2, 4, 1 
(d)  1, 4, 2 
9.  A man wants to cut three lengths from a single piece of boaard of length 91 cm. The Second length is 
to be 3 cm longer than the shortest and third length is to be twice as the shortest. What is the possible 
length for the shortest piece?  
(a)  22 
(b)  20 
(c)  15 
(d)  18 
 
3 
10.  A labour can be paid under two methods of given below :  
(i)  ` 600 fixed and ` 50 per hour  
(ii)  ` 170 per hour  
 If a labour job work takes ‘r’ hours to complete , findout the value of r for which the method (ii) gives the 
labour gets the better w ages. 
(a) x= 6 
(b) x= 4 
(c) x=3 
(d) x=2 
11. The time required to produce a unit of product A is 3 hours and that for pro duct B is 5 hours . The total 
available time is 220 hours . If x and y are the number of units of A and B that are produced then 
(a)  3x+2y =220 
(b)  3x+5y=220, x=0, y=0 
(c)  3x+5y=220, x=0, y=0 
(d)  5x+2y=220, x=0, y=0 
12.  What must be added to each term of the ratio 49:68. So that it becomes 3:4 ?  
(a)  3 
(b)  5 
(c)  8 
(d)  9 
13.  Find future value of annuity of ` 1000 made annualy for seven yeras at interest rate 16% compounded 
annaualy. [Given that (1.16) 
7
= 2.8262]  
(a)  ` 11413.75 
(b)  ` 11000.35 
(c) ` 8756 
(d)  ` 9892.34 
14.  Assuming that the  discount rate is 7% is p.a . How much would you pay t o receive ` 500. Growing at 
5% annually forever?  
(a)  ` 2,500 
(b)  ` 5,000 
(c)  ` 7,500 
(d)  ` 25,000 
15.  Rajesh deposits ` 3,000 at the start of each quarter in his savings account. If the accaount earns int erest 
5.75% per annuam compounded quarterly, how much money (in `) while he have at the end of 4 y ears? 
[Given that (1.014375) 
16
= 1.25654] 
(a)  ` 54,308.6 
(b)  ` 58,553.6 
(c)  ` 68,353.6 
4 
(d)  ` 63,624.4 
16. The annual rate of simple interest is 12.5%. In how many years does princi pal doubles?  
(a)  11 years  
(b)  9 years  
(c)  8 years  
(d)  7 years  
17.  ` 5000 is paid every year for 10 years to pay off a loan. What is the loan am ount of interest rate be 14% 
p.a compounded annualy?  
(a)  ` 26,000.90 
(b)  ` 26080.55 
(c)  ` 15000.21 
(d)  ` 16,345.11 
18. ` 800 is invested at t he end of each month in account pay ing 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)  ` 4444 
(b)  ` 8766 
(c)  ` 3491 
(d)  ` 8176 
19.   Certain sum of money borrowed at simple interest to ` 2688 in three years and to ` 2784 in  four years 
at the rate per annum equal to  
(a)  4% 
(b)  6% 
(c)  5% 
(d)  7% 
20. Ravi made of an investment of ` 15,000 in a scheme and at the time of maturity th e time of maturity the 
amount was ` 25,000. If Compound Annual Growth Rate (CAGR) for this investment is 8.88% . Calculate 
the approximate number of years for which he has invested the amount.  
(a)  6 
(b)  7.7 
(c)  5.5 
(d)  7 
21. Madhu takes a loan of ` 50,000 from ABC Bank LTD.The rate of interest is 10% per annum. The first 
instalmennt will be paid  at the end of five year. Determine the amount (in `) of equal instalments, if 
Madhu wishes to repay the amount in five years. 
(a)  ` 19,510 
(b)  ` 19,430 
(c)  ` 19,310 
(d)  ` 16,630 
5 
22. Rajesh invests ` 20,000 per year in a stock index fund, with earns 9% per year, for the next ten 
years.What would be closest value of accumulated investment upon payment of the last installment? 
[Given: (1.09)
10
 = 2.36736]  
(a)  ` 3,88,764.968 
(b)  ` 3,03,858.564 
(c)  ` 2,68,728.484 
(d)  ` 4,08,718.364 
23. An investment is earning compounded interest ` 100 invested in the year 2 accumulated to ` 105 by 
year 4. If ` 500 invested in the year 5, will become ` _____by year 10. 
(a)  ` 364.80 
(b)  ` 564.80 
(c)  ` 464.80 
(d)  ` 664.80 
24. An investor is saving to pay off an obligation of ` 15,250 which will due in seven years, if the investor is 
earning 7.5% simple interest rate per annum , he must deposit ` _____ to meet the obligation. 
(a)  ` 8,000 
(b)  ` 9,000 
(c)  ` 10,000 
(d)  ` 11,000 
25.  The value of scooter is ` 1,00,000 find its depreciation is 10% p.a. Calculte total depreciation value at 
the end of seven years.  
(a)  ` 47829.70 
(b)  ` 47000.90 
(c)  ` 42709 
(d)  ` 42,000 
26. Effective rate of interest does not depend upon 
(a)  Amount of Principal 
(b)  Amount of Interest  
(c)  Number of conversion periods  
(d)  none of these  
27.  The number of traingles that can be formed by choosing the vertices fr om a set of 12 ponts, Seven of 
which lie on the same lie on the same straight line is:  
(a)  185 
(b)  175 
(c)  115 
(d)  105 
28. Five bulbs of which three are defective are to be tired in two light -points in a dark-room. In how many 
trails the room shall be lightened ?  
(a)  10