Mock Test: Business Mathematics, Logical Reasoning and Statistics(Paper-3) - Series-II(May 2022) | Business and Commercial Knowledge (Old Scheme) - CA Foundation PDF Download

 Page 1


1 
MOCK TEST PAPER II 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours                          Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1.  If x: y = 2:3, then (5x+2y): (3x-y) =  
(a)  19: 3 
(b)  16:3 
(c)  7:2 
(d)  7:3  
2. If (25)
150 
=(25x)
50
, then the value of x will be:  
(a)  5
3 
(b)  5
4 
(c)  5
2 
(d)  5 
3. The value of 
2 2 2 2 2 2
+ + + + + +
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
a ab b b bc c c ca a
a b c
b c a
y y y
y y y
 is equal to  
(a) y 
(b)  -1 
(c)  1 
(d)  None of these  
4. If x = log 12,y = log 24, z = log 36 then xyz +1= 
24 36 48
 
(a)  2xy  
(b)  2xz 
(c)  2yz 
(d)  2 
5. A person has asset worth of ` 1,48,200. He wish to divide it amongst his wife, son and daughter in the 
ratio 3:2:1respectively . From this assets share of his wife son will be : 
(a)  ` 24,700 
(b)  ` 49, 400 
(c)  ` 74,100 
(d)  ` 37,050 
Page 2


1 
MOCK TEST PAPER II 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours                          Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1.  If x: y = 2:3, then (5x+2y): (3x-y) =  
(a)  19: 3 
(b)  16:3 
(c)  7:2 
(d)  7:3  
2. If (25)
150 
=(25x)
50
, then the value of x will be:  
(a)  5
3 
(b)  5
4 
(c)  5
2 
(d)  5 
3. The value of 
2 2 2 2 2 2
+ + + + + +
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
a ab b b bc c c ca a
a b c
b c a
y y y
y y y
 is equal to  
(a) y 
(b)  -1 
(c)  1 
(d)  None of these  
4. If x = log 12,y = log 24, z = log 36 then xyz +1= 
24 36 48
 
(a)  2xy  
(b)  2xz 
(c)  2yz 
(d)  2 
5. A person has asset worth of ` 1,48,200. He wish to divide it amongst his wife, son and daughter in the 
ratio 3:2:1respectively . From this assets share of his wife son will be : 
(a)  ` 24,700 
(b)  ` 49, 400 
(c)  ` 74,100 
(d)  ` 37,050 
2 
6. X, Y, Z together starts a business, if X invests 3 times as much as Y invests and Y invests two third of 
what Z invests, then the ratio of capitals of X,Y, Z is 
(a)  3:9:2 
(b)  6:3:2 
(c) 3:6:2 
(d)  6:2:3 
7. If the ratio of the roots of the equation 4x
2
-6x+p=0 is 1:2 then the value of p is:  
(a)  1 
(b)  2 
(c)  -2 
(d) -1 
8. If roots of equation x
2
+x+r= 0 are a and ß and ?
3
+ß
3
= -6. Find the value of ‘r’  
(a)  -5/3 
(b)  7/3 
(c)  -4/3 
(d) 1 
9. If 2
x+y 
= 2
2x+y 
= v8 then the respective values of x and y are ___ 
(a)  1, ½ 
(b)  ½, 1 
(c)  ½, ½ 
(d)  None of these 
10. If a
2
+ b
2 
= 45 and ab = 18, the 
11
+
ab
  is: 
(a) ± 1/3 
(b) ±2/3 
(c) ±1/2  
(d)  None of these 
11.  The common region represented by the following in qualities  
L 1:x 1+x 2< 4: L 2: 2x 1-x 2>6  
 
Page 3


1 
MOCK TEST PAPER II 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours                          Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1.  If x: y = 2:3, then (5x+2y): (3x-y) =  
(a)  19: 3 
(b)  16:3 
(c)  7:2 
(d)  7:3  
2. If (25)
150 
=(25x)
50
, then the value of x will be:  
(a)  5
3 
(b)  5
4 
(c)  5
2 
(d)  5 
3. The value of 
2 2 2 2 2 2
+ + + + + +
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
a ab b b bc c c ca a
a b c
b c a
y y y
y y y
 is equal to  
(a) y 
(b)  -1 
(c)  1 
(d)  None of these  
4. If x = log 12,y = log 24, z = log 36 then xyz +1= 
24 36 48
 
(a)  2xy  
(b)  2xz 
(c)  2yz 
(d)  2 
5. A person has asset worth of ` 1,48,200. He wish to divide it amongst his wife, son and daughter in the 
ratio 3:2:1respectively . From this assets share of his wife son will be : 
(a)  ` 24,700 
(b)  ` 49, 400 
(c)  ` 74,100 
(d)  ` 37,050 
2 
6. X, Y, Z together starts a business, if X invests 3 times as much as Y invests and Y invests two third of 
what Z invests, then the ratio of capitals of X,Y, Z is 
(a)  3:9:2 
(b)  6:3:2 
(c) 3:6:2 
(d)  6:2:3 
7. If the ratio of the roots of the equation 4x
2
-6x+p=0 is 1:2 then the value of p is:  
(a)  1 
(b)  2 
(c)  -2 
(d) -1 
8. If roots of equation x
2
+x+r= 0 are a and ß and ?
3
+ß
3
= -6. Find the value of ‘r’  
(a)  -5/3 
(b)  7/3 
(c)  -4/3 
(d) 1 
9. If 2
x+y 
= 2
2x+y 
= v8 then the respective values of x and y are ___ 
(a)  1, ½ 
(b)  ½, 1 
(c)  ½, ½ 
(d)  None of these 
10. If a
2
+ b
2 
= 45 and ab = 18, the 
11
+
ab
  is: 
(a) ± 1/3 
(b) ±2/3 
(c) ±1/2  
(d)  None of these 
11.  The common region represented by the following in qualities  
L 1:x 1+x 2< 4: L 2: 2x 1-x 2>6  
 
3 
(a)  OABC 
(b)  outside of OAB  
(c)  ? BCE  
(d)  ? ABE  
12. An employer recruits experienced (x) and fresh workmen(y) for his under the condition that he can not 
employ more than 11 people and y can be related by the inequality. 
(a)  x+y ?11 
(b)  x+y = 11, x=0, y=0 
(c)  x+y = 11, x=0, y=0 
(d)  none of these  
13. 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) 
14.  Find the effective rate of interest if an amount of 30,000 deposited in a bank. For 1 year at the rate of 
10% per annum compounded semi-annually. 
(a)  10.05% 
(b)  10.10% 
(c)  10.20% 
(d)  10.25% 
15.  The present population of a town is 25,000. If it grows at the rate of 4%, 5%, 8% during 1
st
 year, 2
nd
 
year, 3
rd
 year respectively. Then find the population after 3 years. 
(a)  29,484 
(b)  29,844 
(c)  29,448 
(d)  28,944 
16.  The present value of a scooter is ` 7290. The rate of depreciation is 10%. What was its value 3 years 
ago? 
(a)  10000 
(b)  10010 
(c)  9990 
(d)  12000 
17. The rate of interest for the first 2 year is 3% per annum, for next 3 years is 8% per annum and for the 
period beyond 5 years, 10% per annum. If a man gets ` 1520 as a simple interest for 6 years; how much 
money did he deposit?   
(a) ` 3800 
Page 4


1 
MOCK TEST PAPER II 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours                          Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1.  If x: y = 2:3, then (5x+2y): (3x-y) =  
(a)  19: 3 
(b)  16:3 
(c)  7:2 
(d)  7:3  
2. If (25)
150 
=(25x)
50
, then the value of x will be:  
(a)  5
3 
(b)  5
4 
(c)  5
2 
(d)  5 
3. The value of 
2 2 2 2 2 2
+ + + + + +
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
a ab b b bc c c ca a
a b c
b c a
y y y
y y y
 is equal to  
(a) y 
(b)  -1 
(c)  1 
(d)  None of these  
4. If x = log 12,y = log 24, z = log 36 then xyz +1= 
24 36 48
 
(a)  2xy  
(b)  2xz 
(c)  2yz 
(d)  2 
5. A person has asset worth of ` 1,48,200. He wish to divide it amongst his wife, son and daughter in the 
ratio 3:2:1respectively . From this assets share of his wife son will be : 
(a)  ` 24,700 
(b)  ` 49, 400 
(c)  ` 74,100 
(d)  ` 37,050 
2 
6. X, Y, Z together starts a business, if X invests 3 times as much as Y invests and Y invests two third of 
what Z invests, then the ratio of capitals of X,Y, Z is 
(a)  3:9:2 
(b)  6:3:2 
(c) 3:6:2 
(d)  6:2:3 
7. If the ratio of the roots of the equation 4x
2
-6x+p=0 is 1:2 then the value of p is:  
(a)  1 
(b)  2 
(c)  -2 
(d) -1 
8. If roots of equation x
2
+x+r= 0 are a and ß and ?
3
+ß
3
= -6. Find the value of ‘r’  
(a)  -5/3 
(b)  7/3 
(c)  -4/3 
(d) 1 
9. If 2
x+y 
= 2
2x+y 
= v8 then the respective values of x and y are ___ 
(a)  1, ½ 
(b)  ½, 1 
(c)  ½, ½ 
(d)  None of these 
10. If a
2
+ b
2 
= 45 and ab = 18, the 
11
+
ab
  is: 
(a) ± 1/3 
(b) ±2/3 
(c) ±1/2  
(d)  None of these 
11.  The common region represented by the following in qualities  
L 1:x 1+x 2< 4: L 2: 2x 1-x 2>6  
 
3 
(a)  OABC 
(b)  outside of OAB  
(c)  ? BCE  
(d)  ? ABE  
12. An employer recruits experienced (x) and fresh workmen(y) for his under the condition that he can not 
employ more than 11 people and y can be related by the inequality. 
(a)  x+y ?11 
(b)  x+y = 11, x=0, y=0 
(c)  x+y = 11, x=0, y=0 
(d)  none of these  
13. 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) 
14.  Find the effective rate of interest if an amount of 30,000 deposited in a bank. For 1 year at the rate of 
10% per annum compounded semi-annually. 
(a)  10.05% 
(b)  10.10% 
(c)  10.20% 
(d)  10.25% 
15.  The present population of a town is 25,000. If it grows at the rate of 4%, 5%, 8% during 1
st
 year, 2
nd
 
year, 3
rd
 year respectively. Then find the population after 3 years. 
(a)  29,484 
(b)  29,844 
(c)  29,448 
(d)  28,944 
16.  The present value of a scooter is ` 7290. The rate of depreciation is 10%. What was its value 3 years 
ago? 
(a)  10000 
(b)  10010 
(c)  9990 
(d)  12000 
17. The rate of interest for the first 2 year is 3% per annum, for next 3 years is 8% per annum and for the 
period beyond 5 years, 10% per annum. If a man gets ` 1520 as a simple interest for 6 years; how much 
money did he deposit?   
(a) ` 3800 
4 
(b) ` 3000 
(c)  ` 4000 
(d) None of these 
18.  Suppose your parent decides to open a PPF account in a bank towards your name with ` 10,000 every 
year staring from today for next 15 years. When you receive and get 8.5% per annum interest rate 
compounded annually. What is the present value of this annuity? 
(a)  83,042 
(b)  80,900 
(c)  90,100 
(d)  None of these 
19.  In what rate % per annum will ` 1,000 amounts to ` 1331 in 3 years? The interest is compounded yearly 
is: 
(a) 10% 
(b) 12% 
(c) 11% 
(d) None of these 
20.  The difference between simple interest and compound interest on a certain for 2 years at 10% p.a . is  
` 10. Find the Sum 
(a)  ` 1010 
(b)  ` 1095 
(c)  ` 1000 
(d)  ` 990 
21. The future value of an annuity of ` 5,000 is made annually for 8 years at interest rate of 9% compounded 
annually [ Given that (1.09) =1.99256] is  
(a)  ` 55,142.22 
(b)  ` 65,142.22 
(c)  ` 65,532.22 
(d)  ` 57,425.22 
22. In how many years will a sum of money becomes four times at 12% p.a. simple interest? 
(a)  18 years  
(b)  21 years 
(c)  25 years  
(d)  28 years  
23. The effective rate of interest does not depend upon  
(a)  Amount of Principal  
(b)  Amount of Interest  
(c)  Number of Conversion periods  
Page 5


1 
MOCK TEST PAPER II 
FOUNDATION COURSE 
PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS 
Time: 2 Hours                          Marks: 100 
Part A: Business Mathematics and Logical Reasoning 
1.  If x: y = 2:3, then (5x+2y): (3x-y) =  
(a)  19: 3 
(b)  16:3 
(c)  7:2 
(d)  7:3  
2. If (25)
150 
=(25x)
50
, then the value of x will be:  
(a)  5
3 
(b)  5
4 
(c)  5
2 
(d)  5 
3. The value of 
2 2 2 2 2 2
+ + + + + +
? ? ? ? ? ?
??
? ? ? ? ? ?
? ? ? ? ? ?
a ab b b bc c c ca a
a b c
b c a
y y y
y y y
 is equal to  
(a) y 
(b)  -1 
(c)  1 
(d)  None of these  
4. If x = log 12,y = log 24, z = log 36 then xyz +1= 
24 36 48
 
(a)  2xy  
(b)  2xz 
(c)  2yz 
(d)  2 
5. A person has asset worth of ` 1,48,200. He wish to divide it amongst his wife, son and daughter in the 
ratio 3:2:1respectively . From this assets share of his wife son will be : 
(a)  ` 24,700 
(b)  ` 49, 400 
(c)  ` 74,100 
(d)  ` 37,050 
2 
6. X, Y, Z together starts a business, if X invests 3 times as much as Y invests and Y invests two third of 
what Z invests, then the ratio of capitals of X,Y, Z is 
(a)  3:9:2 
(b)  6:3:2 
(c) 3:6:2 
(d)  6:2:3 
7. If the ratio of the roots of the equation 4x
2
-6x+p=0 is 1:2 then the value of p is:  
(a)  1 
(b)  2 
(c)  -2 
(d) -1 
8. If roots of equation x
2
+x+r= 0 are a and ß and ?
3
+ß
3
= -6. Find the value of ‘r’  
(a)  -5/3 
(b)  7/3 
(c)  -4/3 
(d) 1 
9. If 2
x+y 
= 2
2x+y 
= v8 then the respective values of x and y are ___ 
(a)  1, ½ 
(b)  ½, 1 
(c)  ½, ½ 
(d)  None of these 
10. If a
2
+ b
2 
= 45 and ab = 18, the 
11
+
ab
  is: 
(a) ± 1/3 
(b) ±2/3 
(c) ±1/2  
(d)  None of these 
11.  The common region represented by the following in qualities  
L 1:x 1+x 2< 4: L 2: 2x 1-x 2>6  
 
3 
(a)  OABC 
(b)  outside of OAB  
(c)  ? BCE  
(d)  ? ABE  
12. An employer recruits experienced (x) and fresh workmen(y) for his under the condition that he can not 
employ more than 11 people and y can be related by the inequality. 
(a)  x+y ?11 
(b)  x+y = 11, x=0, y=0 
(c)  x+y = 11, x=0, y=0 
(d)  none of these  
13. 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) 
14.  Find the effective rate of interest if an amount of 30,000 deposited in a bank. For 1 year at the rate of 
10% per annum compounded semi-annually. 
(a)  10.05% 
(b)  10.10% 
(c)  10.20% 
(d)  10.25% 
15.  The present population of a town is 25,000. If it grows at the rate of 4%, 5%, 8% during 1
st
 year, 2
nd
 
year, 3
rd
 year respectively. Then find the population after 3 years. 
(a)  29,484 
(b)  29,844 
(c)  29,448 
(d)  28,944 
16.  The present value of a scooter is ` 7290. The rate of depreciation is 10%. What was its value 3 years 
ago? 
(a)  10000 
(b)  10010 
(c)  9990 
(d)  12000 
17. The rate of interest for the first 2 year is 3% per annum, for next 3 years is 8% per annum and for the 
period beyond 5 years, 10% per annum. If a man gets ` 1520 as a simple interest for 6 years; how much 
money did he deposit?   
(a) ` 3800 
4 
(b) ` 3000 
(c)  ` 4000 
(d) None of these 
18.  Suppose your parent decides to open a PPF account in a bank towards your name with ` 10,000 every 
year staring from today for next 15 years. When you receive and get 8.5% per annum interest rate 
compounded annually. What is the present value of this annuity? 
(a)  83,042 
(b)  80,900 
(c)  90,100 
(d)  None of these 
19.  In what rate % per annum will ` 1,000 amounts to ` 1331 in 3 years? The interest is compounded yearly 
is: 
(a) 10% 
(b) 12% 
(c) 11% 
(d) None of these 
20.  The difference between simple interest and compound interest on a certain for 2 years at 10% p.a . is  
` 10. Find the Sum 
(a)  ` 1010 
(b)  ` 1095 
(c)  ` 1000 
(d)  ` 990 
21. The future value of an annuity of ` 5,000 is made annually for 8 years at interest rate of 9% compounded 
annually [ Given that (1.09) =1.99256] is  
(a)  ` 55,142.22 
(b)  ` 65,142.22 
(c)  ` 65,532.22 
(d)  ` 57,425.22 
22. In how many years will a sum of money becomes four times at 12% p.a. simple interest? 
(a)  18 years  
(b)  21 years 
(c)  25 years  
(d)  28 years  
23. The effective rate of interest does not depend upon  
(a)  Amount of Principal  
(b)  Amount of Interest  
(c)  Number of Conversion periods  
5 
(d)  None of these  
24.  Find the effective rate of interest at 10% p.a. When interest is payable quarterly. 
(a)  10.38%  
(b)  5% 
(c)  5.04% 
(d)  4% 
25.  In simple interest if the principle is ` 2,000 and the rate and time are roots of the equation  
x
2
-11x+30 = 0 
(a)  ` 500 
(b)  ` 600 
(c)  ` 700 
(d)  ` 800 
26. Determine the present value of perpetuity of ` 50,000 per month at the rate interest 12% per annum is  
(a)  ` 45,00,000 
(b)  ` 50,00,000 
(c)  ` 55,00,000 
(d)  ` 60,00,000 
27.  Find the number of even numbers greater than 100 that can be formed with the digits 0,1,2,3? 
(a)  10 
(b)  15 
(c)  20  
(d)  None of these 
28.  In how many ways can the letters of the word “ALEGEBRA” be arranged without changing the relative 
order of the vowels? 
(a)  82 
(b)  70 
(c)  72 
(d)  None of these 
29.  In how many ways can the letters of the word “DIRECTOR” be arranged so that the three vowels are 
never together? 
(a)  180 
(b)  18,000  
(c)  18,002  
(d)  None of these 
30.  The first and fifth term of an A.P. of 40 terms are -29 and -15 respectively. Find the sum of all positive 
terms of this A.P. 
(a)  1605