Quantitative Aptitude Model Test Paper - 9 (Qestions) | Mock Tests & Past Year Papers for CA Foundation PDF Download

 Page 1


MODEL TEST PAPER 9 
FOUNDATION COURSE 
PAPER 3: QUNTITATIVE APTITUDE 
Time: 2 Hours       Marks: 100 
 
1. The ratio of income of A and B is 5: 4 and their expenditure is 3: 2. If at the 
end of year each saves 1,600, then the income of A is: 
(a) ? 3,400 
(b) ? 3,600 
(c) ? 4,000 
(d) ? 4,400 
2. The mean proportional between 12x² and 27 y
2
 is: 
(a)  18xy 
(b)  81xy 
(c)  8xy 
(d)  19.5xy 
3. log2 log2 log4 256 + 2 log 
2
 2 is equal to: 
(a) 2 
(b) 3 
(c) 5 
(d) 7 
4. 
+ - +-
×
+-
? ? ? ? ? ?
×=
? ? ? ? ? ?
? ? ? ? ??
? ? ? ? ? ?
(c a b) (a b c)
b ca
c ab
(b c a)
x x x
?
x xx
 What is the value of   
(a) x
(abc) 
(b) x
(a+b+c) 
(c) -1 
(d) 1 
5.  A number consists of two digits. The digits in the ten's place is 3 times the 
digit in the unit's place. If 54 is subtracted from the number, then the digits are 
reversed. The number is; 
(a) 39 
(b) 62 
(c) 93 
(d) 31 
277
Page 2


MODEL TEST PAPER 9 
FOUNDATION COURSE 
PAPER 3: QUNTITATIVE APTITUDE 
Time: 2 Hours       Marks: 100 
 
1. The ratio of income of A and B is 5: 4 and their expenditure is 3: 2. If at the 
end of year each saves 1,600, then the income of A is: 
(a) ? 3,400 
(b) ? 3,600 
(c) ? 4,000 
(d) ? 4,400 
2. The mean proportional between 12x² and 27 y
2
 is: 
(a)  18xy 
(b)  81xy 
(c)  8xy 
(d)  19.5xy 
3. log2 log2 log4 256 + 2 log 
2
 2 is equal to: 
(a) 2 
(b) 3 
(c) 5 
(d) 7 
4. 
+ - +-
×
+-
? ? ? ? ? ?
×=
? ? ? ? ? ?
? ? ? ? ??
? ? ? ? ? ?
(c a b) (a b c)
b ca
c ab
(b c a)
x x x
?
x xx
 What is the value of   
(a) x
(abc) 
(b) x
(a+b+c) 
(c) -1 
(d) 1 
5.  A number consists of two digits. The digits in the ten's place is 3 times the 
digit in the unit's place. If 54 is subtracted from the number, then the digits are 
reversed. The number is; 
(a) 39 
(b) 62 
(c) 93 
(d) 31 
277
6.  A person purchased 2 apples and 5 bananas at the cost of ` 90. Later he 
visited to another shop where shopkeeper told him that if you give me ` 50 
and one banana, I can give you 3 apples. He agreed to the deal. What is the 
cost of one apple and one banana? 
(a) (15,10) 
(b) (10, 15) 
(c) (10,20) 
(d) (20,10) 
7. If one of the root of the equation x
2
 - 3x + k = 0 is 1, then the value of 'k' is: 
(a) 2 
(b) 1 
(c) -2 
(d) -1 
8.  If one of the root of the cubic equation 3x
3
 - 5x
2
 - 11x - 3 = 0 is -1/3.  then 
other two roots are: -  
(a) 1 & 3 
(b) -1 & 3 
(c) 1 &-3 
(d) -1 &-3 
9.  The shaded area is represented by which of the following option? 
   
(a) x + y > 6 ;  2x - y > 0; x > 0  
(b) x + y < 6;  2x - y > 0 ; x < 0 
(c) x + y >6; 2 x -y < 0; x > 0 
(d) x + y > 6;  2x - y > 0; x < 0 
10. A dietician recommends mixture of two kinds of foods to a person so that 
mixture contains at least 45 units of carbs, 25 units of protein, 15 units of fat 
and 15 units of fibre. The above contents of nutrients are available in the foods 
as below: 
278
Page 3


MODEL TEST PAPER 9 
FOUNDATION COURSE 
PAPER 3: QUNTITATIVE APTITUDE 
Time: 2 Hours       Marks: 100 
 
1. The ratio of income of A and B is 5: 4 and their expenditure is 3: 2. If at the 
end of year each saves 1,600, then the income of A is: 
(a) ? 3,400 
(b) ? 3,600 
(c) ? 4,000 
(d) ? 4,400 
2. The mean proportional between 12x² and 27 y
2
 is: 
(a)  18xy 
(b)  81xy 
(c)  8xy 
(d)  19.5xy 
3. log2 log2 log4 256 + 2 log 
2
 2 is equal to: 
(a) 2 
(b) 3 
(c) 5 
(d) 7 
4. 
+ - +-
×
+-
? ? ? ? ? ?
×=
? ? ? ? ? ?
? ? ? ? ??
? ? ? ? ? ?
(c a b) (a b c)
b ca
c ab
(b c a)
x x x
?
x xx
 What is the value of   
(a) x
(abc) 
(b) x
(a+b+c) 
(c) -1 
(d) 1 
5.  A number consists of two digits. The digits in the ten's place is 3 times the 
digit in the unit's place. If 54 is subtracted from the number, then the digits are 
reversed. The number is; 
(a) 39 
(b) 62 
(c) 93 
(d) 31 
277
6.  A person purchased 2 apples and 5 bananas at the cost of ` 90. Later he 
visited to another shop where shopkeeper told him that if you give me ` 50 
and one banana, I can give you 3 apples. He agreed to the deal. What is the 
cost of one apple and one banana? 
(a) (15,10) 
(b) (10, 15) 
(c) (10,20) 
(d) (20,10) 
7. If one of the root of the equation x
2
 - 3x + k = 0 is 1, then the value of 'k' is: 
(a) 2 
(b) 1 
(c) -2 
(d) -1 
8.  If one of the root of the cubic equation 3x
3
 - 5x
2
 - 11x - 3 = 0 is -1/3.  then 
other two roots are: -  
(a) 1 & 3 
(b) -1 & 3 
(c) 1 &-3 
(d) -1 &-3 
9.  The shaded area is represented by which of the following option? 
   
(a) x + y > 6 ;  2x - y > 0; x > 0  
(b) x + y < 6;  2x - y > 0 ; x < 0 
(c) x + y >6; 2 x -y < 0; x > 0 
(d) x + y > 6;  2x - y > 0; x < 0 
10. A dietician recommends mixture of two kinds of foods to a person so that 
mixture contains at least 45 units of carbs, 25 units of protein, 15 units of fat 
and 15 units of fibre. The above contents of nutrients are available in the foods 
as below: 
278
 Carbs Protein Fat Fibre 
Food-1 20 5 3 2 
Food-2 10 2 4 5 
 If 'x' units of food-1 is mixed with 'y' units of food-2, how dietician 
recommendation can be expressed? 
(a) 20x + 10y =45 ; 5x + 2y = 25;  3x + 4y =15;  2x + 5y  =15 ; x = 0; y = 0 
(b) 20x + 10y = 25;  5x + 2y =45;  3x + 4y =15;  2x + 5y = 15;  x = 0;  y = 0 
(c) 20x + 10y =45;  5x + 2y =25;  3x + 4y =15;  2x + 5y = 15;  x = 0; y = 0 
(d) 20x + 10y =45;  5x + 2y = 25;  3x + 4y = 15;  2x + 5y =15;  x= 0;  y = 0 
11. The sum required to earn a monthly interest of ` 1,200 at 18% per annum 
simple interest is: 
(a) ?50,000 
(b) ? 60,000 
(c) ? 80,000 
(d) ? 66,000 
12. The compound interest on ? 40,000 at 12% per annum compounded quarterly 
for 6 months is: 
(a) ? 2,643 
(b) ? 2,463 
(c) ? 2,364 
(d) ? 2,436 
13. At a certain rate of interest per annum, the difference between the compound 
interest and simple interest on ? 3,00,000 for two years is ? 480, then the rate 
of interest per annum is: 
(a) 2% 
(b) 4% 
(c) 6% 
(d) 8% 
14. The value of a machine depreciates every year at the rate of 10% per annum, 
on its value at the beginning of that year. If the present value of the machine 
is ? 72,900, then machine's worth 3 years ago was: 
(a) ? 94,710 
(b) ? 80,000 
(c) ?1,00,000 
(d) ? 75,087 
279
Page 4


MODEL TEST PAPER 9 
FOUNDATION COURSE 
PAPER 3: QUNTITATIVE APTITUDE 
Time: 2 Hours       Marks: 100 
 
1. The ratio of income of A and B is 5: 4 and their expenditure is 3: 2. If at the 
end of year each saves 1,600, then the income of A is: 
(a) ? 3,400 
(b) ? 3,600 
(c) ? 4,000 
(d) ? 4,400 
2. The mean proportional between 12x² and 27 y
2
 is: 
(a)  18xy 
(b)  81xy 
(c)  8xy 
(d)  19.5xy 
3. log2 log2 log4 256 + 2 log 
2
 2 is equal to: 
(a) 2 
(b) 3 
(c) 5 
(d) 7 
4. 
+ - +-
×
+-
? ? ? ? ? ?
×=
? ? ? ? ? ?
? ? ? ? ??
? ? ? ? ? ?
(c a b) (a b c)
b ca
c ab
(b c a)
x x x
?
x xx
 What is the value of   
(a) x
(abc) 
(b) x
(a+b+c) 
(c) -1 
(d) 1 
5.  A number consists of two digits. The digits in the ten's place is 3 times the 
digit in the unit's place. If 54 is subtracted from the number, then the digits are 
reversed. The number is; 
(a) 39 
(b) 62 
(c) 93 
(d) 31 
277
6.  A person purchased 2 apples and 5 bananas at the cost of ` 90. Later he 
visited to another shop where shopkeeper told him that if you give me ` 50 
and one banana, I can give you 3 apples. He agreed to the deal. What is the 
cost of one apple and one banana? 
(a) (15,10) 
(b) (10, 15) 
(c) (10,20) 
(d) (20,10) 
7. If one of the root of the equation x
2
 - 3x + k = 0 is 1, then the value of 'k' is: 
(a) 2 
(b) 1 
(c) -2 
(d) -1 
8.  If one of the root of the cubic equation 3x
3
 - 5x
2
 - 11x - 3 = 0 is -1/3.  then 
other two roots are: -  
(a) 1 & 3 
(b) -1 & 3 
(c) 1 &-3 
(d) -1 &-3 
9.  The shaded area is represented by which of the following option? 
   
(a) x + y > 6 ;  2x - y > 0; x > 0  
(b) x + y < 6;  2x - y > 0 ; x < 0 
(c) x + y >6; 2 x -y < 0; x > 0 
(d) x + y > 6;  2x - y > 0; x < 0 
10. A dietician recommends mixture of two kinds of foods to a person so that 
mixture contains at least 45 units of carbs, 25 units of protein, 15 units of fat 
and 15 units of fibre. The above contents of nutrients are available in the foods 
as below: 
278
 Carbs Protein Fat Fibre 
Food-1 20 5 3 2 
Food-2 10 2 4 5 
 If 'x' units of food-1 is mixed with 'y' units of food-2, how dietician 
recommendation can be expressed? 
(a) 20x + 10y =45 ; 5x + 2y = 25;  3x + 4y =15;  2x + 5y  =15 ; x = 0; y = 0 
(b) 20x + 10y = 25;  5x + 2y =45;  3x + 4y =15;  2x + 5y = 15;  x = 0;  y = 0 
(c) 20x + 10y =45;  5x + 2y =25;  3x + 4y =15;  2x + 5y = 15;  x = 0; y = 0 
(d) 20x + 10y =45;  5x + 2y = 25;  3x + 4y = 15;  2x + 5y =15;  x= 0;  y = 0 
11. The sum required to earn a monthly interest of ` 1,200 at 18% per annum 
simple interest is: 
(a) ?50,000 
(b) ? 60,000 
(c) ? 80,000 
(d) ? 66,000 
12. The compound interest on ? 40,000 at 12% per annum compounded quarterly 
for 6 months is: 
(a) ? 2,643 
(b) ? 2,463 
(c) ? 2,364 
(d) ? 2,436 
13. At a certain rate of interest per annum, the difference between the compound 
interest and simple interest on ? 3,00,000 for two years is ? 480, then the rate 
of interest per annum is: 
(a) 2% 
(b) 4% 
(c) 6% 
(d) 8% 
14. The value of a machine depreciates every year at the rate of 10% per annum, 
on its value at the beginning of that year. If the present value of the machine 
is ? 72,900, then machine's worth 3 years ago was: 
(a) ? 94,710 
(b) ? 80,000 
(c) ?1,00,000 
(d) ? 75,087 
279
15.  What is the effective rate of interest when principal amount of ? 50,000 
deposited in a nationalized bank for one year, corresponding to a nominal rate 
of interest 6% per annum half yearly? 
(a) 6.06% 
(b) 6.07% 
(c) 6.08% 
(d) 6.09% 
16. Kanta wants to accumulate ? 4,91,300 in her savings account after three 
years. The rate of interest offered by bank is 
1
6
4
% per annum compounded 
annually How much amount should she invest today to achieve her target 
amount? 
(a) ? 4,09,600 
(b) ? 4,37,500 
(c) ? 46,900 
(d) ? 49,600 
17. Mr. X makes a deposit of ? 12,000 in a bank where the amount doubles at 
compound interest in 5 years, then what will be the total amount he will have 
after twenty years? 
(a) ? 96,000 
(b) ? 1,20,000 
(c)  ? 1,24,000 
(d) ? 1,92,000 
18. The Earning Per Share (EPS) of a company for five years is given below : 
Year 2019 2020 2021 2022 2023 
EPS 40 25 40 60 90 
 Calculate the Compounded Annual Growth Rate (CAGR) of EPS. 
(a) 24.47% 
(b) 23.47% 
(c) 22.47% 
(d) 21.47% 
19. In an account paying interest @ 9% per year compounded monthly, 200 is 
invested at the end of each month. What is the future value of this annuity 
after 10th  payment? {Where (1.0075)10 = 1.0775) 
(a) ? 1,022 
(b) ? 2,066 
(c) ? 2,044 
280
Page 5


MODEL TEST PAPER 9 
FOUNDATION COURSE 
PAPER 3: QUNTITATIVE APTITUDE 
Time: 2 Hours       Marks: 100 
 
1. The ratio of income of A and B is 5: 4 and their expenditure is 3: 2. If at the 
end of year each saves 1,600, then the income of A is: 
(a) ? 3,400 
(b) ? 3,600 
(c) ? 4,000 
(d) ? 4,400 
2. The mean proportional between 12x² and 27 y
2
 is: 
(a)  18xy 
(b)  81xy 
(c)  8xy 
(d)  19.5xy 
3. log2 log2 log4 256 + 2 log 
2
 2 is equal to: 
(a) 2 
(b) 3 
(c) 5 
(d) 7 
4. 
+ - +-
×
+-
? ? ? ? ? ?
×=
? ? ? ? ? ?
? ? ? ? ??
? ? ? ? ? ?
(c a b) (a b c)
b ca
c ab
(b c a)
x x x
?
x xx
 What is the value of   
(a) x
(abc) 
(b) x
(a+b+c) 
(c) -1 
(d) 1 
5.  A number consists of two digits. The digits in the ten's place is 3 times the 
digit in the unit's place. If 54 is subtracted from the number, then the digits are 
reversed. The number is; 
(a) 39 
(b) 62 
(c) 93 
(d) 31 
277
6.  A person purchased 2 apples and 5 bananas at the cost of ` 90. Later he 
visited to another shop where shopkeeper told him that if you give me ` 50 
and one banana, I can give you 3 apples. He agreed to the deal. What is the 
cost of one apple and one banana? 
(a) (15,10) 
(b) (10, 15) 
(c) (10,20) 
(d) (20,10) 
7. If one of the root of the equation x
2
 - 3x + k = 0 is 1, then the value of 'k' is: 
(a) 2 
(b) 1 
(c) -2 
(d) -1 
8.  If one of the root of the cubic equation 3x
3
 - 5x
2
 - 11x - 3 = 0 is -1/3.  then 
other two roots are: -  
(a) 1 & 3 
(b) -1 & 3 
(c) 1 &-3 
(d) -1 &-3 
9.  The shaded area is represented by which of the following option? 
   
(a) x + y > 6 ;  2x - y > 0; x > 0  
(b) x + y < 6;  2x - y > 0 ; x < 0 
(c) x + y >6; 2 x -y < 0; x > 0 
(d) x + y > 6;  2x - y > 0; x < 0 
10. A dietician recommends mixture of two kinds of foods to a person so that 
mixture contains at least 45 units of carbs, 25 units of protein, 15 units of fat 
and 15 units of fibre. The above contents of nutrients are available in the foods 
as below: 
278
 Carbs Protein Fat Fibre 
Food-1 20 5 3 2 
Food-2 10 2 4 5 
 If 'x' units of food-1 is mixed with 'y' units of food-2, how dietician 
recommendation can be expressed? 
(a) 20x + 10y =45 ; 5x + 2y = 25;  3x + 4y =15;  2x + 5y  =15 ; x = 0; y = 0 
(b) 20x + 10y = 25;  5x + 2y =45;  3x + 4y =15;  2x + 5y = 15;  x = 0;  y = 0 
(c) 20x + 10y =45;  5x + 2y =25;  3x + 4y =15;  2x + 5y = 15;  x = 0; y = 0 
(d) 20x + 10y =45;  5x + 2y = 25;  3x + 4y = 15;  2x + 5y =15;  x= 0;  y = 0 
11. The sum required to earn a monthly interest of ` 1,200 at 18% per annum 
simple interest is: 
(a) ?50,000 
(b) ? 60,000 
(c) ? 80,000 
(d) ? 66,000 
12. The compound interest on ? 40,000 at 12% per annum compounded quarterly 
for 6 months is: 
(a) ? 2,643 
(b) ? 2,463 
(c) ? 2,364 
(d) ? 2,436 
13. At a certain rate of interest per annum, the difference between the compound 
interest and simple interest on ? 3,00,000 for two years is ? 480, then the rate 
of interest per annum is: 
(a) 2% 
(b) 4% 
(c) 6% 
(d) 8% 
14. The value of a machine depreciates every year at the rate of 10% per annum, 
on its value at the beginning of that year. If the present value of the machine 
is ? 72,900, then machine's worth 3 years ago was: 
(a) ? 94,710 
(b) ? 80,000 
(c) ?1,00,000 
(d) ? 75,087 
279
15.  What is the effective rate of interest when principal amount of ? 50,000 
deposited in a nationalized bank for one year, corresponding to a nominal rate 
of interest 6% per annum half yearly? 
(a) 6.06% 
(b) 6.07% 
(c) 6.08% 
(d) 6.09% 
16. Kanta wants to accumulate ? 4,91,300 in her savings account after three 
years. The rate of interest offered by bank is 
1
6
4
% per annum compounded 
annually How much amount should she invest today to achieve her target 
amount? 
(a) ? 4,09,600 
(b) ? 4,37,500 
(c) ? 46,900 
(d) ? 49,600 
17. Mr. X makes a deposit of ? 12,000 in a bank where the amount doubles at 
compound interest in 5 years, then what will be the total amount he will have 
after twenty years? 
(a) ? 96,000 
(b) ? 1,20,000 
(c)  ? 1,24,000 
(d) ? 1,92,000 
18. The Earning Per Share (EPS) of a company for five years is given below : 
Year 2019 2020 2021 2022 2023 
EPS 40 25 40 60 90 
 Calculate the Compounded Annual Growth Rate (CAGR) of EPS. 
(a) 24.47% 
(b) 23.47% 
(c) 22.47% 
(d) 21.47% 
19. In an account paying interest @ 9% per year compounded monthly, 200 is 
invested at the end of each month. What is the future value of this annuity 
after 10th  payment? {Where (1.0075)10 = 1.0775) 
(a) ? 1,022 
(b) ? 2,066 
(c) ? 2,044 
280
(d) ? 2,155 
20. What is the present value of ? 1,000 to be received after two years 
compounded annually at 10% interest rate? 
(a) ? 800 
(b) ? 826 
(c) ? 836 
(d) ? 835 
21. What is the annual contribution required by an organization to accumulate  
? 20,00,000 in ten years for the construction of a new manufacturing plant, 
utilizing a sinking fund with an annual interest rate of 6% compounded 
annually? (Where A (10, 0.06) = 13.180785) 
(a) ? 1,51,736.03 
(b) ? 1,67,440.90 
(c) ? 1,75,433.60 
(d) ? 1,83,714.28 
22.  An investor intends to purchase a three-year ? 1,000 par value bond having 
nominal interest rate of 10%. At what price the bond may be purchased now, 
if 5 it matures at par and the investor requires a rate of return of 14%? 
(a) ? 904 
(b) ? 907.125 
(c) ? 905.25 
(d) ? 909 
23.  A loan of ? 16,550 is to be paid in three equal annual instalments at compound 
interest. The value of annual instalment, if the rate of interest is 10% per 
annum is: 
(a) ? 6,655 
(b) ? 1,243 
(c) ? 6,565 
(d) ? 1,343 
24.  A Perpetuity has a cash flow of ? 625 and a required rate of return of 8%. If 
the cash flow is expected to grow at a constant rate of 4% per year, then the 
intrinsic value of this perpetuity (present value of growing perpetuity) is: 
(a) ? 15,625 
(b) ? 13,000 
(c) ? 14,250 
(d) ? 16,667 
281