Quantitative Aptitude (Paper-3) - September 2024 | Mock Tests & Past Year Papers for CA Foundation PDF Download

 Page 1


 
 
QUESTIONS 
 
1.  If ½, 1/3 ,1/5 and 1/x are in proportion, then the value of x will be - 
(a)  15/2 
(b)  6/5 
(c)  10/3  
(d)  5/6 
2.  If p = x
1/3
+ x 
-1/3
, 
 
then find value of 3p
3
 – 9p 
(a)  3 
(b)  ½(x+1/x) 
(c)  (x+1/x)) 
(d) 2((x+1/x)) 
3.  If a and ß are the roots of the equation x
2
 + 7x + 12 = 0, then the equation 
whose roots (a + ß)
2
 and (a - ß)
2
 will be: 
(a)  x
2
 – 14x + 49 = 0 
(b)  x
2
 – 24x + 144 = 0 
(c)  x
2
 – 50x + 49 = 0 
(d)  x
2
 – 19x + 144 = 0 
 
PAPER – 3: 
QUANTITATIVE APTITUDE 
Page 2


 
 
QUESTIONS 
 
1.  If ½, 1/3 ,1/5 and 1/x are in proportion, then the value of x will be - 
(a)  15/2 
(b)  6/5 
(c)  10/3  
(d)  5/6 
2.  If p = x
1/3
+ x 
-1/3
, 
 
then find value of 3p
3
 – 9p 
(a)  3 
(b)  ½(x+1/x) 
(c)  (x+1/x)) 
(d) 2((x+1/x)) 
3.  If a and ß are the roots of the equation x
2
 + 7x + 12 = 0, then the equation 
whose roots (a + ß)
2
 and (a - ß)
2
 will be: 
(a)  x
2
 – 14x + 49 = 0 
(b)  x
2
 – 24x + 144 = 0 
(c)  x
2
 – 50x + 49 = 0 
(d)  x
2
 – 19x + 144 = 0 
 
PAPER – 3: 
QUANTITATIVE APTITUDE 
 
FOUNDATION EXAMINATION 
 
 
2 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
4.  The rules and regulations demand that the employer should employ not 
more than 5 experienced hands to 1 fresh one and this fact is represented 
by (Taking experienced person as x and fresh person as y) - 
(a)  
5
x
y =  
(b)  5y < x 
(c)  5x > y 
(d)  none of these 
5.  The number of ways of arranging 6 boys and 4 girls in a row so that all 4 
girls are together is  
(a)  6!. 4! 
(b)  2 (7! 4!) 
(c)  7! 4! 
(d)  2. (6! 4!) 
6.. What will be the population after 3 years. When the population increases at 
the rate 3 % in I year, 4 % in II year and 5% in III year. If the beginning of 
the population was 25,000?  
(a)  28,119 
(b)  29,118 
(c)  27,000 
(c)  30,000 
7. If ` 10,000 is invested at 8 % per annum, then compounded quarterly. Then 
value of investment after 2 years is 
(a)  ` 11,716.59 
(b)  ` 10,716.59 
(c)  ` 12,715.59 
(d)  none of these 
Page 3


 
 
QUESTIONS 
 
1.  If ½, 1/3 ,1/5 and 1/x are in proportion, then the value of x will be - 
(a)  15/2 
(b)  6/5 
(c)  10/3  
(d)  5/6 
2.  If p = x
1/3
+ x 
-1/3
, 
 
then find value of 3p
3
 – 9p 
(a)  3 
(b)  ½(x+1/x) 
(c)  (x+1/x)) 
(d) 2((x+1/x)) 
3.  If a and ß are the roots of the equation x
2
 + 7x + 12 = 0, then the equation 
whose roots (a + ß)
2
 and (a - ß)
2
 will be: 
(a)  x
2
 – 14x + 49 = 0 
(b)  x
2
 – 24x + 144 = 0 
(c)  x
2
 – 50x + 49 = 0 
(d)  x
2
 – 19x + 144 = 0 
 
PAPER – 3: 
QUANTITATIVE APTITUDE 
 
FOUNDATION EXAMINATION 
 
 
2 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
4.  The rules and regulations demand that the employer should employ not 
more than 5 experienced hands to 1 fresh one and this fact is represented 
by (Taking experienced person as x and fresh person as y) - 
(a)  
5
x
y =  
(b)  5y < x 
(c)  5x > y 
(d)  none of these 
5.  The number of ways of arranging 6 boys and 4 girls in a row so that all 4 
girls are together is  
(a)  6!. 4! 
(b)  2 (7! 4!) 
(c)  7! 4! 
(d)  2. (6! 4!) 
6.. What will be the population after 3 years. When the population increases at 
the rate 3 % in I year, 4 % in II year and 5% in III year. If the beginning of 
the population was 25,000?  
(a)  28,119 
(b)  29,118 
(c)  27,000 
(c)  30,000 
7. If ` 10,000 is invested at 8 % per annum, then compounded quarterly. Then 
value of investment after 2 years is 
(a)  ` 11,716.59 
(b)  ` 10,716.59 
(c)  ` 12,715.59 
(d)  none of these 
 
QUANTITATIVE APTITUDE 
 
 
3 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
8. In how many years will a sum of money become double at 5% p.a . 
compound interest: 
(a)  14 years 
(b)  15 years 
(c)  16 years 
(d)  14.3 years 
9.. The future value of an annuity of ` 1,000 is made annually for 5 years at 
interest rate of 14% compounded annually [Given that (1.14)
5
 = 1.92541] is 
_______ 
(a)  ` 5610 
(b)  ` 6610 
(c)  ` 6160 
(d)  ` 5160 
10.  If f(x) = x+2, g(x) = 7
x
, then gof(x) = ____ 
(a)  7
x
.x+2.7
x
 
(b)  7
x-2
 
(c)  49(7
x
) 
(d)  none of these 
11. Given x = 2t + 5; y = t
2
-2, then 
dy
dx
  is calculated as - 
(a)  t 
(b)  1/t 
(c)  -1/t 
(d)  none of these 
12.  If Z = 52 and ACT = 48, then BAT will be equal to - 
(a)  39 
(b)  41 
Page 4


 
 
QUESTIONS 
 
1.  If ½, 1/3 ,1/5 and 1/x are in proportion, then the value of x will be - 
(a)  15/2 
(b)  6/5 
(c)  10/3  
(d)  5/6 
2.  If p = x
1/3
+ x 
-1/3
, 
 
then find value of 3p
3
 – 9p 
(a)  3 
(b)  ½(x+1/x) 
(c)  (x+1/x)) 
(d) 2((x+1/x)) 
3.  If a and ß are the roots of the equation x
2
 + 7x + 12 = 0, then the equation 
whose roots (a + ß)
2
 and (a - ß)
2
 will be: 
(a)  x
2
 – 14x + 49 = 0 
(b)  x
2
 – 24x + 144 = 0 
(c)  x
2
 – 50x + 49 = 0 
(d)  x
2
 – 19x + 144 = 0 
 
PAPER – 3: 
QUANTITATIVE APTITUDE 
 
FOUNDATION EXAMINATION 
 
 
2 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
4.  The rules and regulations demand that the employer should employ not 
more than 5 experienced hands to 1 fresh one and this fact is represented 
by (Taking experienced person as x and fresh person as y) - 
(a)  
5
x
y =  
(b)  5y < x 
(c)  5x > y 
(d)  none of these 
5.  The number of ways of arranging 6 boys and 4 girls in a row so that all 4 
girls are together is  
(a)  6!. 4! 
(b)  2 (7! 4!) 
(c)  7! 4! 
(d)  2. (6! 4!) 
6.. What will be the population after 3 years. When the population increases at 
the rate 3 % in I year, 4 % in II year and 5% in III year. If the beginning of 
the population was 25,000?  
(a)  28,119 
(b)  29,118 
(c)  27,000 
(c)  30,000 
7. If ` 10,000 is invested at 8 % per annum, then compounded quarterly. Then 
value of investment after 2 years is 
(a)  ` 11,716.59 
(b)  ` 10,716.59 
(c)  ` 12,715.59 
(d)  none of these 
 
QUANTITATIVE APTITUDE 
 
 
3 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
8. In how many years will a sum of money become double at 5% p.a . 
compound interest: 
(a)  14 years 
(b)  15 years 
(c)  16 years 
(d)  14.3 years 
9.. The future value of an annuity of ` 1,000 is made annually for 5 years at 
interest rate of 14% compounded annually [Given that (1.14)
5
 = 1.92541] is 
_______ 
(a)  ` 5610 
(b)  ` 6610 
(c)  ` 6160 
(d)  ` 5160 
10.  If f(x) = x+2, g(x) = 7
x
, then gof(x) = ____ 
(a)  7
x
.x+2.7
x
 
(b)  7
x-2
 
(c)  49(7
x
) 
(d)  none of these 
11. Given x = 2t + 5; y = t
2
-2, then 
dy
dx
  is calculated as - 
(a)  t 
(b)  1/t 
(c)  -1/t 
(d)  none of these 
12.  If Z = 52 and ACT = 48, then BAT will be equal to - 
(a)  39 
(b)  41 
 
FOUNDATION EXAMINATION 
 
 
4 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
(c)  44 
(d)  46 
13.  If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded 
as 961473, what will be the code for SEARCH? 
(a)  246173 
(b)  214673 
(c)  214763 
(d)  216473 
14.  Find the missing term in each of the following series: 28, 33,31,36, 34? 
(a)  48 
(b)   39 
(c)  54 
(d)  62 
15.. Raju leaves his house and walks 12 km towards North. He turns right and 
walks another 12 km. He turns right, walks 12 km more and turns left to 
walk 5 km. How far is he from his home and in which direction?  
(a)  7 km east  
(b)  10 km east  
(c)  17 km east  
(d)  24 km east 
16.  For a symmetric distribution: 
(a) Mean = Median = Mode 
(b) Mode = 3 Median – 2 Mean 
(c) Mode = 1/3 Median = 1/2 Mean 
(d) None 
17.  Sanjay has three daughters, and each daughter has a brother. How many 
male members are there in the family?  
Page 5


 
 
QUESTIONS 
 
1.  If ½, 1/3 ,1/5 and 1/x are in proportion, then the value of x will be - 
(a)  15/2 
(b)  6/5 
(c)  10/3  
(d)  5/6 
2.  If p = x
1/3
+ x 
-1/3
, 
 
then find value of 3p
3
 – 9p 
(a)  3 
(b)  ½(x+1/x) 
(c)  (x+1/x)) 
(d) 2((x+1/x)) 
3.  If a and ß are the roots of the equation x
2
 + 7x + 12 = 0, then the equation 
whose roots (a + ß)
2
 and (a - ß)
2
 will be: 
(a)  x
2
 – 14x + 49 = 0 
(b)  x
2
 – 24x + 144 = 0 
(c)  x
2
 – 50x + 49 = 0 
(d)  x
2
 – 19x + 144 = 0 
 
PAPER – 3: 
QUANTITATIVE APTITUDE 
 
FOUNDATION EXAMINATION 
 
 
2 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
4.  The rules and regulations demand that the employer should employ not 
more than 5 experienced hands to 1 fresh one and this fact is represented 
by (Taking experienced person as x and fresh person as y) - 
(a)  
5
x
y =  
(b)  5y < x 
(c)  5x > y 
(d)  none of these 
5.  The number of ways of arranging 6 boys and 4 girls in a row so that all 4 
girls are together is  
(a)  6!. 4! 
(b)  2 (7! 4!) 
(c)  7! 4! 
(d)  2. (6! 4!) 
6.. What will be the population after 3 years. When the population increases at 
the rate 3 % in I year, 4 % in II year and 5% in III year. If the beginning of 
the population was 25,000?  
(a)  28,119 
(b)  29,118 
(c)  27,000 
(c)  30,000 
7. If ` 10,000 is invested at 8 % per annum, then compounded quarterly. Then 
value of investment after 2 years is 
(a)  ` 11,716.59 
(b)  ` 10,716.59 
(c)  ` 12,715.59 
(d)  none of these 
 
QUANTITATIVE APTITUDE 
 
 
3 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
8. In how many years will a sum of money become double at 5% p.a . 
compound interest: 
(a)  14 years 
(b)  15 years 
(c)  16 years 
(d)  14.3 years 
9.. The future value of an annuity of ` 1,000 is made annually for 5 years at 
interest rate of 14% compounded annually [Given that (1.14)
5
 = 1.92541] is 
_______ 
(a)  ` 5610 
(b)  ` 6610 
(c)  ` 6160 
(d)  ` 5160 
10.  If f(x) = x+2, g(x) = 7
x
, then gof(x) = ____ 
(a)  7
x
.x+2.7
x
 
(b)  7
x-2
 
(c)  49(7
x
) 
(d)  none of these 
11. Given x = 2t + 5; y = t
2
-2, then 
dy
dx
  is calculated as - 
(a)  t 
(b)  1/t 
(c)  -1/t 
(d)  none of these 
12.  If Z = 52 and ACT = 48, then BAT will be equal to - 
(a)  39 
(b)  41 
 
FOUNDATION EXAMINATION 
 
 
4 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
(c)  44 
(d)  46 
13.  If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded 
as 961473, what will be the code for SEARCH? 
(a)  246173 
(b)  214673 
(c)  214763 
(d)  216473 
14.  Find the missing term in each of the following series: 28, 33,31,36, 34? 
(a)  48 
(b)   39 
(c)  54 
(d)  62 
15.. Raju leaves his house and walks 12 km towards North. He turns right and 
walks another 12 km. He turns right, walks 12 km more and turns left to 
walk 5 km. How far is he from his home and in which direction?  
(a)  7 km east  
(b)  10 km east  
(c)  17 km east  
(d)  24 km east 
16.  For a symmetric distribution: 
(a) Mean = Median = Mode 
(b) Mode = 3 Median – 2 Mean 
(c) Mode = 1/3 Median = 1/2 Mean 
(d) None 
17.  Sanjay has three daughters, and each daughter has a brother. How many 
male members are there in the family?  
 
QUANTITATIVE APTITUDE 
 
 
5 
 
SEPTEMBER 2024 EXAMINATION 
 
REVISION TEST PAPER 
(a)  4 
(b)  2  
(c)  3 
(d)  1 
18.  Median of a distribution can be obtained from - 
(a)  Frequency polygon 
(b)  Histogram 
(c)  ogives  
(d)  None of these. 
19. Cost of sugar in a month under the heads raw Materials, labour, direct 
production and others were 12, 20, 35 and 23 units respectively. What is 
the difference between the central angles for the largest and smallest 
components of the cost of sugar? 
(a)  72
o
 
(b)  48
o
 
(c)  56
o
 
(d)  92
o
 
20. For open-end classification, which of the following is the best measure 
of central tendency? 
(a) AM 
(b)  GM 
(c) Median 
(d) Mode 
21. The quartiles of a variable are 45, 52 and 65 respectively. Its quartile 
deviation is - 
(a)  10 
(b)  20 
(c)  25