Mock Test Paper 1 Quantitative Aptitude Series I (September 2025)

 Page 1


1 
Mock Test Paper - Series I: August, 2025 
Date of Paper: 13
th
 August, 2025 
Time of Paper: 2.00 P.M. to 4.00 P.M. 
FOUNDATION COURSE 
PAPER – 3:  QUANTITATIVE APTITUDE 
Time: 2 hours  Marks: 100  
1. The triplicate ratio of 8/3 and 16/5 is 
(a)  625:216 
(b)  26:36 
(c)  225:36 
(d) 125:216 
2. if 2/5A = 3/7 B, then B:A is  
(a) 15:14 
(b) 14:15 
(c) 10:21 
(d) 6:35 
3. If (3x + 2y)/(4x - 3y) = 3/2, then find x:y 
(a) 13:6 
(b) 13:18 
(c) 15:2 
(d) 18:6 
4. The roots of the quadratic equation 9x
2
 + 3kx + k = 0 are coincident, if  
(a)  k = ± 2 
(b) k =± 3 
(c) k =± 4 
(d) k =± 5 
 
Page 2


1 
Mock Test Paper - Series I: August, 2025 
Date of Paper: 13
th
 August, 2025 
Time of Paper: 2.00 P.M. to 4.00 P.M. 
FOUNDATION COURSE 
PAPER – 3:  QUANTITATIVE APTITUDE 
Time: 2 hours  Marks: 100  
1. The triplicate ratio of 8/3 and 16/5 is 
(a)  625:216 
(b)  26:36 
(c)  225:36 
(d) 125:216 
2. if 2/5A = 3/7 B, then B:A is  
(a) 15:14 
(b) 14:15 
(c) 10:21 
(d) 6:35 
3. If (3x + 2y)/(4x - 3y) = 3/2, then find x:y 
(a) 13:6 
(b) 13:18 
(c) 15:2 
(d) 18:6 
4. The roots of the quadratic equation 9x
2
 + 3kx + k = 0 are coincident, if  
(a)  k = ± 2 
(b) k =± 3 
(c) k =± 4 
(d) k =± 5 
 
2 
5. if (x-1) is a factor of the cubic equation x
3 
- 9x
2 
+ 23x - 15 = 0, then roots of the cubic 
equation are  
(a)  1,3 and 5 
(b)  -1 and 3 and 5 
(c) 1,-3 and 5 
(d)  1,3 and -5 
6.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
7.  
1
log 3 = , find the value of a 
a
6
  
(a)  9 
(b)  81 
(c)  27 
(d)  3 
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 
Page 3


1 
Mock Test Paper - Series I: August, 2025 
Date of Paper: 13
th
 August, 2025 
Time of Paper: 2.00 P.M. to 4.00 P.M. 
FOUNDATION COURSE 
PAPER – 3:  QUANTITATIVE APTITUDE 
Time: 2 hours  Marks: 100  
1. The triplicate ratio of 8/3 and 16/5 is 
(a)  625:216 
(b)  26:36 
(c)  225:36 
(d) 125:216 
2. if 2/5A = 3/7 B, then B:A is  
(a) 15:14 
(b) 14:15 
(c) 10:21 
(d) 6:35 
3. If (3x + 2y)/(4x - 3y) = 3/2, then find x:y 
(a) 13:6 
(b) 13:18 
(c) 15:2 
(d) 18:6 
4. The roots of the quadratic equation 9x
2
 + 3kx + k = 0 are coincident, if  
(a)  k = ± 2 
(b) k =± 3 
(c) k =± 4 
(d) k =± 5 
 
2 
5. if (x-1) is a factor of the cubic equation x
3 
- 9x
2 
+ 23x - 15 = 0, then roots of the cubic 
equation are  
(a)  1,3 and 5 
(b)  -1 and 3 and 5 
(c) 1,-3 and 5 
(d)  1,3 and -5 
6.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
7.  
1
log 3 = , find the value of a 
a
6
  
(a)  9 
(b)  81 
(c)  27 
(d)  3 
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 
3 
(c)  15 
(d)  18 
10.  The sum of three numbers is 98. If the ratio of the first to second number is 2 : 3 and that 
of the second to third is 5: 8, then the second number is  
(a)  20  
(b)  30  
(c)  48  
(d)  58  
11.  On solving the inequalities 6x + y = 18, x + 4y = 12, 2x + y = 10; which of the following 
are correct solutions?  
(a)  (0, 18), (12, 0), (4, 2) and (2, 6)  
(b)  (3,0), (0, 3), (4, 2) and (7, 6)  
(c)  (5,0), (0, 10), (2, 4) and (2, 6)  
(d)  (0, 18), (12, 0), (4, 2) and (0, 7)  
12.  Side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least  
61 cm, find the minimum length of the shortest side.  
(a)  7 cm  
(b)  9 cm  
(c)  11 cm  
(d)  13 cm  
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 to receive  
` 500. Growing at 5% annually forever?  
(a)  ` 2,500 
Page 4


1 
Mock Test Paper - Series I: August, 2025 
Date of Paper: 13
th
 August, 2025 
Time of Paper: 2.00 P.M. to 4.00 P.M. 
FOUNDATION COURSE 
PAPER – 3:  QUANTITATIVE APTITUDE 
Time: 2 hours  Marks: 100  
1. The triplicate ratio of 8/3 and 16/5 is 
(a)  625:216 
(b)  26:36 
(c)  225:36 
(d) 125:216 
2. if 2/5A = 3/7 B, then B:A is  
(a) 15:14 
(b) 14:15 
(c) 10:21 
(d) 6:35 
3. If (3x + 2y)/(4x - 3y) = 3/2, then find x:y 
(a) 13:6 
(b) 13:18 
(c) 15:2 
(d) 18:6 
4. The roots of the quadratic equation 9x
2
 + 3kx + k = 0 are coincident, if  
(a)  k = ± 2 
(b) k =± 3 
(c) k =± 4 
(d) k =± 5 
 
2 
5. if (x-1) is a factor of the cubic equation x
3 
- 9x
2 
+ 23x - 15 = 0, then roots of the cubic 
equation are  
(a)  1,3 and 5 
(b)  -1 and 3 and 5 
(c) 1,-3 and 5 
(d)  1,3 and -5 
6.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
7.  
1
log 3 = , find the value of a 
a
6
  
(a)  9 
(b)  81 
(c)  27 
(d)  3 
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 
3 
(c)  15 
(d)  18 
10.  The sum of three numbers is 98. If the ratio of the first to second number is 2 : 3 and that 
of the second to third is 5: 8, then the second number is  
(a)  20  
(b)  30  
(c)  48  
(d)  58  
11.  On solving the inequalities 6x + y = 18, x + 4y = 12, 2x + y = 10; which of the following 
are correct solutions?  
(a)  (0, 18), (12, 0), (4, 2) and (2, 6)  
(b)  (3,0), (0, 3), (4, 2) and (7, 6)  
(c)  (5,0), (0, 10), (2, 4) and (2, 6)  
(d)  (0, 18), (12, 0), (4, 2) and (0, 7)  
12.  Side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least  
61 cm, find the minimum length of the shortest side.  
(a)  7 cm  
(b)  9 cm  
(c)  11 cm  
(d)  13 cm  
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 to receive  
` 500. Growing at 5% annually forever?  
(a)  ` 2,500 
4 
(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 interest 5.75% per annuam compounded quarterly, how much money  
(in `) while he have at the end of 4 years ? [ Given that (1.014375)
16 
= 1.25654] 
(a)  ` 54,308.6 
(b)  ` 58,553.6 
(c)  ` 68,353.6 
(d)  ` 63,624.4 
16. The annual rate of simple interest is 12.5%. In how many years does principal 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 amount 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 the end of each month in account paying 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 
Page 5


1 
Mock Test Paper - Series I: August, 2025 
Date of Paper: 13
th
 August, 2025 
Time of Paper: 2.00 P.M. to 4.00 P.M. 
FOUNDATION COURSE 
PAPER – 3:  QUANTITATIVE APTITUDE 
Time: 2 hours  Marks: 100  
1. The triplicate ratio of 8/3 and 16/5 is 
(a)  625:216 
(b)  26:36 
(c)  225:36 
(d) 125:216 
2. if 2/5A = 3/7 B, then B:A is  
(a) 15:14 
(b) 14:15 
(c) 10:21 
(d) 6:35 
3. If (3x + 2y)/(4x - 3y) = 3/2, then find x:y 
(a) 13:6 
(b) 13:18 
(c) 15:2 
(d) 18:6 
4. The roots of the quadratic equation 9x
2
 + 3kx + k = 0 are coincident, if  
(a)  k = ± 2 
(b) k =± 3 
(c) k =± 4 
(d) k =± 5 
 
2 
5. if (x-1) is a factor of the cubic equation x
3 
- 9x
2 
+ 23x - 15 = 0, then roots of the cubic 
equation are  
(a)  1,3 and 5 
(b)  -1 and 3 and 5 
(c) 1,-3 and 5 
(d)  1,3 and -5 
6.  
2 22
pq r
log + log + log =
qr pr pq
 
(a)  pqr 
(b)  
1
pqr
 
(c)  1 
(d)  0 
7.  
1
log 3 = , find the value of a 
a
6
  
(a)  9 
(b)  81 
(c)  27 
(d)  3 
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 
3 
(c)  15 
(d)  18 
10.  The sum of three numbers is 98. If the ratio of the first to second number is 2 : 3 and that 
of the second to third is 5: 8, then the second number is  
(a)  20  
(b)  30  
(c)  48  
(d)  58  
11.  On solving the inequalities 6x + y = 18, x + 4y = 12, 2x + y = 10; which of the following 
are correct solutions?  
(a)  (0, 18), (12, 0), (4, 2) and (2, 6)  
(b)  (3,0), (0, 3), (4, 2) and (7, 6)  
(c)  (5,0), (0, 10), (2, 4) and (2, 6)  
(d)  (0, 18), (12, 0), (4, 2) and (0, 7)  
12.  Side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least  
61 cm, find the minimum length of the shortest side.  
(a)  7 cm  
(b)  9 cm  
(c)  11 cm  
(d)  13 cm  
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 to receive  
` 500. Growing at 5% annually forever?  
(a)  ` 2,500 
4 
(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 interest 5.75% per annuam compounded quarterly, how much money  
(in `) while he have at the end of 4 years ? [ Given that (1.014375)
16 
= 1.25654] 
(a)  ` 54,308.6 
(b)  ` 58,553.6 
(c)  ` 68,353.6 
(d)  ` 63,624.4 
16. The annual rate of simple interest is 12.5%. In how many years does principal 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 amount 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 the end of each month in account paying 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 
5 
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 the 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 
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