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
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