Fundamentals of Business Mathematics Solved MCQs

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1.	Two numbers are in the ratio 5:7. If the sum of the numbers is 192, then the greater number is
A.	112
B.	102
C.	116
D.	108
Answer» A. 112

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2.	x varies inversely as y and if x = 3 then y = 4. If y = 6 then the value of x is
A.	3
B.	1
C.	2
D.	2.5
Answer» C. 2

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3.	A sum will be double itself at a simple interest p.a. in 8 years. The simple interest is
A.	10%
B.	10.5%
C.	12%
D.	12.5%
Answer» D. 12.5%

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4.	If (x – 1), (x + 1) and (2x + 3) are in A.P, then the value of x is
A.	-2
B.	0
C.	2
D.	4
Answer» B. 0

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5.	The 8th term of the series 256, 128, 64 ….. is
A.	2
B.	4
C.	8
D.	16
Answer» A. 2

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6.	If 2x – 1 + 2x + 1 = 80, then the value of x is
A.	8
B.	4
C.	20
D.	10
Answer» C. 20

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7.	If a and b be the roots of the equation 2x2 + 2x – 3 = 0 then the value of 2ab is
A.	- 6
B.	3
C.	1
D.	- 3
Answer» D. - 3

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8.	The value of 3P3 – 3C3 is
A.	0
B.	5
C.	6
D.	1
Answer» B. 5

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9.	P and Q are two non-empty sets. Given: n(P) = 12, n(Q) = 6 and n (P U Q) = 10. Then n (P ∩ Q) is
A.	8
B.	9
C.	7
D.	0
Answer» A. 8

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10.	Six years before the ratio of the ages of two sisters Mitali and Sonali is 2 : 3. If the present age of Mitali is 30 years, then the present age of Sonali is
A.	28 years
B.	42 years
C.	36 years
D.	48 years
Answer» B. 42 years

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11.	Find the compound interest on 4,000 for 2 years at 5% p.a.
A.	400
B.	405
C.	415
D.	410
Answer» D. 410

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12.	The value of logarithm of 8 to the base 2 is
A.	3
B.	0
C.	1
D.	2
Answer» A. 3

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13.	If 2nP3 = 84. nP2, then the value of n is
A.	16
B.	11
C.	9
D.	6
Answer» B. 11

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14.	Product of the two roots of the quadratic equation 3x2 – 5x + 2 = 0 is
A.	2/5
B.	3/2
C.	2/3
D.	5/3
Answer» C. 2/3

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15.	If P and Q are two disjoint sets, then n (P ∩ Q) is
A.	1
B.	0
C.	2
D.	3
Answer» B. 0

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16.	If p varies directly as q and if q = 2 then p = 4. If p = 2, the value of q is
A.	1.5
B.	2
C.	1
D.	3
Answer» C. 1

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17.	A man deposited a sum of money to a bank at 9% simple interest p.a. The total interest that he will get at the end of 5 years is 1,620. The deposited amount is
A.	6,000
B.	4,000
C.	3,600
D.	4,400
Answer» C. 3,600

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18.	The mean proportional between 4 and 16 is
A.	8
B.	10
C.	9
D.	+ 8
Answer» D. + 8

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19.	The 6th term of an A.P 2, 5, 8 ……… is
A.	18
B.	16
C.	17
D.	19
Answer» C. 17

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20.	The 7th term of the series 16, 8, 4, 2 ……… is
A.	1/8
B.	1/4
C.	1/2
D.	1/16
Answer» B. 1/4

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21.	If A ∁ B and n (A) = 18, n (B) = 40, then n (A ∩ B) is
A.	18
B.	22
C.	58
D.	40
Answer» A. 18

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22.	The ratio of work done by (x + 2) men in (x – 2) days to that (x – 1) men in (x + 1) days is 4 : 5, the value of x is
A.	+ 4
B.	6
C.	4
D.	8
Answer» C. 4

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23.	The mean proportional between 2 and 8 is
A.	4
B.	16
C.	3
D.	1
Answer» A. 4

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24.	The 7th term of the Arithmetic Progression (AP) 7, 10, 13, 16, …… is
A.	28
B.	22
C.	25
D.	20
Answer» C. 25

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25.	The value of logarithm of 1 to the base 10 is
A.	2
B.	10
C.	0
D.	1
Answer» C. 0

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26.	If nP4 = 30 x nP2, then the value of n is
A.	10
B.	8
C.	6
D.	5
Answer» B. 8

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27.	The sum of the roots of the quadratic equation x2 – 3x = 0 is
A.	1
B.	0
C.	-3
D.	3
Answer» D. 3

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28.	If 3x – 1 – 3x – 3 = 8, then the value of (x2 – x + 4) is
A.	10
B.	8 5
C.	12
D.	15
Answer» A. 10

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29.	The mean proportional between 9 and 25 is
A.	17
B.	15
C.	225
D.	16
Answer» B. 15

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30.	p varies inversely as q. If p = 2 then q = 3. Find p if q = 2.
A.	3
B.	4
C.	1
D.	0
Answer» A. 3

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31.	A person deposits 2,000 at 6% p.a. simple interest for 3 years. The amount he will get back after 3 years is
A.	2,300
B.	2,400
C.	2,360
D.	2350
Answer» C. 2,360
Explanation: The amount that the person will get back after 3 years is 2,000 * 6% * 3 = 360. So the total amount the person will receive after 3 years is 2,000 + 360 = 2,360

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32.	Find the 10th term of the A.P 3, 6, 9, 12, 15, ……………..
A.	20
B.	25
C.	23
D.	30
Answer» D. 30

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33.	The produce of 3 terms in a G.P is 125. The middle term is
A.	3
B.	4
C.	5
D.	6
Answer» C. 5

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34.	The value of 5C2 is
A.	10
B.	9
C.	11
D.	5
Answer» A. 10

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35.	For a quadratic equation x2 – 2x + 1 = 0, the product of the roots is
A.	- 1
B.	1
C.	0
D.	2
Answer» B. 1

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36.	The value of logarithm of 1/10 to the base 10 is
A.	1
B.	-1
C.	0
D.	10
Answer» B. -1

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37.	Three numbers are in the ratio 5 : 7 : 12 and the sum of the first and third numbers is greater than the second by 50. The sum of the three numbers is
A.	130
B.	120
C.	128
D.	125
Answer» B. 120

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38.	In a certain time Rs. 1400 becomes Rs. 1848 at 8% p.a. simple interest. When 2,100 will become 2,604 at the same time, the rate of interest is
A.	8.2%
B.	7%
C.	10%
D.	6%
Answer» D. 6%

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39.	The year by which a sum of rupees would be 1.21 times of itself at 10% per annum C.I is
A.	2 years
B.	3 years
C.	3.5 years
D.	2.5 years
Answer» A. 2 years

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40.	If S be the set of all prime numbers and M = ሼ𝒙 ∶ 𝟎 ൑ 𝒙 ൑ 𝟗ሽ then M – (S ∩ M) is
A.	ሼ𝟎, 𝟏, 𝟒, 𝟔, 𝟖, 𝟗ሽ
B.	ሼ𝟎, 𝟒, 𝟔, 𝟖ሽ
C.	ሼ𝟏, 𝟐, 𝟒, 𝟔, 𝟖ሽ
D.	ሼ𝟏, 𝟑, 𝟓, 𝟕ሽ
Answer» A. ሼ𝟎, 𝟏, 𝟒, 𝟔, 𝟖, 𝟗ሽ

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41.	If a = b2 = c3, then the value of loga(abc) is
A.	13/3
B.	11/6
C.	8/3
D.	4
Answer» B. 11/6

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42.	Which term 128 is of the progression 1, 2, 4, 8, …….?
A.	8th term
B.	7th term
C.	9th term
D.	10th term
Answer» A. 8th term

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43.	If 5Cr – 3C2 = 7C1, then r is
A.	4
B.	3
C.	2
D.	both 2 and 3
Answer» D. both 2 and 3

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44.	y = A + B where A and B vary directly and inversely respectively with x; x = 1 when y = 11 and x = 2 when y = 13. The value of y when x = 3 is
A.	15
B.	17
C.	19
D.	20
Answer» B. 17

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45.	The value of log7 7 is
A.	0
B.	- 1 7
C.	1/2
D.	1
Answer» D. 1

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Fundamentals of Business Mathematics Solved MCQs

Two numbers are in the ratio 5:7. If the sum of the numbers is 192, then the greater number is

x varies inversely as y and if x = 3 then y = 4. If y = 6 then the value of x is

A sum will be double itself at a simple interest p.a. in 8 years. The simple interest is

If (x – 1), (x + 1) and (2x + 3) are in A.P, then the value of x is

The 8th term of the series 256, 128, 64 ….. is

If 2x – 1 + 2x + 1 = 80, then the value of x is

If a and b be the roots of the equation 2x2 + 2x – 3 = 0 then the value of 2ab is

The value of 3P3 – 3C3 is

P and Q are two non-empty sets. Given: n(P) = 12, n(Q) = 6 and n (P U Q) = 10. Then n (P ∩ Q) is

Six years before the ratio of the ages of two sisters Mitali and Sonali is 2 : 3. If the present age of Mitali is 30 years, then the present age of Sonali is

Find the compound interest on 4,000 for 2 years at 5% p.a.

The value of logarithm of 8 to the base 2 is

If 2nP3 = 84. nP2, then the value of n is

Product of the two roots of the quadratic equation 3x2 – 5x + 2 = 0 is

If P and Q are two disjoint sets, then n (P ∩ Q) is

If p varies directly as q and if q = 2 then p = 4. If p = 2, the value of q is

A man deposited a sum of money to a bank at 9% simple interest p.a. The total interest that he will get at the end of 5 years is 1,620. The deposited amount is

The mean proportional between 4 and 16 is

The 6th term of an A.P 2, 5, 8 ……… is

The 7th term of the series 16, 8, 4, 2 ……… is

If A ∁ B and n (A) = 18, n (B) = 40, then n (A ∩ B) is

The ratio of work done by (x + 2) men in (x – 2) days to that (x – 1) men in (x + 1) days is 4 : 5, the value of x is

The mean proportional between 2 and 8 is

The 7th term of the Arithmetic Progression (AP) 7, 10, 13, 16, …… is

The value of logarithm of 1 to the base 10 is

If nP4 = 30 x nP2, then the value of n is

The sum of the roots of the quadratic equation x2 – 3x = 0 is

If 3x – 1 – 3x – 3 = 8, then the value of (x2 – x + 4) is

The mean proportional between 9 and 25 is

p varies inversely as q. If p = 2 then q = 3. Find p if q = 2.

A person deposits 2,000 at 6% p.a. simple interest for 3 years. The amount he will get back after 3 years is

Find the 10th term of the A.P 3, 6, 9, 12, 15, ……………..

The produce of 3 terms in a G.P is 125. The middle term is

The value of 5C2 is

For a quadratic equation x2 – 2x + 1 = 0, the product of the roots is

The value of logarithm of 1/10 to the base 10 is

Three numbers are in the ratio 5 : 7 : 12 and the sum of the first and third numbers is greater than the second by 50. The sum of the three numbers is

In a certain time Rs. 1400 becomes Rs. 1848 at 8% p.a. simple interest. When 2,100 will become 2,604 at the same time, the rate of interest is

The year by which a sum of rupees would be 1.21 times of itself at 10% per annum C.I is

If S be the set of all prime numbers and M = ሼ𝒙 ∶ 𝟎 ൑ 𝒙 ൑ 𝟗ሽ then M – (S ∩ M) is

If a = b2 = c3, then the value of loga(abc) is

Which term 128 is of the progression 1, 2, 4, 8, …….?

If 5Cr – 3C2 = 7C1, then r is

y = A + B where A and B vary directly and inversely respectively with x; x = 1 when y = 11 and x = 2 when y = 13. The value of y when x = 3 is

The value of log7 7 is