Business Mathematics Online MCQ Set 6

QN01. If z = (2-3i) and z²-4z+13 = 0 and hence find the value of (4z³-3z²+169)

1. 0
2. -1
3. 10
4. 9

Answer

(A)0

QN02. A private taxi charges a fare of Rs. 260 for a journey of 200 km. How much would it travel for Rs 279.50?

1. 215
2. 363.35
3. 186
4. 240

Answer

(A)215

QN03. The sum of three numbers in G.P. is 35 and their product is 1000. The numbers are

1. 5, 10, 20
2. 20, 10, 15
3. 10, 5, 0
4. 20, 10, 10

Answer

(A)5, 10, 20

QN04. The multiplicative inverse of (-5 / 8) x (16 / 15)

1. – 2 / 3
2. 2 / 3
3. -3 / 2
4. 3 / 2

Answer

(B)2 / 3

QN05. The sum of all two digit numbers when divided by 4, yield unity as remainder is

1. 1200
2. 1210
3. 1250
4. None of these

Answer

(B)1210

QN06. 52 men can do a piece of work in 12 days. 28 men will do it in

1. 65 days
2. 60 days
3. 56 days
4. 67 days

Answer

(A)65 days

QN07. The number of different signals which can be given from 6 flags of different colours taken one or more at a time is

1. 1958
2. 1956
3. 16
4. 64

Answer

(B)1956

QN08. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

1. 6
2. 9
3. 12
4. 18

Answer

(D)18

QN09. If ⁿC12 + ⁿC8, then n=

1. 20
2. 12
3. 6
4. 30

Answer

(A)20

QN10. The middle term of the expansion ( x -1/x )¹⁰ is

1. -252
2. -250
3. -248
4. -262

Answer

(A)-252

QN11. Find the term independent of x in the expansion of (x² + 1/x)⁹

1. 6 th term
2. 8th term
3. 7 th term
4. 8th term

Answer

(C)7 th term

QN12. The probability that a man will live 10 years is ¼ and the probability that his wife will live 10 more years is 1/3. Then the probability that neither will be alive in 10 years as

1. 5/12
2. 7/12
3. ½
4. 11/12

Answer

(C)½

QN13. Solve a + b + c +d =1
-a + b -d = 1
a -b +c = 1
b +c = 1

1. a= 2, b= 1, c= 0, d=-2
2. a=1, b=2, c=0, d=2
3. a=2, b=0, c=0, d=-2
4. a=1, b=1, c=-2, d=2

Answer

(A)a= 2, b= 1, c= 0, d=-2

QN14. Solve x -3y +6_z = -1
2x -5y +10_z = 0
3x -8y +17_z = 1

1. x=4, y=5, z=1
2. x=2, y=3, z=6
3. x=5, y=6, z=2
4. x=5, y=3, z=6

Answer

(C)x=5, y=6, z=2

QN15. Exogenous variables of a matrix are called

1. Endogenous variables
2. Dependent variables
3. Mixed variables
4. Independent variables

Answer

(D)Independent variables

QN16. The number of all possible matrices of order 3×3 with each entry 0 or 1 is:

1. 27
2. 18
3. 81
4. 512

Answer

(D)512

QN17. If A is a square matrix such that A² = A, then (I + A )³ -7A is equal to

1. A
2. I – A
3. I
4. 3A

Answer

(C)I

QN18. Matrices A and B will be inverse of each other only if

1. AB = BA
2. AB =BA = 0
3. AB =0, BA =I
4. AB = BA = I

Answer

(D)AB = BA = I

QN19. Find values of k if area of triangle is 4sq. units and vertices are (k, 0), (4,0), (0,2)

1. 0, 8
2. 8, 0
3. 0, 0
4. 8, 8

Answer

(A)0, 8

QN20. Equation of line joining (3,1), and(9,3) using determinants are

1. x -3y =0
2. x +3y =0
3. y +3x =0
4. y -3x =0

Answer

(a)x -3y =0

QN21. Given 5x +3y = 8, -2x +5y =10 and 3x +βy =4 . Equation I consistent for

1. β =46/33
2. β =47/33
3. β =45/33
4. β =41/33

Answer

(B)β =47/33

QN22. Solve x +2y +3z =4, 2x +3y +8z =7 and x -y -9z =1 using Gauss-Jordan method

1. x=1, y=2, z=3
2. x=0, y=1, z=3
3. x=2, y=1, z=0
4. x=3, y=0, z=1

Answer

(C)x=2, y=1, z=0

QN23. Solve 2a +4b =7
4a +3b =1

1. a =-5, b=3
2. a= -2, b=4
3. a= -1.7, b=2.6
4. a=-2.5, b=3.4

Answer

(C)a= -1.7, b=2.6

QN24. Solve 3x +4y +5z =18
2x -y +8z=13
5x -2y +7z =20

1. x=2, y=1, z=2
2. x=3, y=1, z=1
3. x=1, y=2, z=1
4. x=2,y=1, z=1

Answer

(B)x=3, y=1, z=1

QN25. Solve 2x + 5y = -10
-2x + 4y = 0

1. x = -10/9 y= -20/9
2. x= -8/9 y= -10/9
3. x= -20/9 y= -10/9
4. x= -10/9 y= -8/9

Answer

(C)x= -20/9 y= -10/9

QN26. A survey showed that 63 % of the Americans like cheese whereas 76 % like apples. If x % of Americans like both cheese and apples, then find the range of x?

1. 0 ≤ x ≤ 23 %
2. 0 ≤ x ≤ 39 %
3. 4 ≤ x ≤ 35 %
4. 6 ≤ x ≤ 33 %

Answer

(B)0 ≤ x ≤ 39 %

QN27. If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is

1. 1
2. 2
3. 3
4. 4

Answer

(C)3

QN28. If f(x) = +, then f(x) is

1. An odd function
2. An even function
3. Neither odd nor even
4. None of the above

Answer

(B)An even function

QN29. If A = {1, 2, 4} B = {2, 4, 5}, C = {2, 5} then (A – B) x (B – C)

1. {(1, 2), (1, 5), (2, 5) }
2. {(1, 4)}
3. (1, 4)
4. None of these.

Answer

(B){(1, 4)}

QN30. Let R be a relation N define by x + 2y = 8 . The domain of R is

1. {2,4,8}
2. {2,4,6,8}
3. {2,4,6}
4. {1,2,3,4}

Answer

(C){2,4,6}

QN31. If A and B are two sets containing respectively m and n distinct elements. How many different relations can be defined for A and B?

1. 2mn
2. 2m+n
3. 2m-n
4. 2m/n

Answer

(A)2mn

QN32. A set is known by its ____________________.

1. Values
2. Elements
3. Letters
4. Members

Answer

(B)Elements

QN33. Find the Harmonic Mean between 2/3 and -4/3.

1. 8/3
2. 16/3
3. -8/3
4. -16/3

Answer

(A)8/3

QN34. If log10 2 = 0.3010, then log2 10 is equal to:

1. 0.6990
2. 1000/301
3. 699/301
4. 0.3010

Answer

(B)1000/301

QN35. The value of (1+ i)(1 +i²)(1+i³)(1+ )

1. 2
2. 0
3. 1
4. i

Answer

(B)0

QN36. If θ is the amplitude of (a + ib) / (a – ib), then tan θ=

1. 2a / a² + b²
2. (a² – b²) / (a² + b²)
3. 2ab / ( a² – b²)
4. None of these

Answer

(C)

2ab / ( a² – b²)

QN37. The reciprocal of a negative rational number is

1. Positive
2. 0
3. 1
4. Negative

Answer

(D)Negative

QN38. The twentieth term of √2, 3√2, 5√2, 7√2, … is

1. 28√2
2. 19√2
3. 30√2
4. 39√2

Answer

(D)39√2

QN39. If the second term of G.P. is 2 and the sum of its infinite terms is 8, then its first term is

1. 1 / 4
2. 1 / 2
3. 2
4. 4

Answer

(D)4

QN40. 4 √5 + 6√5 + 1/2√5 =

1. 23 / 2√5
2. 12√5
3. 21/2√5
4. 2 / 3 √5

Answer

(C)21/2√5