Business Mathematics Online MCQ Set 5

QN01. In PERT the span of time between the optimistic and pessismistic time estimates of an activity is ______________

  1. 3σ
  2. 12σ
  3. 6σ
  4. None of the above.
Answer

(B)12σ

QN02. In a set – builder method, the null set is represented by

  1. { }
  2. Φ
  3. { x : x ≠ x }
  4. { x : x = x }
Answer

(C){ x : x ≠ x }

QN03. In a survey conducted in Patna, it was found that 3/4ths of town owns color T.V., 85 % of the people own refrigerators and every 4 in 5 in the town own music systems, what is the minimum percentage of people who have all the three?

  1. 30 %
  2. 55 %
  3. 40 %
  4. None of these
Answer

(C)40 %

QN04. The range of the function f(x) = |x – 1| is

  1. (- ∞, 0)
  2. [0, ∞)
  3. (0, – ∞)
  4. R
Answer

(B)[0, ∞)

QN05. Find the domain of the function y = f(x) which is defined as f(x) = (1 / √{x- [x]}) [x] is the greatest integer function

  1. x is any real number other than an integer
  2. And real value of x
  3. All natural numbers
  4. None of these
Answer

(A)x is any real number other than an integer

QN06. Let f = {(x, x2 /1+x2 ): x € R } be a function from R into R . range of x is

  1. negative real numbers.
  2. non negative real numbers.
  3. positive real numbers.
  4. any positive real number x such that 0≤ x <1
Answer

(D)any positive real number x such that 0≤ x <1

QN07. A relation R ={(1,1), (1,2)}ON a ={1,2,3}. A minimum number of elements required in R so that the enlarged relation becomes an equilance relationis

  1. {(2,2), (3,3)}
  2. {(2,1), (3,1), (3,3)}
  3. {(2,2), (2,1), }
  4. {(2,2), (3,3), (2,1)}
Answer

(D){(2,2), (3,3), (2,1)}

QN08. Find the sum of 17 terms of the A.P. 5, 9, 13, 17, …

  1. 623
  2. 580
  3. 629
  4. 650
Answer

(C)629

QN09. 55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?

  1. 84 cows
  2. 34 cows
  3. 88 cows
  4. 44 cows
Answer

(B)34 cows

QN10. Log 36 / log 6

  1. 5
  2. 8
  3. 3
  4. 2
Answer

(D)2

QN11. The argument of (1 – i) / (1 + i) is

  1. – π / 2
  2. π / 2
  3. π 3 / 2
  4. 5 π / 2
Answer

(A)- π / 2

QN12. How many terms of A.P. 21, 18, 15, 12, … must be taken to give the sum zero.

  1. 10
  2. 15
  3. 22
  4. 11
Answer

(B)15

QN13. ( – 3 / 2) + (5 / 4) – (- 7 / 4)

  1. -2
  2. 2
  3. 7/4
  4. 3 / 2
Answer

(A)-2

QN14. The two geometric means between the numbers 1 and 64 are

  1. 1 and 64
  2. 2 and 16
  3. 4 and 16
  4. 3 and 16
Answer

(C)4 and 16

QN15. The union of infinite number of open sets is

  1. An open set
  2. A closed set
  3. Need not be an open set
  4. Not a set
Answer

(A)An open set

QN16. The number of triangles that can be formed with 10 points as vertices, n of them being collinear, is 110. Then n is

  1. 3
  2. 4
  3. 5
  4. 6
Answer

(C)5

QN17. In how many ways 4 men and 4 women can be seated in a row so that men and women are alternate?

  1. 28
  2. 36
  3. 4! 4!
  4. 2.4! 4!
Answer

(D)2.4! 4!

QN18. The number of diagonals that can be drawn by joining the vertices of an octagon is

  1. 20
  2. 28
  3. 8
  4. 16
Answer

(A)20

QN19. Find the 5th term in the expansion ( 1 -2x )-1

  1. 15x3
  2. 16x4
  3. 17x5
  4. 14x6
Answer

(B)

16x4

QN20. If in expansion of (1 +y)n the coefficient of the 5th, 6th and the 7th terms are in A.P the n is equal to

  1. 7, 11
  2. 7, 14
  3. 8, 16
  4. None of these
Answer

(B)7, 14

QN21. If probability P( n, r) =720 and combination C(n, r) =120 then r is

  1. 9
  2. 8
  3. 5
  4. 3
Answer

(D)3

QN22. For 1) 2a +c -2d = 5
2) -a +2b +c = 4
3) +b -c +3d = 1
4) 2a -b +2c -5d = 4

  1. Equation 1 is dependent on 3 and 4
  2. Equation 2 is dependent on 3 and 4
  3. Equation 1 is dependent on 2 and 3
  4. None
Answer

(A)Equation 1 is dependent on 3 and 4

QN23. Is xyz

  1. Non linear
  2. Linear
  3. Binomial
  4. None
Answer

(A)Non linear

QN24. Inverse of a square matrix A, denoted by A-1 is also a square matrix of the same order such that A A-1 is

  1. A-1
  2. A
  3. I
  4. AI
Answer

(C)I

QN25. A diagonal matrix in which all diagonal elements are equal is called

  1. Unit matrix
  2. Null matrix
  3. Scalar matrix
  4. Triangular matrix
Answer

(C)Scalar matrix

QN26. If A, B are symmetric matrices of the same order, then AB – BA is a

  1. Skew symmetric matrix
  2. Symmetric matrix
  3. Zero matrix
  4. Identity matrix
Answer

(A)Skew symmetric matrix

QN27. If A = a b is such that A2 = I, then c – a

  1. 1+ a2 + bc =0
  2. 1 -a2 + bc =0
  3. 1 -a2 -bc = 0
  4. 1 +a2 -bc=0
Answer

(B)

1 -a2 -bc = 0

QN28. Let A be a square matrix of order 3 x 3, then | kA | is equal to

  1. k | A |
  2. k2 | A |
  3. k3 | A |
  4. 3k | A |
Answer

(C)

k3 | A |

QN29. Equation of line joining (1,2) and (3,6) using determinants is

  1. y = 3x
  2. y =2x
  3. x = 2y
  4. x =3x
Answer

(B)y =2x

QN30. If A is an invertible matrix of order 2, then det( A-1) is equal to

  1. det( A)
  2. 1/det( A)
  3. 1
  4. 0
Answer

(B)1/det( A)

QN31. The equation 6x + y =7 will have a solution if
3x + y =4
-6x -2y = a

  1. a= -5
  2. a= -6
  3. a= -7
  4. a= -8
Answer

(D)a= -8

QN32. If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is

  1. 2mn
  2. 2mn -1
  3. 2mn
  4. Mn
Answer

(A)2mn

QN33. Solve x +2y +3z = 85
3x +2y +2z = 105
2x +3y +2z = 110

  1. x =16, y=18, z=9
  2. x=15, y=20, z=10
  3. x=17, y=21, z=11
  4. x=12, y=22, z=12
Answer

(B)x=15, y=20, z=10

QN34. Solve 2x -y -2z =0
x +2y -3z =9
3x -y -4z = 3

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

(A)x= -1, y=2, z =-2

QN35. Solve x +2y -z =2 by finding inverse of the coefficient matrix
3x -4y +2z =1
-x +3y -z = 4

  1. x=2, y=3, z=4
  2. x=1, y=2, z=3
  3. x=2, y=-3, z=-4
  4. x=1, y=4, z=7
Answer

(D)x=1, y=4, z=7

QN36. Are
1) 2x +4y -z = 5
2) y +z = 2
3) x + y +z = 7

  1. Equation 1 is dependent on 2 and 3
  2. Equation 2 is dependent on 1 and 3
  3. Equation 3 is dependent on 1 and 2
  4. Done of the above
Answer

(D)Done of the above

QN37. If the set has p elements, b has q elements, the no of elements in A x B is

  1. p + q
  2. p + q + 1
  3. pq
  4. p2
Answer

(C)pq

QN38. Let f(x) = x / x+ 3, then f (x + 1) =

  1. 3x + 2/ x+ 2
  2. x + 1 / x + 4
  3. (x + 1) / (x + 3)
  4. 2 x + 3 / (x + 3)
Answer

(B)x + 1 / x + 4

QN39. If b = f(a) and f(a) = (a – 1) / (a + 1), which of the following is true?

  1. f(2a) = f(a) + 1
  2. f(1/a) = -f(a)
  3. a = f(b) + f(1/a)
  4. a = f(b)
Answer

(B)f(1/a) = -f(a)

QN40. If A = {1, 2, 3}, B = {1,4,6, 9} and R is a relation from A to B defined by x is greater than y. The range of R is

  1. {1, 4, 6, 9}
  2. {4, 6, 9}
  3. {1}
  4. None of these
Answer

(C){1}

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