Business Mathematics Online MCQ Set 7

QN01. If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is

  1. 10
  2. 8
  3. 6
  4. None of these
Answer

(C)6

QN02. How many 10 digits numbers can be written by using the digits 1and 2

  1. 10C1 + 9C2
  2. 210
  3. 10C2
  4. 10!
Answer

(B)210

QN03. In how much time will Rs 3000 amount to Rs 3993 at 40% p.a compounded quarterly.

  1. 8 months
  2. 6 months
  3. 9months
  4. 11 months
Answer

(C)9months

QN04. The term without x in the expansion ( 2x – 1/2x2 )12 is

  1. 495
  2. -495
  3. -7920
  4. 7920
Answer

(D)7920

QN05. Using binomial theorem expansion of ( 3x + 2y)4

  1. 72x4 + 21x3 y
  2. 81x4 +216x3 y + 216x2y2 + 96xy3 + 16y4
  3. 81x4 + 96x3y + 16x2y2 +216xy3 + 81y4
  4. 37x4 + 43x3y +16y4
Answer

(B)

81x4 +216x3 y + 216x2y2 + 96xy3 + 16y4

QN06. A natural number x is chosen at random from the first one hundred natural numbers. What is the probability that (x + 100/x) > 50

  1. 13/20
  2. 3/5
  3. 9/20
  4. 11/20
Answer

(D)11/20

QN07. The number of positive integral solution of abc = 30 is

  1. 27
  2. 81
  3. 243
  4. None of these
Answer

(C)243

QN08. Solve 2a -b = 0
b +c +2d =100
a +2b +2c =60
-a +c -d =-10

  1. a=2/3, b=7/3, c=78/3, d=105/3
  2. a=5/3, b=2/3, c=80/3, d=100/3
  3. a=2/3, b=7/3, c=80/3, d=105/3
  4. A=4/3, b=8/3, c=80/3, d=106/3
Answer

(A)a=2/3, b=7/3, c=78/3, d=105/3

QN09. Solve a +b +c = 0
12a +2b -3c = 5
3a +4b +c = -4

  1. a=1, b=2, c=3
  2. a=1, b=-2, c=1
  3. a=2, b=3, c=1
  4. a=2, b=2, c=3
Answer

(B)a=1, b=-2, c=1

QN10. A= [aij] mxn is a square matrix, if

  1. m < n
  2. m > n
  3. m = n
  4. None
Answer

(C)m = n

QN11. A triangular matrix can be

  1. Upper triangular
  2. Lower triangular
  3. Both
  4. None
Answer

(C)Both

QN12. If A = cosØ -sinØ then A+ A = I, if the value of Ø sin Ø cosØ

  1. π/6
  2. π/3
  3. π
  4. 3π/2
Answer

(B)π/3

QN13. Two matrices A and B are said to be equal if,

  1. A and B are not of same order
  2. A and B are of symmetric order
  3. A and B are of null order
  4. A and B are of same order
Answer

(D)A and B are of same order

QN14. If the matrix A is both symmetric and skew symmetric, then

  1. A is a diagonal matrix
  2. A is a zero matrix
  3. A is a square matrix
  4. None of these
Answer

(B)A is a zero matrix

QN15. The area of a triangle whose vertices are ( 3, 8), ( -4, 2) and (5, 1) is

  1. 63/2
  2. 51/2
  3. 61/2
  4. 55/2
Answer

(C)61/2

QN16. If area of a triangle is 35sq.units with vertices (2, -6), (5,4) and (k, 4). Then k is

  1. 12
  2. -2
  3. -12, -2
  4. 12, -2
Answer

(D)12, -2

QN17. Solve -x -y +z = -2
3x +2y -2z =7
x +3y -3z =0

  1. y and z are linearly dependent
  2. x, y, z are independent
  3. x, y and z are dependent
  4. None of the above
Answer

(A)y and z are linearly dependent

QN18. The equation ax -3y +5z = 4 is inconsistent for
x -ay +3z =2
9x -7y +8az =0

  1. a =2
  2. a= 3
  3. a =4
  4. a =5
Answer

(A)a =2

QN19. Solve x +y +z =6 using matrix inversion method
x +2y +3z =14
-x +y -z = -2
a)x=2, y=3, z=1

  1. x=1, y=2, z=3
  2. x=1, y=3,z=5
  3. x=2, y=1, z=3
Answer

(B)x=1, y=3,z=5

QN20. Solve x -2y +z =1
3x +y -2z =4
y -z =1

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

(A)x=0, y=-2, z=-3

QN21. For which value of c are the lines parallel 2x – y=10
-cx + 2y =5

  1. c =2
  2. c=3
  3. c=1
  4. c=4
Answer

(D)c=4

QN22. A set consisting of a definite number of elements is called a

  1. Null set
  2. Singleton set
  3. Infinite set
  4. Finite set
Answer

(D)Finite set

QN23. In a club, all the members are free to vote for one, two, or three of the candidates. 20 % of the members did not vote, 38 % of the total members voted for at least 2 candidates. What % of the members voted for either 1 or 3 candidates, If 10 % of the total members voted for all 3
candidates?

  1. 40 %
  2. None of these
  3. 44 %
  4. 36 %
Answer

(B)None of these

QN24. The range of the function f(X) = x / |x| is

  1. R – {0}
  2. R – {-1, 1}
  3. {-1, 1}
  4. None of these
Answer

(C){-1, 1}

QN25. If f(x) = – then the value of 2(f(x))- 5f(x-1) + 2f(x-2) is

  1. 1
  2. -3
  3. 15
  4. None of these
Answer

(D)None of these

QN26. f(x) = |x|+ |y| g(x) = max (x + y) (x – y) h(x) = min (x + y, x – y)
(i) g(x) f(x)
(ii) g(x) + h(x) f(x)
(iii) g(x) > f(x).
Which of the following are not necessarily true?

  1. i and ii
  2. i and iii
  3. ii and iii
  4. i, ii and iii
Answer

(D)i, ii and iii

QN27. Solve f(x) = √9-x2 the range is

  1. {x: 3< x <0}
  2. {x: 0≤ x ≤ 3}
  3. {x: 0< x < 3}
  4. {x: 3≤ x ≤ 0}
Answer

(B){x: 0≤ x ≤ 3}

QN28. If R is the relation “is greater than” from A ={1,2,3,4,5}to B={1,3,4}, Than R-1 is

  1. {(1,2), (1,3),(1,4),(1,5)}
  2. {(3,4),(4,5),(3,5)}
  3. {(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)}
  4. {(2,1), (3,1), (4,1),(4,3), (5,1), (5,3), (5,4)}
Answer

(C){(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)}

QN29. Find the sum of the series 2+5+8+ … +182

  1. 5520
  2. 5612
  3. 5623
  4. 5418
Answer

(B)5612

QN30. If x and y vary inversely as each other, x = 10 when y = 6. Find y when x=15.

  1. 25
  2. 4
  3. 90
  4. 60
Answer

(B)4

QN31. The polar form of (i25)3 is

  1. Cos π/2 + i Sin π/2
  2. Cos π + i Sin π
  3. Cos π – i Sin π
  4. Cos π/2 – i Sin π/2
Answer

(D)Cos π/2 – i Sin π/2

QN32. How many terms of the A.P. 1, 4, 7, 10, … are needed to give the sum 715.

  1. 21
  2. 11
  3. 22
  4. 19
Answer

(C)22

QN33. -6 ÷ (-8 / 17)

  1. 48 / 17
  2. – 51 / 4
  3. 51 / 4
  4. – 48 / 17
Answer

(C)51 / 4

QN34. If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be

  1. 0
  2. p – q
  3. p + q
  4. -(p + q)
Answer

(D)-(p + q)

QN35. √14 is called

  1. Cubic surd
  2. Compound surd
  3. Biquadratic surd
  4. Quadratic surd
Answer

(D)Quadratic surd

QN36. Find the number of words formed by permuting all the letters of SERIES

  1. 177
  2. 160
  3. 156
  4. 180
Answer

(D)180

QN37. How many 3 digit numbers with distinct digits can be formed such that the product of the digits is the cube of a positive integer?

  1. 21
  2. 24
  3. 36
  4. 30
Answer

(D)30

QN38. At what rate% per annum will Rs 64000 become Rs68921 in 1.5 years interest being compounded half yearly?

  1. 4%
  2. 6%
  3. 5%
  4. 7%
Answer

(C)5%

QN39. The cube root of 127 up to four places of decimal are

  1. 5.0264
  2. 4.1468
  3. 5.0236
  4. 4.1648
Answer

(A)5.0264

QN40. If in the expansion of (1 + x)15 the coefficient of (2r +3)th and (r -1)th terms are equal then the value of r is

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

(A)5

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