Business Mathematics

291. The equation x –y =a is consistent for
z +w =b
y –w = c
x +z =d

  1. a = b +c +d
  2. c = a +b +d
  3. b = a +c +d
  4. d = a +b +c
Correct answer: (D)
d = a +b +c

292. Solve 2x +5y =24 using matrix inversion
3x +8y =38

  1. x=3, y=4
  2. x=1, y=3
  3. x=1, y=4
  4. x=2, y=4
Correct answer: (D)
x=2, y=4

293. Solve x +2y –z =3 using Cramer’s rule
3x +y +z =4
x –y +2z = 6

  1. x=-3, y=6, z=5
  2. x=-5, y=9, z=10
  3. x=-6, y=7, z=10
  4. x=-4, y=8, z=5
Correct answer: (B)
x=-5, y=9, z=10

294. Solve 5x + 2y =3-x - 4y =3

  1. x = -1 y =1
  2. x = 1 y = -1
  3. x = 0 y = 1
  4. x =1 y = 0
Correct answer: (B)
x = 1 y = -1

295. In a class of 200 students, 70 played cricket, 60 played hockey and 80 played football. 30 played cricket and football, 30 played hockey and football, 40 played cricket and hockey. Find the maximum number of people playing all three games and also the minimum number of people playing at least one game.

  1. 200, 100
  2. 30,110
  3. 30, 120
  4. None of these
Correct answer: (B)
30,110

296. Find the range for the relation : {(3, 5), (2, 5), (2, 6), (3, 7)

  1. {2, 3}
  2. {5, 6, 7}
  3. {3, 2, 6}
  4. {2, 3, 5}
Correct answer: (B)
{5, 6, 7}

297. If R is a relation on a finite set having a elements , then the number of relations on A is

  1. 2a
  2. 2a2
Correct answer: (B)
2a2

298. Let A ={1,2,3} and R= {(1,2), (1,1), (2,3)}be a relation on A.What minimum number of elements may be adjoined with the elements of R so that it becomes transitive.

  1. (1,2)
  2. (1,3)
  3. (2,3)
  4. (1,1)
Correct answer: (B)
(1,3)

299. Find the 5th term from the end of the G.P. 3, 6, 12, 24, …, 12,288

  1. 384
  2. 192
  3. 1536
  4. 768
Correct answer: (D)
768

300. Write the modulus of 2+ √-3.

  1. √ 7
  2. √ 5
  3. √ 13
  4. √8
Correct answer: (A)
√ 7
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