Business Mathematics

311. Find the 5th term from the end in the expansion of (x3/2 - 2/x2)9

  1. -252 x2
  2. -252 x3
  3. -250 x2
  4. -250 x3
Correct answer: (A)

-252 x2

312. The coefficient of x-15 in the expansion of ( 3x2 -a/3x3) is

  1. -42/27 a7
  2. -40/27 a7
  3. - 43/27 a6
  4. -38/27 a6
Correct answer: (B)

-40/27 a7

313. Find the 5th term from the end in the expansion of (x3/2 - 2/x2)9

  1. 4000
  2. 4096
  3. 4069
  4. 4009
Correct answer: (B)
4096

314. Find the number of integral solutions of equation x + y + z + t = 29, x > 0 , y > 0 < z > 0 and t > 0

  1. 27C3
  2. 28C3
  3. 2600
  4. 29C4
Correct answer: (C)
2600

315. Is 3x -4y +5z =6

  1. Linear
  2. Non linear
  3. Binominal
  4. None
Correct answer: (A)
Linear

316. Find P-1 , if it exist , given P = 10 -2
-5 1

  1. P-1 =0
  2. P-1 = 1/10 0 1/2 1
  3. P-1 =1
  4. P-1 does not exist
Correct answer: (D)

P-1 does not exist

317. The equation x +ky +3z = 0 posses a non trivial solution for k if
2x +ky -2z =0
2x +3y -4z =0

  1. k= 2
  2. k= 3
  3. k= 4
  4. k=5
Correct answer: (C)
k= 4

318. Solve 2x + y +z =7 using Cramer’s rule
3x –y –z =-2
x +2y -3z =-4

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