Business Mathematics

241. 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
Correct answer: (C)
6

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

  1. 10C1 + 9C2
  2. 210
  3. 10C2
  4. 10!
Correct answer: (B)
210

243. 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
Correct answer: (C)
9months

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

  1. 495
  2. -495
  3. -7920
  4. 7920
Correct answer: (D)
7920

245. 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
Correct answer: (B)

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

246. 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
Correct answer: (D)
11/20

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

  1. 27
  2. 81
  3. 243
  4. None of these
Correct answer: (C)
243

248. 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
Correct answer: (A)
a=2/3, b=7/3, c=78/3, d=105/3

249. 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
Correct answer: (B)
a=1, b=-2, c=1

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

  1. m < n
  2. m > n
  3. m = n
  4. None
Correct answer: (C)
m = n
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