Business Mathematics

301. Solve log √8/log 8 is the same as

  1. 1/√8
  2. 1/8
  3. ¼
  4. ½
Correct answer: (D)
½

302. Evaluate Log 243 / Log 9

  1. 3/2
  2. 5/2
  3. 7/2
  4. 9/2
Correct answer: (B)
5/2

303. The conjugate of a complex number z = (a + ib) is

  1. – a – ib
  2. b – ai
  3. b + ai
  4. a – ib
Correct answer: (D)
a – ib

304. (-3/5) x (-10/9) x (21/-4) x (-6)

  1. 21
  2. 42
  3. 35
  4. 15
Correct answer: (A)
21

305. The additive inverse of (-11 / -14) is

  1. 11 / 14
  2. – 14 / 11
  3. 14 / 11
  4. – 11 / 14
Correct answer: (D)
– 11 / 14

306. Thickness of a pile of 12 cardboards is 35 mm. Hence the thickness of a pile of 294 cardboards is

  1. 80.50 cm
  2. 83.75 cm
  3. 85.75 cms
  4. 81.50 cms
Correct answer: (C)
85.75 cms

307. The set of irrational numbers is

  1. Finite
  2. Countable
  3. Uncountable
  4. Infinite
Correct answer: (C)
Uncountable

308. The product of r consecutive positive integers is divisible by

  1. r!
  2. (r – 1)!
  3. ( r + 1)!
  4. None of these
Correct answer: (A)
r!

309. If 20Cr = 20Cr-10-10, then 18Cr is equal to

  1. 4896
  2. 816
  3. 1632
  4. None of these
Correct answer: (B)
816

310. Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with at least 4 bowlers?

  1. 265
  2. 263
  3. 264
  4. 275
Correct answer: (C)
264
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