Business Mathematics

231. If A and B are two sets containing respectively m and n distinct elements. How many different relations can be defined for A and B?

  1. 2mn
  2. 2m+n
  3. 2m-n
  4. 2m/n
Correct answer: (A)
2mn

232. A set is known by its ____________________.

  1. Values
  2. Elements
  3. Letters
  4. Members
Correct answer: (B)
Elements

233. Find the Harmonic Mean between 2/3 and -4/3.

  1. 8/3
  2. 16/3
  3. -8/3
  4. -16/3
Correct answer: (A)
8/3

234. If log10 2 = 0.3010, then log2 10 is equal to:

  1. 0.6990
  2. 1000/301
  3. 699/301
  4. 0.3010
Correct answer: (B)
1000/301

235. The value of (1+ i)(1 +i2)(1+i3)(1+ )

  1. 2
  2. 0
  3. 1
  4. i
Correct answer: (B)
0

236. If θ is the amplitude of (a + ib) / (a – ib), then tan θ=

  1. 2a / a2 + b2
  2. (a² - b2) / (a2 + b2)
  3. 2ab / ( a2 - b2)
  4. None of these
Correct answer: (C)

2ab / ( a2 - b2)

237. The reciprocal of a negative rational number is

  1. Positive
  2. 0
  3. 1
  4. Negative
Correct answer: (D)
Negative

238. The twentieth term of √2, 3√2, 5√2, 7√2, … is

  1. 28√2
  2. 19√2
  3. 30√2
  4. 39√2
Correct answer: (D)
39√2

239. If the second term of G.P. is 2 and the sum of its infinite terms is 8, then its first term is

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

240. 4 √5 + 6√5 + ½√5 =

  1. 23 / 2√5
  2. 12√5
  3. 21/2√5
  4. 2 / 3 √5
Correct answer: (C)
21/2√5
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