Business Mathematics

271. The polar form of (i25)3 is

  1. Cos π/2 + i Sin π/2
  2. Cos π + i Sin π
  3. Cos π – i Sin π
  4. Cos π/2 - i Sin π/2
Correct answer: (D)
Cos π/2 - i Sin π/2

272. How many terms of the A.P. 1, 4, 7, 10, … are needed to give the sum 715.

  1. 21
  2. 11
  3. 22
  4. 19
Correct answer: (C)
22

273. -6 ÷ (-8 / 17)

  1. 48 / 17
  2. – 51 / 4
  3. 51 / 4
  4. – 48 / 17
Correct answer: (C)
51 / 4

274. If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be

  1. 0
  2. p – q
  3. p + q
  4. –(p + q)
Correct answer: (D)
–(p + q)

275. √14 is called

  1. Cubic surd
  2. Compound surd
  3. Biquadratic surd
  4. Quadratic surd
Correct answer: (D)
Quadratic surd

276. Find the number of words formed by permuting all the letters of SERIES

  1. 177
  2. 160
  3. 156
  4. 180
Correct answer: (D)
180

277. How many 3 digit numbers with distinct digits can be formed such that the product of the digits is the cube of a positive integer?

  1. 21
  2. 24
  3. 36
  4. 30
Correct answer: (D)
30

278. At what rate% per annum will Rs 64000 become Rs68921 in 1.5 years interest being compounded half yearly?

  1. 4%
  2. 6%
  3. 5%
  4. 7%
Correct answer: (C)
5%

279. The cube root of 127 up to four places of decimal are

  1. 5.0264
  2. 4.1468
  3. 5.0236
  4. 4.1648
Correct answer: (A)
5.0264

280. If in the expansion of (1 + x)15 the coefficient of (2r +3)th and (r -1)th terms are equal then the value of r is

  1. 5
  2. 6
  3. 4
  4. 3
Correct answer: (A)
5
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