Business Mathematics

161. In PERT the span of time between the optimistic and pessismistic time estimates of an activity is ______________

  1. 12σ
  2. None of the above.
Correct answer: (B)
12σ

162. In a set – builder method, the null set is represented by

  1. { }
  2. Φ
  3. { x : x ≠ x }
  4. { x : x = x }
Correct answer: (C)
{ x : x ≠ x }

163. In a survey conducted in Patna, it was found that 3/4ths of town owns color T.V., 85 % of the people own refrigerators and every 4 in 5 in the town own music systems, what is the minimum percentage of people who have all the three?

  1. 30 %
  2. 55 %
  3. 40 %
  4. None of these
Correct answer: (C)
40 %

164. The range of the function f(x) = |x - 1| is

  1. (- ∞, 0)
  2. [0, ∞)
  3. (0, - ∞)
  4. R
Correct answer: (B)
[0, ∞)

165. Find the domain of the function y = f(x) which is defined as f(x) = (1 / √{x- [x]}) [x] is the greatest integer function

  1. x is any real number other than an integer
  2. And real value of x
  3. All natural numbers
  4. None of these
Correct answer: (A)
x is any real number other than an integer

166. Let f = {(x, x2 /1+x2 ): x € R } be a function from R into R . range of x is

  1. negative real numbers.
  2. non negative real numbers.
  3. positive real numbers.
  4. any positive real number x such that 0≤ x <1
Correct answer: (D)
any positive real number x such that 0≤ x <1

167. A relation R ={(1,1), (1,2)}ON a ={1,2,3}. A minimum number of elements required in R so that the enlarged relation becomes an equilance relationis

  1. {(2,2), (3,3)}
  2. {(2,1) , (3,1), (3,3)}
  3. {(2,2), (2,1), }
  4. {(2,2), (3,3), (2,1)}
Correct answer: (D)
{(2,2), (3,3), (2,1)}

168. Find the sum of 17 terms of the A.P. 5, 9, 13, 17, …

  1. 623
  2. 580
  3. 629
  4. 650
Correct answer: (C)
629

169. 55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?

  1. 84 cows
  2. 34 cows
  3. 88 cows
  4. 44 cows
Correct answer: (B)
34 cows

170. Log 36 / log 6

  1. 5
  2. 8
  3. 3
  4. 2
Correct answer: (D)
2
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