Business Mathematics

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

1. 3σ
2. 12σ
3. 6σ
4. None of the above.

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

1. { }
2. Φ
3. { x : x ≠ x }
4. { x : x = x }

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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

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

1. (- ∞, 0)
2. [0, ∞)
3. (0, - ∞)
4. R

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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

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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

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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)}

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

1. 623
2. 580
3. 629
4. 650

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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

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170. Log 36 / log 6

1. 5
2. 8
3. 3
4. 2

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