Business Mathematics

141. If f(x) = Log [(1 + x)/(1-x), then f (2x )/(1 + x²) is equal to

1. 2 f (x)
2. {f(x)}²
3. {f(x)}³
4. 3 f(x)

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142. If f(x) = c.x +1 and g(x)= 3x+2. If f(g(x)) = g(f(x))then what is the value of c?

1. 1
2. 2
3. 3
4. 4

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143. Evaluate f(1) + f(2) + f(3) + … + f(25)

1. -26
2. None of these
3. -24
4. -22

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144. The range of the real function f defined by f (x) = √(x -1) =

1. (1,∞)
2. (0,1)
3. [0,∞)
4. (∞,0]

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145. { (a, b): a² +b² = 1} on the set S has the following relation

1. symmetric
2. reflexive and transitive
3. none
4. reflexive

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146. Let R= {(x,y) :x, y belong to N, 2x+y =41}. The range is of the relation R is

1. {(2n +1):n belongs to N , 1≤n≤20}
2. {2n: n belongs to N, 1< n< 20}
3. {(2n-1) : n belongs to N, 1≤n≤20}
4. { (2n+2) : n belongs to N, 1< n <20}

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147. Insert A.M.'s (Arithmetic Mean) between 7 and 71 in such a way that the 5^th A.M. is 27. The number of A.M.s are

1. 12
2. 17
3. 15
4. 51

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148. A car travels 432 km on 48 litres of petrol. How far will it travel on 20 litres of petrol?

1. 18
2. 9
3. 34
4. 180

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149. If log 27 = 1.431, then the value of log 9 is:

1. 0.934
2. 0.958
3. 0.945
4. 0.954

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150. If a = 1 + i , then a² equals

1. 1 - i
2. 2i
3. (1 + i)(1 - i)
4. i - 1

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