Business Mathematics

151. If a = cos θ + I sin θ, then (1 + a) / (1 – a) =

1. cot θ / 2
2. cot θ
3. i cot θ / 2
4. i tan θ / 2

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152. The sum of all odd numbers between 100 and 200 is

1. 7,000
2. 8,000
3. 8,500
4. 7,500

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153. If n arithmetic means are inserted between 1 and 31, such that the ratio of the first mean and the nth mean is 3 : 29, then the value of n is

1. 10
2. 12
3. 13
4. 14

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154. If in an infinite G.P., the first term is equal to the sum of all successive terms then its common ratio is

1. 1 / 10
2. 1 / 11
3. 1 / 9
4. 1 / 20

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155. Cube root of 5 x cube root of 7 is

1. Cube root of 35
2. Cube root of 12
3. Cube root of 7 / 5
4. Cube root of 2

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156. From 8 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?

1. 736
2. 728
3. 280
4. 792

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157. The greatest possible number of points of intersection of 8 straight lines and 4 circles is

1. 32
2. 64
3. 76
4. 104

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158. Find the compound interest for Rs 10000 for 2 years at 5% per annum the interest being compounded annually.

1. Rs 1000
2. Rs 1025
3. Rs 1050
4. Rs 1100

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159. How many numbers greater than 10 lakhs be formed from 2, 3, 0, 3, 4, 2, 3?

1. 420
2. 360
3. 400
4. 300

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160. If Ram has 3 tickets of a lottery for which 10 tickets were sold and 5 prizes are to be given, the probability that he will win at least one prize is

1. 7/12
2. 9/12
3. 1/12
4. 11/12

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