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The residues of a complex function $${\text{X}}\left( {\text{z}} \right) = \frac{{1 - 2{\text{z}}}}{{{\text{z}}\left( {{\text{z}} - 1} \right)\left( {{\text{z}} - 2} \right)}}$$     at its poles are

The residues of a complex function $${\text{X}}\left( {\text{z}} \right) = \frac{{1 - 2{\text{z}}}}{{{\text{z}}\left( {{\text{z}} - 1} \right)\left( {{\text{z}} - 2} \right)}}$$     at its poles are Correct Answer $$\frac{1}{2},\,1{\text{ and }} - \frac{3}{2}$$

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Complex Variable mcq question image
The plot for point $$\frac{1}{{\text{z}}}$$ is
If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
In the following question, the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct. 1. Magnets have south and north poles. P. Electromagnets are similar to other magnets but their magnetic properties are temporary.  Q. Opposite poles of two magnets attract whereas like poles repel each other. R. This is the basic principle behind electromagnetic propulsion.  S. It is easy to create a small electromagnet. 6. You only have to connect the ends of a copper wire to the negative and positive ends of an AA, C or D-cell.
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What will be the total weight of 10 poles each of the same weight ? I. One-fourth of the weight of a pole is 5 kilograms. II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
Question : What will be the total weight of 10 poles, each of the same weight ?

Statements :
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.