| Direction: The questions is accompanied by three statements III and III. You have to determine which statement(s) is/are sufficient/necessary to answer the question. |
| I. The cost of papering the walls is Rs.44 per square metre. |
| II. The windows and the door have dimensions \[\text{1}\frac{\text{1}}{\text{2}}\text{m }\!\!\times\!\!\text{ 1m}\] and \[\text{2m}\times \text{2}\frac{1}{2}m\] respectively. |
| III. The area of the windows is \[\text{1}\text{.25}{{\text{m}}^{\text{2}}}\], which is one fourth of the area of the door. |
A) Only I
B) Only I and II
C) All I, II and III
D) Only land III
E) Either I and II together or I and III together
Correct Answer: E
Solution :
From I and II. Total cost of papering the walls \[=44\times \left[ 2\times 6(4+3)-\left( 2\times \frac{5}{2}+1\times \frac{3}{2} \right) \right]\] \[=44\times \left[ 84-\left( 5+\frac{3}{2} \right) \right]=44\times \frac{155}{2}=Rs.3410\] From I and III. Total cost of papering the walls \[=44\times (2\times 6(4+3)-(5+1.25))\] \[=44\times [84-6.25]=73421\] Hence either I and II together or I and III together are sufficient to answer.
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