Quantitative Ability Questions

Directions for next 3  questions: Answer the quantitative ability questions on the basis of the information given below.

Consider a cylinder of height n cms and radius 3/π cms. A string of width h cms, when would around the cylinder without keeping any space between two turns, covers the lateral surface of the cylinder completely.

1. What is the required length of the string?
a. 6n/h cms
b. 12h/c cms
c. 36n/h cms
d. 6n cms

2. The same string is wound on the exterior four walls of a cube, making eqully spaced 6 turns starting from point A and ending at point B exactly above A. If ‘a’ is the side of the cube then find the relation between a and n. (Let h = 1 in the above question and neglect it in this question)
a. a = 3/2√n
b. a = 1/4n
c. n = √3/2a²
d. a = 1/2n²

3. Find the ratio of the lateral surface area of the cylinder to the total surface arear of the cube.
a. 16:n
b. 3n:8
c. 8n:3
d. None of these

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