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Elementary Mathematics || Quiz-23 || CDS

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Question 1

Let there be a regular octagon. Now ABCD and EFGH be two squares such that ABCD is the largest square that can fit inside that octagon and EFGH is the smallest square containing that octagon. What is the ratio of side of square ABCD to that of square EFGH.

Question 2

The area of a regular hexagon is equal to the area of the square. What is the ration of the perimeter of the regular hexagon to the perimeter of square?

Question 3

The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?

Question 4

A rectangular field costs Rs.225 for ploughing at the rate of 75 paise per square meter. if ratio of length and breadth is 4:3. find its perimeter?

Question 5

The dimension of a cigarette packet i.e. length, breadth and height are 10 cm, 9 cm, and 7 cm respectively. The inner surface area of the cigarette packet is 262 sq. cm. If the boundaries of the cigarette packet are of uniform thickness t cm then find the value of t.
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Jun 2CDS & Defence