IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 16 - 18 of 109

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Question 16

Question

MCQ▾

In a bullet the gun powder is to be filled up inside the metallic enclosure. The metallic enclosure is made up of a cylindrical base and conical top with the base of radius 5 cm. The ratio of height of cylinder and cone is 3: 2. A cylindrical hole is drilled through the metal ′ solid with height two-third the height of metal solid. What would be the radius of the hole, so that the volume of the hole (in which gun powder is to be filled up) is one-third the volume of metal solid after drilling?

Choices

Choice (4)Response

a.

cm

b.

cm

c.

cm

d.

Question does not provide sufficient data or is vague

Question 17

Question

MCQ▾

In a shop, the items were arranged in a shelf consisting of six rows. Biscuits are arranged above the tins of chocolates but below the rows of packets of chips, cakes are at the bottom, and the bottles of peppermints are below the tins of chocolates. The topmost row had the display of jam bottles. Where exactly are the bottles of peppermints? Mention the place from the top.

Choices

Choice (4)Response

a.

4th

b.

3rd

c.

5th

d.

Both a. and c. are correct

Question 18

Question

MCQ▾

If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds?

Choices

Choice (4)Response

a.

b.

c.

d.