IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 784 - 788 of 968

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Question 784

Question

MCQ▾

The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.

Choices

Choice (4)Response

a.

264

b.

122

c.

108

d.

445

Question 785

Question

Data Sufficiency▾

A solid metallic cone is melted and recast into a sphere. What is the radius of the sphere?

Statements

  1. The radius of the base of the cone is

  2. The height of the cone is 3 times the radius of its base.

  3. The height of the cone is

Choices

Choice (4)Response

a.

Both statement Ⅰ & statement Ⅱ are sufficient.

b.

Either one of the statements is sufficient.

c.

Only statement Ⅱ is sufficient, while others are not sufficient.

d.

Either statement Ⅱ or statement Ⅲ is sufficient.

Question 786

Question

MCQ▾

In given and is right angled. Then ________

∆ ABC, AD ⊥ BC and ∠ a is Right Angled

Choices

Choice (4)Response

a.

b.

c.

d.

Question 787

Question

MCQ▾

In , then ________

Triangle ABC is Given with be Perpendicular to AC and CF Perpendicular to AB

Choices

Choice (4)Response

a.

b.

c.

d.

Question 788

Question

MCQ▾

The inner circumference of a circular track is The track is wide from everywhere. The quantity of wire required to surround the path completely is ________.

Choices

Choice (4)Response

a.

b.

c.

d.