IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 772 - 777 of 1025

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Question 772

Question MCQ▾

A circle inscribed in having , touching sides at P, Q, R. then is

Triangle ABC

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 773

Question MCQ▾

The area of a square and a circle are same. If area of the square is , the distance covered when 6 rounds are taken round the circle (approximately) , is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 774

Question MCQ▾

A cuboidal metal of dimensions was melted and cast into a cylinder of height Its radius is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 775

Question MCQ▾

A man runs around a circle of radius at a speed of The time taken by him for going around it twenty times is ________.

Choices

Choice (4)Response

a.

10 mins 35 secs

b.

20 mins 54 secs

c.

10 mins 42 secs

d.

12 mins 35 secs

Edit

Question 776

Question MCQ▾

A sphere is placed in a cone of height as shown in figure. The volume of sphere if it touches lateral surface and base of cone is________.

Circle Inside a Triangle

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 777

Question Data Sufficiency▾

What is the total surface area of the cone?

Statements

  1. The area of the base of the cone is

  2. The curved surface area of the cone is

  3. The volume of the cone is

Choices

Choice (4)Response

a.

Either one of the statements is sufficient.

b.

Either statement Ⅱ or statement Ⅲ is sufficient & only statement Ⅰ is sufficient, while others are not sufficient.

c.

All of the statements are sufficient.

d.

Both statement Ⅰ & statement Ⅲ are sufficient.

Edit