IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 763 - 768 of 968

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Question 763

Question

MCQ▾

A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 764

Question

Data Sufficiency▾

What is the volume of a cube?

Statements

  1. The surface area of cube is .

  2. The length of the cube is

Choices

Choice (4)Response

a.

None of the statements are sufficient.

b.

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

c.

Either one of the statements is sufficient.

d.

All of the statements are sufficient.

Question 765

Question

MCQ▾

In the following figure PQ is of length OP is then the radius of the circle is________.

Circle and Triangle

Choices

Choice (4)Response

a.

b.

c.

d.

Question 766

Question

MCQ▾

In the given figure is tangent and is a secant to the circle. If the bisector of meets at then is________.

Circle and Tangent of SA

Choices

Choice (4)Response

a.

b.

c.

d.

Question 767

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 is ________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question 768

Question

MCQ▾

A circle inscribed in having , touching sides at A, B, C. then is

Triangle PQR

Choices

Choice (4)Response

a.

b.

c.

d.