# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 819 - 823 of 968

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## Question 819

### Question

MCQ▾

In the given figure, PNQR is cyclic quadrilateral and MO is tangent to the circle with center ‘S’ . PQ is diameter, the ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 820

### Question

MCQ▾

A sphere of radius is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is If the sphere is submerged completely, then the surface of the water rises by________.

### Choices

Choice (4)Response

a.

2.66 cm

b.

0.85 cm

c.

3.22 cm

d.

3.4 cm

## Question 821

### Question

MCQ▾

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are then equals________.

### Choices

Choice (4)Response

a.

3 cm

b.

11 cm

c.

10 cm

d.

13 cm

## Question 822

### 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.

## Question 823

### Question

MCQ▾

Two circles of radii and intersect each other and length of common chord is The distance between their centres is________.

### Choices

Choice (4)Response

a.

b.

c.

d.