# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 824 - 829 of 968

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## Question 824

### Question

MCQ▾

The legs of a right angled triangle are and The radius of circle inscribed in the triangle (in cm) , is________. Right Triangle is Given with Legs 8 and 15 Cm

### Choices

Choice (4)Response

a.

2

b.

4

c.

3

d.

1

## Question 825

### Question

MCQ▾

In the given figure, if then equals________. A Circle with AB = 10cm, BD = 6cm, AC = 6cm

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 826

### Question

MCQ▾

A cylindrical vessel of height and as the radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is the radius of its base is________.

### Choices

Choice (4)Response

a.

b.

23.76 cm

c.

d.

28.76 cm

## Question 827

### Question

MCQ▾

If the radii of the circular ends of a bucket of height are of lengths and , then the volume of the bucket in cubic centimeters, is________.

### Choices

Choice (4)Response

a.

60060

b.

70040

c.

80160

d.

56980

## Question 828

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 829

### Question

MCQ▾

In the given figure, ABCD is cyclic quadrilateral and EF is tangent to the circle with center ‘G’ . AC is diameter, the ________. ABCD is Cyclic Quadrilateral

### Choices

Choice (4)Response

a.

b.

c.

d.