# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 701 - 704 of 968

Access detailed explanations (illustrated with images and videos) to 968 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 450.00 or

How to register?

## Question number: 701

Edit
MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 702

Edit
MCQ▾

### Question

O is the center of a circle of diameter and is a square, if the shaded area is area of the square, then the side of square is________. Circle and Square O is the center of the circle, diameter 6 cm. and OMNR is a square. A shaded area is 1/3 area of square.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 703

Edit
MCQ▾

### Question

Give below are the steps of construction of (without using the center of the circle radius) two tangents to the circle from point N.

1. Step I: Draw a line segment Take a point N outside the circle and draw a secant NOR, intersecting the circle at O and R.

2. Step II: Produce to to M such that draw a semi-circle with as diameter.

3. Step III: Draw intersecting the semi-circle at P. with N as center and MN as radius draw arcs to intersect the given circle at Q and Q’.

4. Step IV: Join NQ and NQ’. Then, NQ and NQ’ are the required tangents.

### Choices

Choice (4) Response

a.

3

b.

1

c.

4

d.

2

## Question number: 704

Edit
MCQ▾

### Question

A cylindrical vessel of diameter is partly filled with water. 100 lead balls are dropped in it. The rise in water level is The diameter of each ball is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.