# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 728 - 732 of 968

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## Question number: 728

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### Question

A cylindrical vessel of diameter is partly filled with water. 400 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.

## Question number: 729

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### Question

A car is moving with the speed of 26 decimeter per second. If it performs 21 revolutions per second, the diameter of the wheel is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 730

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### Question

is a line segment of length O is the mid-point of Circle are drawn with P, O and Q as centers and radii (see figure). The area of the colored portion (in) is________. Image of Trapezoid and Semi-Circle PQis a line segment of length 8 cm. O is the mid-point of PQ. Circle are drawn with P, O and Q as centers and radii PO = OQ

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 731

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### Question

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

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Choice (4) Response

a.

b.

c.

d.

## Question number: 732

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### Question

In a plane 3 lines and a circle are given. If points intersection of three lines or that of a line with the circle are counted, the maximum number of points intersections possible in this is________.

### Choices

Choice (4) Response

a.

9

b.

8

c.

5

d.

7