# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 397 - 403 of 929

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## Question number: 397

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MCQ▾

### Question

In the adjoining figure, Line p and q are transversals, then ST = ________

### Choices

Choice (4)Response

a.

10 units

b.

15 units

c.

12 units

d.

14 units

## Question number: 398

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MCQ▾

### Question

In the medians PS, QT and RU pass through O. if , and then OS is ________ In Triangle PQR, the Medians PS, QT and RU Pass through O

### Choices

Choice (4)Response

a.

2.5

b.

2.6

c.

2.3

d.

2.9

## Question number: 399

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MCQ▾

### Question

What change in percent is made in the area of a rectangle by decreasing its length and increasing its breadth by ?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 400

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MCQ▾

### Question

The heights of two cones are in the ratio of 3: 8 and their radius in the ratio 5: 3. Then the ratio of their volumes is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 401

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MCQ▾

### Question

PQRS is a cyclic Quadrilateral whose diagonals intersect at a point E. If , , , then =________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 402

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MCQ▾

### Question

The area of rhombus is and one of its diagonals is 8 cm. its perimeter is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 403

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MCQ▾

### Question

The largest sphere is cut off from a cube of side 8 cm. the volume of the sphere will be ________

### Choices

Choice (4)Response

a.

b.

c.

d.

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