# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 399 - 405 of 931

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## Question 399

### Question

MCQ▾

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

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Choice (4)Response

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d.

## Question 400

### Question

MCQ▾

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 ________

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Choice (4)Response

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c.

d.

## Question 401

### Question

MCQ▾

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

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Choice (4)Response

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d.

## Question 402

### Question

MCQ▾

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

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Choice (4)Response

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d.

## Question 403

### Question

MCQ▾

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

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Choice (4)Response

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## Question 404

### Question

MCQ▾

In parallelogram UVWX, The altitudes UY and WZ are respectively 14 cm and 15 cm. find UX.

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## Question 405

### Question

MCQ▾

In the given figure, WXYZ is a rectangle. If , then the value of is ________

### Choices

Choice (4)Response

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b.

c.

d.