# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 403 - 408 of 931

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## Question 403

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### Question

MCQ▾

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.

## Question 404

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### Question

MCQ▾

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

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Choice (4)Response
a.
b.
c.
d.

## Question 405

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### Question

MCQ▾

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

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Choice (4)Response
a.
b.
c.
d.

## Question 406

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### Question

MCQ▾

The area of trapezium VXYZ is ________

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Choice (4)Response
a.
b.
c.
d.

## Question 407

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### Question

MCQ▾

A spherical ball of lead, 9 cm in diameter is melted and recast into four spherical balls. The diameter of three of these are 3 cm, 2 cm, 2.5 cm is respectively. The radius of the fourth ball is________.

### Choices

Choice (4)Response
a.6.79 cm
b.8.79 cm
c.5.79 cm
d.7.79cm

## Question 408

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### Question

MCQ▾

In the adjoining figure, AP and BP are angle bisectors of and which meet at P of the parallelogram ABCD. Then

### Choices

Choice (4)Response
a.
b.
c.
d.