IMO- Mathematics Olympiad Class 9: Questions 258 - 262 of 919

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Question number: 258

MCQ▾

Question

A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?

Choices

Choice (4) Response

a.

30.33 cm

b.

53.33 cm

c.

15.33 cm

d.

40.33 cm

Question number: 259

MCQ▾

Question

A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________

Choices

Choice (4) Response

a.

2.51 cm

b.

3.51 cm

c.

2.26 cm

d.

3.94 cm

Question number: 260

MCQ▾

Question

In the figure, If and, then

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 261

MCQ▾

Question

The point of concurrency of the angle bisectors of a triangle is called ________.

Choices

Choice (4) Response

a.

Incentre

b.

Orthocentre

c.

Centroid

d.

Circumcentre

Question number: 262

MCQ▾

Question

From the adjoining figure, the value of x is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

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