IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 257 - 262 of 931

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Question 257

Question

MCQ▾

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.

40.33 cm

d.

15.33 cm

Question 258

Question

MCQ▾

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.

2.26 cm

c.

3.51 cm

d.

3.94 cm

Question 259

Question

MCQ▾

In the figure, If and , then

Given the LM is Parallel to CB and LN is Parallel to CD

Choices

Choice (4)Response

a.

b.

c.

d.

Question 260

Question

MCQ▾

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

Choices

Choice (4)Response

a.

Circumcentre

b.

Incentre

c.

Centroid

d.

Orthocentre

Question 261

Question

MCQ▾

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

Given the Adjoining Figure, Find Value of X

Choices

Choice (4)Response

a.

b.

c.

d.

Question 262

Question

MCQ▾

Orthocenter of a triangle is the point of concurrency of its ________

Choices

Choice (4)Response

a.

Medians

b.

Angle bisectors

c.

Altitudes

d.

Perpendicular bisectors