IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 783 - 786 of 968

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Question number: 783

» Area, Surface Area & Volume

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MCQ▾

Question

A cuboidal metal of dimensions was melted and cast into a cylinder of height Its radius is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 784

» Area, Surface Area & Volume

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MCQ▾

Question

The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.

Choices

Choice (4)Response

a.

264

b.

122

c.

108

d.

445

Question number: 785

» Area, Surface Area & Volume

Edit
Data Sufficieny▾

Question

A solid metallic cone is melted and recast into a sphere. What is the radius of the sphere?

Statements

  1. The radius of the base of the cone is

  2. The height of the cone is 3 times the radius of its base.

  3. The height of the cone is

Choices

Choice (4)Response

a.

Both statement Ⅰ & statement Ⅱ are sufficient.

b.

Either one of the statements is sufficient.

c.

Only statement Ⅱ is sufficient, while others are not sufficient.

d.

Either statement Ⅱ or statement Ⅲ is sufficient.

Question number: 786

» Triangle, Circle & Constructions

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MCQ▾

Question

In given and is right angled. Then ________

Triangle poly1Triangle poly1: Polygon A, B, CAngle?Angle? : Angle between C, D, C’Angle?Angle? : Angle between C, D, C’Segment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [A, D] Point AA = (0.46,4.66) Point AA = (0.46,4.66) Point AA = (0.46,4.66) Point BB = (-1.56,1.4) Point BB = (-1.56,1.4) Point BB = (-1.56,1.4) Point CC = (2.5,1.4) Point CC = (2.5,1.4) Point CC = (2.5,1.4) Point DPoint D: Point on aPoint DPoint D: Point on aPoint DPoint D: Point on a

∆ ABC, AD⊥BC and ∠a is Right Angled

Choices

Choice (4)Response

a.

b.

c.

d.

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