IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 770 - 772 of 968

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Question number: 770

» Area, Surface Area & Volume

Edit
Data Sufficieny▾

Question

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

Statements

  1. The radius of the base of the cone is

  2. The radius of sphere is

  3. The length of sphere is

Choices

Choice (4)Response

a.

Either one of the statements is sufficient.

b.

Both statement Ⅰ & statement Ⅱ are sufficient.

c.

None of the statements are sufficient.

d.

Either statement Ⅰ or statement Ⅲ is sufficient.

Question number: 771

» Area, Surface Area & Volume

Edit
MCQ▾

Question

The area of a square and a circle are same. If area of the square is , the distance covered when 8 rounds are taken round the circle (approximately), is ________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 772

» Triangle, Circle & Constructions

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MCQ▾

Question

A circle inscribed in having , touching sides at P, Q, R. then is

Triangle poly1Triangle poly1: Polygon Q, P, RCircle dCircle d: Circle through E_1 with center DSegment cSegment c: Segment [Q, P] of Triangle poly1Segment aSegment a: Segment [P, R] of Triangle poly1Segment bSegment b: Segment [R, Q] of Triangle poly1Point QQ = (-1.06,1.22) Point QQ = (-1.06,1.22) Point PP = (0.56,4.48) Point PP = (0.56,4.48) Point RR = (2.24,1.22) Point RR = (2.24,1.22) Point APoint A: Point on cPoint APoint A: Point on cPoint BPoint B: Point on dPoint BPoint B: Point on dPoint EPoint E: Intersection point of d, aPoint EPoint E: Intersection point of d, aAtext1 = “A”Btext2 = “B”Ctext3 = “C”Ptext4 = “P”Rtext5 = “R”Qtext6 = “Q”

Triangle ABC

Choices

Choice (4)Response

a.

b.

c.

d.

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