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 poly1 Triangle poly1: Polygon Q, P, R Circle d Circle d: Circle through E_1 with center D Segment c Segment c: Segment [Q, P] of Triangle poly1 Segment a Segment a: Segment [P, R] of Triangle poly1 Segment b Segment b: Segment [R, Q] of Triangle poly1 Point Q Q = (-1.06,1.22) Point Q Q = (-1.06,1.22) Point P P = (0.56,4.48) Point P P = (0.56,4.48) Point R R = (2.24,1.22) Point R R = (2.24,1.22) Point A Point A: Point on c Point A Point A: Point on c Point B Point B: Point on d Point B Point B: Point on d Point E Point E: Intersection point of d, a Point E Point E: Intersection point of d, a A text1 = “A” B text2 = “B” C text3 = “C” P text4 = “P” R text5 = “R” Q text6 = “Q”

Triangle ABC

Triangle ABC havingAB = 18 cm, BC = 6 cm, AC = 8 cm touching sides at P, Q, R.

Choices

Choice (4) Response

a.

b.

c.

d.