IMO- Mathematics Olympiad Class 10: Questions 791 - 793 of 908

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Question number: 791

» Area, Surface Area & Volume

MCQ▾

Question

Three solid metallic spheres of radii 4, 6and8 centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.

Choices

Choice (4) Response

a.

7923cm

b.

6923cm

c.

8923cm

d.

7823cm

Question number: 792

» Area, Surface Area & Volume

Data Sufficieny▾

Question

What is the volume of the iron beam?

Statements

  1. The beam is 3m length, 4m wide.

  2. The beam height is 2cm.

Choices

Choice (4) Response

a.

All of the statements are sufficient.

b.

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

c.

Either one of the statements is sufficient.

d.

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

Question number: 793

» Triangle, Circle & Constructions

MCQ▾

Question

In the figure, MN and OP intersect at S. then________.

Circle c Circle c: Circle through B_1 with center MCircle d Circle d: Circle through D_1 with center NSegment f Segment f: Segment [M, N] Segment g Segment g: Segment [O, P] Point M M = (-1.58, 2.96) Point M M = (-1.58, 2.96) Point M M = (-1.58, 2.96) Point N N = (0.68, 2.96) Point N N = (0.68, 2.96) Point N N = (0.68, 2.96) Point O Point O: Intersection point of c, dPoint O Point O: Intersection point of c, dPoint O Point O: Intersection point of c, dPoint P Point P: Intersection point of c, dPoint P Point P: Intersection point of c, dPoint P Point P: Intersection point of c, dPoint S Point S: Intersection point of f, gPoint S Point S: Intersection point of f, gPoint S Point S: Intersection point of f, g

Two Circles Intersect Each Other and OP Intersect at S

two circle; MN and OP intersect at S

Choices

Choice (4) Response

a.

OS=SP

b.

MN=OP

c.

OPMN

d.

Both a. and c. are correct

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