IMO- Mathematics Olympiad (SOF) Class 10: Questions 717 - 719 of 958

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Question number: 717

» Area, Surface Area & Volume

MCQ▾

Question

O is the center of a circle of diameter and is a square, if the shaded area is area of the square, then the side of square is________.

Showing the Circle and square in image

Showing the Circle and Square in Image

O is the center of the circle, diameter 12 cm. and OEFG is a square. A shaded area is 1/2 area of square.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 718

» Area, Surface Area & Volume

MCQ▾

Question

A sphere of radius is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is If the sphere is submerged completely, then the surface of the water rises by________.

Choices

Choice (4) Response

a.

2.6 cm

b.

0.5 cm

c.

4.2 cm

d.

2.3 cm

Question number: 719

» Triangle, Circle & Constructions

MCQ▾

Question

In the following figure BC is of length AC is then the radius of the circle is________.

Triangle poly1 Triangle poly1: Polygon A, B, CCircle c Circle c: Circle through B_1 with center ASegment d Segment d: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment c_1 Segment c_1: Segment [C, A] of Triangle poly1Point A A = (0.48, 2.36) Point A A = (0.48, 2.36) Point A A = (0.48, 2.36) Point A A = (0.48, 2.36) Point A A = (0.48, 2.36) Point B Point B: Point on cPoint B Point B: Point on cPoint B Point B: Point on cPoint C C = (-2.1, 0.6) Point C C = (-2.1, 0.6) Point C C = (-2.1, 0.6) 8 cm text1 = “8 cm”10 cm text2 = “10 cm”

Circle and Triangle

In circle center A. also BC = 8cm, AC = 10cm.

Choices

Choice (4) Response

a.

b.

c.

d.

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