IMO- Mathematics Olympiad (SOF) Class 10: Questions 762 - 765 of 958

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Question number: 762

» Triangle, Circle & Constructions

MCQ▾

Question

In a plane 3 lines and a circle are given. If points intersection of two lines or that of a line with the circle are counted, the maximum number of points intersections possible in this is________

Choices

Choice (4) Response

a.

9

b.

5

c.

6

d.

12

Question number: 763

» Area, Surface Area & Volume

MCQ▾

Question

A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 764

» Area, Surface Area & Volume

Data Sufficieny▾

Question

What is the volume of a cube?

Statements

  1. The surface area of cube is.

  2. The length of the cube is

Choices

Choice (4) Response

a.

None of the statements are sufficient.

b.

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

c.

All of the statements are sufficient.

d.

Either one of the statements is sufficient.

Question number: 765

» Triangle, Circle & Constructions

MCQ▾

Question

In the following figure PQ is of length OP is then the radius of the circle is________.

Triangle poly1 Triangle poly1: Polygon O, Q, PCircle c Circle c: Circle through B_1 with center OSegment d Segment d: Segment [O, Q] of Triangle poly1Segment a Segment a: Segment [Q, P] of Triangle poly1Segment c_1 Segment c_1: Segment [P, O] of Triangle poly1Point O O = (0.48,2.36) Point O O = (0.48,2.36) Point O O = (0.48,2.36) Point O O = (0.48,2.36) Point O O = (0.48,2.36) Point Q Point Q: Point on cPoint Q Point Q: Point on cPoint Q Point Q: Point on cPoint P P = (-2.1,0.6) Point P P = (-2.1,0.6) Point P P = (-2.1,0.6) 6 cm text1 = “6 cm”8 cm text2 = “8 cm”

Circle and Triangle

In circle center O. also OP = 8 cm, PQ = 6 cm.

Choices

Choice (4) Response

a.

b.

c.

d.

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