IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 762 - 765 of 968

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Question number: 762

» Triangle, Circle & Constructions

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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.

12

b.

6

c.

9

d.

5

Question number: 763

» Area, Surface Area & Volume

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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

Edit
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 Ⅰ is sufficient, while others are not sufficient.

c.

Either one of the statements is sufficient.

d.

All of the statements are sufficient.

Question number: 765

» Triangle, Circle & Constructions

Edit
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, P Circle c Circle c: Circle through B_1 with center O Segment d Segment d: Segment [O, Q] of Triangle poly1 Segment a Segment a: Segment [Q, P] of Triangle poly1 Segment c_1 Segment c_1: Segment [P, O] of Triangle poly1 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 O O = (0.48,2.36) Point Q Point Q: Point on c Point Q Point Q: Point on c Point Q Point Q: Point on c Point 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.