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Math Olympiad Test: Introduction to Euclid’s Geometry- 1


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10 Questions MCQ Test Mathematics Olympiad for Class 9 | Math Olympiad Test: Introduction to Euclid’s Geometry- 1

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Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 1

Select the incorrect statement.

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 1

Statement (c) is incorrect because it basically a corollary from whose truth can be easily deduced using a theorem.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 2

Which of the following statements is correct?

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 2

According to Euclid's postulate 2; a terminated line can be produced indefinitely.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 3

Euclid divided his books in how many chapters?

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 3

Euclid’s Treatise “The Elements” is written in 13 chapters
It mainly deals with Solid figures, Plane Geometry, Fundamental arithmetic and few typical problems
Therefore, Euclid divided his famous treatise into 13 chapters.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 4

Which of the following does not need a proof?

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 4

Axiom, Postulate and definition are self-evident & do not need any proof. Theorem is a proposition which needs a proof to establish its truth.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 5

How many parallel lines can be drawn parallel to a given line L and passing through a fixed point P?

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 5

Only one line can be drawn parallel to a given line and passing through a fixed point.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 6

 has how many endpoints?

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 7

If AB || CD and CD || PQ then AB and PQ are  

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 7

∵ AB || CD, and CD || PQ
∴ AB || QP

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 8

For the determination of a plane, how many unique lines are required (minimum)?

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 8

Minimum 2 lines are required for the determination of a plane.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 9

A surface has

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 9

A surface has 2-dimensions i.e., a surface is a 2D figure.

Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 10

If two planes intersect each other, then the minimum point of intersection will be

Detailed Solution for Math Olympiad Test: Introduction to Euclid’s Geometry- 1 - Question 10

Two planes can intersect each other at a minimum of 1 point.

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