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Maths M.C.Q

Introduction to Euclids Geometry · Jharkhand Board (JAC) STD 9 (Jharkhand - English Medium). 22 questions.

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M.C.Q

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22 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Write the correct answer in the following: It is known that if $x + y = 10$ then $x + y + z = 10 + z.$ The Euclid’s axiom that illustrates this statement is:
  • A
    First Axiom.
  • ✓
    Second Axiom.
  • C
    Third Axiom.
  • D
    Fourth Axiom.
Answer
Correct option: B.
Second Axiom.
The Euclid’s axiom that illustrates the given statement is second axiom, according to which. If equals are added to equals, the wholes are equal.
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MCQ 21 Mark
Write the correct answer in the following: The number of dimensions, a surface has:
  • A
    $1$
  • ✓
    $2$
  • C
    $3$
  • D
    $0$
Answer
Correct option: B.
$2$
Boundaries of a solid are called surfaces. A surface (plane) has only length and breadth. So, it has two dimensions.
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MCQ 31 Mark
Write the correct answer in the following: Greek’s emphasised on:
  • A
    Inductive reasoning.
  • ✓
    Deductive reasoning.
  • C
    Both $A$ and $B$.
  • D
    Practical use of geometry.
Answer
Correct option: B.
Deductive reasoning.
The Greeks were interested in establishing the truth of the statements they discovered using deductive reasoning.
A Greek mathematician, Thales is credited with giving the first known proof.
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MCQ 41 Mark
Write the correct answer in the following: ‘Lines are parallel if they do not intersect’ is stated in the form of:
  • A
    An axiom.
  • ✓
    A definition.
  • C
    A postulate.
  • D
    A proof.
Answer
Correct option: B.
A definition.
‘Lines are parallel, if they do not intersect’ is the definition of parallel lines.
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MCQ 51 Mark
Write the correct answer in the following: The total number of propositions in the Elements are:
  • ✓
    $465$
  • B
    $460$
  • C
    $13$
  • D
    $55$
Answer
Correct option: A.
$465$
The total number of propositions in the Elements are $465$.
Note: The statements that can be proved are called propositions or theorems.
Euclid deduced $465$ propositions in a logical chain using his axioms, postulates, definitions and theorems.
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MCQ 61 Mark
Write the correct answer in the following: The three steps from solids to points are:
  • ✓
    Solids - surfaces - lines - points.
  • B
    Solids - lines - surfaces - points.
  • C
    Lines - points - surfaces - solids.
  • D
    Lines - surfaces - points - solids.
Answer
Correct option: A.
Solids - surfaces - lines - points.
The three steps from solids to points are solids-surface-lines-points.
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MCQ 71 Mark
Write the correct answer in the following: Boundaries of surfaces are:
  • A
    Surfaces.
  • ✓
    Curves.
  • C
    Lines.
  • D
    Points.
Answer
Correct option: B.
Curves.
The boundaries of surfaces are curves.
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MCQ 81 Mark
Write the correct answer in the following: The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:
  • A
    Seven.
  • B
    Eight.
  • ✓
    Nine.
  • D
    Eleven.
Answer
Correct option: C.
Nine.
The number of interwoven isosceles triangle in Sriyantra (in the Atharva Veda) is nine.
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MCQ 91 Mark
Write the correct answer in the following: Thales belongs to the country:
  • A
    Babylonia.
  • B
    Egypt.
  • ✓
    Greece.
  • D
    Rome.
Answer
Correct option: C.
Greece.
Thales belongs to the country Greece. The Greeks were interested in establishing the truth of the statements they discovered using deductive reasoning. Thales, a Greeks mathematician, is credited with giving the first known proof.
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MCQ 101 Mark
Write the correct answer in the following: The number of dimension, a point has:
  • ✓
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $3$
Answer
Correct option: A.
$0$
A point is that which has no part i.e., no length, no breadth and no height. So, it has no dimension.
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MCQ 111 Mark
Write the correct answer in the following: In ancient India, the shapes of altars used for house hold rituals were:
  • ✓
    Squares and circles.
  • B
    Triangles and rectangles.
  • C
    Trapeziums and pyramids.
  • D
    Rectangles and squares.
Answer
Correct option: A.
Squares and circles.
In ancient India, squares and circular altars were used for household rituals.
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MCQ 121 Mark
Write the correct answer in the following: Pythagoras was a student of:
  • ✓
    Thales.
  • B
    Euclid.
  • C
    Both $A$ and $B$.
  • D
    Archimedes.
Answer
Correct option: A.
Thales.
Pythagoras ($572$ $BC$) was a student of Thales. Pythagoras and his group discovered many geometric properties and developed the theory of geometry to a great extent. This process continued till $300\ BC$. At that time, Euclid, a teacher of mathematics at Alexandria in Egypt, collected all the known work and arranged it in his famous treatise.
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MCQ 131 Mark
Write the correct answer in the following: The side faces of a pyramid are:
  • ✓
    Triangles.
  • B
    Squares.
  • C
    Polygons.
  • D
    Trapeziums.
Answer
Correct option: A.
Triangles.
The side faces of a pyramid are always triangles.
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MCQ 141 Mark
Write the correct answer in the following:
Euclid divided his famous treatise “The Elements” into:
  • ✓
    $13$ chapters.
  • B
    $12$ chapters.
  • C
    $11$ chapters.
  • D
    $9$ chapters.
Answer
Correct option: A.
$13$ chapters.
Euclid divided his famous treatise 'The Elements' into $13$ chapters.
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MCQ 151 Mark
Write the correct answer in the following:
Euclid belongs to the country:
  • A
    Babylonia.
  • B
    Egypt.
  • ✓
    Greece.
  • D
    India.
Answer
Correct option: C.
Greece.
Euclid belongs to the country Greece. Euclid around $300\ B.C.$ collected all known work in the field of mathematics and arranged it in his famous treatise called Elements.
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MCQ 161 Mark
Write the correct answer in the following: The number of dimensions, a solid has:
  • A
    $1$
  • B
    $2$
  • ✓
    $3$
  • D
    $0$
Answer
Correct option: C.
$3$
A solid has shape, size, position and can be moved from one place to another. So, a solid has three dimensions.
For example: cuboid, cube, cylinder, cone etc.
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MCQ 171 Mark
Write the correct answer in the following: Which of the following needs a proof ?
  • ✓
    Theorem.
  • B
    Axiom.
  • C
    Definition.
  • D
    Postulate.
Answer
Correct option: A.
Theorem.
The statements that were proved are called propositions or theorems.
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MCQ 181 Mark
Write the correct answer in the following: Euclid stated that all right angles are equal to each other in the form of:
  • A
    An axiom.
  • B
    A definition.
  • ✓
    A postulate.
  • D
    A proof.
Answer
Correct option: C.
A postulate.
Euclid stated that all right angles are equal to each other in the form of a postulate.
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MCQ 191 Mark
Write the correct answer in the following: In Indus Valley Civilisation $($about $3000\ B.C.)$, the bricks used for construction work were having dimensions in the ratio:
  • A
    $1 : 3 : 4$
  • ✓
    $4 : 2 : 1$
  • C
    $4 : 4 : 1$
  • D
    $4 : 3 : 2$
Answer
Correct option: B.
$4 : 2 : 1$
Bricks used for construction work were having dimensions in the ratio are $4 : 2 : 1$
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MCQ 201 Mark
Write the correct answer in the following: Boundaries of solids are:
  • ✓
    Surfaces.
  • B
    Curves.
  • C
    lines.
  • D
    points.
Answer
Correct option: A.
Surfaces.
Boundaries of solids are called surfaces.
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MCQ 211 Mark
Write the correct answer in the following: A pyramid is a solid figure, the base of which is:
  • A
    Only a triangle.
  • B
    Only a square.
  • C
    Only a rectangle.
  • ✓
    Any polygon.
Answer
Correct option: D.
Any polygon.
A pyramid is a solid figure, the base of which is any polygon.
(A pyramid is a solid figure, the base of which is a triangle or square or some other polygon)
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MCQ 221 Mark
Write the correct answer in the following: In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for:
  • ✓
    Public worship.
  • B
    Household rituals.
  • C
    Both $A$ and $B$.
  • D
    None of $A, B, C$.
Answer
Correct option: A.
Public worship.
In ancient India altars whose shapes were combinations of rectangles, triangles and trapeziums were used for public worship.
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