Download App

Maths M.C.Q

Introduction to Euclid Geometry · Bihar Board (BSEB) STD 9 (BSEB - English Medium). 188 questions.

Questions · Page 3 of 4

M.C.Q

MCQ 1011 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.
View full question & answer→
MCQ 1021 Mark
Every line has:
  • A
    Two mid$-$points.
  • B
    Three mid$-$points.
  • ✓
    Only one mid$-$point.
  • D
    None of these.
Answer
Correct option: C.
Only one mid$-$point.
The midpoint of a line segment divides it into two equal parts, therefore, a line can have only one mid$-$point.
View full question & answer→
MCQ 1031 Mark
The edges of a surface are:
  • A
    Points.
  • B
    Curves.
  • ✓
    Lines.
  • D
    None of these.
Answer
Correct option: C.
Lines.
Edge is a line or border at which a surface terminates.
View full question & answer→
MCQ 1041 Mark
The number of dimensions of a surface are:
  • A
    $1$
  • ✓
    $2$
  • C
    $3$
  • D
    $0$
Answer
Correct option: B.
$2$
A surface has $2$ dimensions.
View full question & answer→
MCQ 1061 Mark
Euclid belongs to the country:
  • A
    India.
  • ✓
    Greece.
  • C
    Japan.
  • D
    Egypt.
Answer
Correct option: B.
Greece.
Euclid belongs to the country, Greece.
View full question & answer→
MCQ 1071 Mark
The side faces of a prism are:
  • A
    Triangles.
  • ✓
    Rectangles.
  • C
    Polygons.
  • D
    Squares.
Answer
Correct option: B.
Rectangles.
When the side faces of a polyhedron are rectangles then it is known as prism.
View full question & answer→
MCQ 1081 Mark
Axioms are assumed:
  • A
    Universal truths specific to geometry.
  • ✓
    Universal truths in all branches of mathematics.
  • C
    Theorems.
  • D
    Definitions.
Answer
Correct option: B.
Universal truths in all branches of mathematics.
From ancient times, axioms have been acquired by man through the day to day experiences.
No mathematical deduction is needed to prove them.
So axioms are assumed universal truths in all branches of mathematics.
View full question & answer→
MCQ 1091 Mark
The side faces of a pyramid are:
  • ✓
    Triangles.
  • B
    Rectangles.
  • C
    Squares.
  • D
    Polygons.
Answer
Correct option: A.
Triangles.
Because when we connect base edge and apex it forms a triangle.
View full question & answer→
MCQ 1101 Mark
It is known that if $x + y = 10$ then $x + y + z = 10 + z$. The Euclid’s axiom that illustrates this statement is:
  • ✓
    Second Axiom.
  • B
    Fourth Axiom.
  • C
    Third Axiom.
  • D
    First Axiom.
Answer
Correct option: A.
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.
View full question & answer→
MCQ 1111 Mark
The whole is $..........$ the part.
  • A
    Equal.
  • ✓
    Greater than.
  • C
    Less than.
  • D
    Double.
Answer
Correct option: B.
Greater than.
The whole is made up of its parts, hence, it will always be greater than the part.
View full question & answer→
MCQ 1121 Mark
The three steps from solids to points are:
  • A
    Lines $-$ points $-$ surfaces $-$ solids
  • B
    Lines $-$ surfaces $-$ points $-$ solids
  • C
    Solids $-$ lines $-$ surfaces $-$ points
  • ✓
    Solids $-$ surfaces $-$ linepoint
Answer
Correct option: D.
Solids $-$ surfaces $-$ linepoint
Solids $-$ surfaces $-$ linepoint
View full question & answer→
MCQ 1131 Mark
The things which are double of the same things are:
  • A
    Unequal.
  • ✓
    Equal.
  • C
    Halves of the same thing.
  • D
    Double of the same thing.
Answer
Correct option: B.
Equal.
According to an Euclidian axiom, The things which are double of the same things are equal to one another.Example: if $2x = 2y$, then $x = y.$
View full question & answer→
MCQ 1141 Mark
Two lines are said to be parallel if:
  • A
    They intersect each other at any point.
  • ✓
    They do not intersect each other at any point.
  • C
    The angle between these lines is 90 degree.
  • D
    None of these
Answer
Correct option: B.
They do not intersect each other at any point.
Two lines are said to be parallel if they do not intersect each other at any point.
The angle between these lines is $180$ degree.
View full question & answer→
MCQ 1151 Mark
If $C$ is the mid-point of the line segment $AB$ and $L$ is the mid-point of $AC$, then:
  • A
    $\text{AL}=\frac{1}{2}\text{AB}$
  • B
    $\text{AL}=\frac{3}{4}\text{AB}$
  • C
    $\text{AL}=\frac{1}{3}\text{AB}$
  • ✓
    $\text{AL}=\frac{1}{4}\text{AB}$
Answer
Correct option: D.
$\text{AL}=\frac{1}{4}\text{AB}$
If $C$ is the mid-point of the line segment $AB$, then, $AB = 2AC.$
Now, $L$ is the mid-point of $AC$, then, $AC = 2AL$. This follows that $AB = 4AL.$
Hence, $\text{AL}=\frac{1}{4}\text{AB}.$
View full question & answer→
MCQ 1161 Mark
Euclid’s fifth postulate is:
  • A
    The whole is greater than the part.
  • B
    All right angles are equal to one another.
  • ✓
    If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
  • D
    A circle may be described with any centre and any radius.
Answer
Correct option: C.
If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
View full question & answer→
MCQ 1171 Mark
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:
  • A
    $7$
  • B
    $8$
  • ✓
    $9$
  • D
    $11$
Answer
Correct option: C.
$9$
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is nine.
View full question & answer→
MCQ 1181 Mark
Thales belongs to:
  • A
    Babylonia.
  • ✓
    Greece.
  • C
    Rome.
  • D
    Egypt.
Answer
Correct option: B.
Greece.
Thales, a Greek mathematician cum philosopher lived in Pre-Socratic times around $620-625 BC$. He is commonly known as Thales of Miletus as he belonged to Miletus in Asian region.
View full question & answer→
MCQ 1191 Mark
The number of end points a line segment has:
  • ✓
    $2$
  • B
    $1$
  • C
    $0$
  • D
    None of these
Answer
Correct option: A.
$2$
A line segment has two end points.
View full question & answer→
MCQ 1201 Mark
Which of the following is true statement?
  • A
    The ceiling and a wall of a room are parallel planes.
  • B
    Two adjacent walls of a room are parallel planes.
  • C
    The floor and a wall of a room are parallel planes.
  • ✓
    The floor and the ceiling of a room are parallel planes.
Answer
Correct option: D.
The floor and the ceiling of a room are parallel planes.
Clearly floor and the ceiling of a room are opposite to each other and do not intersect at any point, hence are parallel planes.
View full question & answer→
MCQ 1211 Mark
The shape of the base of a Pyramid is:
  • A
    Triangle
  • B
    Square
  • C
    Rectangle
  • ✓
    Any polygon
Answer
Correct option: D.
Any polygon
Any polygon
View full question & answer→
MCQ 1221 Mark
How many dimensions does a point have?
  • A
    $3$
  • B
    $2$
  • ✓
    $0$
  • D
    $1$
Answer
Correct option: C.
$0$
A point has 0 dimensions.
View full question & answer→
MCQ 1231 Mark
The things which are double of the same thing are:
  • ✓
    Equal
  • B
    Unequal
  • C
    Double of the same thing
  • D
    Halves of the same thing
Answer
Correct option: A.
Equal
The things which are double of the same thing are equal.
According to the Euclidian axiom, the things which are double the same thing are equal to each other.
For example, if $2a = 2b$, then $a = b.$
View full question & answer→
MCQ 1241 Mark
The number of dimensions, a solid has:
  • A
    $1$
  • B
    $2$
  • ✓
    $3$
  • D
    $0$
Answer
Correct option: C.
$3$
A solid shape also has a depth. solids by their nature have an inside and an outside separated by a surface. that's why solid is a three-dimensional struture. It has length, breadth, and depth.
View full question & answer→
MCQ 1251 Mark
Euclid stated that if equals are added to equals, the wholes are equal in the form of:
  • ✓
    An axiom.
  • B
    None of these.
  • C
    A definition.
  • D
    A theorem.
Answer
Correct option: A.
An axiom.
This is Euclid's second axiom stating addition of equals. An algebraic version of Euclid’s second axiom would read “if $x = y,$ and if $a = b$, then $x + a = y + b.”$
View full question & answer→
MCQ 1261 Mark
It is known that if $a + b = 4$ then $a + b + c = 4 + c$. The Euclid’s axiom that illustrates this statement is:
  • A
    $I$ axiom.
  • B
    $III$ axiom.
  • ✓
    $II$ axiom.
  • D
    $IV$ axiom.
Answer
Correct option: C.
$II$ axiom.
If equals are added to equals, the whole are equals.
View full question & answer→
MCQ 1281 Mark
The boundaries of solids are:
  • A
    Points.
  • B
    Lines.
  • ✓
    Surfaces.
  • D
    Curves.
Answer
Correct option: C.
Surfaces.
Because solid has both inner and outer part separated by surface.
View full question & answer→
MCQ 1291 Mark
The whole is $.........$ the part.
  • ✓
    Greater than.
  • B
    Lesser than.
  • C
    Equal to.
  • D
    None of these.
Answer
Correct option: A.
Greater than.
According to Euclid's common notions, the whole is greater than the part.
View full question & answer→
MCQ 1301 Mark
The boundaries of solid are called:
  • ✓
    Surfaces
  • B
    Curves
  • C
    Lines
  • D
    Points
Answer
Correct option: A.
Surfaces
Surfaces
View full question & answer→
MCQ 1311 Mark
Euclid stated that all right angles are equal to each other in the form of:
  • ✓
    A postulate
  • B
    An axiom
  • C
    A definition
  • D
    None of these
Answer
Correct option: A.
A postulate
A postulate
View full question & answer→
MCQ 1321 Mark
Euclid stated that all right angles are equal to each other in the form of:
  • A
    An axiom.
  • B
    None of these.
  • C
    A definition.
  • ✓
    A postulate.
Answer
Correct option: D.
A postulate.
Euclid's fourth postulate states that all right angles are equal to one another.
View full question & answer→
MCQ 1331 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.
View full question & answer→
MCQ 1341 Mark
$A$ and $B$ have the same weight. If they gain weight by $3\ kg$, then:
  • A
    Weight of $A <$ Weight of $B$.
  • ✓
    Weight of $A =$ Weight of $B.$
  • C
    Weight of $A >$ Weight of $B.$
  • D
    None of these.
Answer
Correct option: B.
Weight of $A =$ Weight of $B.$
Let the weights of $A$ and $B$ be $x$ kgs. If both of them gain weight by $3$ kgs , their new weight would be ' $x+3$ ' kgs. According to Euclid's axiom if equals are added in equals, then whole are equal. Hence, Weight of $A = Weight of B$.
View full question & answer→
MCQ 1351 Mark
The boundaries of surfaces are:
  • ✓
    Lines.
  • B
    Points.
  • C
    Surfaces.
  • D
    Curves.
Answer
Correct option: A.
Lines.
Because surface has both length and breadth which are lines.
View full question & answer→
MCQ 1361 Mark
There are $...........$ number of Euclid’s Postulates
  • A
    Three
  • B
    Four
  • ✓
    Five
  • D
    Six
Answer
Correct option: C.
Five
Five
View full question & answer→
MCQ 1371 Mark
A statement whose truth can easily be deduced from a theorem is called:
  • A
    Axiom.
  • B
    Postulate.
  • ✓
    Corollary.
  • D
    None of these.
Answer
Correct option: C.
Corollary.
A corollary is a proposition that follows from $($and is often appended to$)$ one already proved.
View full question & answer→
MCQ 1381 Mark
Euclid belongs to:
  • A
    Babylonia.
  • B
    Egypt.
  • C
    Rome.
  • ✓
    Greece.
Answer
Correct option: D.
Greece.
Euclid, sometimes called Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the $''$father of geometry$''$.
View full question & answer→
MCQ 1391 Mark
The number of dimensions, a surface has:
  • A
    $3$
  • B
    $1$
  • ✓
    $2$
  • D
    $0$
Answer
Correct option: C.
$2$
The surface is that which has length and breadth. ($1$ dimension $+ 1$ dimension $= 2$ dimension).
View full question & answer→
MCQ 1401 Mark
If the angle between two lines is $180$ degree, then:
  • ✓
    Lines are parallel to each other
  • B
    Lines are perpendicular to each other
  • C
    Lines are parallel as well as perpendicular
  • D
    None of these
Answer
Correct option: A.
Lines are parallel to each other
If the angle between two lines is $180$ degree, then they are parallel to each other.
View full question & answer→
MCQ 1411 Mark
If the point P lies in between $M$ and $N, C$ is the mid-point of $MP$ then:
  • A
    $CP + CN = MN$
  • ✓
    $MC + CN = MN$
  • C
    $MC + PN = MN$
  • D
    $MP + CP = MN$
Answer
Correct option: B.
$MC + CN = MN$
Since, $P$ lies between $M$ and $N, MN = MP + PN$
Now, $C$ is the mid-point of $MP,$
So, $MP = MC + CP$
$⇒ MN = MC + CP + PN$
$⇒ MN = MC + CN (CP + PN = CN).$
View full question & answer→
MCQ 1421 Mark
The number of dimensions of a solid are:
  • A
    $1$
  • B
    $2$
  • ✓
    $3$
  • D
    $5$
Answer
Correct option: C.
$3$
A solid has $3$ dimensions.
View full question & answer→
MCQ 1431 Mark
Into how many chapters was the famous treatise. The Elements divided by Euclid?
  • A
    $13$
  • B
    $12$
  • ✓
    $9$
  • D
    $11$
Answer
Correct option: C.
$9$
Euclid divided his book 'The Elements' into $13$ chapters.
View full question & answer→
MCQ 1441 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.
View full question & answer→
MCQ 1451 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: a sequence finite or infinite list of numbers
Reason: $1, 2, 3, 4 .........$ is the sequence an infinite sequence of natural no.
  • ✓
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→
MCQ 1481 Mark
How many dimensions does a point have:
  • ✓
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $3$
Answer
Correct option: A.
$0$
A point is an exact location. A fine dot represents a point. So, a point has $0$ dimensions.
View full question & answer→
MCQ 1491 Mark
The line drawn from the center of the circle to any point on its circumference is called:
  • ✓
    Radius
  • B
    Diameter
  • C
    Sector
  • D
    Arc
Answer
Correct option: A.
Radius
Radius
View full question & answer→
MCQ 1501 Mark
Which one of the following statements is true?
  • A
    A point determines always a unique line.
  • ✓
    Three lines are concurrent when they have only one point in common.
  • C
    A ray has two end points.
  • D
    A line has definite length.
Answer
Correct option: B.
Three lines are concurrent when they have only one point in common.
Lines which are concurrent have only one point in common and is called the point of concurrency.
View full question & answer→
Generate Paper FreeAll Introduction to Euclid Geometry topics
M.C.Q - Page 3 - Maths STD 9 Questions - Vidyadip