MCQ 11 Mark
The side faces of a pyramid are:
- ✓Triangles.
- BSquares.
- CTrapeziums.
- DPolygons.
Answer
View full question & answer→Correct option: A.
Triangles.
The side faces of a pyramid are triangles.
Questions
MCQ(1M)
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27 questions · auto-graded multiple-choice test.
MCQ 21 Mark
A pyramid is a solid figure, whose base is:
- AOnly a triangle.
- BOnly a square.
- COnly a rectangle.
- ✓Any polygon.
Answer
View full question & answer→Correct option: D.
Any polygon.
A pyramid is a solid figure, whose base is any polygon.
MCQ 31 Mark
Which of the following is a true statement?
- AOnly a unique line can be drawn through a given point.
- BInfinitely many lines can be drawn through two given points.
- ✓If two circles are equal, then their radii are equal.
- DA line has a definite length.
Answer
View full question & answer→Correct option: C.
If two circles are equal, then their radii are equal.
In option $(a),$ infinite number of line can be drawn to pass through a given point.
So, it is not a true statement.
In option $(b),$ only one line can be drawn to pass through two given points.
So, it is not a true statement.
In option $(c),$ 'If two circles are equal, then their radii are equal' is the true statement.
In option $(d), A$ line has no end points. $A$ line has an indefinite length.
So, it is not a true statement.
So, it is not a true statement.
In option $(b),$ only one line can be drawn to pass through two given points.
So, it is not a true statement.
In option $(c),$ 'If two circles are equal, then their radii are equal' is the true statement.
In option $(d), A$ line has no end points. $A$ line has an indefinite length.
So, it is not a true statement.
MCQ 41 Mark
In ancient India, the shapes of altars used for household rituals were:
- ASquares and rectangles.
- ✓Squares and circles.
- CTriangles and rectangles.
- DTrapeziums and pyramids.
Answer
View full question & answer→Correct option: B.
Squares and circles.
Squares and circular altars were used for household rituals.
Whereas altars having shapes as combinatiotanglens of recs, triangles and trapeziums were used for public worship.
Whereas altars having shapes as combinatiotanglens of recs, triangles and trapeziums were used for public worship.
MCQ 51 Mark
Which of the following needs a proof?
- AAxiom.
- BPostulate.
- CDefinition.
- ✓Theorem.
Answer
View full question & answer→Correct option: D.
Theorem.
A statement that requires a proof is called a theorem.
MCQ 61 Mark
Which of the following is a true statement?
- AThe floor and a wall of a room are parallel planes.
- BThe ceiling and a wall of a room are parallel planes.
- ✓The floor and the ceiling of a room are parallel planes.
- DTwo adjacent walls of a room are parallel planes.
Answer
View full question & answer→Correct option: C.
The floor and the ceiling of a room are parallel planes.
Two lines are said to be parallel, if they have no point in common.
Options $(a), (b)$ and $(d)$ have a common point, hence they are not parallel.
In option $(c),$ the floor and the ceiling of a room are parallel to each other is a true statement.
Options $(a), (b)$ and $(d)$ have a common point, hence they are not parallel.
In option $(c),$ the floor and the ceiling of a room are parallel to each other is a true statement.
MCQ 71 Mark
Euclid stated that 'all right angles are equal to each other', in the form of:
- AA definition.
- ✓An axiom.
- CA postulate.
- DA proof.
Answer
View full question & answer→Correct option: B.
An axiom.
Euclid stated that 'All right angles are equal to each other' in the form of a postulate.
This is Euclid's Postulate $4.$
Note: The answer in the book is option $(a)$.
But if you have a look at the Euclid's postulate, the answer is a postulate.
This is Euclid's Postulate $4.$
Note: The answer in the book is option $(a)$.
But if you have a look at the Euclid's postulate, the answer is a postulate.
MCQ 81 Mark
A point $C$ is said to lie between the points $A$ and $B$ if.
- A$AC = CB.$
- B$AC + CB = AB.$
- ✓Point $A, C$ and $B$ are collinear.
- DNone of these.
Answer
View full question & answer→Correct option: C.
Point $A, C$ and $B$ are collinear.
If direction ratios of three vectors $a, b, c$ are proportional then they are collinear.
MCQ 91 Mark
Which of the following is a false statement?
- AAn infinity number of lines can be drawn to pass through a given point.
- BA unique line can be drawn to pass through two given points.
- ✓$\text{Ray }\overrightarrow{\text{AB}}=\text{ray}\ \overrightarrow{\text{BA}}.$
- DA ray has one end point.
Answer
View full question & answer→Correct option: C.
$\text{Ray }\overrightarrow{\text{AB}}=\text{ray}\ \overrightarrow{\text{BA}}.$
Option $(a)$ is true, since we can pass an infinite number of lines through a given point
Option $(b)$ is true, since a unique line can be drawn to pass through two given points.
Consider option $(c).$
A ray is a line segment that extends indefinitely in one direction as shown below.
$\text{Ray }\overrightarrow{\text{AB}}=\text{ray}\ \overrightarrow{\text{BA}}$ is a false statement since clearly the lines extend indefinitely.
As shown in the above diagram, a ray has only one end $-$ point.
So, option $(d)$ is true.
Hence, the only false statement is option $(c)$.
Option $(b)$ is true, since a unique line can be drawn to pass through two given points.
Consider option $(c).$
A ray is a line segment that extends indefinitely in one direction as shown below.
$\text{Ray }\overrightarrow{\text{AB}}=\text{ray}\ \overrightarrow{\text{BA}}$ is a false statement since clearly the lines extend indefinitely.
As shown in the above diagram, a ray has only one end $-$ point.
So, option $(d)$ is true.
Hence, the only false statement is option $(c)$.
MCQ 101 Mark
Boundaries of solids are:
- ALines.
- BCurves.
- ✓Surfaces.
- DNone of these.
Answer
View full question & answer→Correct option: C.
Surfaces.
Boundaries of solids are surfaces.
MCQ 111 Mark
The number of planes passing through $3$ non $-$ collinear points is:
- A$4$
- B$3$
- C$2$
- ✓$1$
Answer
View full question & answer→Correct option: D.
$1$
The number of planes passing through three non $ -$ collinear points is $1.$
MCQ 121 Mark
A point $C$ is called the mid $-$ point of a line segment $\overrightarrow{\text{AB}}$ if.
- A$C$ is an interior point of $AB$.
- B$AC = CB.$
- ✓$C$ is an interior point of $AB$ such that $\overrightarrow{\text{AC}}=\overrightarrow{\text{CB}}.$
- D$AC + CB = AB.$
Answer
View full question & answer→Correct option: C.
$C$ is an interior point of $AB$ such that $\overrightarrow{\text{AC}}=\overrightarrow{\text{CB}}.$
A point $C$ is called the midpoint of a line segment $\overline{\text{AB}},$ if $C$ is an interior point of $AB$ such that $\overrightarrow{\text{AC}}=\overrightarrow{\text{CB}}.$
MCQ 131 Mark
Axioms are assumed:
- ADefinitions.
- BTheorems.
- CUniversal truths specific to geometry.
- ✓Universal truths in all branches of mathematics.
Answer
View full question & answer→Correct option: D.
Universal truths in all branches of mathematics.
Axioms are assumed as universal truths in all branches of mathematics because they are taken for granted, without proof.
MCQ 141 Mark
In Indus Valley Civilisation $($about $BC\ 3000)$, the bricks used for construction work were having dimensions in the ratio of:
- A$\{5 : 3 : 2\}$
- ✓$\{4 : 2 : 1\}$
- C$\{4 : 3 : 2\}$
- D$\{6 : 4 : 2\}$
Answer
View full question & answer→Correct option: B.
$\{4 : 2 : 1\}$
In Indus Valley Civilization $($about $300\ BC)$ the bricks used for construction work were having dimensions in the ratio is $\{4 : 2 : 1\}.$
MCQ 151 Mark
Into how many chapters was the famous treatise, 'The Elements' divided by Euclid?
- ✓$13$
- B$12$
- C$11$
- D$9$
Answer
View full question & answer→Correct option: A.
$13$
The famous treatise 'The Elements' was divided into $13$ chapters by Euclid.
MCQ 161 Mark
Boundaries of surfaces are:
- ALines.
- ✓Curves.
- CPolygons.
- DNone of these.
Answer
View full question & answer→Correct option: B.
Curves.
Boundaries of surfaces are curves.
MCQ 171 Mark
$A$ is of the same age as $B$ and $C$ is of the same age as $B$. Euclid's which axiom illustrates the relative ages of $A$ and $C$?
- ✓Frist axiom.
- BSecond exiom.
- CThird axiom.
- DFourth axiom.
Answer
View full question & answer→Correct option: A.
Frist axiom.
Euclid's first axiom states that 'Things which are equal to the same thing are equal to one another'.
That is,
$A\ 's$ age $= B\ 's$ age and $C\ 's$ age $= B\ '$ age
$\Rightarrow A\ 's$ age $= C\ 's$ age
That is,
$A\ 's$ age $= B\ 's$ age and $C\ 's$ age $= B\ '$ age
$\Rightarrow A\ 's$ age $= C\ 's$ age
MCQ 181 Mark
The number of dimensions of a surface are:
- A$1$
- ✓$2$
- C$3$
- D$0$
Answer
View full question & answer→Correct option: B.
$2$
A surface has $2$ dimensions.
MCQ 191 Mark
Euclid belongs to the country:
- AIndia.
- ✓Greece.
- CJapan.
- DEgypt.
Answer
View full question & answer→Correct option: B.
Greece.
Euclid belongs to the country, Greece.
MCQ 201 Mark
The number of dimensions of a solid are:
- A$1$
- B$2$
- ✓$3$
- D$5$
Answer
View full question & answer→Correct option: C.
$3$
A solid has $3$ dimensions.
MCQ 211 Mark
Pythagoras was a student of:
- AEuclid.
- ✓Thales.
- CArchimedes.
- DBhaskara.
Answer
View full question & answer→Correct option: B.
Thales.
Pythagoras was a student of Thales.
MCQ 221 Mark
How many dimensions does a point have:
- ✓$0$
- B$1$
- C$2$
- D$3$
Answer
View full question & answer→Correct option: A.
$0$
A point is an exact location.
A fine dot represents a point.
So, a point has $0$ dimensions.
A fine dot represents a point.
So, a point has $0$ dimensions.
MCQ 231 Mark
Thales belongs to the country:
- AIndia.
- BEgypt.
- ✓Greece.
- DBabylonia.
Answer
View full question & answer→Correct option: C.
Greece.
Thales belongs to the country, Greece.
MCQ 241 Mark
The number of interwoven isosceles triangles in a Sriyantra is:
- AFive.
- BSeven.
- ✓Nine.
- DEleven.
Answer
View full question & answer→Correct option: C.
Nine.
The Sriyantra consists of nine interwoven isosceles triangles.
MCQ 251 Mark
In ancient India, altars with combination of shapes like rectangles, triangles and trapeziums were used for:
- AHousehold rituals.
- ✓Public rituals.
- CBoth $(a)$ and $(b)$.
- DNone of $(a), (b)$ and $(c)$.
Answer
View full question & answer→Correct option: B.
Public rituals.
In ancient India, altars with combination of shapes like rectangles, triangles and trapeziums were used for public rituals.
MCQ 261 Mark
Euclid's which axiom illustrates the statement that when $x + y = 15$ then $x + y + 2 = 15 + z?$
- AFrist.
- ✓Second.
- CThird.
- DFourth.
Answer
View full question & answer→Correct option: B.
Second.
Euclid's second axiom states that 'If equals are added to equals, the wholes are equal'.
Hence, when $x + y = 15, $ then $x + y + z = 15 + z.$
Hence, when $x + y = 15, $ then $x + y + z = 15 + z.$
MCQ 271 Mark
The statement that 'the lines are parallel if they do not intersect' is in the form of:
- ✓A definition.
- BAn axiom.
- CA postulate.
- DA theorem.
Answer
View full question & answer→Correct option: A.
A definition.
Lines are parallel if they do not intersect' is started in the form of a definition.