Questions · Page 1 of 4

M.C.Q. [1 Marks Each]

Take a timed test

50 questions · auto-graded multiple-choice test.

MCQ 11 Mark
A square has:
  • A
    All sides equal and diagonals unequal.
  • All sides equal and diagonals equal.
  • C
    All sides unequal and diagonals equal.
  • D
    None of these.
Answer
Correct option: B.
All sides equal and diagonals equal.
View full question & answer
MCQ 21 Mark
Define Parallel lines:
  • A
    If two lines are such that they meet one another on producing from both the sides, then they are said to be parallel to each other.
  • B
    If two lines are such that they meet one another on producing from one of the sides, then they are said to be parallel to each other.
  • If two lines are such that they never meet one another on producing from both the sides, then they are said to be parallel to each other.
  • D
    All of the options
Answer
Correct option: C.
If two lines are such that they never meet one another on producing from both the sides, then they are said to be parallel to each other.
View full question & answer
MCQ 31 Mark
The figure formed by two rays with the same initial point is known as:
  • A
    A ray.
  • B
    A line.
  • An angle.
  • D
    A line segment.
Answer
Correct option: C.
An angle.
View full question & answer
MCQ 41 Mark
The number of sides of a regular polygon, if each of its interior angles is $135^\circ $ is given by:
  • A
    $4$
  • B
    $6$
  • $8$
  • D
    $10$
Answer
Correct option: C.
$8$
 Angle of a regular polygon is given by:
$\frac{\text{n}-2}{\text{n}}\times180=135$ where n is the number of sides of the polygon.
Therefore, $180n - 360 = 135n$
$n = 8 $sides
View full question & answer
MCQ 51 Mark
An angle of measure $240^\circ $ is:
  • A
    An acute angle.
  • B
    An obtuse angle.
  • C
    A complete angl
  • None of the given options are correct.
Answer
Correct option: D.
None of the given options are correct.
 An angle of measure $240^\circ $ is called a reflex angle.
View full question & answer
MCQ 61 Mark
A quadrilateral whose opposite sides are parallel is called:
  • A
    A rhombus.
  • B
    A kite.
  • C
    A trapezium.
  • A parallelogram.
Answer
Correct option: D.
A parallelogram.

 A parallelogram is a quadrilateral whose opposites sides are parallel.

View full question & answer
MCQ 71 Mark
An angle of measure $360^\circ $ is called:
  • A
    A zero angle.
  • B
    An straight angle.
  • C
    A reflex angle.
  • A complete angle.
Answer
Correct option: D.
A complete angle.
  An angle of measure $360^\circ $ is called a complete angle.
View full question & answer
MCQ 81 Mark
A quadrilateral whose each angle is a right angle is a:
  • A
    Square.
  • Rectangle.
  • C
    Rhombus.
  • D
    Parallelogram.
Answer
Correct option: B.
Rectangle.

 Both a square and a rectangle's angles are right angles, but the other necessary condition for a quadrilateral to be a square is that its four sides must be equal.

View full question & answer
MCQ 91 Mark
Which of the following has a definite length?
  • A
    Ray
  • B
    Straight line
  • Line segment
  • D
    None
Answer
Correct option: C.
Line segment
A line segment has two endpoints. A line has no end point. A line - segment has a definite length. But a line does not have definite length.
View full question & answer
MCQ 101 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Choose the false statement:
  • A
    Line $\overleftrightarrow{\text{AB}}$ is the same as line $\overleftrightarrow{\text{BA}}$
  • Ray $\overleftrightarrow{\text{AB}}$ is the same as ray $\overrightarrow{\text{BA}}$
  • C
    Line segment $\overline{\text{AB}}$ is the same as the line segment $\overline{\text{BA}}$
  • D
    None of these.
Answer
Correct option: B.
Ray $\overleftrightarrow{\text{AB}}$ is the same as ray $\overrightarrow{\text{BA}}$

 This is because the initial points in these rays are $A$ and $B,$ respectively, and are extended endlessly towards $B$ and $A,$ respectively.

View full question & answer
MCQ 111 Mark
With the angles given below, in which case the construction of triangle is possible$?$
  • A
    $30^\circ , 60^\circ , 70^\circ $
  • $50^\circ , 70^\circ , 60^\circ $
  • C
    $40^\circ , 80^\circ , 65^\circ $
  • D
    $72^\circ , 28^\circ , 90^\circ $
Answer
Correct option: B.
$50^\circ , 70^\circ , 60^\circ $
 $\therefore$ Sum of three angles of a triangle is $180^\circ .$
View full question & answer
MCQ 121 Mark
If the diagonals of a quadrilateral bisect each other at right angle, then the quadrillateral is a:
  • A
    Parallelogram.
  • B
    Rectangle.
  • Rhombus.
  • D
    Kite.
Answer
Correct option: C.
Rhombus.
Rhombus.
View full question & answer
MCQ 131 Mark
A regular polygon with $10$ sides is known as?
  • A
    Heptagon
  • Decagon
  • C
    Septagon
  • D
    Octagon
Answer
Correct option: B.
Decagon

A $10$ sided figure is called Decagon.

View full question & answer
MCQ 141 Mark
Which of the following polygon has no diagonal$?$
  • A
    Quadrilateral
  • B
    Heptagon
  • Triangle
  • D
    Pentagon
Answer
Correct option: C.
Triangle

A diagonal is a line segment joining two opposite vertices. Since we cannot have diagonal to the vertex of either side, as it would lay on top of a side. Hence triangle being only $3$ sides, each vertex joining vertex is its own side. So there are no diagonals in a triangle.

View full question & answer
MCQ 151 Mark
The number of degrees in $\frac32$ right angles is:
  • A
    $180^\circ $
  • B
    $360^\circ $
  • C
    $270^\circ $
  • $90^\circ$
Answer
Correct option: D.
$90^\circ$

The correct answer is $135^\circ $
Since, $1$ right angle $= 90^\circ $
Therefore, $\frac{3}{2}$ right angles $=\frac32\times90^\circ$

View full question & answer
MCQ 161 Mark
The length of a line is:
  • A
    Distance between the end points
  • B
    Distance between any two points on the line
  • C
    $0$
  • Not Defined
Answer
Correct option: D.
Not Defined

A line can extend infinitely from both directions, so its length is Not defined.

View full question & answer
MCQ 171 Mark
In how many maximum number of points can two distinct lines intersect$?$
  • A
    $3$
  • B
    Infinite
  • C
    $0$
  • $1$
Answer
Correct option: D.
$1$
Any two distinct lines can intersect at $1$ point only.
View full question & answer
MCQ 181 Mark
The diagonals of a quadrilateral bisect each other. This quadrilateral is a:
  • Rectangle.
  • B
    Kite.
  • C
    Trapezium.
  • D
    None os these.
Answer
Correct option: A.
Rectangle.

The diagonals of a parallelogram bisect each other and Rectangle is a parallelogram.

View full question & answer
MCQ 191 Mark
How many circle can be drawn to pass through two given points$?$
  • A
    $1$
  • B
    $2$
  • C
    $0$
  • As many as possible.
Answer
Correct option: D.
As many as possible.

Three non-collinear points define one specific circle. From any two given points, infinite number of circles can be drawn.

View full question & answer
MCQ 201 Mark
Line has __________ fixed length:
  • No
  • B
    Some
  • C
    Always
  • D
    None of These
Answer
Correct option: A.
No

Since, the line has no end points, so the length of a line cannot be measured. Hence, line has no fixed length.

View full question & answer
MCQ 211 Mark
Which term of geometry would you associate with an edge of your book?
  • A
    A point
  • A line segment
  • C
    A plane
  • D
    A ray
Answer
Correct option: B.
A line segment

Edge of a book gives us a line segment.

View full question & answer
MCQ 221 Mark
Square and pentagon are examples of $.................$ polygons
  • A
    Curved
  • B
    Irregular
  • Regular
  • D
    None of the above
Answer
Correct option: C.
Regular
View full question & answer
MCQ 231 Mark
An isosceles trapezium has:
  • A
    Equal parallel sides.
  • Equal non parallel sides.
  • C
    Equal opposite sides.
  • D
    None of these.
Answer
Correct option: B.
Equal non parallel sides.

The non-parallel sides of an isosceles trapezium are equal.

View full question & answer
MCQ 241 Mark
A terminating line can be produced infinitely on both sides.
  • True
  • B
    False
  • C
    Ambiguous
  • D
    Data Insufficient
Answer
Correct option: A.
True
Their is no length of terminating line because itcan be produced infinitely on both sides.
View full question & answer
MCQ 251 Mark
Which of the following is $NOT$ a property of parallel lines?
  • A
    Parallel lines dont intersect each other.
  • B
    They dont meet each other at any point.
  • C
    They are equidistant at every point.
  • They together form an angle.
Answer
Correct option: D.
They together form an angle.

Parallel lines are those which never intersects.Option $(A), (B), (C)$ are property of parallel lines. Since they dont intersect each other so they can never form an angle.

View full question & answer
MCQ 261 Mark
What is a line segment?
  • A
    A straight path having no end points
  • A straight path having two end points
  • C
    A straight path having one end point
  • D
    A path having end points
Answer
Correct option: B.
A straight path having two end points
A line segment is a straight path having two end points.It is a part of the line having two distinct end points.
View full question & answer
MCQ 271 Mark
A line segment $RS$ is symbolically written as:
  • A
    $\text{RS}$
  • B
    $\overleftrightarrow{\text{RS}}$
  • C
    $\overrightarrow{\text{AB}}$
  • $\overline{\text{RS}}$
Answer
Correct option: D.
$\overline{\text{RS}}$

The symbol of a line-segment is
Hence, a line segment $RS$ is symbolically written as $\overline{\text{RS}}$

View full question & answer
MCQ 281 Mark
How many circles can be drawn to pass through three non$-$collinear points$?$
  • $1$
  • B
    $2$
  • C
    $0$
  • D
    As many as possible.
Answer
Correct option: A.
$1$
View full question & answer
MCQ 291 Mark
A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides is called a:
  • A
    Trapezium.
  • B
    Parallelogram.
  • Kite.
  • D
    rectangle.
Answer
Correct option: C.
Kite.
View full question & answer
MCQ 301 Mark
An angle of measure $90^\circ $ is called:
  • A
    A complete angle.
  • A right angle.
  • C
    A straight angle.
  • D
    A reflex angle.
Answer
Correct option: B.
A right angle.
View full question & answer
MCQ 311 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Two points in a plane determine:
  • Exactly one line segment.
  • B
    Exactly two line segments.
  • C
    An infinite number of line segments.
  • D
    None of these.
Answer
Correct option: A.
Exactly one line segment.

Two points in a plane determine exactly one line segment with those two points as its end points.

View full question & answer
MCQ 321 Mark
A quadrilateral having one and only one pair of parallel sides is called:
  • A
    A parallelogram.
  • B
    A kite.
  • C
    A rhombus.
  • A trapezium.
Answer
Correct option: D.
A trapezium.

A trapezium is a quadrilateral that has only one pair of parallel sides.

View full question & answer
MCQ 331 Mark
In an isosceles $\triangle\text{ABC}$, the bisectors of $\angle\text{A}$ and $\angle\text{C}$ meet at a point $O.$ If $\angle\text{A} = 40^\circ , $ then $\angle\text{BOC} = ?$
  • $110^\circ$
  • B
    $70^\circ$
  • C
    $130^\circ$
  • D
    $150^\circ$
Answer
Correct option: A.
$110^\circ$

In an isosceles $\triangle\text{ABC}$, $\angle\text{B} = \angle\text{C}$ and bisector of $\angle\text{B}$ and $\angle\text{C}$ meet at $O$ and $\angle\text{A} = 40^\circ $

$\therefore\angle\text{B}=\angle\text{C}=\frac{\Big(180^\circ-40^\circ\Big)}{2}$
$=\frac{140^\circ}{2}=70^\circ$
$\therefore\frac{1}{2}\angle\text{B}=\frac{1}{2}\angle\text{C}=\frac{70^\circ}{2}=35^\circ$
Now in $\triangle\text{OBC}$
$\angle\text{BOC}+\angle\text{OBC}+\angle\text{OCB}=180^\circ$
$\angle\text{BOC}+\frac{1}{2}\angle\text{B}+\frac{1}{2}\angle\text{C}=180^\circ$
$\Rightarrow\angle\text{BOC}+35^\circ+35^\circ=180^\circ$
$\Rightarrow\angle\text{BOC}=180^\circ-70^\circ=110^\circ$

View full question & answer
MCQ 341 Mark
A closed figure is called a polygon if it has:
  • More than $2$ line segments
  • B
    More than $1$ line segments
  • C
    Less than $10$ line segments
  • D
    Less than $2$ line segments
Answer
Correct option: A.
More than $2$ line segments

A polygon is one which is made of straight line segments and encloses a single area that is bounded by them.
For which we need more than $2$ line segments

View full question & answer
MCQ 351 Mark
The total number of diameters of a circle is:
  • A
    $1$
  • B
    $2$
  • C
    $4$
  • Uncountable number.
Answer
Correct option: D.
Uncountable number.
The number of points in a circle is infinite. So, the number of diametrically opposite points in a circle is also infinite. Hence, the number of diameters of a circle is uncountable.
View full question & answer
MCQ 361 Mark
Mark $(\checkmark)$ against the correct answer in the following:
If there are $36$ spokes in a bicycle wheel, then the angle between a pair of adjacent spokes is:
  • A
    $15^\circ $
  • B
    $12^\circ $
  • $10^\circ$
  • D
    $18^\circ$
Answer
Correct option: C.
$10^\circ$

$36$ spokes has $360^\circ .$
Angle between two adjacent spokes.
$=\frac{360^\circ}{36^\circ}=10^\circ$

View full question & answer
MCQ 371 Mark
Mark $(\checkmark)$ against the correct answer in the following:
An angle measuring $90^\circ $ is called:
  • A
    A straight angle.
  • A right angle.
  • C
    A complete angle.
  • D
    A reflex angle.
Answer
Correct option: B.
A right angle.

An angle measuring $90^\circ $ is called a right angle.

View full question & answer
MCQ 381 Mark
If bicycle wheel has $36$ spokes, then the angle between a pair of adjacent spokes is:
  • $10º$
  • B
    $15º$
  • C
    $20º$
  • D
    $12º$
Answer
Correct option: A.
$10º$
The complete angle of bicycle wheel measures is $360^\circ.$
Therefore, the angle between two adjacent spokes of the containing $36$ spokes $=\frac{360^\circ}{36^\circ}=10^\circ.$
View full question & answer
MCQ 391 Mark
Line l is parallel to line m Symboli cally above statement is written as:
  • $\text{l}\perp\text{m}$
  • B
    $\text{l}\parallel\text{m}$
  • C
    $\text{l}=\text{m}$
  • D
    $\text{None}$
Answer
Correct option: A.
$\text{l}\perp\text{m}$
$\text{l}\parallel\text{m}$
View full question & answer
MCQ 401 Mark
Given a point on the plane, one can draw.
  • A
    Unique
  • B
    Two
  • C
    Finite number of
  • Infinitely many lines through that point
Answer
Correct option: D.
Infinitely many lines through that point
Given a point on the plane one can draw infinitely many lines through that point
View full question & answer
MCQ 411 Mark
How many parts does a triangle have?
  • A
    $2$
  • B
    $3$
  • $6$
  • D
    $9$
Answer
Correct option: C.
$6$
$\therefore$ It has three sides and three angles i.e. six.
View full question & answer
MCQ 421 Mark
The instruments used to construct a line segment are.
  • Compass and scale
  • B
    Divider and protractor
  • C
    Set square and scale
  • D
    None
Answer
Correct option: A.
Compass and scale
The instruments used to construct a line segment are Compass and scale
View full question & answer
MCQ 431 Mark
Instruments used to bisect a given line segment:
  • A
    Scale and protractor
  • Scale and compasses
  • C
    Scale and set-square
  • D
    Scale
Answer
Correct option: B.
Scale and compasses

Instruments used to bisect a given line segments are scale and compass. A scale is used to draw the line segment, while a compass helps bisect it.

View full question & answer
MCQ 441 Mark
One end of a ____ goes to infinity.
  • A
    Line
  • B
    Line segment
  • Ray
  • D
    Angle
Answer
Correct option: C.
Ray
Ray is a line segment whose one end is fixed and the other end goes to infinity.
View full question & answer
MCQ 451 Mark
The common end point where the two rays meet is called.
  • Vertex
  • B
    $O$
  • C
    Arms
  • D
    None of these
Answer
Correct option: A.
Vertex
The common end point where the two rays meet is called a vertex..
View full question & answer
MCQ 461 Mark
Fixed point in the circle is called _____ of the circle:
  • A
    Radius
  • Centre
  • C
    Diameter
  • D
    None
Answer
Correct option: B.
Centre
A circle is the set of all those point in a plane whose distance from a fixed point remains constant. Then, this fixed point is called the centre of the circle.
View full question & answer
MCQ 471 Mark
If each interior angle of a regular polygon is $10$ times its exterior angle, then the number of sides of polygon is.
  • A
    $12$
  • $18$
  • C
    $22$
  • D
    $34$
Answer
Correct option: B.
$18$
 Sum of interior angles of a regular polygon of n sides $= (n - 2)180$ Sum of exterior angles of a regular polygon is always $360$ degrees
Given interior  angle $= 10\ \times$ exterior angle
$\Rightarrow (n - 2)180 = 10 \times 360$
$\Rightarrow n - 2 = 20$
$\Rightarrow n = 22$
$\therefore$ The number of sides of the polygon is $22$
View full question & answer
MCQ 481 Mark
Mark $(\checkmark)$ against the correct answer in the following:
An angle measuring $180^\circ $ is called:
  • A
    A complete angle.
  • B
    A reflex angle.
  • A straight angle.
  • D
    None of these.
Answer
Correct option: C.
A straight angle.

A straight angle has $180^\circ .$

View full question & answer
MCQ 491 Mark
A polygon has _____ number of angles as sides:
  • A
    Alternate
  • B
    Different
  • C
    Unequal
  • Equal
Answer
Correct option: D.
Equal

The number of line segments in a polygon is same as the number of angles.

View full question & answer
MCQ 501 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{3}{2}$ right angles $= ?$
  • A
    $115^\circ $
  • $135^\circ $
  • C
    $270^\circ $
  • D
    $230^\circ $
Answer
Correct option: B.
$135^\circ $
$\frac{3}{2}$ of a right angle $=\frac{3}{2}\times90^\circ=135^\circ$ as $1$ right angle $= 90^\circ .$
View full question & answer