MCQ 11 Mark
Write the letters of the word $MATHEMATICS$ which have no line of symmetry.
- ✓$S$
- B$M$
- C$E$
- D$Y$
Answer
View full question & answer→Correct option: A.
$S$
Letter $S$ in the word $MATHEATICS$ has no line symmetry.
Questions · Page 1 of 4
M.C.Q. [1 Marks Each]
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MCQ 21 Mark
State for $T$ true and $F$ for false.
$(i)$ Number $0$ has both rotational and line of Symmetry.
$(ii)$ A regular polygon of $n$ sides has $2n$ lines of symmetry.
$(iii)$ A square has four lines of symmetry and rotational symmetry of order $2.$
$(iv)$ A circle has finite number of lines of symmetry.
$(i)$ Number $0$ has both rotational and line of Symmetry.
$(ii)$ A regular polygon of $n$ sides has $2n$ lines of symmetry.
$(iii)$ A square has four lines of symmetry and rotational symmetry of order $2.$
$(iv)$ A circle has finite number of lines of symmetry.
- ✓$\text{T F F F}$
- B$\text{T F T F}$
- C$\text{F T F T}$
- D$\text{F T T T}$
Answer
View full question & answer→Correct option: A.
$\text{T F F F}$
$\rightarrow 0$ has both rotational and line symmetry.
$\rightarrow $ Regular polygon of $nn$ sides have $nn$ lines of symmetry.
$\rightarrow $ Square has four lines of symmetry and rotational symmetry of order $4$.
$\rightarrow $ Circle has infinite number of lines of symmetry.
$\rightarrow $ Regular polygon of $nn$ sides have $nn$ lines of symmetry.
$\rightarrow $ Square has four lines of symmetry and rotational symmetry of order $4$.
$\rightarrow $ Circle has infinite number of lines of symmetry.
MCQ 31 Mark
State the number of lines of symmetry for a parallelogram.
- ✓$0$
- B$1$
- C$2$
- DNone of these
Answer
View full question & answer→Correct option: A.
$0$
There is no line about which the figure may be folded.
MCQ 41 Mark
How many lines of symmetries are there in rectangle?
- ✓$2$
- B$1$
- C$0$
- DNone of these
Answer
View full question & answer→Correct option: A.
$2$
$2$
MCQ 51 Mark
Tick $(\checkmark)$ the correct answer.
square has:
square has:
- AOne line of symmetry.
- BTwo lines of symmetry.
- CThree lines of symmetry.
- ✓Four lines of symmetry.
Answer
View full question & answer→Correct option: D.
Four lines of symmetry.
MCQ 61 Mark
The order of rotational symmetry of a ceiling fan with $3$ blades is:
- A$2$
- ✓$3$
- C$4$
- D$6$
Answer
View full question & answer→Correct option: B.
$3$
The order of rotational symmetry of a ceiling fan with three blades is three $3$.
MCQ 71 Mark
Plot the point P$(3, 4)$ on the graph paper and rotate it through $90^\circ $ in anti - clockwise direction, about the origin. Find the new position of $P$.
- ✓$P′(-3, 4)$
- B$P′(3, -4)$
- C$P′(3, 4)$
- D$P′(-3, -4)$
Answer
View full question & answer→Correct option: A.
$P′(-3, 4)$
Point $P$ is lie in$1^{st}$ quadrant.
Now rotate point $P$ through $90°$ in anti - clockwise direction oror rotate coordinate axis through $90°$ in clockwise direction.
After rotation , point $P$ will lie in $2$nd quadrant ,hence coordinate of $P$ will become $(-3, 4).$
MCQ 81 Mark
State the number of lines of symmetry for a square.
- A$2$
- B$3$
- ✓$4$
- DNone of these
Answer
View full question & answer→Correct option: C.
$4$
Square has a rotational symmetry of order $4$.
MCQ 91 Mark
A square has _____ line of symmetry.
- A$2$
- B$3$
- ✓$4$
- D$6$
Answer
View full question & answer→Correct option: C.
$4$
A square has $4$ line of symmetry as shown in the figure:
MCQ 101 Mark
After rotating by $60^\circ $ about a centre, a figure looks exactly the same as at its original position. At what other angle will this happen for the figure?
- ✓$120^\circ $
- B$100^\circ $
- C$150^\circ $
- D$90^\circ $
Answer
View full question & answer→Correct option: A.
$120^\circ $
It can be observed that if a figure looks symmetrical on rotating by 60°, then it will also look symmetrical on rotating by multiples of $60^\circ .$
i.e., $120∘, 180^\circ , 240^\circ $ and $360^\circ $.
i.e., $120∘, 180^\circ , 240^\circ $ and $360^\circ $.
MCQ 111 Mark
The angle by which the object rotates is the:
- ACentre of rotation
- ✓Angle of rotation
- CA rotational Symmetry
- DNone of these
Answer
View full question & answer→Correct option: B.
Angle of rotation
The angle by which the object rotates is the angle of rotation.
MCQ 121 Mark
Number of lines of symmetry a triangle does not have:
- A$3$
- B$1$
- C$0$
- ✓$2$
Answer
View full question & answer→Correct option: D.
$2$
$2$
MCQ 131 Mark
Which of the following has both horizontal as well as vertical line of symmetry?
- ✓$H$
- B$S$
- C$V$
- D$A$
Answer
View full question & answer→Correct option: A.
$H$
$H$
MCQ 141 Mark
The mirror image of $‘W’$, when the mirror is placed vertically:
- A$M$
- B$V$
- ✓$W$
- D$U$
Answer
View full question & answer→Correct option: C.
$W$
The mirror image of $W$, when the mirror is placed vertically is $W$ as shown in the figure:
MCQ 151 Mark
When a right triangle of area $3$ is rotated $360^\circ $ about its shorter leg, the solid that results has a volume of $30$. Calculate the volume of the solid if the same right triangle is rotated about its longer leg.
- A$0.99$
- ✓$7.90$
- C$8.88$
- D$31.42$
Answer
View full question & answer→Correct option: B.
$7.90$
Let the length of shorter leg be hh, length of longer leg be $k$, volume of resulting solid is $30$.
The resulting solid is cone, so volume is $\frac{1}{3}\times\pi\text{k}^2\text{h}=30$
Area of triangle is $\frac{1}{2}\times\text{h}\text{k}=3,$ which implies $hk = 6$
which gives $\frac{1}{3}\times\pi6\text{k}=30,$ $\text{k}=\frac{15}{\pi}$
Volume when rotated with longer leg is
$\frac{1}{3}\times\pi\text{h}^2\text{k}=2\pi\text{h}$
$=\frac{2\pi6}{\text{k}}=\frac{12\pi}{15}\times\pi=7.9$
The resulting solid is cone, so volume is $\frac{1}{3}\times\pi\text{k}^2\text{h}=30$
Area of triangle is $\frac{1}{2}\times\text{h}\text{k}=3,$ which implies $hk = 6$
which gives $\frac{1}{3}\times\pi6\text{k}=30,$ $\text{k}=\frac{15}{\pi}$
Volume when rotated with longer leg is
$\frac{1}{3}\times\pi\text{h}^2\text{k}=2\pi\text{h}$
$=\frac{2\pi6}{\text{k}}=\frac{12\pi}{15}\times\pi=7.9$
MCQ 161 Mark
Total number of edges in a cylinder is:
- A$0$
- B$1$
- ✓$2$
- D$3$
Answer
View full question & answer→Correct option: C.
$2$
A cylinder has only $2$ edges as shown in the figure:
MCQ 171 Mark
The order of rotational symmetry of an equilateral triangle is:
- A$0$
- B$1$
- C$2$
- ✓$3$
Answer
View full question & answer→Correct option: D.
$3$
The order of rotational symmetry of an equilateral triangle is $3$ i.e., $120^\circ, 240^\circ,$ and $360^\circ.$
Hence, the correct answer is option $(d)$.
Hence, the correct answer is option $(d)$.
MCQ 181 Mark
The number of lines of symmetry of an equilateral triangle is:
- A$1$
- B$2$
- ✓$3$
- D$0$
Answer
View full question & answer→Correct option: C.
$3$
The number of lines of symmetry of an equilateral triangle is $3$:
Hence, the correct answer is option $(c)$.
Hence, the correct answer is option $(c)$.
MCQ 191 Mark
Lead is the axial advance of a helix or screw during one complete turn $(360)$. If a screw is $2.5$ inches long and has a lead of $0.125$ inch, calculate the number of turns would get it all the way into a piece of wood?
- A$5$
- B$10$
- ✓$20$
- D$25$
Answer
View full question & answer→Correct option: C.
$20$
the number of turns would get it all the way into a piece of wood.
$\text{n}=\frac{\text{n}_\text{s}\text{crew}}{\text{n}_1\text{ead}}=\frac{2.5}{0.125}=20$
$\text{n}=\frac{\text{n}_\text{s}\text{crew}}{\text{n}_1\text{ead}}=\frac{2.5}{0.125}=20$
MCQ 201 Mark
All faces of pyramid are always:
- ATriangular
- BRectangular
- CCongruent
- ✓None of these
Answer
View full question & answer→Correct option: D.
None of these
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
Each base edge and apex form a triangle called a lateral face.
It is a conic solid with the polygonal base.
A pyramid with an $n$ - sided base has $n + 1$ vertices, $n + 1$ faces, and $2n$ edges.
All pyramids are self - dual.
MCQ 211 Mark
The digit having only one line of symmetry is ______.
- A$0$
- ✓$3$
- C$5$
- D$9$
Answer
View full question & answer→Correct option: B.
$3$
Symmetry is the property of shapes which when flipped looks identical to it's original shape.
A line of symmetry is a line that divides the given shape into identical parts.
$0$ has two lines of symmetry. It is symmetrical over both horizontal and vertical axis.
$3$ has one line of symmetry. Remaining numbers do not have any lines of symmetry.
A line of symmetry is a line that divides the given shape into identical parts.
$0$ has two lines of symmetry. It is symmetrical over both horizontal and vertical axis.
$3$ has one line of symmetry. Remaining numbers do not have any lines of symmetry.
MCQ 221 Mark
State the number of lines of symmetry for an equilateral triangle.
- ✓$3$
- B$0$
- C$1$
- DNone of these
Answer
View full question & answer→Correct option: A.
$3$
As there are three vertex in a triangle.
MCQ 231 Mark
A rectangle has rotational symmetry of order:
- A$1$
- B$2$
- C$3$
- ✓$4$
Answer
View full question & answer→Correct option: D.
$4$
A rectangle has order of rotational symmetry of $2$ i.e., $180^\circ$ and $360^\circ$
Hence, the correct answer is option $(d)$.
Hence, the correct answer is option $(d)$.
MCQ 241 Mark
A regular pentagon has ____ lines of symmetry.
- A$3$
- B$4$
- ✓$5$
- D$6$
Answer
View full question & answer→Correct option: C.
$5$
A regular pentagon has 5 lines of symmetry as shown in the figure:
MCQ 251 Mark
A regular hexagon is:
- ✓Regular
- BIrregular
- CEither regular or irregular
- DNeither regular nor irregular
Answer
View full question & answer→Correct option: A.
Regular
A regular hexagon has all its sides equal and each of its angles measures $120$ degrees.
So, it is regular.
MCQ 261 Mark
Which of the following letters does not have the vertical line of symmetry:
- A$M$
- B$H$
- ✓$E$
- D$V$
Answer
View full question & answer→Correct option: C.
$E$
$E$
MCQ 271 Mark
A solid that has only one vertex is called:
- APyramid
- BCube
- ✓Cone
- DCylinder
Answer
View full question & answer→Correct option: C.
Cone
A cube has $7$ vertices.
A cylinder has no vertex.
A pyramid has $5$ vertices.
A cone has only one vertex as shown in the figure:
A cylinder has no vertex.
A pyramid has $5$ vertices.
A cone has only one vertex as shown in the figure:
MCQ 281 Mark
Out of the following, which is a $3 - D$ figure.
- ASquare
- ✓Sphere
- CTriangle
- DCircle
Answer
View full question & answer→Correct option: B.
Sphere
Sphere is a $3 - D$ figure.
Rest of all are $2 - D$ figures.
Rest of all are $2 - D$ figures.
MCQ 291 Mark
The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is ------.
- A$0$
- B$1$
- ✓$4$
- D$6$
Answer
View full question & answer→Correct option: C.
$4$
We know that in $A$ there is only vertical symmetry and in $B$ there is only horizontal symmetry.
Only $H, I, O, X$ have both vertical and horizontal symmetries.
The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is $4 (H, I, O, X)$.
Only $H, I, O, X$ have both vertical and horizontal symmetries.
The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is $4 (H, I, O, X)$.
MCQ 301 Mark
Which of the following is/ are point symmetric?
- ARectangle.
- BSquare.
- CParallelogram.
- ✓All of these.
Answer
View full question & answer→Correct option: D.
All of these.
A point of symmetry is a point that represents a "center" of sorts for the figure.
Hence, the correct answer is option $(d)$.
Hence, the correct answer is option $(d)$.
MCQ 311 Mark
An square is:
- ✓Regular
- BIrregular
- CEither regular or irregular
- DNeither regular nor irregular
Answer
View full question & answer→Correct option: A.
Regular
A square is regular because each of its sides are of equal length and each of its angles is a right angle i.e. $90$ degrees.
MCQ 321 Mark
Hat is the order of rotational symmetry of the English alphabet $Z$?
- A$0$
- B$1$
- ✓$2$
- D$3$
Answer
View full question & answer→Correct option: C.
$2$
$2$
MCQ 331 Mark
A rectangle $DEFG$ is plotted in $XY$ plane.The co - ordinates of $D, E, F$ and $G$ are $(2, 2), (9, 2), (9, 10)$ and $(2,10).$ Find the new co - ordinates of Ewhen $DEFG$ is rotated $270°$ around origin.
- A$(2, 9)$
- ✓$(2, -9)$
- C$(-2, -9)$
- D$(-2, 9)$
Answer
View full question & answer→Correct option: B.
$(2, -9)$
Given - coordinates of rectangle $DEFG, D$ $(2, 2),$ $E$ $(9, 2),$ $F$ $(9, 10),$ $G$ $(2, 10)$ (rectangle lies in $1^{st}$ quadrant)
case 1: Now Rotate it anti - clock wise through $270^\circ $ about origin or Rotate the coordinate axis clock - wise through $270^\circ .$
After rotation coordinate axis clockwise through $270^\circ $ rectangle $DEFG$ will lie in $4^{th}$ quadrant,
hence coordinate of $E$ will become $(2, -9).$
case 2: Now Rotate it clock wise through $270^\circ $ about origin or Rotate the coordinate axis anti - clockwise through $270^\circ .$
After rotation coordinate axis anti-clockwise through $270^\circ $ rectangle $DEFG$ will lie in $2^{nd}$ quadrant,
hence coordinate of $E$ will become $(-2, 9).$
case 1: Now Rotate it anti - clock wise through $270^\circ $ about origin or Rotate the coordinate axis clock - wise through $270^\circ .$
After rotation coordinate axis clockwise through $270^\circ $ rectangle $DEFG$ will lie in $4^{th}$ quadrant,
hence coordinate of $E$ will become $(2, -9).$
case 2: Now Rotate it clock wise through $270^\circ $ about origin or Rotate the coordinate axis anti - clockwise through $270^\circ .$
After rotation coordinate axis anti-clockwise through $270^\circ $ rectangle $DEFG$ will lie in $2^{nd}$ quadrant,
hence coordinate of $E$ will become $(-2, 9).$
MCQ 341 Mark
A figure has a rotational symmetry of order more than $1$, the angle of rotation can be.
- A$21^\circ $
- B$22^\circ$
- C$23^\circ $
- ✓$24^\circ $
Answer
View full question & answer→Correct option: D.
$24^\circ $
It is known that, if angle of rotation is a factor of $360^\circ $, then the figure has a rotational symmetry of order more than $1$.
So, among the four options given,
$1. \frac{360}{21}$
$2. \frac{360}{22}$
$3. \frac{360}{23}$
$4. \frac{360}{24}$
Only $24$ is a factor of $360$ degrees.
Then, the only option which can be suitable for angle of rotation is $24^\circ $.
So, among the four options given,
$1. \frac{360}{21}$
$2. \frac{360}{22}$
$3. \frac{360}{23}$
$4. \frac{360}{24}$
Only $24$ is a factor of $360$ degrees.
Then, the only option which can be suitable for angle of rotation is $24^\circ $.
MCQ 351 Mark
Which of the following triangles has no line of symmetry?
- AAn equilateral triangle
- BAn isosceles triangle
- ✓A scalene triangle
- DAll of the above
Answer
View full question & answer→Correct option: C.
A scalene triangle
A scalene triangle
MCQ 361 Mark
Letter $‘H’$ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
- AA vertical mirror
- ✓Both horizontal and vertical
- CA horizontal mirror
- DNeither horizontal nor vertical
Answer
View full question & answer→Correct option: B.
Both horizontal and vertical
Both horizontal and vertical
MCQ 371 Mark
Each face of a cuboid is:
- ASquare
- ✓Rectangle
- CTriangle
- DNone of these
Answer
View full question & answer→Correct option: B.
Rectangle
All six faces of a cuboid can be rectangles.
$Ex:$ a brick or a shoebox.
$Ex:$ a brick or a shoebox.
MCQ 381 Mark
How many lines of symmetry are there in a regular pentagon?
- ✓$1$
- B$2$
- C$3$
- D$5$
Answer
View full question & answer→Correct option: A.
$1$
$1$
MCQ 391 Mark
A polygon is a:
- AOpen figure made of only two line segments.
- BClosed figure made of only two line segments.
- COpen figure made of several line segments.
- ✓Closed figure made of several line segments.
Answer
View full question & answer→Correct option: D.
Closed figure made of several line segments.
A polygon is a closed figure made of several line segments
$Ex:$ triangle, square, rectangle, etc are closed polygon figures and have more than two line segments.
MCQ 401 Mark
The order of rotational symmetry of a square is:
- A$1$
- B$2$
- C$3$
- ✓$4$
Answer
View full question & answer→Correct option: D.
$4$
$4$
MCQ 411 Mark
How many lines of symmetry are there in a parallelogram?
- A$0$
- B$1$
- C$2$
- ✓None of these
Answer
View full question & answer→Correct option: D.
None of these
None of these
MCQ 421 Mark
Which of the following letters have reflection line of symmetry about vertical mirror?
- ✓$V$
- B$C$
- C$Q$
- D$B$
Answer
The letter $V$ has reflection line of symmetry about vertical mirror as shown in the figure.
View full question & answer→Correct option: A.
$V$
The letter $V$ has reflection line of symmetry about vertical mirror as shown in the figure.
MCQ 431 Mark
How many lines of symmetry are there in a triangle which has all the angles equal?
- A$1$
- B$2$
- ✓$3$
- D$4$
Answer
View full question & answer→Correct option: C.
$3$
For an equilateral triangle, since all sides and angles are equal.
$\therefore$ An Equilateral triangle has $3$ lines of symmetry.
$\therefore$ An Equilateral triangle has $3$ lines of symmetry.
MCQ 441 Mark
The number of rotational symmetry of an equilateral triangle is/are:
- A$1$
- B$2$
- ✓$3$
- D$4$
Answer
View full question & answer→Correct option: C.
$3$
Equilateral triangle objects have order $3$ rotational symmetry.
MCQ 451 Mark
Which of the following alphabets has line symmetry?
- A$Z$
- B$P$
- C$Q$
- ✓$A$
Answer
The alphabet $A$ has line symmetry as shown in the figure.
View full question & answer→Correct option: D.
$A$
The alphabet $A$ has line symmetry as shown in the figure.
MCQ 461 Mark
Triangle is a ____ line of symmetry.
- A$2$
- ✓$3$
- C$4$
- D$5$
Answer
View full question & answer→Correct option: B.
$3$
Triangle is a $3$ line of symmetry as shown in the figure:
MCQ 471 Mark
Which of the following alphabets has line symmetry?
- A$Z$
- B$P$
- C$Q$
- ✓$A$
Answer
The alphabet $A$ has line symmetry as shown in the figure.
View full question & answer→Correct option: D.
$A$
The alphabet $A$ has line symmetry as shown in the figure.
MCQ 481 Mark
A square has _____ line of symmetry.
- A$2$
- B$3$
- ✓$4$
- D$6$
Answer
View full question & answer→Correct option: C.
$4$
A square has $4$ line of symmetry as shown in the figure:
MCQ 491 Mark
A regular pentagon has ____ lines of symmetry.
- A$3$
- B$4$
- ✓$5$
- D$6$
Answer
View full question & answer→Correct option: C.
$5$
A regular pentagon has 5 lines of symmetry as shown in the figure:
MCQ 501 Mark
The order of rotational symmetry of a circle is:
- A$1$
- B$4$
- C$2$
- ✓Infinite
Answer
View full question & answer→Correct option: D.
Infinite
Infinite