The figure below is not drawn to scale, SP is parallel to TQ. PQR and STU are straight lines. Which one of the following statements is true?

\[\angle a-\angle b=180{}^\circ \]

\[\angle a-\angle c=180{}^\circ \]

\[\angle c+\angle d=180{}^\circ \]

Which one of the following is NOT true about a rectangle?

All angles of a rectangles are right angles.

Opposite sides of a rectangle are equal.

All the sides of a rectangle are equal.

Which of these is true?

A simple closed figure bounded by five line segments is called a square.

A simple closed figure bounded by three line segments is called a triangle.

A square has only one pair of parallel line segments.

Which one of the following is not true for the equilateral triangle ABC given below?

\[\frac{\text{AB}+\text{AC}}{2}=\text{BC}\]

\[\angle \text{BAC}+\angle \text{ACB}=120{}^\circ \]

Discount = Rs. 10, Selling price = Rs. 140

\[\frac{\angle \text{BAC}+\angle \text{ACB}+\angle \text{ABC}}{2}=2\times 90{}^\circ \]

Which one of the following is not true for the square ABCD given below?

\[\text{AB}+\text{BC+CD}=3\times \text{AD}\]

\[\angle \text{ABC}+\angle \text{ADC}=\angle \text{BAD+}\angle \text{BCD}\]

\[\angle \text{ABC}+\angle \text{BCD}+\angle \text{ADC}=360{}^\circ \]

In a triangle ABC, BD and CE are perpendicular on AC and AB respectively, If BD = CE, then the triangle ABC is:

\[\angle b-\angle e=180{}^\circ \]

The present time is 4 o'clock. Through how many degrees will the hour hand move in 10 hours?

\[\text{360 }\!\!{}^\circ\!\!\text{ }\]

\[\text{300 }\!\!{}^\circ\!\!\text{ }\]

\[\text{345 }\!\!{}^\circ\!\!\text{ }\]

State all possible names of the quadrilateral shown below:

Parallelogram, Rectangle, Square

Which of the following Venn diagrams best depicts the relationship amongst "Indoor games, Chess and Table Tennis"? (SOF NCO 2017)

Sum of the angles of a rectangle is \[360{}^\circ \].

Number of standing lines in the given figure is _________ (SOF NCO 2017)

\[\frac{\text{AB}}{\text{AC}}=\frac{\text{AC}}{\text{BC}}\]

There are ________ circles and _________ triangles respectively in the given figure. (SOF IMO 2016)

\[\text{AB}+\text{BC}=\text{AD}+\text{CD}\]

There are ________ number of sleeping lines, ______ number of slanting lines and ________ number of standing lines in the given figure.

\[{{\left( 22\frac{1}{2} \right)}^{{}^\circ }}\]

There are _______ triangles, ______ circles and _________ squares respectively in the given figure.

\[\text{340 }\!\!{}^\circ\!\!\text{ }\]

Shape ________ has the largest number of sides.

Parallelogram, Rectangle, Rhombus

181 + Mcqs in Geometry in Mental Ability Page 1 McqOptions

1.	In the figure, not drawn to scale, line AEB \|\| line CFD. Find angle m.
A.	\[20{}^\circ \]
B.	\[40{}^\circ \]
C.	3
D.	\[80{}^\circ \]
E.	None of these
Answer» B. \[40{}^\circ \]

Discussion

2.	The figure below is not drawn to scale, SP is parallel to TQ. PQR and STU are straight lines. Which one of the following statements is true?
A.	\[\angle a-\angle b=180{}^\circ \]
B.	\[\angle a-\angle c=180{}^\circ \]
C.	6
D.	\[\angle c+\angle d=180{}^\circ \]
E.	None of these
Answer» E. None of these

Discussion

3.	Using the properties of parallelograms, find the missing values:
A.	\[x=13,\text{ }y=17\]
B.	\[x=17,\text{ }y=17\]
C.	\[\times \]
D.	\[x=18,\text{ }y=1\]
E.	None of these
Answer» D. \[x=18,\text{ }y=1\]

Discussion

4.	ABCD is a square in which diagonal AC is 15 cm. The side MN of the square BDMN is:
A.	17.5 cm
B.	10 cm
C.	5
D.	22.5 cm
E.	None of these
Answer» D. 22.5 cm

Discussion

5.	Sum of all four angles of the two pairs of complementary angles is a/an:
A.	straight angle
B.	right angle
C.	6
D.	reflex angle
E.	None of these
Answer» B. right angle

Discussion

6.	Find the area of an equilateral triangle whose side is 4 cm long.
A.	\[4\sqrt{3}\,c{{m}^{2}}\]
B.	\[2\sqrt{3}\,c{{m}^{2}}\]
C.	4
D.	\[8\sqrt{3}\,c{{m}^{2}}\]
E.	None of these
Answer» B. \[2\sqrt{3}\,c{{m}^{2}}\]

Discussion

7.	A parallelogram has which of the following?
A.	No line of symmetry
B.	One line of symmetry
C.	6
D.	Four lines of symmetry
E.	None of these
Answer» B. One line of symmetry

Discussion

8.	Sum of 7 angles of a polygon having 8 sides is \[\mathbf{955}{}^\circ \]. What is the remaining angle?
A.	\[110{}^\circ \]
B.	\[105{}^\circ \]
C.	3
D.	\[125{}^\circ \]
E.	None of these
Answer» E. None of these

Discussion

9.	Which one of the following is NOT true about a rectangle?
A.	All angles of a rectangles are right angles.
B.	Opposite sides of a rectangle are equal.
C.	1, 3 and 4 only
D.	All the sides of a rectangle are equal.
E.	None of these
Answer» E. None of these

Discussion

10.	Look at the following figure. ABC is an equilateral triangle. Find the measures of angle ACD.
A.	\[60{}^\circ \]
B.	\[120{}^\circ \]
C.	2 only
D.	All of these
E.	None of these
Answer» C. 2 only

Discussion

11.	Which of these is true?
A.	A simple closed figure bounded by five line segments is called a square.
B.	A simple closed figure bounded by three line segments is called a triangle.
C.	1 and 3 only
D.	A square has only one pair of parallel line segments.
Answer» C. 1 and 3 only

Discussion

12.	Identify the other symmetrical part of the given figure about the line m.
A.
B.
C.	4
D.
Answer» C. 4

Discussion

13.	Sum of perimeters of the given square A and rectangle B will be:
A.	56 cm
B.	64 cm
C.	\[11\frac{1}{3}%\]
D.	60 cm
E.	None of these
Answer» E. None of these

Discussion

14.	Identify the other symmetrical part of the given letters, with p as the line of symmetry.
A.
B.
C.	Rs. 4250
D.
Answer» C. Rs. 4250

Discussion

15.	Observe the given letters. Which letter(s) does not have a vertical line of symmetry?
A.	E and T
B.	V and S
C.	Rs. 88600
D.	E and W
Answer» D. E and W

Discussion

16.	In the given figures, AB is a line. In which figure is AB, a line of symmetry?.
A.	Only (iii)
B.	Only (i) and (iii)
C.	20%
D.	Only (i), (ii) and (iv)
Answer» E.

Discussion

17.	In the figure\[\mathbf{m}\text{ }\parallel \text{ }\mathbf{n}\text{ }\mathbf{and}\text{ }\mathbf{p}\text{ }\parallel \text{ }\mathbf{q}\]. If \[\angle 1=70{}^\circ ,\angle 2=\] _________:
A.	\[70{}^\circ \]
B.	\[100{}^\circ \]
C.	Rs. 180
D.	\[110{}^\circ \]
E.	None of these
Answer» E. None of these

Discussion

18.	Which one of the following is not true for the equilateral triangle ABC given below?
A.	\[\frac{\text{AB}+\text{AC}}{2}=\text{BC}\]
B.	\[\angle \text{BAC}+\angle \text{ACB}=120{}^\circ \]
C.	Discount = Rs. 10, Selling price = Rs. 140
D.	\[\frac{\angle \text{BAC}+\angle \text{ACB}+\angle \text{ABC}}{2}=2\times 90{}^\circ \]
E.	None of these
Answer» E. None of these

Discussion

19.	Which one of the following is not true for the square ABCD given below?
A.	\[\text{AB}+\text{BC+CD}=3\times \text{AD}\]
B.	\[\angle \text{ABC}+\angle \text{ADC}=\angle \text{BAD+}\angle \text{BCD}\]
C.
D.	\[\angle \text{ABC}+\angle \text{BCD}+\angle \text{ADC}=360{}^\circ \]
E.	None of these
Answer» E. None of these

Discussion

20.	Nandini set her pencil on the desk so that it was pointing to the right as shown in the box. Which of the following shows her pencil after she turned it by\[\text{180 }\!\!{}^\circ\!\!\text{ }\]?
A.
B.
C.	B and C only
D.
Answer» C. B and C only

Discussion

21.	In the figure, \[\angle A=80{}^\circ ,\angle B=60{}^\circ ,\angle C=2x{}^\circ \,\,\,and\,\,\,\angle BDC=y{}^\circ ,BD\] and CD are bisector of \[\angle B\] and \[\angle C\], respectively. The values of x and y respectively are:
A.	\[15{}^\circand 70{}^\circ \]
B.	\[10{}^\circand 160{}^\circ \]
C.	\[60{}^\circ \]
D.	\[20{}^\circand 125{}^\circ \]
E.	None of these
Answer» D. \[20{}^\circand 125{}^\circ \]

Discussion

22.	In a triangle ABC, BD and CE are perpendicular on AC and AB respectively, If BD = CE, then the triangle ABC is:
A.	Equilateral
B.	Isosceles
C.	\[\angle b-\angle e=180{}^\circ \]
D.	Scalene
E.	None of these
Answer» C. \[\angle b-\angle e=180{}^\circ \]

Discussion

23.	In the adjoining figure ABCD is a square and EBC is an equilateral triangle. The measure of \[\angle \]EAB is equal to:
A.	\[15{}^\circ \]
B.	\[30{}^\circ \]
C.	\[x=1,\text{ }y=18\]
D.	\[45{}^\circ \]
E.	None of these
Answer» B. \[30{}^\circ \]

Discussion

24.	The present time is 4 o'clock. Through how many degrees will the hour hand move in 10 hours?
A.	\[\text{360 }\!\!{}^\circ\!\!\text{ }\]
B.	\[\text{300 }\!\!{}^\circ\!\!\text{ }\]
C.	15 cm
D.	\[\text{345 }\!\!{}^\circ\!\!\text{ }\]
Answer» C. 15 cm

Discussion

25.	State all possible names of the quadrilateral shown below:
A.	Parallelogram, Rectangle, Square
B.	Parallelogram, Rectangle
C.	obtuse angle
D.	Trapezoid, Rectangle
E.	None of these
Answer» C. obtuse angle

Discussion

26.	Which of the following has greatest perimeter?
A.	R
B.	S
C.	\[16\sqrt{3}\,c{{m}^{2}}\]
D.	Q
Answer» C. \[16\sqrt{3}\,c{{m}^{2}}\]

Discussion

27.	Riya drew a face as shows: How many circles are needed to draw 10 such faces?
A.	70
B.	60
C.	Two lines of symmetry
D.	55
Answer» B. 60

Discussion

28.	There are ___________ triangles in the figure.
A.	2
B.	3
C.	\[135{}^\circ \]
D.	5
Answer» E.

Discussion

29.	Which of the following Venn diagrams best depicts the relationship amongst "Indoor games, Chess and Table Tennis"? (SOF NCO 2017)
A.
B.
C.	Sum of the angles of a rectangle is \[360{}^\circ \].
D.
Answer» B.

Discussion

30.	Which of the following shapes is missing in the given image?
A.	Rectangle
B.	Circle
C.	\[180{}^\circ \]
D.	Square
Answer» C. \[180{}^\circ \]

Discussion

31.	Count the number of triangles in the given figure.
A.	12
B.	13
C.
D.	14
Answer» C.

Discussion

32.	Count the number of cubes in the given figure. (SOF NCO 2017)
A.	21
B.	24
C.	67 cm
D.	None of these
Answer» E.

Discussion

33.	Count the number of rectangles in the given figure. (SOF IMO 2017)
A.	15
B.	9
C.	54 cm
D.	16
Answer» E.

Discussion

34.	The figure is made up of __________ circles.
A.	6
B.	7
C.
D.	9
Answer» D. 9

Discussion

35.	The figure is made up of ___________ triangles.
A.	4
B.	5
C.	E and S
D.	7
Answer» E.

Discussion

36.	The figure has __________ straight lines.
A.	11
B.	12
C.	Only (ii), (iii) and (iv)
D.	14
Answer» D. 14

Discussion

37.	How many triangles are then are there in the given figure? (SOF NCO 2017)
A.	36
B.	34
C.	\[80{}^\circ \]
D.	None of these
Answer» C. \[80{}^\circ \]

Discussion

38.	Number of standing lines in the given figure is _________ (SOF NCO 2017)
A.	15
B.	20
C.	\[\frac{\text{AB}}{\text{AC}}=\frac{\text{AC}}{\text{BC}}\]
D.	22
Answer» D. 22

Discussion

39.	There are ________ circles and _________ triangles respectively in the given figure. (SOF IMO 2016)
A.	9, 13
B.	7, 9
C.	\[\text{AB}+\text{BC}=\text{AD}+\text{CD}\]
D.	7, 11
Answer» C. \[\text{AB}+\text{BC}=\text{AD}+\text{CD}\]

Discussion

40.	How many straight lines does this figure has?
A.	7
B.	10
C.	7
D.	15
Answer» B. 10

Discussion

41.	Which of the following Venn diagrams best depicts the relationship amongst "Tables, Pineapple, Fruits"? (SOF NCO 2016)
A.
B.
C.
D.
Answer» B.

Discussion

42.	Tick the right name of the shape that is given below?
A.	Circle
B.	Square
C.	\[20{}^\circand 130{}^\circ \]
D.	Rectangle
Answer» E.

Discussion

43.	Find the total number of cubes in the given figure. (SOF NCO 2016)
A.	13
B.	14
C.	Right angled
D.	16
Answer» C. Right angled

Discussion

44.	There are ________ number of sleeping lines, ______ number of slanting lines and ________ number of standing lines in the given figure.
A.	22, 16 20
B.	23, 14, 19
C.	\[{{\left( 22\frac{1}{2} \right)}^{{}^\circ }}\]
D.	18, 16, 20
Answer» D. 18, 16, 20

Discussion

45.	There are _______ triangles, ______ circles and _________ squares respectively in the given figure.
A.	11, 4, 2
B.	12, 4, 3
C.	\[\text{340 }\!\!{}^\circ\!\!\text{ }\]
D.	12, 6, 2
Answer» D. 12, 6, 2

Discussion

46.	Shape ________ has the largest number of sides.
A.	T
B.	R
C.	Parallelogram, Rectangle, Rhombus
D.	P
Answer» D. P

Discussion

47.	How many rectangles are there in the given figure?
A.	3
B.	4
C.	P
D.	2
Answer» B. 4

Discussion

48.	Find the number of triangles in the given figure?
A.	1
B.	2
C.	50
D.	7
Answer» E.

Discussion

49.	How many curved lines are there in the given figure?
A.	7
B.	15
C.	4
D.	12
Answer» C. 4

Discussion

50.	Identify the object which is under the table and rolling also.
A.
B.
C.
D.
Answer» D.

Discussion

Explore topic-wise MCQs in Mental Ability.

In the figure, not drawn to scale, line AEB || line CFD. Find angle m.

The figure below is not drawn to scale, SP is parallel to TQ. PQR and STU are straight lines. Which one of the following statements is true?

Using the properties of parallelograms, find the missing values:

ABCD is a square in which diagonal AC is 15 cm. The side MN of the square BDMN is:

Sum of all four angles of the two pairs of complementary angles is a/an:

Find the area of an equilateral triangle whose side is 4 cm long.

A parallelogram has which of the following?

Sum of 7 angles of a polygon having 8 sides is \[\mathbf{955}{}^\circ \]. What is the remaining angle?

Which one of the following is NOT true about a rectangle?

Look at the following figure. ABC is an equilateral triangle. Find the measures of angle ACD.

Which of these is true?

Identify the other symmetrical part of the given figure about the line m.

Sum of perimeters of the given square A and rectangle B will be:

Identify the other symmetrical part of the given letters, with p as the line of symmetry.

Observe the given letters. Which letter(s) does not have a vertical line of symmetry?

In the given figures, AB is a line. In which figure is AB, a line of symmetry?.

In the figure\[\mathbf{m}\text{ }\parallel \text{ }\mathbf{n}\text{ }\mathbf{and}\text{ }\mathbf{p}\text{ }\parallel \text{ }\mathbf{q}\]. If \[\angle 1=70{}^\circ ,\angle 2=\] _________:

Which one of the following is not true for the equilateral triangle ABC given below?

Which one of the following is not true for the square ABCD given below?

Nandini set her pencil on the desk so that it was pointing to the right as shown in the box. Which of the following shows her pencil after she turned it by\[\text{180 }\!\!{}^\circ\!\!\text{ }\]?

In the figure, \[\angle A=80{}^\circ ,\angle B=60{}^\circ ,\angle C=2x{}^\circ \,\,\,and\,\,\,\angle BDC=y{}^\circ ,BD\] and CD are bisector of \[\angle B\] and \[\angle C\], respectively. The values of x and y respectively are:

In a triangle ABC, BD and CE are perpendicular on AC and AB respectively, If BD = CE, then the triangle ABC is:

In the adjoining figure ABCD is a square and EBC is an equilateral triangle. The measure of \[\angle \]EAB is equal to:

The present time is 4 o'clock. Through how many degrees will the hour hand move in 10 hours?

State all possible names of the quadrilateral shown below:

Which of the following has greatest perimeter?

Riya drew a face as shows: How many circles are needed to draw 10 such faces?

There are ___________ triangles in the figure.

Which of the following Venn diagrams best depicts the relationship amongst "Indoor games, Chess and Table Tennis"? (SOF NCO 2017)

Which of the following shapes is missing in the given image?

Count the number of triangles in the given figure.

Count the number of cubes in the given figure. (SOF NCO 2017)

Count the number of rectangles in the given figure. (SOF IMO 2017)

The figure is made up of __________ circles.

The figure is made up of ___________ triangles.

The figure has __________ straight lines.

How many triangles are then are there in the given figure? (SOF NCO 2017)

Number of standing lines in the given figure is _________ (SOF NCO 2017)

There are ________ circles and _________ triangles respectively in the given figure. (SOF IMO 2016)

How many straight lines does this figure has?

Which of the following Venn diagrams best depicts the relationship amongst "Tables, Pineapple, Fruits"? (SOF NCO 2016)

Tick the right name of the shape that is given below?

Find the total number of cubes in the given figure. (SOF NCO 2016)

There are ________ number of sleeping lines, ______ number of slanting lines and ________ number of standing lines in the given figure.

There are _______ triangles, ______ circles and _________ squares respectively in the given figure.

Shape ________ has the largest number of sides.

How many rectangles are there in the given figure?

Find the number of triangles in the given figure?

How many curved lines are there in the given figure?

Identify the object which is under the table and rolling also.

There are circles and _ triangles respectively in the given figure. (SOF IMO 2016)

There are number of sleeping lines, number of slanting lines and __ number of standing lines in the given figure.

There are _ triangles, circles and _____ squares respectively in the given figure.