Explore topic-wise MCQs in Mental Ability.

This section includes 181 Mcqs, each offering curated multiple-choice questions to sharpen your Mental Ability knowledge and support exam preparation. Choose a topic below to get started.

151.

AX, BY and CZ are the medians of \[\Delta \,ABC\] intersecting at O. If CK is drawn parallel to BY to meet AX in K, then AO is

A. \[\frac{1}{4}\,AK\]
B. \[\frac{1}{2}\,AK\]
C. \[\frac{1}{3}\,AK\]
D. \[\frac{2}{3}\,AK\]
Answer» C. \[\frac{1}{3}\,AK\]
152.

In a triangle ABC, D and E are the midpoints of AB and AC. If the area of AABC = 60 sq cm. then the area of the A ADE is equal to

A. 15 sq cm
B. 20 sq cm
C. 25 sq cm
D. 30 sq cm
Answer» B. 20 sq cm
153.

How many triangles are there in the given figure? 

A. 5
B. 11
C. 12
D. 10
Answer» E.
154.

In a triangle ABC, if angle B = \[90{}^\circ \] and D is the point in BC such that BD = 2 DC, then

A. \[A{{C}^{2}}=\,A{{D}^{2}}+3C{{D}^{2}}\]
B. \[A{{C}^{2}}=\,A{{D}^{2}}+5C{{D}^{2}}\]
C. \[A{{C}^{2}}=\,A{{D}^{2}}+7C{{D}^{2}}\]
D. \[A{{C}^{2}}=\,A{{B}^{2}}+5B{{D}^{2}}\]
Answer» C. \[A{{C}^{2}}=\,A{{D}^{2}}+7C{{D}^{2}}\]
155.

In a Rhombus ABCD, its diagonal intersect at O, then \[\angle AOB\]=______.

A. \[180{}^\circ \]
B. \[0{}^\circ \]
C. \[90{}^\circ \]
D. \[60{}^\circ \]
Answer» D. \[60{}^\circ \]
156.

The sum of all angle of triangle is ___________

A. \[{{180}^{o}}\]
B. \[{{360}^{o}}\]
C. \[{{420}^{o}}\]
D. \[{{720}^{o}}\]
Answer» B. \[{{360}^{o}}\]
157.

In a \[\Delta \] centroid G divides the median in the ratio ___________ from the vertex.

A. \[1:2\]
B. \[2:1\]
C. \[3:1\]
D. \[1:3\]
Answer» C. \[3:1\]
158.

Line segment \[AB\] is congruent to line segment \[CD\], it is represented as

A. \[\overline{AB}=\overline{CD}\]
B. \[\overline{AB}\ne \overline{CD}\]
C. \[\overline{AB}\cong \overline{CD}\]
D. None of these
Answer» D. None of these
159.

Protractor : angle : : compass : ?

A. rectangle
B. square
C. side
D. circle
Answer» E.
160.

If the difference of two supplementary angles is \[40{}^\circ \], then the measurement of the greater angle is

A. \[65{}^\circ \]
B. \[110{}^\circ \]
C. \[130{}^\circ \]
D. \[220{}^\circ \]
Answer» C. \[130{}^\circ \]
161.

What type of an angle is formed between the hands of a clock when it is \[3\] O'clock?

A. An obtuse angle
B. A right angle
C. A straight angle
D. An acute angle
Answer» C. A straight angle
162.

Line m and four points are shown on the grid. Which two points appear to lie on the same line that is similar to line m?   

A. G and D
B. D and E
C. G and E
D. F and D
Answer» D. F and D
163.

IJKL and MNOP are two rectangles. Find the length of KP. 

A. 3 cm
B. 5 cm
C. 8 cm
D. 9 cm
Answer» E.
164.

In the given figure, AB = AC and \[\angle \,BAC\,=40{}^\circ \] Find the sum of angle ADC and angle DAC.

A. \[55{}^\circ \]
B. \[65{}^\circ \]
C. \[70{}^\circ \]
D. \[60{}^\circ \]
Answer» D. \[60{}^\circ \]
165.

In the shown figure, if PS, UQ and RT are each perpendicular to PR, then _______

A. \[\frac{1}{a}+\frac{1}{b}=\frac{1}{c}\]
B. \[\frac{1}{b}+\frac{1}{c}=\frac{1}{a}\]
C. \[\frac{1}{a}+\frac{1}{c}=\frac{1}{b}\]
D. \[\frac{1}{c}+\frac{1}{a}=\frac{2}{b}\]
E. None of these
Answer» D. \[\frac{1}{c}+\frac{1}{a}=\frac{2}{b}\]
166.

In the shown figure, PQ || RS, find the value of x.

A. 3
B. 7
C. 5
D. 8
E. None of these
Answer» D. 8
167.

In which of the following figure, perpendicular bisector is shown: (i) (ii) (iii) (iv)

A. i
B. ii
C. iii
D. iv
E. None of these
Answer» D. iv
168.

The sum of the edges, faces and vertices in a sphere is ____.

A. 0
B. 1
C. 8
D. 9
E. None of these
Answer» B. 1
169.

The sum of the vertices, edges and faces in the prism shown below is:

A. 12
B. 15
C. 20
D. 24
E. None of these
Answer» D. 24
170.

Which one among the following letters does not have 2 lines of symmetry?

A. H
B. B
C. I
D. X
E. None of these
Answer» C. I
171.

Which one among the following is incorrect pair of the word and its mirror image?

A. FARRUKHABAD:
B. KANPUR:
C. BAREILLY:
D. Lucknow:
E. None of these
Answer» C. BAREILLY:
172.

How many capital letters of English Alphabet has exactly 1 line of symmetry?

A. 4
B. 9
C. 11
D. 12
E. None of these
Answer» E. None of these
173.

Which among the following figure has exactly four lines of symmetry? (i) (ii) (iii) (iv)

A. i
B. ii
C. iii
D. iv
E. None of these
Answer» B. ii
174.

Consider the following statements: Statement 1: A triangle can have 3 or 1 or no lines of symmetry Statement 2: An equilateral triangle has 3 lines of symmetry, an isosceles triangle has one line of symmetry and a scalene triangle has no lines of symmetry. Which one of the following is correct for the above statements?

A. Both the statements are true and statement 2 is the correct explanation of the statement 1.
B. Both the statements are true and statement 1 is the correct explanation of the statement 2.
C. Statement 1 is false and Statement 2 is true.
D. Both the statements are false.
E. None of these
Answer» B. Both the statements are true and statement 1 is the correct explanation of the statement 2.
175.

Interior, exterior and boundary are three parts of a _____.

A. region
B. open curve
C. closed curve
D. open curve
E. None of these
Answer» D. open curve
176.

A polygon with all its sides equal and all its angles equal is called a ___.

A. Triangle
B. Rectangle
C. Quadrilateral
D. Regular polygon
E. None of these
Answer» E. None of these
177.

Which one of the following letters has only one line of symmetry?

A. H
B. T
C. X
D. Z
E. None of these
Answer» C. X
178.

Adjacent angles in a plane have _______

A. a common vertex
B. a common arm
C. arms lying on opposite sides of the common arm
D. All the above
E. None of these
Answer» E. None of these
179.

Which among the following is correct for the figure shown below:

A. There are 2 obtuse angles in the figure.
B. There are 4 acute angles in the figure.
C. There are 6 triangles in the figure.
D. All the above
E. None of these
Answer» D. All the above
180.

The number of angles in the figure shown below is:

A. 4
B. 8
C. 12
D. 6
E. None of these
Answer» E. None of these
181.

The number of line segments in the shown figure is _____.

A. 30
B. 20
C. 15
D. 12
E. None of these
Answer» D. 12