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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 | |