MCQOPTIONS
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MCQOPTIONS
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.
| 101. |
How many line segments make a quadrilateral? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 102. |
In the shown figure, PQJ. RS and PS is the bisector of \[\angle \] QPM. If PQ = 3 cm and PR = 5 cm, then the length of RS is ______ |
| A. | 8 cm |
| B. | 10 cm |
| C. | 12 cm |
| D. | 14 cm |
| E. | None of these |
| Answer» C. 12 cm | |
| 103. |
Diagonal PR of a rectangle PQRS is produced to the point E such that PR: RE = 2: 1. If PQ = 8 cm and QR = 6 cm, then the length of SE is ________ |
| A. | \[2\sqrt{5}cm\] |
| B. | \[3\sqrt{17}cm\] |
| C. | \[3\sqrt{15}cm\] |
| D. | \[4\sqrt{19}cm\] |
| E. | None of these |
| Answer» C. \[3\sqrt{15}cm\] | |
| 104. |
An equilateral triangle ABC is constructed on a side AB of a square MNAB. The measure of \[\angle \] MCN can be ______ |
| A. | \[30{}^\circ \] |
| B. | \[15{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[60{}^\circ \] |
| E. | None of these |
| Answer» B. \[15{}^\circ \] | |
| 105. |
Direction: Comprehension Type: In the adjacent figure, The lines passing through 'G' are _____ |
| A. | \[\overleftrightarrow{FC},\overleftrightarrow{EC}\] |
| B. | \[\overleftrightarrow{FA},\overleftrightarrow{AC}\] |
| C. | \[\overleftrightarrow{FD},\overleftrightarrow{CD}\] |
| D. | \[\overleftrightarrow{AB},\overleftrightarrow{AF}\] |
| Answer» B. \[\overleftrightarrow{FA},\overleftrightarrow{AC}\] | |
| 106. |
Direction: Comprehension Type: In the adjacent figure, Collinear Points are ____ |
| A. | A, B, C |
| B. | D, G, B |
| C. | F, G, D |
| D. | F, E, G |
| Answer» B. D, G, B | |
| 107. |
In the shown figure, three lines are intersecting at a point. If\[\mathbf{r=25{}^\circ }\,\,\mathbf{and}\,\,\mathbf{t{}^\circ =76{}^\circ }\], then find the value of P. |
| A. | \[79{}^\circ \] |
| B. | \[89{}^\circ \] |
| C. | \[76{}^\circ \] |
| D. | \[58{}^\circ \] |
| E. | None of these |
| Answer» B. \[89{}^\circ \] | |
| 108. |
Which one among the following cannot be the sides of a triangle? |
| A. | 5cm, 7cm, 9cm |
| B. | 6cm, 5cm, 2cm |
| C. | 5cm, 8cm, 3cm |
| D. | 7cm, 10cm, 4cm |
| E. | None of these |
| Answer» D. 7cm, 10cm, 4cm | |
| 109. |
Study the given sentences. (i) A set of points which lie on the same line are called collinear points. (ii) A set of points at different distances from a fixed point is a circle. (iii) A set of points which do not lie on the same line are called non-collinear points. Which of the following is true? |
| A. | Only (i) |
| B. | Only (ii) |
| C. | Only (i) and (ii) |
| D. | Only (i) and (iii) |
| Answer» E. | |
| 110. |
Statement I: From the adjacent figure, the points A, B, C, D, E, F are collinear Points Statement II: the points lying on the same line are collinear points. |
| A. | Both Statement -I and Statement - II are true. |
| B. | Both Statement -I and Statement - II are false. |
| C. | Statement I is true. Statement II is false. |
| D. | Statement I is false, Statement II is true. |
| Answer» E. | |
| 111. |
Line segment joining the vertices to the mid-points of the opposite sides of a triangle are known as |
| A. | Medians |
| B. | Altitudes |
| C. | Heights |
| D. | Angle bisectors |
| Answer» B. Altitudes | |
| 112. |
Direction: Refer the figure given below \[\overline{NM}\]Represents |
| A. | Diameter |
| B. | Secant |
| C. | Tangent |
| D. | Chord |
| Answer» C. Tangent | |
| 113. |
A square has____ lines of symmetry. |
| A. | 4 |
| B. | 8 |
| C. | 2 |
| D. | 0 |
| Answer» B. 8 | |
| 114. |
DIRECTION: is a cube. How many of these cubes are needed to make the figures shown? |
| A. | 19 |
| B. | 18 |
| C. | 12 |
| D. | 16 |
| Answer» D. 16 | |
| 115. |
How many corners does the given figure have? |
| A. | 30 |
| B. | 31 |
| C. | 36 |
| D. | 38 |
| Answer» D. 38 | |
| 116. |
Direction: Arrange the shapes given in the following questions in their increasing size. Circle |
| A. | BACD |
| B. | BCAD |
| C. | BCDA |
| D. | BADC |
| Answer» D. BADC | |
| 117. |
A regular octagon has ____ lines of symmetry. |
| A. | 8 |
| B. | 4 |
| C. | 2 |
| D. | 0 |
| Answer» B. 4 | |
| 118. |
How many radii can be drawn in a circle? |
| A. | \[1\] |
| B. | About\[10\] |
| C. | Over\[100\] |
| D. | Infinitely many |
| Answer» E. | |
| 119. |
The given figure is obtained by placing a rectangle on top of another identical rectangle. The length of a rectangle is 5 cm and its breadth is 2 cm. Find the perimeter of the figure. |
| A. | 20 cm |
| B. | 15 cm |
| C. | 14 cm |
| D. | 18 cm |
| Answer» B. 15 cm | |
| 120. |
The sum of the three altitudes of a triangle is ______ |
| A. | more than the sum of three sides of the triangle. |
| B. | equal to the half of the three sides of the triangle. |
| C. | less than the sum of three sides of the triangle. |
| D. | equal to the double of the three sides of the triangle. |
| E. | None of these |
| Answer» D. equal to the double of the three sides of the triangle. | |
| 121. |
In a right angled triangle, the product of its two sides equals half of the square of the third side, where third side is the hypotenuse. One of the acute angles then must be |
| A. | \[15{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[60{}^\circ \] |
| E. | None of these |
| Answer» C. \[30{}^\circ \] | |
| 122. |
MNOP is a rhombus in which the diagonal OM is produced to Q. If\[\angle \mathbf{POQ}=\text{ }\mathbf{140}{}^\circ \], then which one is correct? |
| A. | \[x=60{}^\circ \] |
| B. | \[y=50{}^\circ \] |
| C. | \[z=50{}^\circ \] |
| D. | All of the above |
| E. | None of these |
| Answer» D. All of the above | |
| 123. |
In the following figure, a hexagon is shown. Find the value of x. |
| A. | \[100{}^\circ \] |
| B. | \[89{}^\circ \] |
| C. | \[99{}^\circ \] |
| D. | \[81{}^\circ \] |
| E. | None of these |
| Answer» D. \[81{}^\circ \] | |
| 124. |
Which one of the following angles cannot be an interior angle of any convex polygon? |
| A. | \[90{}^\circ \] |
| B. | \[178{}^\circ \] |
| C. | \[1{}^\circ \] |
| D. | \[182{}^\circ \] |
| E. | None of these |
| Answer» E. None of these | |
| 125. |
A playground is in the form of square. The sum of all sides of the playground is 32 m. Find the length of its side. |
| A. | 7m |
| B. | 8 m |
| C. | 12m |
| D. | 16m |
| Answer» C. 12m | |
| 126. |
A basketball court is like a rectangle 20 metres long and 10 metres wide. What is the total sum of its lengths and breadths? |
| A. | 30 metres |
| B. | 50 metres |
| C. | 60 metres |
| D. | 200 metres |
| Answer» D. 200 metres | |
| 127. |
The value of \[x\] in the given figure. |
| A. | \[30{}^\circ \] |
| B. | \[25{}^\circ \] |
| C. | \[35{}^\circ \] |
| D. | \[45{}^\circ \] |
| Answer» C. \[35{}^\circ \] | |
| 128. |
If in \[\Delta ABC,\] \[\angle A=50{}^\circ ,\] \[\angle B=70{}^\circ ,\] \[\angle C=60{}^\circ ,\]then the ascending order of sides is |
| A. | \[AB<BC<AC\] |
| B. | \[BC<AB<AC\] |
| C. | \[AC<AB<BC\] |
| D. | \[BC<AC<AB\] |
| Answer» C. \[AC<AB<BC\] | |
| 129. |
If \[AB||CD\]then\[x=\]? |
| A. | \[100{}^\circ \] |
| B. | \[80{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[70{}^\circ \] |
| Answer» B. \[80{}^\circ \] | |
| 130. |
ABCD is a quadrilateral in which AB = BC = CD = DA and\[\angle A=\angle B=\angle C=\angle D={{90}^{o}}\], then ABCD is called |
| A. | Rhombus |
| B. | Square |
| C. | Parallelogram |
| D. | Rectangle |
| Answer» C. Parallelogram | |
| 131. |
Sahil has a field in the shape of rectangle. The length of the field is twice its breadth. The breadth is 80 m. Find the perimeter of the field |
| A. | 360 m |
| B. | 480 m |
| C. | 460 m |
| D. | 520 m |
| Answer» C. 460 m | |
| 132. |
Karan plans to cover the boundary of a park with tiles what should Karan know to make sure he buys enough tiles? |
| A. | Length of park |
| B. | The perimeter of the park |
| C. | Area of park |
| D. | None of these |
| Answer» C. Area of park | |
| 133. |
In the given figure, if all the points are joined to one another, how many line segments can be obtained? |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 10 |
| Answer» C. 4 | |
| 134. |
Number of lines that can be drawn thrown 'n' non collinear points is ________ |
| A. | \[\frac{n(n+2)}{n}\] |
| B. | \[\frac{n\left( n-1 \right)}{2}\] |
| C. | \[\frac{n+1}{2}\] |
| D. | \[\frac{n-1}{2}\] |
| Answer» C. \[\frac{n+1}{2}\] | |
| 135. |
Point, Line and plane are __________ term Geometry. |
| A. | Undefine |
| B. | Define |
| C. | Useless |
| D. | Unuseless |
| Answer» B. Define | |
| 136. |
Who is the father of Geometry |
| A. | Euclid |
| B. | Pythagoras |
| C. | Thales |
| D. | C. V. Raman |
| Answer» C. Thales | |
| 137. |
A line contains ____________ number of points. |
| A. | Finite |
| B. | Infinite |
| C. | Zero |
| D. | Two |
| Answer» C. Zero | |
| 138. |
A point is a mark of ______________ |
| A. | Position |
| B. | Dot |
| C. | Cube |
| D. | Length |
| Answer» B. Dot | |
| 139. |
Find the word that fills the blank.A_____ is a chord that Passes through the centre of the circle. |
| A. | Radius |
| B. | Chord |
| C. | Centre |
| D. | Diameter |
| Answer» E. | |
| 140. |
Find the perimeter of the given figure. |
| A. | 18 cm |
| B. | 21 cm |
| C. | 22 cm |
| D. | 24 cm |
| Answer» E. | |
| 141. |
Study the given graph. Which of the given figures show pair of intersecting lines? |
| A. | Figure 1 and 2 |
| B. | Figure 2 and 3 |
| C. | Figure 1 and 3 |
| D. | None of these |
| Answer» C. Figure 1 and 3 | |
| 142. |
M is a point on an arc BC of a circle which circumscribes an equilateral triangle ABC. Then AM is |
| A. | equal to BM + CM |
| B. | less than BM + CM |
| C. | greater than BM + CM |
| D. | equal to BM + MC |
| Answer» B. less than BM + CM | |
| 143. |
In a right angled triangle PQR right angled at P, S and T are points on PQ and PR respectively, which divide these sides on the ratio 2 : 1, then which one of the following is correct? |
| A. | \[9(Q{{T}^{2}}+R{{S}^{2}})=13\,Q{{R}^{2}}\] |
| B. | \[9\,QT=9P{{Q}^{2}}+4\,P{{R}^{2}}\] |
| C. | \[9\,R{{S}^{2}}=4\,P{{Q}^{2}}+9\,P{{R}^{2}}\] |
| D. | All the above |
| E. | None of these |
| Answer» E. None of these | |
| 144. |
PQR is a triangle in which\[\angle \]PQR = \[\mathbf{90}{}^\circ \] and a perpendicular is drawn from Q to PR which intersects PR at S. If PQ = a, QR = b, PR = c and QS = p, then which one of the following is true? |
| A. | \[cp=ab\] |
| B. | \[\frac{1}{{{p}^{2}}}=\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}\] |
| C. | \[\frac{1}{{{p}^{2}}}=\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}-\frac{1}{{{c}^{2}}}\] |
| D. | both A and B |
| E. | None of these |
| Answer» E. None of these | |
| 145. |
The number of triangles with any three of the length 1, 4, 6 and 8 cms, as sides is |
| A. | 4 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 146. |
If P= (8, 6) and R is the rotation through \[-90{}^\circ \] about O, then \[{{R}_{-90}}O(P)\] is |
| A. | (6,-8) |
| B. | (-8, -6) |
| C. | (8, 6) |
| D. | (-8, 6) |
| Answer» B. (-8, -6) | |
| 147. |
ABCD is a parallelogram. All the angles of the parallelogram are bisected. If these bisectors enclose a figure PQRS, then enclosed figure is a |
| A. | parallelogram |
| B. | rectangle |
| C. | square |
| D. | rhombus |
| Answer» C. square | |
| 148. |
The diagram shows two squares. If square I is transformed into square II by reflection what is the image of P? |
| A. | A |
| B. | B |
| C. | Q |
| D. | None of these |
| Answer» C. Q | |
| 149. |
Which among the following is the angle which is triple of its supplement? |
| A. | \[135{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[150{}^\circ \] |
| D. | \[110{}^\circ \] |
| E. | None of these |
| Answer» B. \[120{}^\circ \] | |
| 150. |
Which one among the following is incorrect pair of the angle and its complement? |
| A. | \[67{}^\circ \text{ }\Leftrightarrow \text{ }23{}^\circ \] |
| B. | \[45{}^\circ \text{ }\Leftrightarrow \text{ }45{}^\circ \] |
| C. | \[34{}^\circ \text{ }\Leftrightarrow 46{}^\circ \] |
| D. | \[42{}^\circ \text{ }\Leftrightarrow \text{ }48{}^\circ \] |
| E. | None of these |
| Answer» D. \[42{}^\circ \text{ }\Leftrightarrow \text{ }48{}^\circ \] | |