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This section includes 2318 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.
| 951. |
Which of the following statement (s) is/are true? |
| A. | A parallelogram in which two adjacent angles are equal is a rectangle. |
| B. | A quadrilateral in which both pairs of opposite angles are equal is parallelogram. |
| C. | In a parallelogram the number of acute angles is zero (or) two |
| D. | All the above |
| Answer» E. | |
| 952. |
If ABCD is a parallelogram, then \[{{45}^{o}}\] |
| A. | \[{{60}^{o}}\] |
| B. | \[{{75}^{o}}\] |
| C. | \[\angle CAD={{50}^{o}}\] |
| D. | \[\angle BED={{120}^{o}}\] |
| Answer» C. \[\angle CAD={{50}^{o}}\] | |
| 953. |
Which of the following statement(s) is/are false? |
| A. | Two triangles having same area are congruent. |
| B. | If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent. |
| C. | If the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent. |
| D. | All the above |
| Answer» E. | |
| 954. |
Which of the following statements is true? |
| A. | Two line segments having the same length are congruent. |
| B. | Two squares having the same side length are congruent. |
| C. | Two circles having the same radius are congruent. |
| D. | All the above |
| Answer» E. | |
| 955. |
In this figure, \[\angle ABC={{90}^{o}}\] is equal to |
| A. | \[\therefore \] |
| B. | \[\therefore \] |
| C. | \[{{25}^{o}}\] |
| D. | \[{{40}^{o}}\] |
| Answer» C. \[{{25}^{o}}\] | |
| 956. |
AB is a diameter of a circle with centre O and radius OD is perpendicular to AB. If C is any point on arc DB, then the measures of \[\angle 4=\angle 2\] and \[\angle 6=\angle 3\] will be |
| A. | \[\angle 1=\angle 2\] |
| B. | \[\angle 3=\angle 5\] |
| C. | \[{{180}^{o}}\] |
| D. | \[\angle 1+\angle 3={{180}^{o}}\] |
| Answer» D. \[\angle 1+\angle 3={{180}^{o}}\] | |
| 957. |
The interior angle of a regular polygon exceeds the exterior angle by\[\frac{AB}{BC}=\frac{PQ}{QR}\]. Then the number of sides in the polygon is |
| A. | 12 |
| B. | 13 |
| C. | 14 |
| D. | 15 |
| Answer» E. | |
| 958. |
In the above figure, the measure of\[{{90}^{o}}\]is |
| A. | \[{{60}^{o}}\] |
| B. | \[{{45}^{o}}\] |
| C. | \[{{105}^{o}}\] |
| D. | \[\therefore \] |
| Answer» C. \[{{105}^{o}}\] | |
| 959. |
A quadrilateral in which both pairs of opposite sides are parallel is a........... |
| A. | Square |
| B. | rhombus |
| C. | Rectangle |
| D. | parallelogram |
| Answer» E. | |
| 960. |
In the given figure \[{{270}^{o}}\], O is the centroid of \[{{60}^{o}}\] PQ = 5 cm and QR = 12 cm, then OQ is equal to: |
| A. | \[{{300}^{o}}\] |
| B. | \[{{240}^{o}}\] |
| C. | \[{{120}^{o}}\] |
| D. | \[{{120}^{o}}\] |
| Answer» C. \[{{120}^{o}}\] | |
| 961. |
The diagonals of a quadrilateral intersect at right angles and it has exactly one axis of symmetry. The quadrilateral is a: |
| A. | Square |
| B. | rhombus |
| C. | Kite |
| D. | None of these |
| Answer» D. None of these | |
| 962. |
In the figure BD = DC and\[{{50}^{o}}\]. The value of \[{{85}^{o}}\]is: |
| A. | \[{{120}^{o}}\] |
| B. | \[{{360}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» D. \[{{90}^{o}}\] | |
| 963. |
In figure \[\angle P=\angle R={{100}^{o}}\] If \[\angle S={{75}^{o}}\] The ratio of the areas of \[\angle Q\] and the trapezium BCED is: |
| A. | 3:5 |
| B. | 0.386111111111111 |
| C. | 6:9 |
| D. | None of these |
| Answer» C. 6:9 | |
| 964. |
From the given information in the figure. The value of \[{{55}^{o}}\]is: |
| A. | \[{{108}^{o}},{{72}^{o}}\] |
| B. | \[{{72}^{o}},{{36}^{o}}\] |
| C. | \[{{100}^{o}},{{80}^{o}}\] |
| D. | \[{{144}^{o}},{{36}^{o}}\] |
| Answer» D. \[{{144}^{o}},{{36}^{o}}\] | |
| 965. |
If r = 2.5, AB = 3, OP = 4.5, find PB approximate to two places of decimal. |
| A. | 2.53 |
| B. | 2.72 |
| C. | 3.15 |
| D. | 2.75 |
| Answer» B. 2.72 | |
| 966. |
Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. The radius of the circle is |
| A. | 13cm |
| B. | 8cm |
| C. | 5cm |
| D. | 7cm |
| Answer» B. 8cm | |
| 967. |
Consider the following statements: (1) The diagonals of a parallelogram are equal (2) The diagonals of a rectangle are perendicular to each other (3) If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus. (4) Every quadrilateral is either a trapezium or a parallelogram or a kite. Which of the above statements is/are correct? |
| A. | Only 2 |
| B. | Only 3 |
| C. | Both 2 & 3 |
| D. | All of them |
| Answer» D. All of them | |
| 968. |
In the below given figure, find\[\angle AOB\]. |
| A. | \[{{10}^{o}}\] |
| B. | \[{{40}^{o}}\] |
| C. | \[{{50}^{o}}\] |
| D. | None of these |
| Answer» D. None of these | |
| 969. |
The magnitude of\[\angle ABC,\] if\[\angle AOC=120{}^\circ \]will be |
| A. | \[125{}^\circ \] |
| B. | \[\angle 1+\angle 2+\angle 3+\angle 4<\angle 5+\angle 6+\angle 7+\angle 8\] |
| C. | \[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\] |
| D. | \[AB=2x+5,\] |
| Answer» C. \[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\] | |
| 970. |
In \[\Delta PQR,\]\[PQ=PR,\]\[\angle QPR\]is equal to |
| A. | \[20{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[40{}^\circ \] |
| D. | \[50{}^\circ \] |
| Answer» B. \[30{}^\circ \] | |
| 971. |
If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is |
| A. | Isosceles |
| B. | scalene |
| C. | Equilateral |
| D. | right angled |
| Answer» D. right angled | |
| 972. |
Each interior angle of a regular polygon of n sides \[{{120}^{o}}\] contains |
| A. | 4n |
| B. | \[{{360}^{o}}\]right angles |
| C. | \[{{90}^{o}}\] right angles |
| D. | \[\frac{2(n-2)}{n}\]right angles |
| Answer» E. | |
| 973. |
The sum of angles of a quadrilateral is |
| A. | \[180{}^\circ \] |
| B. | \[360{}^\circ \] |
| C. | \[270{}^\circ \] |
| D. | none of these |
| Answer» C. \[270{}^\circ \] | |
| 974. |
The angle which is one fifth of its supplement is |
| A. | \[15{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» C. \[45{}^\circ \] | |
| 975. |
The angle which exceeds its complement by \[20{}^\circ \]is |
| A. | \[45{}^\circ \] |
| B. | \[55{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[110{}^\circ \] |
| Answer» B. \[55{}^\circ \] | |
| 976. |
The sum of the exterior angles of a hexagon is |
| A. | \[360{}^\circ \] |
| B. | \[540{}^\circ \] |
| C. | \[720{}^\circ \] |
| D. | none of these |
| Answer» B. \[540{}^\circ \] | |
| 977. |
In a parallelogram ABCD, diagonals AC and BD intersect at O. If AO = 5 cm, then AC =........... |
| A. | 5cm |
| B. | 20cm |
| C. | 10cm |
| D. | None of these |
| Answer» D. None of these | |
| 978. |
In the following figure, HOPE is a parallelogram. Find the value of ?(x-y). |
| A. | 7 |
| B. | \[\frac{21}{2}\] |
| C. | 21 |
| D. | 14 |
| E. | None of these |
| Answer» D. 14 | |
| 979. |
In the following figure, find the measure of m° where ABCD and PQRS are the parallelograms. |
| A. | \[46{}^\circ \] |
| B. | \[34{}^\circ \] |
| C. | \[62{}^\circ \] |
| D. | \[39{}^\circ \] |
| E. | None of these |
| Answer» B. \[34{}^\circ \] | |
| 980. |
Two adjacent angles of a parallelogram are \[(5x+1){}^\circ ~\]and \[(6x-8){}^\circ ~\]. The angles of the parallelogram are_____. |
| A. | \[86{}^\circ ,\text{ }94{}^\circ ,\text{ }86{}^\circ ,\text{ }94{}^\circ \] |
| B. | \[76{}^\circ ,\text{ }104{}^\circ ,\text{ }76{}^\circ ,\text{ }104{}^\circ \] |
| C. | \[84{}^\circ ,\text{ }96{}^\circ ,\text{ }84{}^\circ ,\text{ }96{}^\circ \] |
| D. | \[78{}^\circ ,\,\,{{120}^{o}},\text{ }78{}^\circ ,\text{ }102{}^\circ \] |
| E. | Name of these |
| Answer» B. \[76{}^\circ ,\text{ }104{}^\circ ,\text{ }76{}^\circ ,\text{ }104{}^\circ \] | |
| 981. |
In the shown figure, the bisectors of \[\angle P\]and \[\angle Q\] meet at a point T. If \[\angle r=116{}^\circ \] and \[\angle S=64{}^\circ \] then find the measure of\[\angle PTQ\]. |
| A. | \[30{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[80{}^\circ \] |
| D. | \[90{}^\circ \] |
| E. | None of these |
| Answer» E. None of these | |
| 982. |
If PQRS is a parallelogram in which \[\angle SPO=40{}^\circ \], \[\angle OPQ=25{}^\circ \] and \[\angle SOR==75{}^\circ \], then which one of the following is incorrect? |
| A. | \[\angle QRO=40{}^\circ \] |
| B. | \[\angle PQO=80{}^\circ \] |
| C. | \[\angle PSO=25{}^\circ ~\] |
| D. | \[\angle RQO=35{}^\circ \] |
| E. | None of these |
| Answer» D. \[\angle RQO=35{}^\circ \] | |
| 983. |
Two angles of a quadrilateral are of measure \[74{}^\circ \] and the other two angles are equal. What is the measure of equal angles? |
| A. | \[105{}^\circ \] |
| B. | \[106{}^\circ \] |
| C. | \[108{}^\circ \] |
| D. | \[112{}^\circ \] |
| E. | None of these |
| Answer» C. \[108{}^\circ \] | |
| 984. |
In the following figure diagonals of a rectangle PQRS meet at 0. If \[\angle QOR=64{}^\circ \], then find\[\angle OSP\]. |
| A. | \[68{}^\circ \] |
| B. | 58° |
| C. | \[62{}^\circ \] |
| D. | \[72{}^\circ \] |
| E. | None of these |
| Answer» C. \[62{}^\circ \] | |
| 985. |
Two adjacent angles of a parallelogram are \[(6x-~16{}^\circ )\]and\[\left( 7x\text{ }+\text{ }14{}^\circ \right)\]. Find the angles of the parallelogram. |
| A. | \[75{}^\circ ,\text{ }105{}^\circ ,\text{ }75{}^\circ ,\text{ }105{}^\circ \] |
| B. | \[72{}^\circ ,\text{ }108{}^\circ ,\text{ }72{}^\circ ,\text{ }108{}^\circ \] |
| C. | \[68{}^\circ ,\text{ }112{}^\circ ,\text{ }68{}^\circ ,\text{ }112{}^\circ \] |
| D. | \[58{}^\circ ,\text{ }122{}^\circ ,\text{ }58{}^\circ ,\text{ }122{}^\circ \] |
| E. | None of these |
| Answer» D. \[58{}^\circ ,\text{ }122{}^\circ ,\text{ }58{}^\circ ,\text{ }122{}^\circ \] | |
| 986. |
In a regular hexagon MNOPQR, determine the greatest angle of MNQ. |
| A. | \[30{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[120{}^\circ \] |
| E. | None of these |
| Answer» D. \[120{}^\circ \] | |
| 987. |
Determine the value of \[\angle A+\angle B+\angle C+\angle D+\angle E\]from the following figure. |
| A. | \[320{}^\circ \] |
| B. | \[340{}^\circ \] |
| C. | \[180{}^\circ \] |
| D. | \[360{}^\circ \] |
| E. | None of these |
| Answer» D. \[360{}^\circ \] | |
| 988. |
The interior angle of a regular pentagon is three times the exterior angle of a regular ____ |
| A. | heptagon |
| B. | octagon |
| C. | nonagon |
| D. | decagon |
| E. | None of these |
| Answer» E. None of these | |
| 989. |
In the following figure. Find the value of m. |
| A. | \[121{}^\circ \] |
| B. | \[131{}^\circ \] |
| C. | \[125{}^\circ \] |
| D. | \[135{}^\circ \] |
| E. | None of these |
| Answer» C. \[125{}^\circ \] | |
| 990. |
Find the value of m in the following Figure. |
| A. | \[96{}^\circ \] |
| B. | \[100{}^\circ \] |
| C. | \[106{}^\circ \] |
| D. | \[108{}^\circ \] |
| E. | None of these |
| Answer» D. \[108{}^\circ \] | |
| 991. |
In a parallelogram RISE if OI = 4 cm and RS is 6 cm more than El, then find RO. (See the shown figure) |
| A. | 6 cm |
| B. | 7 cm |
| C. | 6.5 cm |
| D. | 7.5 cm |
| E. | None of these |
| Answer» C. 6.5 cm | |
| 992. |
One angle of a quadrilateral is \[116{}^\circ \] and the remaining three angles are in the ratio of\[1:2:1\]. Find the greatest angle of the quadrilateral. |
| A. | \[116{}^\circ \] |
| B. | \[118{}^\circ \] |
| C. | \[122{}^\circ \] |
| D. | \[132{}^\circ \] |
| E. | None of these |
| Answer» D. \[132{}^\circ \] | |
| 993. |
In the figure shown below, \[OS\bot ~OP,\text{ }OQ~\bot ~OT\]and OR is bisector of\[\angle SOQ\]. If \[\angle POT=48{}^\circ ,\]then find the measure of\[\angle ROS\]. |
| A. | \[24{}^\circ \] |
| B. | \[48{}^\circ \] |
| C. | \[42{}^\circ \] |
| D. | \[34{}^\circ \] |
| E. | None of these |
| Answer» B. \[48{}^\circ \] | |
| 994. |
Which among the following digit has two lines of symmetry? |
| A. | 6 |
| B. | 8 |
| C. | 9 |
| D. | 5 |
| E. | None of these |
| Answer» C. 9 | |
| 995. |
The number of lines of symmetry for a parallelogram is _____ |
| A. | 4 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| E. | None of these |
| Answer» D. 2 | |
| 996. |
In the following figure, \[PQ||TU\left| \text{ } \right|RS\] and\[PT\left| \text{ } \right|RQ\]. Find the value of x. |
| A. | \[80{}^\circ \] |
| B. | \[70{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[100{}^\circ \] |
| E. | None of these |
| Answer» E. None of these | |
| 997. |
The maximum number of obtuse angles in a quadrilateral can be ____ |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| E. | None of these |
| Answer» C. 2 | |
| 998. |
Which one among the following closed curve is not a polygon? |
| A. | IV |
| B. | III |
| C. | II |
| D. | I |
| E. | None of these |
| Answer» B. III | |
| 999. |
In the figure below, the measure of \[\angle \]A of the trapezium ABCD, is _____ |
| A. | \[105{}^\circ \] |
| B. | \[65{}^\circ \] |
| C. | \[55{}^\circ \] |
| D. | \[115{}^\circ \] |
| E. | None of these |
| Answer» E. None of these | |
| 1000. |
In a quadrilateral if angles are arranged in ascending order then each next angle becomes twice the first. Find the least angle of the quadrilateral. |
| A. | \[28{}^\circ \] |
| B. | \[24{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[36{}^\circ \] |
| E. | None of these |
| Answer» B. \[24{}^\circ \] | |