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MCQOPTIONS
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.
| 901. |
The centroid of a triangle is the point where |
| A. | the medians meet |
| B. | the altitudes meet |
| C. | the right bisectors of the sides of the triangle meet |
| D. | the bisectors of the angles of the triangle meet |
| Answer» B. the altitudes meet | |
| 902. |
If a quadrilateral has two adjacent sides equal and the other two sides equal it is called |
| A. | parallelogram |
| B. | square |
| C. | rectangle |
| D. | kite |
| Answer» E. | |
| 903. |
ABCD is a square E, F, G, H are the mid-points of the four sides. Then the figure EFGH is |
| A. | Square |
| B. | rectangle |
| C. | Trapezium |
| D. | parallelogram |
| Answer» B. rectangle | |
| 904. |
If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3:7:6:4, then PQRS is a |
| A. | Rhombus |
| B. | parallelogram |
| C. | Trapezium |
| D. | kite |
| Answer» D. kite | |
| 905. |
A diagonal of a rectangle is inclined to one side of the rectangle at\[\angle PQS\]. The acute angle between the diagonals is |
| A. | \[{{90}^{o}}\] |
| B. | \[{{42}^{o}}\] |
| C. | \[{{48}^{o}}\] |
| D. | \[{{38}^{o}}\] |
| Answer» D. \[{{38}^{o}}\] | |
| 906. |
The diagonals of a parallelogram ABCD intersect at O. If \[{{240}^{o}}\], then \[{{60}^{o}}\] is |
| A. | \[{{120}^{o}}\] |
| B. | \[{{180}^{o}}\] |
| C. | \[\angle R={{138}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» E. | |
| 907. |
In a parallelogram ABCD, if \[{{50}^{o}}\] \[{{60}^{o}}\] \[\angle BAD={{120}^{o}}\]and \[\angle BCD\] then ratio of AB: BC is |
| A. | 71:21 |
| B. | 0.507638888888889 |
| C. | 31:35 |
| D. | 0.171527777777778 |
| Answer» D. 0.171527777777778 | |
| 908. |
In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. Then, ABCD is a |
| A. | square |
| B. | parallelogram |
| C. | rhombus |
| D. | trapezium |
| Answer» B. parallelogram | |
| 909. |
The perimeter of a parallelogram is 180 cm. One side exceeds another by 10 cm. The sides of the parallelogram are |
| A. | 40 cm, 50 cm |
| B. | 45 cm each |
| C. | 50 cm each |
| D. | cannot be determined |
| Answer» B. 45 cm each | |
| 910. |
ABCD and MNOP are quadrilaterals as shown in the below given figure, then |
| A. | \[\angle BAC\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{40}^{o}}\] |
| D. | none of the foregoing |
| Answer» B. \[{{30}^{o}}\] | |
| 911. |
In figure a \[{{100}^{o}}\], E is the mid-point of AC and G is the centroid of the triangle. Then BE: GE |
| A. | 1:2 |
| B. | 0.0840277777777778 |
| C. | 3:1 |
| D. | 0.04375 |
| Answer» D. 0.04375 | |
| 912. |
RSTU is a parallelogram as shown in the figure below. Then the shown angles x and y are related |
| A. | x = y |
| B. | \[\angle BAC\] |
| C. | \[\angle ECD={{30}^{o}}\] |
| D. | can not be determined from given data |
| Answer» E. | |
| 913. |
ABCD is a quadrilateral. AB = BC = CD = DA and \[\Delta ABC\]. Then ABCD can be called |
| A. | rhombus |
| B. | square |
| C. | parallelogram |
| D. | all of the above |
| Answer» E. | |
| 914. |
The diameter of circum circle of a rectangle is 10 cm and breadth of the rectangle is 6 cm. Its length is |
| A. | 6cm |
| B. | 5cm |
| C. | 8cm |
| D. | None of these |
| Answer» D. None of these | |
| 915. |
ABCD is a parallelogram. The angle bisectors of \[\angle CPA={{45}^{o}}\] and \[\angle CBP\] meet at O. The measure of \[{{105}^{o}}\] is |
| A. | \[{{115}^{o}}\] |
| B. | \[{{135}^{o}}\] |
| C. | dependent on the angles A and D |
| D. | cannot be determined from given data |
| Answer» C. dependent on the angles A and D | |
| 916. |
If ABCD is a quadrilateral and E, F, G, H are the mid-points of AB, BC, CD and DA respectively, then EFGH is a |
| A. | rectangle |
| B. | square |
| C. | rhombus |
| D. | parallelogram |
| Answer» E. | |
| 917. |
If two lines are perpendicular to the third line, then those two lines are |
| A. | Perpendicular to each other |
| B. | parallel to each other |
| C. | Either parallel or perpendicular |
| D. | Neither parallel nor perpendicular |
| Answer» C. Either parallel or perpendicular | |
| 918. |
In the given figure, \[{{115}^{o}}\]\[{{95}^{o}}\] and \[\angle PAD={{30}^{o}}\]. If AO = 5.4 cm, OC = 7.2 cm and BO = 6 cm, then the length of DO is |
| A. | 4.5cm |
| B. | 4cm |
| C. | 5cm |
| D. | 6.5cm |
| Answer» B. 4cm | |
| 919. |
In the given figure, \[{{85}^{o}}\] and \[{{120}^{o}}\]. If BF = 4 cm, FD =6 cm and BE = 8 cm, then BC = _____ |
| A. | 12cm |
| B. | 15cm |
| C. | 25cm |
| D. | None of these |
| Answer» D. None of these | |
| 920. |
In a \[\angle BDC={{25}^{o}}\], D is any point on AB and \[\angle BDC\] meets AC at E. If AD = 2.5 cm, DB = 6 cm and AE = 3 cm, then AC = |
| A. | 8.5cm |
| B. | 10.2cm |
| C. | 5cm |
| D. | 12cm |
| Answer» C. 5cm | |
| 921. |
In the adjoining figure, a \[{{60}^{o}}\] has been given in which AD is its median, E is the mid-point of AD, BE produced meets AC at F and \[\angle CAD={{40}^{o}}\], meets AC at G. If AC = 5.4 cm then the length of AF is |
| A. | 3.6cm |
| B. | 2.7cm |
| C. | 1.8cm |
| D. | 10.8cm |
| Answer» D. 10.8cm | |
| 922. |
In the adjoining figure, it is given that D and E are the mid-points of AB and AC, respectively If \[\frac{4}{6}=\frac{8}{EA}\], \[\Rightarrow \]then \[EA=12cm.\]____ |
| A. | \[\Delta ABC\] |
| B. | \[{{15}^{o}}\] |
| C. | \[{{30}^{o}}\] |
| D. | \[{{45}^{o}}\] |
| Answer» E. | |
| 923. |
In the adjoining figure, it is given that \[{{65}^{o}}\] \[{{105}^{o}}\] and \[{{95}^{o}}\]. Then, \[{{85}^{o}}\] ______. |
| A. | \[\angle A={{60}^{o}},\] |
| B. | \[CE||BA\] |
| C. | \[\angle ECD={{65}^{o}}\] |
| D. | \[\angle ACB=\] |
| Answer» C. \[\angle ECD={{65}^{o}}\] | |
| 924. |
Two circles intersect in A and B. Quadrilaterals PCBA and ABDE are inscribed in these circles such that PAE and CBD are line segments. If \[\angle P={{82}^{o}}\] and \[\angle S\]. Find the value of z. |
| A. | \[{{98}^{o}}\] |
| B. | \[{{108}^{o}}\] |
| C. | \[\angle P={{95}^{o}}\] |
| D. | \[\angle C={{40}^{o}}\] |
| Answer» E. | |
| 925. |
In the given figure, PQRS is a cyclic trapezium in which \[{{90}^{o}}\]If\[{{42}^{o}}\]. Find\[{{48}^{o}}\]. |
| A. | \[{{38}^{o}}\] |
| B. | \[PQ||SR.\] |
| C. | Data not sufficient |
| D. | None of these |
| Answer» B. \[PQ||SR.\] | |
| 926. |
In the given figure, PQ is a diameter of a circle with centre O and PQRS is a cyclic quadrilateral. SQ is joined. If\[{{240}^{o}}\], find\[{{60}^{o}}\]. |
| A. | \[{{120}^{o}}\] |
| B. | \[{{180}^{o}}\] |
| C. | \[\angle R={{138}^{o}}\] |
| D. | \[\angle PQS\] |
| Answer» D. \[\angle PQS\] | |
| 927. |
In the given figure, \[\angle CBP\] is inscribed in a circle. The bisector of \[{{105}^{o}}\] meets BC at D and the circle at E. If EC is joined then\[{{115}^{o}}\]. Find \[{{135}^{o}}\]. |
| A. | \[\Delta ABC\] |
| B. | \[\angle BAC\] |
| C. | \[\angle ECD={{30}^{o}}\] |
| D. | \[\angle BAC\] |
| Answer» E. | |
| 928. |
Two chords AB and CD of a circle cut each other when produced outside the circle at P. AD and BC are joined. If \[{{85}^{o}}\] and\[{{120}^{o}}\]. Find \[{{115}^{o}}\] |
| A. | \[{{95}^{o}}\] |
| B. | \[\angle PAD={{30}^{o}}\] |
| C. | \[\angle CPA={{45}^{o}}\] |
| D. | None of these |
| Answer» B. \[\angle PAD={{30}^{o}}\] | |
| 929. |
Two sides of an isosceles triangle are 5 cm and 6 cm. Then the length of the third side is |
| A. | 5cm |
| B. | 6cm |
| C. | 5 cm or 6 cm |
| D. | None of these |
| Answer» D. None of these | |
| 930. |
In the given figure, two chords AB and CD of a circle intersect each other at a point E such that\[{{75}^{o}}\],\[{{105}^{o}}\]. Then find\[{{85}^{o}}\]. |
| A. | \[{{60}^{o}}\] |
| B. | \[\angle BAC={{45}^{o}}\] |
| C. | \[\angle BED={{120}^{o}}\] |
| D. | \[\angle ABD\] |
| Answer» B. \[\angle BAC={{45}^{o}}\] | |
| 931. |
In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If\[{{30}^{o}}\]and\[\angle BDC=45{}^\circ \]. Find \[{{60}^{o}}\]. |
| A. | \[{{75}^{o}}\] |
| B. | \[\angle CAD={{50}^{o}}\] |
| C. | \[\angle BED={{120}^{o}}\] |
| D. | \[\angle BCD\] |
| Answer» D. \[\angle BCD\] | |
| 932. |
In the following figure, O is the centre of the circle. Find the value of x. |
| A. | \[{{30}^{o}}\] |
| B. | \[{{40}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» E. | |
| 933. |
In the given figure, AB is a diameter of a circle with centre O. If\[{{72}^{o}}\], find\[{{54}^{o}}\]. |
| A. | \[{{27}^{o}}\] |
| B. | \[{{90}^{o}}\] |
| C. | \[\angle BOD={{120}^{o}}\] |
| D. | \[\angle ACD\] |
| Answer» B. \[{{90}^{o}}\] | |
| 934. |
In the given figure, \[\angle PAD={{30}^{o}}\] is inscribed in a circle with centre O. If the length of the chord YZ is equal to the radius of the circle, then \[\angle CPA={{45}^{o}}\] =____ |
| A. | \[\angle CBP\] |
| B. | \[{{105}^{o}}\] |
| C. | \[{{115}^{o}}\] |
| D. | \[{{135}^{o}}\] |
| Answer» C. \[{{115}^{o}}\] | |
| 935. |
In the following figure, if O is the centre of the circle, then find x. |
| A. | \[{{120}^{o}}\] |
| B. | \[{{115}^{o}}\] |
| C. | \[{{95}^{o}}\] |
| D. | None of these |
| Answer» D. None of these | |
| 936. |
In the given figure, \[{{60}^{o}}\] is inscribed in a circle with centre O. If \[\angle CAD={{40}^{o}}\], find \[\angle BDC={{25}^{o}}\]. |
| A. | \[\angle BDC\] |
| B. | \[{{85}^{o}}\] |
| C. | Cannot be determined |
| D. | None of these |
| Answer» B. \[{{85}^{o}}\] | |
| 937. |
In the following figure, find the value of x. |
| A. | \[{{15}^{o}}\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | None of these |
| Answer» C. \[{{45}^{o}}\] | |
| 938. |
48 cm long chord of a circle is at a distance of 7 cm from the centre. Find the radius of the circle. |
| A. | 5cm |
| B. | 17cm |
| C. | 25cm |
| D. | None of these |
| Answer» D. None of these | |
| 939. |
ABCD is a parallelogram in which \[\angle BCD\] and \[{{75}^{o}}\]then \[{{105}^{o}}\] |
| A. | \[{{85}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[\angle BAC={{45}^{o}}\] |
| D. | \[\angle BED={{120}^{o}}\] |
| Answer» D. \[\angle BED={{120}^{o}}\] | |
| 940. |
Which one of the given options explains the following diagram? In the given figure, ABCD is 4 quadrilateral and\[{{120}^{o}}\]then \[{{240}^{o}}\]. |
| A. | In a cyclic quadrilateral, sum of opposite angles is complementary. |
| B. | In a cyclic quadrilateral, opposite angles are equal. |
| C. | Sum of adjecent angles in a cyclic quadrilateral is supplementary. |
| D. | Sum of opposite angles is supplementary in a cyclic quadrilateral. |
| Answer» E. | |
| 941. |
Arc of a circle is |
| A. | A line segment joining any two points on a circle |
| B. | A line that passes through the centre of a circle. |
| C. | A part of a circumference is called a arc |
| D. | Perimeter of the circles |
| Answer» D. Perimeter of the circles | |
| 942. |
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): If OL = 5 cm, OA = 13 cm, then Ab = 20 cm. Reason (R): If O is the centre of the circle and P is a point outside the circle and PT is tangent to the circle. If \[{{300}^{o}}\]then \[{{240}^{o}}\] PQ is a chor of length 10 cm of a circle of radius 7 cm. The tangents at P and Q meet at T. Then, \[{{120}^{o}}\]. The perpendicular at the point of contact to the tangent of a circle will not pass through the centre. The tangents drawn at the ends of a diameter of a circle are parallel. |
| A. | Both A and R are individually true and R is the correct explanation of A. |
| B. | Both A and R are individually true but R is not the correct explanation of A. |
| C. | A is true but R is false |
| D. | A is false but R is true. |
| Answer» E. | |
| 943. |
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): If OL = 5 cm, OA = 13 cm, then AB = 20 cm. In the given circle \[{{60}^{o}}\] Reason (R): An angle in a semi-circle is a right angle. |
| A. | Both A and R are individually true and R is the correct explanation of A. |
| B. | Both A and R are individually true but R is not the correct explanation of A. |
| C. | A is true but R is false |
| D. | A is false but R is true. |
| Answer» B. Both A and R are individually true but R is not the correct explanation of A. | |
| 944. |
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): In a regular polygon, (i) all sides are equal (ii) all interior angles are equal (iii) all exterior angles are equal. Reason (R): A polygon is called regular polygon if all its sides as well as angles are equal. |
| A. | Both A and R are individually true and R is the correct explanation of A. |
| B. | Both A and R are individually true but R is not the correct explanation of A. |
| C. | A is true but R is false |
| D. | A is false but R is true. |
| Answer» B. Both A and R are individually true but R is not the correct explanation of A. | |
| 945. |
A quadrilateral in which diagonals are equal and bisect each other perpendicularly is a........... |
| A. | Square |
| B. | Rhombus which is not a square |
| C. | Rectangle which is not a square |
| D. | None of these |
| Answer» B. Rhombus which is not a square | |
| 946. |
DIRECTIONS: Following questions consist of two statement, one labelled as the ?Assertion (A)? and the other as ?Reason (R)? You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion (A): A polygon bounded by four line segments is called a quadrilateral. Reason (R): A polygon bounded by seven line segments is called a hexagon. |
| A. | Both A and R are individually true and R is the correct explanation of A. |
| B. | Both A and R are individually true but R is not the correct explanation of A. |
| C. | A is true but R is false |
| D. | A is false but R is true. |
| Answer» D. A is false but R is true. | |
| 947. |
Consider the following statements. (i) A quadrilateral in which one pair of opposite sides are parallel is called trapegium. (ii) A quadrilateral with both pair of opposite sides parallel is called a parallelogram. (iii) A parallelogram with a pair of adjacent sides equal is called a rhombus. (iv) A parallelogram with each angle as right angle is called a rectangle. Which of the following statements is/are correct? |
| A. | Only (i) |
| B. | (i) and (ii) |
| C. | Only (iv) |
| D. | All of the above |
| Answer» E. | |
| 948. |
In the figure given below PS is the diameter. Points P, Q, R, and T, S, R, are collinear. Then, \[{{120}^{o}}\] is equal to |
| A. | \[{{360}^{o}}\] |
| B. | \[{{90}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{270}^{o}}\] |
| Answer» E. | |
| 949. |
In this figure, FED is a straight line, \[\angle P=\angle R={{100}^{o}}\] is equal to |
| A. | \[\angle S={{75}^{o}}\] |
| B. | \[\angle Q\] |
| C. | \[{{50}^{o}}\] |
| D. | \[{{85}^{o}}\] |
| Answer» B. \[\angle Q\] | |
| 950. |
In the given circle, 0 is the centre and\[{{50}^{o}}\]. Then \[{{55}^{o}}\] is equal to |
| A. | \[{{108}^{o}},{{72}^{o}}\] |
| B. | \[{{72}^{o}},{{36}^{o}}\] |
| C. | \[{{100}^{o}},{{80}^{o}}\] |
| D. | \[{{144}^{o}},{{36}^{o}}\] |
| Answer» D. \[{{144}^{o}},{{36}^{o}}\] | |