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MCQOPTIONS
This section includes 1900 Mcqs, each offering curated multiple-choice questions to sharpen your 9th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1051. |
The sides of an equilateral triangle are (2a - b + 5), (a + b) and (2b - a + 2). What is the area of the triangle? |
| A. | \[\frac{\sqrt{3}}{4}\times {{a}^{2}}\] |
| B. | \[\frac{\sqrt{3}}{4}\times {{b}^{2}}\] |
| C. | \[\frac{\sqrt{3}}{4}\times 49\] |
| D. | \[\frac{\sqrt{3}}{4}\times 81\] |
| Answer» D. \[\frac{\sqrt{3}}{4}\times 81\] | |
| 1052. |
The base of an isosceles triangle measures 24 cm and its area is\[192\text{ }c{{m}^{2}}.\] Find its perimeter. |
| A. | 64 cm |
| B. | 46 cm |
| C. | 84 cm |
| D. | 54 cm |
| Answer» B. 46 cm | |
| 1053. |
If the altitude of an equilateral triangle is \[\sqrt{6}\,cm,\]what is its area? |
| A. | \[2\sqrt{3}\,c{{m}^{2}}\] |
| B. | \[2\sqrt{2}\,c{{m}^{2}}\] |
| C. | \[3\sqrt{3}\,c{{m}^{2}}\] |
| D. | \[6\sqrt{2}\,c{{m}^{2}}\] |
| Answer» B. \[2\sqrt{2}\,c{{m}^{2}}\] | |
| 1054. |
Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of ` 7 per \[{{m}^{2}}.\] |
| A. | ` 9500 |
| B. | ` 11000 |
| C. | ` 10500 |
| D. | ` 12500 |
| Answer» D. ` 12500 | |
| 1055. |
The perimeter of a triangle is 60 m and its sides are in the ratio 5:12:13, Find the length of the altitude of the triangle corresponding to the longest side. |
| A. | \[9\frac{3}{13}m\] |
| B. | \[5\frac{4}{12}m\] |
| C. | \[6\frac{9}{11}m\] |
| D. | \[7\frac{2}{15}m\] |
| Answer» B. \[5\frac{4}{12}m\] | |
| 1056. |
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field. |
| A. | \[~196\,c{{m}^{2}}\] |
| B. | \[~186\,c{{m}^{2}}\] |
| C. | \[~169\,c{{m}^{2}}\] |
| D. | \[~199\,c{{m}^{2}}\] |
| Answer» B. \[~186\,c{{m}^{2}}\] | |
| 1057. |
The sides of a triangle are 11 cm, 15 cm and 16 cm. Find the measure of the altitude to the largest side. |
| A. | \[30\sqrt{7}\,cm\] |
| B. | \[\frac{15\sqrt{7}}{2}\,cm\] |
| C. | \[\frac{15\sqrt{7}}{4}\,cm\] |
| D. | 30 cm |
| Answer» D. 30 cm | |
| 1058. |
The sides of a triangle are 11 cm, 15 err, and 16 cm. The altitude to the largest side is____. |
| A. | \[30\sqrt{7}\,cm\] |
| B. | \[\frac{15\sqrt{7}}{2}\,cm\] |
| C. | \[\frac{15\sqrt{7}}{4}\,cm\] |
| D. | \[30\,cm\] |
| Answer» D. \[30\,cm\] | |
| 1059. |
The adjacent sides of a parallelogram are 8 cm and 9 cm. The diagonal joining the ends of these sides is 13 cm. Find its area. |
| A. | \[72\,c{{m}^{2}}\] |
| B. | \[12\sqrt{35}\,c{{m}^{2}}\] |
| C. | \[24\sqrt{35}\,c{{m}^{2}}\] |
| D. | \[150\,c{{m}^{2}}\] |
| Answer» C. \[24\sqrt{35}\,c{{m}^{2}}\] | |
| 1060. |
In the given figure, AABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7 cm. On base BC a parallelogram DBCE of same area as that of \[\Delta ABC\] is constructed. Find the height DF of the parallelogram. |
| A. | 3 cm |
| B. | 6 cm |
| C. | 4 cm |
| D. | 2 cm |
| Answer» B. 6 cm | |
| 1061. |
The area of a rhombus is \[28\text{ }c{{m}^{2}}\]and one of its diagonals is 4 cm. What is its perimeter? |
| A. | \[4\sqrt{53}\,cm\] |
| B. | \[36\,cm\] |
| C. | \[2\sqrt{53}\,cm\] |
| D. | 52 cm |
| Answer» B. \[36\,cm\] | |
| 1062. |
The area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm is \[k\sqrt{30}\,c{{m}^{2}}.\] Find the value of k. |
| A. | 8 |
| B. | 6 |
| C. | 7 |
| D. | 9 |
| Answer» B. 6 | |
| 1063. |
The perimeter of a rhombus is 52 cm and one of its diagonals is 24 cm. Determine the length of the other diagonal. |
| A. | 24 cm |
| B. | 10 cm |
| C. | \[2\frac{1}{6}cm\] |
| D. | 12cm |
| Answer» C. \[2\frac{1}{6}cm\] | |
| 1064. |
In the given figure, the area of the \[\Delta ABC\] is |
| A. | \[13.24\,c{{m}^{2}}\] |
| B. | \[~12.28\,c{{m}^{2}}\] |
| C. | \[~11.32\,c{{m}^{2}}\] |
| D. | \[~15.37\,c{{m}^{2}}\] |
| Answer» C. \[~11.32\,c{{m}^{2}}\] | |
| 1065. |
The perimeter of a triangular field is 144 m and the ratio of its sides is 3 :4 :5. Find the area of the field. |
| A. | 864 sq. m |
| B. | 764 sq. m |
| C. | 854 sq. m |
| D. | 754 sq. m |
| Answer» B. 764 sq. m | |
| 1066. |
ABCD is a quadrilateral. If P, Q, R, S are the points of trisection of the sides AB, BC, CD and DA respectively and are adjacent to A and C, then PQRS is a |
| A. | square |
| B. | rectangle |
| C. | rhombus |
| D. | parallelogram |
| Answer» E. | |
| 1067. |
The sides AB and DC of a cyclic quadrilateral ABCD are produced to meet at P, the sides AD and BC are produced to meet at Q. If \[\angle \,ADC=85{}^\circ \] and \[\angle \,BPC=40{}^\circ \], then \[\angle \,CQD\] equals |
| A. | \[30{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[75{}^\circ \] |
| Answer» B. \[45{}^\circ \] | |
| 1068. |
If the sum of the diagonal of a rhombus is 10 cm and its perimeter is \[4\sqrt{13}\,cm\], then the lengths of its diagonals are |
| A. | 5, 5 |
| B. | 6, 4 |
| C. | 7,3 |
| D. | 8,2 |
| Answer» C. 7,3 | |
| 1069. |
If O, G and H are the circumcentre, the centroid and the orthocentre of a triangle ABC, then |
| A. | O divides GH in the ratio 1 : 2 |
| B. | G divides OH in the ratio 1 : 2 |
| C. | H divides OG in the ratio 1 : 2 |
| D. | O divides GH in the ratio 2 : 1 |
| Answer» C. H divides OG in the ratio 1 : 2 | |
| 1070. |
In the diagram two equal circles of radius 4 cm intersect each other such that each passes through the centre of the other. Find the length of the common chord. |
| A. | \[2\sqrt{3}\,cm\] |
| B. | \[4\sqrt{3}\,cm\] |
| C. | \[4\sqrt{2}\,cm\] |
| D. | \[8 cm\] |
| Answer» C. \[4\sqrt{2}\,cm\] | |
| 1071. |
Any interior angle of a regular polygon exceeds the exterior angle by 100? The number of sides of the polygon is |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 6 |
| Answer» D. 6 | |
| 1072. |
In a circle with centre O, \[OD\bot \]chord AB. If BC is the diameter, then |
| A. | AC = BC |
| B. | OD = BD |
| C. | AC = 2OD |
| D. | None of these |
| Answer» D. None of these | |
| 1073. |
If AD, BE and CF are the medians of \[\Delta \,ABC\] then which one of the following statements is correct? |
| A. | (AD 4- BE + CF) = (AB + BC + CD) |
| B. | (AD + BE + CD) > -3 (AB + BC + CA) |
| C. | (AD + BE + CF) < 3- (AB + BC + CA) |
| D. | (AD + BE + CF) = - (AB + BC + CA) |
| Answer» C. (AD + BE + CF) < 3- (AB + BC + CA) | |
| 1074. |
In the given figure, if \[\mathbf{a}\text{ }+\text{ }\mathbf{c}\text{ }=\text{ }\mathbf{205}{}^\circ \] and \[\mathbf{0}\text{ }=\text{ }\mathbf{80}{}^\circ \], also \[\mathbf{N}\text{ }=\text{ }\mathbf{a}\], then _______ |
| A. | \[P=80{}^\circ \] |
| B. | \[M=105{}^\circ \] |
| C. | \[\frac{3}{5}(M+c)=105{}^\circ \] |
| D. | \[N+d=180{}^\circ \] |
| E. | None of these |
| Answer» D. \[N+d=180{}^\circ \] | |
| 1075. |
In the given figure, line RT is drawn parallel to \[SQ.\text{ }\,\text{If}~\,\angle QPS=100{}^\circ ,~\,\angle PQS=40{}^\circ ,\,\,\angle PSR=85{}^\circ \text{ }and\,\,\angle QRS~=70{}^\circ ,\text{ }then~\,\angle QRT\] is |
| A. | \[45{}^\circ \] |
| B. | \[65{}^\circ \] |
| C. | \[85{}^\circ \] |
| D. | \[90{}^\circ \] |
| Answer» C. \[85{}^\circ \] | |
| 1076. |
The number of lines of symmetry in parallelogram is |
| A. | one |
| B. | zero |
| C. | two |
| D. | four |
| Answer» C. two | |
| 1077. |
What is the sum of \[\angle \,BAD+\angle \,BPR+\angle \,BCD+\angle \,BQR\] in the diagram |
| A. | \[540{}^\circ \] |
| B. | \[360{}^\circ \] |
| C. | \[240{}^\circ \] |
| D. | None of the above |
| Answer» C. \[240{}^\circ \] | |
| 1078. |
In quadrilateral ABCD, the sides and diagonals are related as |
| A. | AB + BC + CD + DA > AC + BD |
| B. | AB + BC + CD + DA < AC + BD |
| C. | AB + BC + CD + DA= AC + BD |
| D. | AB + BC + CD + DA > AC\[\Delta \]BD |
| Answer» B. AB + BC + CD + DA < AC + BD | |
| 1079. |
In \[\Delta \,ABC\], \[\angle \,B=90\], AB = 8 cm and BC = 6 cm. The length of the median BM is |
| A. | 3 cm |
| B. | 5 cm |
| C. | 4 cm |
| D. | 7 cm |
| Answer» C. 4 cm | |
| 1080. |
If the angle in a major segment is x and in a minor segment is y, then |
| A. | \[x=y\] |
| B. | \[x>y\] |
| C. | \[x+y=180{}^\circ \] |
| D. | \[x<y\] |
| Answer» E. | |
| 1081. |
In a trapezium \[\Delta \,BCD\], AB is parallel to DC and AB = 2 DC. If AC and BD meet at 0, then area of \[\Delta \,AOB\] is equal to |
| A. | the area of \[\Delta \,COD\] |
| B. | twice the area of \[\Delta \,COD\] |
| C. | thrice the area of \[\Delta \,COD\] |
| D. | four times the area of \[\Delta \,COD\] |
| Answer» E. | |
| 1082. |
ABCD is a trapezium in which AB is parallel to DC. If the diagonals intersect at C, then which one of the following is correct? |
| A. | \[\frac{OA}{OC}=\frac{OB}{OD}\] |
| B. | \[\frac{AD}{BC}=\frac{AB}{DC}\] |
| C. | \[\frac{OB}{OD}=\frac{BC}{CD}\] |
| D. | \[\frac{OA}{OC}=\frac{DA}{DC}\] |
| Answer» B. \[\frac{AD}{BC}=\frac{AB}{DC}\] | |
| 1083. |
In a \[\Delta \,ABC\], the sides AB, BC and CA are 10 cm, 8 cm and 7 cm respectively. In AB, a point P is taken such that AP = 4 cm. If PQ is drawn parallel to BC, then its length is equal to |
| A. | 4.0 cm |
| B. | 3.8 cm |
| C. | 3.5 cm |
| D. | 3.2 cm |
| Answer» E. | |
| 1084. |
If two parallel lines are intersected by a transverse line, then the bisectors of the interior angles forms a |
| A. | square |
| B. | rectangle |
| C. | parallelogram |
| D. | trapezium |
| Answer» C. parallelogram | |
| 1085. |
In the following figure, \[\mathbf{AB}\text{ }\parallel \text{ }\mathbf{CD}\] and\[\angle \mathbf{ABR}\text{ }=\text{ }\mathbf{115}{}^\circ \], \[\angle \mathbf{BRC}\text{ }=\text{ }\mathbf{40}{}^\circ \] and\[\mathbf{1}.~~~~~~~~~~~\angle \mathbf{R}CD=\mathbf{x}{}^\circ \]. Find the value of x°. |
| A. | \[140{}^\circ \] |
| B. | \[25{}^\circ \] |
| C. | \[75{}^\circ \] |
| D. | \[155{}^\circ \] |
| E. | None of these |
| Answer» E. None of these | |
| 1086. |
Two angles are called adjacent if |
| A. | they lie in the same plane and have a common vertex |
| B. | they have a ray in common |
| C. | the intersection of their interiors is empty |
| D. | all the above |
| Answer» E. | |
| 1087. |
In the adjoining figure, BD and CD are angle bisectors. Then, which of the following is true? |
| A. | \[\angle \,D=\frac{1}{2}\,\,\angle \,A\] |
| B. | \[\angle \,x+\angle \,y=\angle \,A+\angle \,D\] |
| C. | \[\angle \,D=\frac{\angle \,x+\angle \,y}{2}\] |
| D. | All of above |
| Answer» B. \[\angle \,x+\angle \,y=\angle \,A+\angle \,D\] | |
| 1088. |
The angles of a triangle, in ascending order are \[x,y,z\] and \[y-x=z-y=10{}^\circ \]. The smallest angle is |
| A. | \[40{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[50{}^\circ \] |
| D. | \[70{}^\circ \] |
| Answer» D. \[70{}^\circ \] | |
| 1089. |
The angle which is one-fifth its supplement is |
| A. | \[15{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» C. \[45{}^\circ \] | |
| 1090. |
The angle which is one-fifth of its complement is |
| A. | \[15{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» B. \[30{}^\circ \] | |
| 1091. |
A rectangle ABCD is inscribed in a circle with centre O. If AC is the diagonal and \[\angle \,\text{BAC}\,\text{= 30}{}^\circ \], then radius of the circle will be equal to |
| A. | \[\frac{\sqrt{3}}{2}BC\] |
| B. | BC |
| C. | \[\sqrt{3}\,\,BC\] |
| D. | 2 BC |
| Answer» C. \[\sqrt{3}\,\,BC\] | |
| 1092. |
Two beams of length \[{{l}_{1}}\] and \[{{l}_{2}}\] are leaning on opposite sides of a thin vertical wall meeting at the same point on the wall and making angles \[30{}^\circ \]and \[60{}^\circ \] with it respectively. Then \[{{l}_{2}}\] is equal to |
| A. | \[\frac{{{l}_{1}}}{2}\] |
| B. | \[2{{l}_{1}}\] |
| C. | \[{{l}_{1}}\sqrt{2}\] |
| D. | \[{{l}_{1}}\sqrt{3}\] |
| Answer» E. | |
| 1093. |
Consider the following statements relating to 3 lines \[{{L}_{1}},\,{{L}_{2}}\] and \[{{L}_{3}}\] in the same plane 1. If \[{{L}_{2}}\] and \[{{L}_{3}}\] are both parallel to \[{{L}_{1}}\], then they are parallel to each other.2. If \[{{L}_{2}}\] and \[{{L}_{3}}\]are both perpendicular to \[{{L}_{1}}\], then they are parallel to each other.3. If the acute angle between \[{{L}_{1}}\] and \[{{L}_{2}}\] is equal to te acute angle between \[{{L}_{1}}\] and \[{{L}_{3}}\], then \[{{L}_{2}}\] is parallel to\[{{L}_{3}}\].. |
| A. | 1 and 2 are correct |
| B. | 1 and 3 are correct |
| C. | 2 and 3 are correct |
| D. | 1, 2 and 3 are correct |
| Answer» E. | |
| 1094. |
AB and CD are parallel line segments of lengths 8 cm and 7 cm respectively. If AD and BC intersect at O and AO = 16 cm, then OD is equal to |
| A. | 14 cm |
| B. | 15 cm |
| C. | 16cm |
| D. | 18 cm |
| Answer» B. 15 cm | |
| 1095. |
In the figure PQ II ST, then ZQRS is equal to |
| A. | \[30{}^\circ \] |
| B. | \[40{}^\circ \] |
| C. | \[50{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» B. \[40{}^\circ \] | |
| 1096. |
If each interior angle of a regular polygon is 3 times its exterior angle, the number of sides of the polygon is : |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 8 |
| E. | None of these |
| Answer» E. None of these | |
| 1097. |
In the shown figure, if \[\mathbf{PQ}\text{ }\parallel \text{ }\mathbf{MN}\] and\[\mathbf{NO}\text{ }\parallel \text{ }\mathbf{QR}\], then which of the following conditions can be true? |
| A. | \[x\text{ }=\text{ }y\] |
| B. | \[x+y=90{}^\circ \] |
| C. | \[x\text{ }+\text{ }y=180{}^\circ ~\] |
| D. | \[x=90{}^\circ +y\] |
| E. | None of these |
| Answer» D. \[x=90{}^\circ +y\] | |
| 1098. |
At 4.24 pm, how many degrees has the hour hand of a clock moved from its position at noon? |
| A. | \[132{}^\circ \] |
| B. | \[135{}^\circ \] |
| C. | \[140{}^\circ \] |
| D. | \[145{}^\circ \] |
| Answer» B. \[135{}^\circ \] | |
| 1099. |
In the figure if \[\text{BD}\,\text{ }\!\!|\!\!\text{ }\,\text{ }\!\!|\!\!\text{ }\,\text{EF}\], then \[\angle \,\text{CEF}\] is |
| A. | \[100{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[140{}^\circ \] |
| D. | \[160{}^\circ \] |
| Answer» D. \[160{}^\circ \] | |
| 1100. |
In the given figure, \[\angle \,\text{ADC}\] is |
| A. | \[30{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[80{}^\circ \] |
| Answer» C. \[70{}^\circ \] | |