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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.
| 1001. |
The sides of a triangle are in the ratio of 13:14:15 and its perimeter is 84 cm. Determine the area of the triangle. |
| A. | \[~136\,c{{m}^{2}}\] |
| B. | \[~236\,c{{m}^{2}}\] |
| C. | \[~336\text{ }c{{m}^{2}}\] |
| D. | \[~436\text{ }c{{m}^{2}}\] |
| Answer» D. \[~436\text{ }c{{m}^{2}}\] | |
| 1002. |
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram. |
| A. | 15 cm |
| B. | 14 cm |
| C. | 12 cm |
| D. | 13 cm |
| Answer» D. 13 cm | |
| 1003. |
Two adjacent sides of a parallelogram are 5 cm and 3.5 cm. One of its diagonals is 6.5 cm. Find the area of parallelogram. |
| A. | \[5\sqrt{3}\,c{{m}^{2}}\] |
| B. | \[10\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[15\sqrt{3}\,c{{m}^{2}}\] |
| D. | \[20\sqrt{3}\,c{{m}^{2}}\] |
| Answer» C. \[15\sqrt{3}\,c{{m}^{2}}\] | |
| 1004. |
A field is in the shape of a trapezium whose parallel sides are 50 m and 15m. The non-parallel sides are 20 m and 25 m. What is the area of the trapezium? |
| A. | \[\frac{900\,\sqrt{6}}{7}{{m}^{2}}\] |
| B. | \[\frac{1100\,\sqrt{6}}{7}{{m}^{2}}\] |
| C. | \[\frac{1300\,\sqrt{6}}{7}{{m}^{2}}\] |
| D. | \[\frac{1500\,\sqrt{6}}{7}{{m}^{2}}\] |
| Answer» D. \[\frac{1500\,\sqrt{6}}{7}{{m}^{2}}\] | |
| 1005. |
If each side of the rhombus is 40 m and its longer diagonal is 48 m, then the area of rhombus is____. |
| A. | \[~1536\,{{m}^{2}}\] |
| B. | \[~1636\,{{m}^{2}}\] |
| C. | \[~1236\,{{m}^{2}}\] |
| D. | \[~1336\,{{m}^{2}}\] |
| Answer» B. \[~1636\,{{m}^{2}}\] | |
| 1006. |
What is the area of a triangle whose sides are 13 cm, 14 cm and 15 cm? |
| A. | 84 sq.cm |
| B. | 64 sq.cm |
| C. | 82 sq.cm |
| D. | 48 sq.cm |
| Answer» B. 64 sq.cm | |
| 1007. |
A rhombus has perimeter 100 m and one of its diagonals is 40 m. Find the area of the rhombus. |
| A. | \[~600\text{ }{{m}^{2}}\] |
| B. | \[~500\text{ }{{m}^{2}}\] |
| C. | \[~400\text{ }{{m}^{2}}\] |
| D. | \[~300\text{ }{{m}^{2}}\] |
| Answer» B. \[~500\text{ }{{m}^{2}}\] | |
| 1008. |
In a quadrilateral ABCD if AB = 9 m, BC = 40 m, CD = 28 m, AD = 15 m and \[\angle ABC={{90}^{o}},\]find its area. |
| A. | \[136\,{{m}^{2}}\] |
| B. | \[~163\,{{m}^{2}}\] |
| C. | \[~360\text{ }{{m}^{2}}\] |
| D. | \[~306\text{ }{{m}^{2}}\] |
| Answer» E. | |
| 1009. |
In a quadrilateral ABCD if AB = 5 m, BC = 5m, CD = 6m, AD = 6m and diagonal AC = 6 m, what is its area? |
| A. | \[2(4+3\sqrt{3}){{m}^{2}}\] |
| B. | \[3(4+3\sqrt{3}){{m}^{2}}\] |
| C. | \[5(4+3\sqrt{3}){{m}^{2}}\] |
| D. | \[7(4+3\sqrt{3}){{m}^{2}}\] |
| Answer» C. \[5(4+3\sqrt{3}){{m}^{2}}\] | |
| 1010. |
Area of a given triangle \[{{x}_{1}}\] square units. If the sides of this triangle are doubled, the area of the new triangle becomes\[{{x}_{2}}\]square units. Calculate the percentage increase in the area. |
| A. | 100% |
| B. | 200% |
| C. | 300 % |
| D. | 400 % |
| Answer» D. 400 % | |
| 1011. |
A triangular park in a city has dimensions \[10\,m\times 90\,m\times 110m.\]A contract is given to a company for planting grass in the park at the rate of Rs. 4000 per hectare. What is the amount to be paid to the company? (Take \[\sqrt{2}=1.414\]and One hectare\[=\text{ }10000\,{{m}^{2}}.\]) |
| A. | Rs. 1968.60 |
| B. | Rs. 1698.60 |
| C. | Rs. 1986.60 |
| D. | Rs. 1696.80 |
| Answer» E. | |
| 1012. |
What is the semiperimeter of a scalene triangle of sides k, 2k and 3k? |
| A. | k |
| B. | 2k |
| C. | 3k |
| D. | 4k |
| Answer» D. 4k | |
| 1013. |
A kite in the shape of a square with a diagonal 40 cm and an isosceles triangle of base 10 cm and side 13 cm each is to be made of three different shades as shown in the figure. Find the ratio of each shade used in making the kite, |
| A. | 20:20:3 |
| B. | 10:10:3 |
| C. | 25:35:3 |
| D. | 9:11:1 |
| Answer» B. 10:10:3 | |
| 1014. |
What is the area of a triangle having two sides as 18 cm and 10 cm and perimeter is 42 cm? |
| A. | \[3\sqrt{11}c{{m}^{2}}\] |
| B. | \[7\sqrt{11}c{{m}^{2}}\] |
| C. | \[33\sqrt{7}c{{m}^{2}}\] |
| D. | \[21\sqrt{11}c{{m}^{2}}\] |
| Answer» E. | |
| 1015. |
What is the length of each side of an equilateral triangle having an area of \[9\sqrt{3}\,c{{m}^{2}}?\] |
| A. | 8cm |
| B. | 36cm |
| C. | 4 cm |
| D. | 6 cm |
| Answer» E. | |
| 1016. |
The perimeter of an isosceles triangle is 32 cm. The ratio of one of the equal sides to its base is 3 : 2. Find the area of the triangle. |
| A. | \[48\,c{{m}^{2}}\] |
| B. | \[28\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[32\sqrt{2}\,c{{m}^{2}}\] |
| D. | \[44\,c{{m}^{2}}\] |
| Answer» D. \[44\,c{{m}^{2}}\] | |
| 1017. |
The edges of a triangular board are 6 cm, 8 cm and 10 cm. What is the cost of painting it at the rate of 9 paise per\[~c{{m}^{2}}\]? |
| A. | Rs. 2.00 |
| B. | Rs. 2.16 |
| C. | Rs. 2.48 |
| D. | Rs. 3.00 |
| Answer» C. Rs. 2.48 | |
| 1018. |
A floral design on a floor is made up of 16 triangular tiles of sides 26 cm, 20 cm and 10 cm. The tiles are polished at the rate of 20 p per \[c{{m}^{2}}.\] Find the cost of polishing the tiles. \[(Take\sqrt{14}=3.74.)\] |
| A. | Rs. 195.64 |
| B. | Rs. 216.52 |
| C. | Rs. 287.23 |
| D. | Rs. 325.13 |
| Answer» D. Rs. 325.13 | |
| 1019. |
If the length of a median of an equilateral triangle is \[x\,cm,\]find its area. |
| A. | \[{{x}^{2}}c{{m}^{2}}\] |
| B. | \[\frac{\sqrt{3}}{2}{{x}^{2}}\,c{{m}^{2}}\] |
| C. | \[\frac{{{x}^{2}}}{\sqrt{3}}c{{m}^{2}}\] |
| D. | \[\frac{{{x}^{2}}}{2}c{{m}^{2}}\] |
| Answer» D. \[\frac{{{x}^{2}}}{2}c{{m}^{2}}\] | |
| 1020. |
Which of the following should we have in order to find the area of a triangle by Herons formula? |
| A. | All the angles |
| B. | Altitudes |
| C. | Two sides and the including angle |
| D. | All the sides |
| Answer» E. | |
| 1021. |
If the area of an equilateral triangle is \[16\sqrt{3}\,c{{m}^{2}},\] what is the perimeter of the triangle? |
| A. | 48 cm |
| B. | 24 cm |
| C. | 12 cm |
| D. | 306 cm |
| Answer» C. 12 cm | |
| 1022. |
An umbrella is made by stitching 12 triangular pieces of cloth of two different colours as shown in figure. Each piece measures 40 cm, 40 cm and 18cm. How much cloth of each colour is required for the umbrealla? |
| A. | \[378\sqrt{3}\,c{{m}^{2}}\] |
| B. | \[756\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[252\sqrt{3}\,c{{m}^{2}}\] |
| D. | \[567\sqrt{3}\,c{{m}^{2}}\] |
| Answer» B. \[756\sqrt{3}\,c{{m}^{2}}\] | |
| 1023. |
The length of the sides of \[\Delta ABC\]are consecutive integers. If\[\Delta ABC\]has the same perimeter as an equilateral triangle with a side of length 9 cm, what is the length of the shortest side of \[\Delta ABC?\] |
| A. | 4 cm |
| B. | 6 cm |
| C. | 8cm |
| D. | 10 cm |
| Answer» D. 10 cm | |
| 1024. |
A rhombus shaped field has green grass for 48 cows to graze. If each side of the rhombus is 50 m and its longer diagonal is 80 m, how much area of the grass field will each cow be able to graze in? |
| A. | \[150\,c{{m}^{2}}\] |
| B. | \[120\,c{{m}^{2}}\] |
| C. | \[50\,c{{m}^{2}}\] |
| D. | \[100\,c{{m}^{2}}\] |
| Answer» D. \[100\,c{{m}^{2}}\] | |
| 1025. |
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is \[12\sqrt{2}\,cm,\]what is the area of the triangle? |
| A. | \[24\sqrt{2}\,c{{m}^{2}}\] |
| B. | \[24\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[48\sqrt{3}\,c{{m}^{2}}\] |
| D. | \[64\sqrt{3}\,c{{m}^{2}}\] |
| Answer» E. | |
| 1026. |
The perimeter of an equilateral triangle is 60 m. What is its area? |
| A. | \[10\sqrt{3}\,{{m}^{2}}\] |
| B. | \[15\sqrt{3}\,{{m}^{2}}\] |
| C. | \[20\sqrt{3}\,{{m}^{2}}\] |
| D. | \[100\sqrt{3}\,{{m}^{2}}\] |
| Answer» E. | |
| 1027. |
The perimeter of a triangle is 540 m and its sides are in the ratio 25 : 17 : 12. Find its area. |
| A. | \[~9100\,{{m}^{2~}}\] |
| B. | \[~9000\,{{m}^{2}}\] |
| C. | \[~9200\,{{m}^{2}}\] |
| D. | \[~9500\,{{m}^{2}}\] |
| Answer» C. \[~9200\,{{m}^{2}}\] | |
| 1028. |
The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. What is its area? |
| A. | 12sq.cm |
| B. | 36 sq.cm |
| C. | 24 sq.cm |
| D. | 48 sq.cm |
| Answer» E. | |
| 1029. |
If the area of an isosceles right triangle is \[8\,c{{m}^{2}},\]what is its perimeter? |
| A. | \[\left( 8+\sqrt{2} \right)cm\] |
| B. | \[\left( 8+4\sqrt{2} \right)cm\] |
| C. | \[\left( 4+8\sqrt{2} \right)cm\] |
| D. | \[100\sqrt{3}\,{{m}^{2}}\] |
| Answer» C. \[\left( 4+8\sqrt{2} \right)cm\] | |
| 1030. |
What is the area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm? |
| A. | \[\sqrt{15}c{{m}^{2}}\] |
| B. | \[\sqrt{\frac{15}{2}}c{{m}^{2}}\] |
| C. | \[2\sqrt{15}c{{m}^{2}}\] |
| D. | \[4\sqrt{15}c{{m}^{2}}\] |
| Answer» B. \[\sqrt{\frac{15}{2}}c{{m}^{2}}\] | |
| 1031. |
White and grey coloured triangular plastic sheets are used to make a toy as shown in figure. Find the difference in areas of shaded and unshaded coloured sheets used for making the toy. |
| A. | \[1\,c{{m}^{2}}\] |
| B. | \[0\,c{{m}^{2}}\] |
| C. | \[5\sqrt{2}\,c{{m}^{2}}\] |
| D. | \[16\sqrt{2}\,c{{m}^{2}}\] |
| Answer» C. \[5\sqrt{2}\,c{{m}^{2}}\] | |
| 1032. |
Find the area of quadrilateral ABCD in which AB = 9 cm, 6C = 40 cm, CD = 28 cm, DA = 15 cm and \[\angle ABC={{90}^{o}}.\] |
| A. | \[~300\,c{{m}^{2}}\] |
| B. | \[~180\,c{{m}^{2}}\] |
| C. | \[~126\,c{{m}^{2}}\] |
| D. | \[306\,c{{m}^{2}}\] |
| Answer» E. | |
| 1033. |
The base and hypotenuse of a right triangle are respectively 5 cm and 13 cm long. Find its area. |
| A. | \[25\,c{{m}^{2}}\] |
| B. | \[28\,c{{m}^{2}}\] |
| C. | \[30\,c{{m}^{2}}\] |
| D. | \[40\,c{{m}^{2}}\] |
| Answer» D. \[40\,c{{m}^{2}}\] | |
| 1034. |
State T for true and 'F' for false. (i) The lengths of the three sides of a triangular field are 40 m, 24 m and 32 m respectively. The area of the triangle is \[384\text{ }{{m}^{2}}.\] (ii) The area of a quadrilateral ABCD in which B = 3 cm, BC= 4 cm, CD =4 cm, DA = 5 cm and AC = 5 cm is \[18\text{ }c{{m}^{2}}.\] (iii) An advertisement board is in the form of an isosceles triangle with its sides equal to 12 m, 10 m and 10 m. The cost of painting it at ` 2.25 per \[{{m}^{2}}\]is \[18\text{ }c{{m}^{2}}.\]112. (iv) Heron's formula cannot be used to calculate area of quadrilaterals. |
| A. | (i) (ii) (iii) (iv) T F F T |
| B. | (i) (ii) (iii) (iv) F T F F |
| C. | (i) (ii) (iii) (iv) T F T F |
| D. | (i) (ii) (iii) (iv) T F F F |
| Answer» E. | |
| 1035. |
Suman made an arrangement with shaded and unshaded paper sheets as shown in the figure. Find the total area of the shaded paper sheets used in making the arrangement. |
| A. | \[\frac{9}{4}\sqrt{55}\,c{{m}^{2}}\] |
| B. | \[\frac{8}{5}\sqrt{11}\,c{{m}^{2}}\] |
| C. | \[\frac{16}{9}\sqrt{55}\,c{{m}^{2}}\] |
| D. | \[\frac{6}{5}\sqrt{11}\,c{{m}^{2}}\] |
| Answer» B. \[\frac{8}{5}\sqrt{11}\,c{{m}^{2}}\] | |
| 1036. |
The sides of a triangle are 50 cm, 78 cm and 112 cm. Find the smallest altitude. |
| A. | 20 cm |
| B. | 30 cm |
| C. | 40 cm |
| D. | 50 cm |
| Answer» C. 40 cm | |
| 1037. |
Right isosceles triangles are constructed on the sides of right angled \[\Delta ABC\] with sides 3, 4, 5 units, as shown. A capital letter indicates area of each triangle. Which one of the following is true? |
| A. | X+Z = Y+W |
| B. | W + X = Z |
| C. | Y + Z = X |
| D. | \[X+W=\frac{1}{2}(Y+Z)\] |
| Answer» D. \[X+W=\frac{1}{2}(Y+Z)\] | |
| 1038. |
A design is made on a rectangular tile of dimensions\[50\,cm\,\times \,70\,cm\]as shown in figure. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design and the remaining area of the tile respectively. |
| A. | \[1632\,c{{m}^{2}},1886\,c{{m}^{2}}\] |
| B. | \[1538\,c{{m}^{2}},1632\,c{{m}^{2}}\] |
| C. | \[1632\,c{{m}^{2}},1868\,c{{m}^{2}}\] |
| D. | \[1538\,c{{m}^{2}},1632\,c{{m}^{2}}\] |
| Answer» D. \[1538\,c{{m}^{2}},1632\,c{{m}^{2}}\] | |
| 1039. |
A farmer divided his field which is in the shape of a rhombus of side 100 m between his two sons equally. If the line of division is 160 m, what area of the field did each son get? |
| A. | 4840 sqm |
| B. | \[~1400\,{{m}^{2}}\] |
| C. | \[4800\,{{m}^{2}}\] |
| D. | \[~3600\text{ }{{m}^{2}}\] |
| Answer» D. \[~3600\text{ }{{m}^{2}}\] | |
| 1040. |
ABC is an equilateral triangle of side \[4\sqrt{3}\]cm. P, Q and R are mid-points of AB, CA and BC respectively. Find the area of triangle PQR is ____. |
| A. | \[3\sqrt{3}\,c{{m}^{2}}\] |
| B. | \[2\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[\frac{\sqrt{3}}{2}\,c{{m}^{2}}\] |
| D. | \[\frac{\sqrt{3}}{4}c{{m}^{2}}\] |
| Answer» B. \[2\sqrt{3}\,c{{m}^{2}}\] | |
| 1041. |
An isosceles right triangle has area \[8\text{ }c{{m}^{2}}.\] What is the length of its hypotenuse? |
| A. | \[\sqrt{32}\,cm\] |
| B. | \[\sqrt{16}\,cm\] |
| C. | \[\sqrt{48}\,cm\] |
| D. | \[\sqrt{24}\,cm\] |
| Answer» B. \[\sqrt{16}\,cm\] | |
| 1042. |
The difference between the semi-perimeter and the sides of a \[\Delta ABC\] are 8 cm, 7 cm and 5 cm respectively. The area of the triangle is____. |
| A. | \[20\sqrt{7}\,c{{m}^{2}}\] |
| B. | \[10\sqrt{14}\,c{{m}^{2}}\] |
| C. | \[20\sqrt{14}\,c{{m}^{2}}\] |
| D. | \[140\,c{{m}^{2}}\] |
| Answer» D. \[140\,c{{m}^{2}}\] | |
| 1043. |
Tanya joined four triangles of cardboard to create a mask of Joker as shown in the given figure. Find the total area of the mask. (Given\[\sqrt{2}=1.41,\sqrt{3}=1.73\]] |
| A. | \[59.86\,c{{m}^{2}}\] |
| B. | \[50\,c{{m}^{2}}\] |
| C. | \[59\,c{{m}^{2}}\] |
| D. | \[53\,c{{m}^{2}}\] |
| Answer» B. \[50\,c{{m}^{2}}\] | |
| 1044. |
One side of an equilateral triangle is 8 cm. What is its area? |
| A. | \[12\sqrt{3}\,c{{m}^{2}}\] |
| B. | \[16\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[8\sqrt{3}\,c{{m}^{2}}\] |
| D. | \[48\sqrt{3}\,c{{m}^{2}}\] |
| Answer» C. \[8\sqrt{3}\,c{{m}^{2}}\] | |
| 1045. |
The perimeter of a field in the form of an equilateral triangle is 36 cm, then its area is given by |
| A. | \[98\sqrt{3}\,c{{m}^{2}}\] |
| B. | \[8\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[42\sqrt{3}\,c{{m}^{2}}\] |
| D. | \[36\sqrt{3}\,c{{m}^{2}}\] |
| Answer» E. | |
| 1046. |
The base of an isosceles right triangle is 30 cm. Find its area. |
| A. | \[225\,c{{m}^{2}}\] |
| B. | \[225\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[225\sqrt{2}\,c{{m}^{2}}\] |
| D. | \[450\,c{{m}^{2}}\] |
| Answer» E. | |
| 1047. |
A hand fan is made by stitching 10 equal size triangular strips of two different types of paper as shown below. The dimensions of equal strips are 25 cm, 25 cm and 14 cm. Find the total area of paper needed to make the hand fan. |
| A. | \[840\,c{{m}^{2}}\] |
| B. | \[1680\,c{{m}^{2}}\] |
| C. | \[480\,c{{m}^{2}}\] |
| D. | \[7844\,c{{m}^{2}}\] |
| Answer» C. \[480\,c{{m}^{2}}\] | |
| 1048. |
If the angles of a triangle are in the ratio 5:3:7, what is such a triangle called? |
| A. | An acute angled triangle |
| B. | An obtuse angled triangle |
| C. | A right triangle |
| D. | An isosceles triangle |
| Answer» B. An obtuse angled triangle | |
| 1049. |
An umbrella is made by stiching 12 triangular pieces of cloth of two different coloured as shown in given figure. Each piece measuring 40 cm, 40 cm and 18 cm. How much cloth of each colour is required for the umbrella? |
| A. | \[2104.56\text{ }c{{m}^{2}},\text{ }2104.56\text{ }c{{m}^{2}}\] |
| B. | \[4209.22\text{ }c{{m}^{2}},\,2104.56\text{ }c{{m}^{2}}\] |
| C. | \[1204.61\text{ }c{{m}^{2}},\text{ }1204.61\text{ }c{{m}^{2}}\] |
| D. | \[2014.61\text{ }c{{m}^{2}},1204.61\text{ }c{{m}^{2}}\] |
| Answer» B. \[4209.22\text{ }c{{m}^{2}},\,2104.56\text{ }c{{m}^{2}}\] | |
| 1050. |
Suman made a picture with some white paper and a single coloured paper as shown in figure. White paper is available at her home and free of cost. The cost of coloured paper used is at the rate of 10p per\[c{{m}^{2}}.\] Find the total cost of the coloured paper used. (Take\[\sqrt{3}=1.732\]and\[\sqrt{11}=3.31\]) |
| A. | ` 14.92 |
| B. | ` 14 |
| C. | ` 16 |
| D. | ` 13 |
| Answer» B. ` 14 | |