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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.
| 501. |
A man bought a rectangular field of length \[144\text{ }m\] and width \[64\text{ }m\]. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be? |
| A. | \[104\text{ }m\] |
| B. | \[208\text{ }m\] |
| C. | \[96\,m\] |
| D. | \[416\,m\] |
| Answer» D. \[416\,m\] | |
| 502. |
The length of a rectangle is increased by 60% By what percentage would the width have to be decreased to maintain the same area: |
| A. | \[100%\] |
| B. | \[125%\] |
| C. | \[150%\] |
| D. | \[\sqrt{3}:1\] |
| Answer» B. \[125%\] | |
| 503. |
A rectangular sheet of paper, \[36\text{ }cm\times 22\text{ }cm,\]is rolled along its length to form a cylinder. Find the volume of the cylinder so formed. |
| A. | \[2268\,c{{m}^{3}}\] |
| B. | \[226.8\,c{{m}^{3}}\] |
| C. | \[226\,c{{m}^{3}}\] |
| D. | \[23.4\,c{{m}^{3}}\] |
| Answer» B. \[226.8\,c{{m}^{3}}\] | |
| 504. |
The area of a rhombus, one side of which measures 20 cm and one diagonal 24 cm, is: |
| A. | 256sq.cm |
| B. | 384sq.cm |
| C. | 512sq.cm |
| D. | 480sq.cm |
| Answer» C. 512sq.cm | |
| 505. |
Find the volume of the figure given below such that the radius of the base of cone is 5.6 cm and the height of cylindrical and conical parts are 6.2 cm and 11.4 cm respectively. |
| A. | |
| B. | 1685.4 |
| C. | 1695.4 |
| D. | 985.6 |
| E. | None of these |
| Answer» E. None of these | |
| 506. |
Two cylinders of equal volume have their heights in the ratio \[2:1\] .What is the ratio of their radii? |
| A. | \[2:1\] |
| B. | \[1:2\] |
| C. | \[\sqrt{2}:1\] |
| D. | \[1:\sqrt{2}\] |
| Answer» E. | |
| 507. |
Two cylinders of same volume have their heights in the ratio 1:3. Find the ratio of their radii. |
| A. | \[88\pi sq.units\] |
| B. | \[48\pi sq.units\] |
| C. | \[1:\sqrt{3}\] |
| D. | \[50%\] |
| Answer» B. \[48\pi sq.units\] | |
| 508. |
If the areas of three adjacent faces of a rectangular block are in the ratio of \[2:3:4\] and its volume is \[9000\text{ }c{{m}^{3}},\] what is the length of the shortest side? |
| A. | \[10\,cm\] |
| B. | \[15\,cm\] |
| C. | \[20\,cm\] |
| D. | \[30\,cm\] |
| Answer» C. \[20\,cm\] | |
| 509. |
The edge of a cute is 20 cm. How many small cubes of 5 cm edge can be formed from this cube? |
| A. | 4 |
| B. | 32 |
| C. | 64 |
| D. | 100 |
| Answer» D. 100 | |
| 510. |
Each side of a cube is increased by 50%. Then the surface area of the cube is increased by |
| A. | \[12c{{m}^{2}}\] |
| B. | \[{{P}^{2}}%\] |
| C. | \[28\pi sq.units\] |
| D. | \[88sq.units\] |
| Answer» D. \[88sq.units\] | |
| 511. |
In the figure given, ABCD is a parallelogram and CDEF is a rectangle. What is the total area of the figure? |
| A. | \[35\,c{{m}^{2}}\] |
| B. | \[30\,c{{m}^{2}}\] |
| C. | \[25\,c{{m}^{2}}\] |
| D. | \[20\,c{{m}^{2}}\] |
| Answer» D. \[20\,c{{m}^{2}}\] | |
| 512. |
A tank with a square base has a volume of \[384\text{ }c{{m}^{3}}.\] If its height is \[6\text{ }cm,\] find the length of the side of the square base. |
| A. | \[\text{10 }cm\] |
| B. | \[\text{8 }cm\] |
| C. | \[\text{12 }cm\] |
| D. | \[\text{6 }cm\] |
| Answer» C. \[\text{12 }cm\] | |
| 513. |
The ratio of radii of two cylinders is \[6c{{m}^{2}}\]and heights are in the ratio 2:3. The ratio of their volumes is |
| A. | 1:9 |
| B. | 2:9 |
| C. | 4:9 |
| D. | 0.214583333333333 |
| Answer» C. 4:9 | |
| 514. |
What is the height of a cuboid of volume \[216\text{ }c{{m}^{3}}\]if its length and breadth measure \[8\text{ }cm\] and \[\text{6 }cm\]? |
| A. | \[4.5\,m\] |
| B. | \[6\,m\] |
| C. | \[4.8\,m\] |
| D. | \[9\,m\] |
| Answer» B. \[6\,m\] | |
| 515. |
The volumes of two spheres are in the ratio 64:27. Find the difference of their surface areas, if the sum of their radii is 7 units. |
| A. | \[\left( 2P+\frac{{{P}^{2}}}{100} \right)%\] |
| B. | \[\frac{{{P}^{2}}}{2}%\] |
| C. | \[62\frac{6}{7}sq.cm\] |
| D. | \[57\frac{3}{4}sq.cm\] |
| Answer» B. \[\frac{{{P}^{2}}}{2}%\] | |
| 516. |
A cuboidal tank is made by digging earth whose length is 4 metre, breadth is 3 metre and height is 2.5 metre. Find the length of its diagonal. |
| A. | 5.59 m |
| B. | 6.2 m |
| C. | 7.5 m |
| D. | 7.12 m |
| E. | None of these |
| Answer» B. 6.2 m | |
| 517. |
What is the volume of a cylindrical container with base radius \[5\text{ }cm\] and height\[20\text{ }cm\]? (Take \[n=3.14\].) |
| A. | \[157\,l\] |
| B. | \[1.57\,l\] |
| C. | \[1570\,l\] |
| D. | \[15.7\,l\] |
| Answer» C. \[1570\,l\] | |
| 518. |
The slant height of a cone is increased by P%. If radius remains same, the curved surface area is increased by |
| A. | P% |
| B. | \[{{P}^{2}}%\] |
| C. | 2P% |
| D. | None of these |
| Answer» B. \[{{P}^{2}}%\] | |
| 519. |
The lateral surface area of a hollow cylinder is. It is cut along its height to form a rectangular sheet of width 32 cm. Find the perimeter of rectangular sheet. |
| A. | 339 cm |
| B. | 328 cm |
| C. | 340 cm |
| D. | 315 cm |
| E. | None of these |
| Answer» C. 340 cm | |
| 520. |
A cylindrical road roller made of iron is 1 m wide, its inner diameter is 54 cm and thickness of the iron sheet rolled into the road roller is 9 cm. Find the weight of the roller if I c.c. of iron weighs 8 g. |
| A. | 1425.60 kg |
| B. | 1435.24 kg |
| C. | 1429.75 kg |
| D. | 1414.29 kg |
| E. | None of these |
| Answer» B. 1435.24 kg | |
| 521. |
The perimeter of a trapezium is \[\text{52 }cm\] and its non-parallel sides are each equal to \[10\text{ }cm\]. If its altitude is 8 cm, what is its area? |
| A. | \[128\,\,c{{m}^{2}}\] |
| B. | \[112\,\,c{{m}^{2}}\] |
| C. | \[118\,\,c{{m}^{2}}\] |
| D. | \[124\,\,c{{m}^{2}}\] |
| Answer» B. \[112\,\,c{{m}^{2}}\] | |
| 522. |
The ratio of the volume and surface area of a sphere of unit radius |
| A. | 4:3 |
| B. | 0.127777777777778 |
| C. | 1:3 |
| D. | 0.125694444444444 |
| Answer» D. 0.125694444444444 | |
| 523. |
A letter 'T' shape is made by sticking together 2 cuboids as shown in tile diagram. What is the total volume of the letter T. |
| A. | 57 \[c{{m}^{3}}\] |
| B. | 64 \[c{{m}^{3}}\] |
| C. | 48 \[c{{m}^{3}}\] |
| D. | 25 \[c{{m}^{3}}\] |
| Answer» D. 25 \[c{{m}^{3}}\] | |
| 524. |
An empty tank was \[\frac{2}{5}\] full after \[1.5\,l\] of water was poured in it. The base area of the tank was\[250\text{ }c{{m}^{2}}\]. What was the height of the tank? |
| A. | \[15\,cm\] |
| B. | \[5\,cm\] |
| C. | \[4\,cm\] |
| D. | \[8\,cm\] |
| Answer» B. \[5\,cm\] | |
| 525. |
The height and radius of a cone are 3 cm and 4 cm respectively. Its curved surface area must be is |
| A. | \[2\pi \] |
| B. | \[{{120}^{o}}\] |
| C. | \[9\frac{3}{7}\] |
| D. | \[P%\] |
| Answer» B. \[{{120}^{o}}\] | |
| 526. |
A room of the hall is such that the ratio of the height of the room to its semi perimeter is 6 : 10. the cost of paper to cover the wall of the room is Rs. 1700, when the width of the paper is 100 cm and the rate to cover the wall is Rs. 10 per meter. The door and window whose area is 40 m2 are not to be covered. The height of the room is |
| A. | \[2\sqrt{6}\,m\] |
| B. | \[6\sqrt{0.475}\,m\] |
| C. | \[4\sqrt{6}\,m\] |
| D. | \[5\sqrt{6}\,m\] |
| Answer» C. \[4\sqrt{6}\,m\] | |
| 527. |
A stone of volume \[36\text{ }c{{m}^{3}}\]is placed in a rectangular tank measuring \[8\text{ }cm\] by \[6\text{ }cm\] by \[\text{5 }cm\]. A student wants to fill the tank with water to a height of \[\text{4 }cm\]. What is the volume of water needed? |
| A. | \[\text{218 }c{{m}^{3}}\] |
| B. | \[\text{156 }c{{m}^{3}}\] |
| C. | \[\text{228 }c{{m}^{3}}\] |
| D. | \[\text{192 }c{{m}^{3}}\] |
| Answer» C. \[\text{228 }c{{m}^{3}}\] | |
| 528. |
The radius of a sphere is increased by P%. Its surface area increase by |
| A. | \[\frac{30}{\pi }\] |
| B. | \[60\pi \] |
| C. | \[\frac{15}{\pi }\] |
| D. | \[\frac{30}{{{\pi }^{2}}}\] |
| Answer» D. \[\frac{30}{{{\pi }^{2}}}\] | |
| 529. |
The ratio between the length and width of a field is 10 : 60 The area of the 3840 \[{{\mathbf{m}}^{\mathbf{2}}}\]. Find the difference between the length and width of the field. |
| A. | 32 m |
| B. | 24 m |
| C. | 20 m |
| D. | 18 m |
| Answer» B. 24 m | |
| 530. |
A sector of \[13.4{{m}^{2}}\] cut out from a circle has an area of \[14.4{{m}^{2}}\]sq. cm. The radius of the circle is |
| A. | 3cm |
| B. | 2.5cm |
| C. | 3.5cm |
| D. | 3.6cm |
| Answer» B. 2.5cm | |
| 531. |
Find the total surface area of a cone, it its slant height is 9 m and the radius of its base is 12 m. |
| A. | 562 \[{{m}^{2}}\] |
| B. | 792 \[{{m}^{2}}\] |
| C. | 692 \[{{m}^{2}}\] |
| D. | 600 \[{{m}^{2}}\] |
| Answer» C. 692 \[{{m}^{2}}\] | |
| 532. |
The curved surface area of a right circular cylinder of height 14 cm is . The diameter of its base is: |
| A. | 2 cm |
| B. | 1 cm |
| C. | 2.5 cm |
| D. | 1.5 cm |
| E. | None of these |
| Answer» B. 1 cm | |
| 533. |
Three cylinders each of height \[16\text{ }cm\] and radius of base \[\text{4 }cm\] are placed on a plane so that each cylinder touches the other two. What is the volume of the region enclosed between the three cylinders? |
| A. | \[98\,\left( 4\sqrt{3}-\pi \right)\,c{{m}^{3}}\] |
| B. | \[98\,\left( 2\sqrt{3}-\pi \right)\,c{{m}^{3}}\] |
| C. | \[98\,\left( \sqrt{3}-\pi \right)\,c{{m}^{3}}\] |
| D. | \[128\,\left( 2\sqrt{3}-\pi \right)\,c{{m}^{3}}\] |
| Answer» E. | |
| 534. |
The diameter of a cone is 14 cm and its slant height is 9 cm. Find the area of its curved surface |
| A. | 128 \[c{{m}^{2}}\] |
| B. | 110 \[c{{m}^{2}}\] |
| C. | 198 \[c{{m}^{2}}\] |
| D. | 200 \[c{{m}^{2}}\] |
| Answer» D. 200 \[c{{m}^{2}}\] | |
| 535. |
In a temple, there are 25 cylindrical pillars. The radius of each pillar is 28 cm and height 4 m. Find the total cost of painting its outer surface at Rs 8 per. |
| A. | Rs 1400 |
| B. | Rs 1525 |
| C. | Rs 1408 |
| D. | Rs 1309 |
| E. | None of these |
| Answer» D. Rs 1309 | |
| 536. |
The area of a trapezium with equal non- parallel sides is\[\text{168 }{{\text{m}}^{\text{2}}}\]. If the lengths of the parallel sides are 36 m and 20 m, find the length of the non-parallel sides. |
| A. | 8m |
| B. | 10m |
| C. | 15m |
| D. | 4m |
| Answer» C. 15m | |
| 537. |
The dimensions of a hall are \[40\text{ }m,\text{ }25\text{ }m\] and\[20\text{ }m\]. If each person requires 200 cubic metres of space, how many persons can be accommodated in the hall? |
| A. | \[120\] |
| B. | \[150\] |
| C. | \[140\] |
| D. | \[100\] |
| Answer» E. | |
| 538. |
The area of the base of right circular cylinder is 154 cm' and its height is 15 cm. Find the volume of the cylinder. |
| A. | 1580 \[c{{m}^{2}}\] |
| B. | 2310 \[c{{m}^{3}}\] |
| C. | 3210 \[c{{m}^{3}}\] |
| D. | 1576 \[c{{m}^{2}}\] |
| Answer» C. 3210 \[c{{m}^{3}}\] | |
| 539. |
The circumference of the base of a cylinder is 132 cm and its height 25 cm. Find the volume of the cylinder. |
| A. | 34650 \[c{{m}^{2}}\] |
| B. | 25650 \[c{{m}^{2}}\] |
| C. | 32150 \[c{{m}^{2}}\] |
| D. | 44650 \[c{{m}^{2}}\] |
| Answer» B. 25650 \[c{{m}^{2}}\] | |
| 540. |
Match the figure in column I with their total surface area in column II Column I Column II (p) (i) \[836\text{ c}{{\text{m}}^{2}}\] (q) (ii) \[340\text{ c}{{\text{m}}^{2}}\] (r) (iii) \[\text{1014 c}{{\text{m}}^{\text{2}}}\] (s) (iv) \[\text{1287c}{{\text{m}}^{2}}\] |
| A. | P\[\to \](iii); Q\[\to \](iii); R\[\to \](iv); S\[\to \](i) |
| B. | P\[\to \](ii); Q\[\to \](iv); R\[\to \](i): S\[\to \](iii) |
| C. | P\[\to \](ii); Q\[\to \](iii); R\[\to \](i); S\[\to \](iv) |
| D. | P\[\to \](ii):Q\[\to \](iv);R\[\to \](ii);S\[\to \](i) |
| Answer» C. P\[\to \](ii); Q\[\to \](iii); R\[\to \](i); S\[\to \](iv) | |
| 541. |
In the figure given, RSTV is a square inscribed in a circle with centre O and radius V. What is the total area of unshaded region? |
| A. | \[{{r}^{2}}(\pi -2)\,sq.\,units\] |
| B. | \[2r(2-\pi )\,sq.\,units\] |
| C. | \[\pi ({{r}^{2}}-2)\,sq.\,units\] |
| D. | \[(\pi {{r}^{2}}-8r)sq.\,units\] |
| Answer» B. \[2r(2-\pi )\,sq.\,units\] | |
| 542. |
Find the radius of the cylinder whose lateral surface area is \[704\text{ }c{{m}^{2}}\]and height is\[8\text{ }cm\]. |
| A. | \[6\,cm\] |
| B. | \[4\,cm\] |
| C. | \[8\,cm\] |
| D. | \[14\,cm\] |
| Answer» E. | |
| 543. |
If the circumference of a circle is \[44{{m}^{2}}\], then the diameter of the circle is |
| A. | \[2464{{m}^{2}}\] |
| B. | \[{{42}^{o}}\] |
| C. | \[13.2{{m}^{2}}\] |
| D. | 30 unit |
| Answer» D. 30 unit | |
| 544. |
Find the volume of right circular cylinder, if the radius (r) of its base and height (h) are 7 cm and 15 cm respectively. |
| A. | 2310 \[c{{m}^{3}}\] |
| B. | 3310 \[c{{m}^{3}}\] |
| C. | 4210 \[c{{m}^{3}}\] |
| D. | 2500 \[c{{m}^{3}}\] |
| Answer» B. 3310 \[c{{m}^{3}}\] | |
| 545. |
The dimension of a metallic cuboid are . It is melted and recast into a cube. Find the surface area of the cube. |
| A. | |
| B. | |
| C. | |
| D. | |
| E. | None of these |
| Answer» D. | |
| 546. |
Find the area of the given field. All dimensions are in m. |
| A. | \[\text{9000}{{\text{m}}^{\text{2}}}\] |
| B. | \[\text{11700}{{\text{m}}^{\text{2}}}\] |
| C. | \[\text{11000}{{\text{m}}^{\text{2}}}\] |
| D. | \[\text{12000}{{\text{m}}^{\text{2}}}\] |
| Answer» C. \[\text{11000}{{\text{m}}^{\text{2}}}\] | |
| 547. |
The area of the sector of a circle, whose radius is 6 m, when the angle at the centre is \[3\sqrt{3}c{{m}^{2}}\] is |
| A. | \[6\sqrt{2}c{{m}^{2}}\] |
| B. | \[6084.5{{m}^{2}}\] |
| C. | \[276.5{{m}^{2}}\] |
| D. | \[154{{m}^{2}}\] |
| Answer» B. \[6084.5{{m}^{2}}\] | |
| 548. |
The curved surface area of a right circular cylinder of height 14 cm is 88 \[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]. Find the diameter of the base of the cylinder. |
| A. | 2 cm |
| B. | 5cm |
| C. | 4 cm |
| D. | 6 cm |
| Answer» B. 5cm | |
| 549. |
Length of a class room is two times its height and its breadth is times its height. The cost of white washing the walls at the rate of Rs 1.60 per m2 is Rs 179.20. Find the cost of tiling the floor at the rate of Rs 6.75 per. |
| A. | Rs 324 |
| B. | Rs 350 |
| C. | Rs 420 |
| D. | Rs 400 |
| E. | None of these |
| Answer» B. Rs 350 | |
| 550. |
A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe. |
| A. | 112.5m |
| B. | 112m |
| C. | 212m |
| D. | 312m |
| Answer» C. 212m | |