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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.
| 451. |
In the given fig. ABCD is a parallelogram. \[\frac{h}{{{x}^{2}}}\] and \[\frac{xh}{3}\],if \[\frac{3h}{x}\]\[\frac{4\pi x}{3}\]and \[\frac{x}{3}\sqrt{\frac{x}{4\pi }}\] Find DL |
| A. | \[{{(4\pi x)}^{3/2}}\] |
| B. | \[\frac{3\sqrt{2}}{\pi }{{x}^{3/2}}\] |
| C. | \[DL\bot AB\] |
| D. | None of these |
| Answer» D. None of these | |
| 452. |
Find the weight of a cubical wooden block of length 60 cm if weight of 1 cubic metre of wooden block is 900 kg. |
| A. | 192.36 kg |
| B. | 198 kg |
| C. | 196.50 kg |
| D. | 194.40 kg |
| E. | None of these |
| Answer» E. None of these | |
| 453. |
ABC is a right angled triangle with\[\angle BAC=90{}^\circ \]. AH is drawn perpendicular to BC. If AB = 60 cm and AC = 80 cm, then BH = ____. |
| A. | 36 cm |
| B. | 32 cm |
| C. | 24 cm |
| D. | 30 cm |
| Answer» B. 32 cm | |
| 454. |
The sides of a triangle are \[3\text{ }cm,\text{ }5\text{ }cm\] and \[\text{4 }cm\]. What is its area? |
| A. | \[6\,\,c{{m}^{2}}\] |
| B. | \[75\,\,c{{m}^{2}}\] |
| C. | \[5\sqrt{2}\,\,c{{m}^{2}}\] |
| D. | \[10\,\,c{{m}^{2}}\] |
| Answer» B. \[75\,\,c{{m}^{2}}\] | |
| 455. |
The volumes of two spheres are in the ratio 64 : 27. Find the radius of the larger if the sum of their radii is 21 cm. |
| A. | 9cm |
| B. | 12cm |
| C. | 15cm |
| D. | 14cm |
| Answer» C. 15cm | |
| 456. |
The surface area of a sphere is x. What is its volume? |
| A. | \[8470{{m}^{2}}\] |
| B. | \[100m\times 75m\times 22m\] |
| C. | \[50{{m}^{3}}\] |
| D. | \[3{{x}^{2}}h\] |
| Answer» C. \[50{{m}^{3}}\] | |
| 457. |
A conical flask of radius r and height h is full of water. It is emptied into another conical flask of radius xr. If this flask becomes fall, what is its height? |
| A. | \[{{m}^{2}}\] |
| B. | \[8070{{m}^{2}}\] |
| C. | \[8270{{m}^{2}}\] |
| D. | \[8370{{m}^{2}}\] |
| Answer» C. \[8270{{m}^{2}}\] | |
| 458. |
The edges of three iron cubes are 6 cm, 8 cm and 10 cm, respectively. A new cube was made by melting them. Find the edge of the new cube. |
| A. | 8cm |
| B. | 12cm |
| C. | 14cm |
| D. | 10cm |
| Answer» C. 14cm | |
| 459. |
The inside circumference of a circular field is 1188 m. Aroid 7 m wide is constructed on the outside. Find its area. |
| A. | \[1450c{{m}^{2}}\] |
| B. | \[1440c{{m}^{2}}\] |
| C. | \[1420c{{m}^{2}}\] |
| D. | \[1410c{{m}^{2}}\] |
| Answer» E. | |
| 460. |
A room is 15 metres long, 4 metres broad and 3 metres high. Find the cost of whitewashing its four walls at 50 P. per\[(\pi =3.14)\]. |
| A. | Rs.60 |
| B. | Rs 57 |
| C. | Rs 55 |
| D. | Rs 52 |
| Answer» C. Rs 55 | |
| 461. |
It needs 50 ml paint for painting a picture\[169c{{m}^{3}}\]. How much paint is needed to paint a similar picture\[{{(cm)}^{2}}\]? |
| A. | 100 ml |
| B. | 400 ml |
| C. | 750 ml |
| D. | 200 ml |
| Answer» E. | |
| 462. |
The length of a rectangle is \[28\pi sq.units\] of its breadth. If its perimeter is 132m, its area will be............ |
| A. | \[1,080\,{{m}^{2}}\] |
| B. | \[640\,{{m}^{2}}\] |
| C. | \[1,620\,\,{{m}^{2}}\] |
| D. | \[2,160\,{{m}^{2}}\] |
| Answer» B. \[640\,{{m}^{2}}\] | |
| 463. |
On a rainy day 60 mm of rain falls, find how many cubic metres of water falls on 3 hectares of ground on that day |
| A. | 28000 \[{{m}^{3}}\] |
| B. | 16000 \[{{m}^{3}}\] |
| C. | 18000 \[{{m}^{3}}\] |
| D. | 1600 \[{{m}^{3}}\] |
| Answer» D. 1600 \[{{m}^{3}}\] | |
| 464. |
In the given figure, RSTV is a square inscribed in a circle with centre O and radius r. The total area of the shaded region is ___, |
| A. | \[{{\text{r}}^{2}}(\pi -2)\] |
| B. | \[\text{2}{{\text{r}}^{2}}(2-\pi )\] |
| C. | \[\pi \text{(}{{\text{r}}^{2}}-2)\] |
| D. | \[8{{r}^{2}}-8r\] |
| Answer» B. \[\text{2}{{\text{r}}^{2}}(2-\pi )\] | |
| 465. |
Find the number of coins 1.5 cm in diameter and 0.2 cm thick melted from a right circular cylinder whose height is 8 cm and diameter 6 cm. |
| A. | 620 |
| B. | 640 |
| C. | 660 |
| D. | 680 |
| Answer» C. 660 | |
| 466. |
If the radius of the base of a right circular cylinder is reduced by 50%, keeping the same height, what is the ratio of the volume of the reduced cylinder to that of the original? |
| A. | 1:9 |
| B. | 0.0472222222222222 |
| C. | 1:4 |
| D. | 0.0430555555555556 |
| Answer» D. 0.0430555555555556 | |
| 467. |
Four circles of radius 1 cm each are placed in such a way on a plane paper that each touches the other. Find the area \[\pi {{r}^{2}}\] of the space left in between the four circles. \[2\pi {{r}^{4}}\] |
| A. | 0.82 |
| B. | 0.84 |
| C. | 0.86 |
| D. | 0.88 |
| Answer» D. 0.88 | |
| 468. |
How long will it take for a boy to run around a square field of area 25 hectares at 10 km per hour? |
| A. | 12min |
| B. | 14min |
| C. | 16min |
| D. | 18min |
| Answer» B. 14min | |
| 469. |
How many bricks 20 cm by 10 cm will be needed to pave the floor of a room 25m long and 16m wide? |
| A. | 18000 |
| B. | 20000 |
| C. | 22000 |
| D. | 24000 |
| Answer» C. 22000 | |
| 470. |
Find the volume of the largest right circular cone that can be cut out of cube whose edge is 9 cm: |
| A. | \[56c{{m}^{2}}\text{ and }560c{{m}^{2}}\] |
| B. | \[560c{{m}^{2}}\text{ and }56c{{m}^{2}}\] |
| C. | \[56c{{m}^{2}}\text{ and 61}6c{{m}^{2}}\] |
| D. | \[{{r}^{2}}\] |
| Answer» B. \[560c{{m}^{2}}\text{ and }56c{{m}^{2}}\] | |
| 471. |
The area of a circle whose radius is \[306{{m}^{2}}\] is: |
| A. | \[307{{m}^{2}}\] |
| B. | \[308{{m}^{2}}\] |
| C. | \[309{{m}^{2}}\] |
| D. | not possible |
| Answer» D. not possible | |
| 472. |
What is the area of an isosceles triangle having base 'Y' cm and one side 'Y' cm? |
| A. | \[\frac{x}{2}\sqrt{{{y}^{2}}+\frac{{{x}^{2}}}{4}}c{{m}^{2}}\] |
| B. | \[\frac{x}{2}\sqrt{\frac{4{{y}^{2}}-{{x}^{2}}}{4}}c{{m}^{2}}\] |
| C. | \[\frac{{{x}^{2}}-{{y}^{2}}}{4}c{{m}^{2}}\] |
| D. | \[\frac{{{x}^{2}}+{{y}^{2}}}{4}c{{m}^{2}}\] |
| Answer» C. \[\frac{{{x}^{2}}-{{y}^{2}}}{4}c{{m}^{2}}\] | |
| 473. |
In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If\[304c{{m}^{2}}\]. The area of field is: |
| A. | \[550c{{m}^{2}}\] |
| B. | \[154c{{m}^{2}}\] |
| C. | \[4746{{m}^{2}}\] |
| D. | \[4748{{m}^{2}}\] |
| Answer» B. \[154c{{m}^{2}}\] | |
| 474. |
A playground is in the form of a rectangle having semicircle on the shorter sides. Find its area when the length of the rectangular portion is 80 m and the breadth is 42 m. |
| A. | \[4746\,{{m}^{2}}\] |
| B. | \[77{{m}^{2}}\] |
| C. | \[1232c{{m}^{3}}\] |
| D. | \[1254c{{m}^{2}}\] |
| Answer» B. \[77{{m}^{2}}\] | |
| 475. |
The radii of two cylinders are in the ratio of 2 : 3 and their heights in ratio of 5 : 3, their volumes will be: |
| A. | 4:9 |
| B. | 1.13888888888889 |
| C. | 20:27 |
| D. | 9:4 |
| Answer» D. 9:4 | |
| 476. |
If a right circular cone of vertical height 24 cm has a volume of \[\frac{5}{2}(10+5\sqrt{3})sq.cm\], then the area of its curved surface is: |
| A. | \[4m\times 2m\] |
| B. | \[625c{{m}^{2}}\] |
| C. | \[125c{{m}^{2}}\] |
| D. | \[150c{{m}^{2}}\] |
| Answer» D. \[150c{{m}^{2}}\] | |
| 477. |
If the ratio of the areas of two squares is 9 : 1 then the ratio of their perimeter is: |
| A. | 9:1 |
| B. | 0.127777777777778 |
| C. | 3:1 |
| D. | 0.04375 |
| Answer» D. 0.04375 | |
| 478. |
A rectangular carpet has an area of \[120\text{ }{{m}^{2}}\]and a perimeter of 46 m. The length of its diagonal is: |
| A. | 15m |
| B. | 16m |
| C. | 17m |
| D. | 20m |
| Answer» D. 20m | |
| 479. |
The ratio of total surface area to lateral surface area of a cylinder whose radius is 80 cm and height 20 cm is : |
| A. | 2:1 |
| B. | 0.125694444444444 |
| C. | 4:1 |
| D. | 0.209027777777778 |
| Answer» E. | |
| 480. |
The distance covered by a farmer around a field of 120 m, length and 80m width is............... m. |
| A. | 200 |
| B. | 300 |
| C. | 400 |
| D. | 500 |
| Answer» D. 500 | |
| 481. |
The dimension of the James guest room is . He wants to fix a pole in his room so that he can hang some important posters on it. He wants that the room should contain maximum number of the posters on it. The length of the longest pole he can fit in his room is: |
| A. | 21.36 m |
| B. | 20.44 m |
| C. | 22.56 m |
| D. | 20.98 m |
| E. | None of these |
| Answer» E. None of these | |
| 482. |
The radii of the bases of two cylinders are in the ratio of 1 : 2 respectively and their heights are in the ratio 2 : 1 respectively. Find the ratio of their volumes. |
| A. | 1 : 2 |
| B. | 1 : 4 |
| C. | 2 : 1 |
| D. | 4 : 1 |
| Answer» B. 1 : 4 | |
| 483. |
The area of a parallelogram is \[120\text{ }c{{m}^{2}}\]and its altitude is 10 cm. Find the length of the base. |
| A. | \[24\,cm\] |
| B. | \[12\,cm\] |
| C. | \[8\,cm\] |
| D. | \[4\,cm\] |
| Answer» C. \[8\,cm\] | |
| 484. |
The length of the longest rod that can be fit in a cubical room of 4 cm side is: |
| A. | 8.66m |
| B. | 5.196m |
| C. | 6.928m |
| D. | 7.264m |
| Answer» D. 7.264m | |
| 485. |
The volume of a cube is 125 cm3. The surface area of cube is: |
| A. | \[120%\] |
| B. | \[8m\times 6m\] |
| C. | \[\frac{5}{2}(9+5\sqrt{3})sq.cm\] |
| D. | \[\frac{5}{2}(13+5\sqrt{3})sq.cm\] |
| Answer» D. \[\frac{5}{2}(13+5\sqrt{3})sq.cm\] | |
| 486. |
A table cover \[75%\] is spread on a meeting table is .25 m of the cover hanging all around the table. The cost of polishing the table top at Rs.2.25 per square metre is: |
| A. | Rs. 8.89 |
| B. | Rs. 11.81 |
| C. | Rs. 8.59 |
| D. | none of these |
| Answer» C. Rs. 8.59 | |
| 487. |
Each side of an equilateral triangle is increased by 1.5%. The percentage increase in its area is: |
| A. | 3.02% |
| B. | 0.03 |
| C. | 4.5% |
| D. | 0.057 |
| Answer» B. 0.03 | |
| 488. |
The volume of a cube is\[512\text{ }c{{m}^{3}}\]. After a smaller cube is out off from it, its volume is \[448\,c{{m}^{3}}\]. What is the length of each side of the smaller cube? |
| A. | \[6\,cm\] |
| B. | \[7\,cm\] |
| C. | \[9\,cm\] |
| D. | \[4\,cm\] |
| Answer» E. | |
| 489. |
The ratio of areas of two squares if ratio of their diagonals 2:1. |
| A. | 2:1 |
| B. | 0.125694444444444 |
| C. | 3:2 |
| D. | 0.167361111111111 |
| Answer» E. | |
| 490. |
The capacity of a cup is\[300\text{ }ml\]. The capacity of a jug is twice that of a cup. What is the capacity of 3 cups and 3jugs? |
| A. | \[2.7\,l\] |
| B. | \[2700\,l\] |
| C. | \[27\,l\] |
| D. | \[270\,l\] |
| Answer» B. \[2700\,l\] | |
| 491. |
Diagonal of a parallelogram are 6 cm and 8 cm, respectively and one side is 5 cm. The area of parallelogram is: |
| A. | 48sq.cm |
| B. | 30sq.cm |
| C. | 24sq.cm |
| D. | 40sq.cm |
| Answer» D. 40sq.cm | |
| 492. |
One diagonal of a rhombus is 24 cm and its side is 13 cm. The area of the rhombus is: |
| A. | 25sq.m |
| B. | 312sq.m |
| C. | 125sq.cm |
| D. | 120sq.cm |
| Answer» E. | |
| 493. |
How many cubes of side \[4\text{ }cm\] can fill a rectangular box measuring \[60\text{ }cm\] by \[40\text{ }cm\] by\[24\text{ }cm\]? |
| A. | \[900\] |
| B. | \[90\] |
| C. | \[3600\] |
| D. | \[600\] |
| Answer» B. \[90\] | |
| 494. |
The area of the trapezium ABCD is: |
| A. | \[\sqrt{5}:2\] |
| B. | \[2:\sqrt{5}\] |
| C. | \[37\frac{1}{2}%\] |
| D. | \[60%\] |
| Answer» C. \[37\frac{1}{2}%\] | |
| 495. |
If each edge of a cube is increased by \[25%,\] what is the percentage increase in its surface area? |
| A. | \[25%,\] |
| B. | \[48.75%\] |
| C. | \[50%\] |
| D. | \[56.25%\] |
| Answer» E. | |
| 496. |
A room \[\sqrt{2}:1\] is to be carpeted by a carpet 2 m wide, the length of carpet required |
| A. | 12m |
| B. | 36m |
| C. | 24m |
| D. | 48m |
| Answer» D. 48m | |
| 497. |
A wooden box (open at the top) of thickness \[0.5\text{ }cm,\] length \[21\text{ }cm,\] width \[11\text{ }cm\] and height \[\text{6 }cm\] is painted on the inside. The expense for painting is \[Rs.\,70\]. What is the rate of painting per square centimetre? |
| A. | \[Rs.\,0.7\] |
| B. | \[Rs.\,0.5\] |
| C. | \[Rs.\,0.1\] |
| D. | \[Rs.\,0.2\] |
| Answer» D. \[Rs.\,0.2\] | |
| 498. |
A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed? |
| A. | 270m |
| B. | 230m |
| C. | 540m |
| D. | None of these |
| Answer» D. None of these | |
| 499. |
The bricks of dimension \[\mathbf{15cm}\times \mathbf{25cm}\times \mathbf{7cm}\] required to build a wall \[\left( \mathbf{3}.\mathbf{5}\times \mathbf{10}\times \mathbf{12} \right){{\mathbf{m}}^{\mathbf{3}}}\]are |
| A. | 160000 |
| B. | 170000 |
| C. | 180000 |
| D. | 200000 |
| Answer» B. 170000 | |
| 500. |
The area of a quadrilateral is 342 sq. m. The perpendiculars from two of its opposite vertices to the diagonal are 12 m and 12 m. What is the length of the diagonal? |
| A. | 28.6cm |
| B. | 25.3cm |
| C. | 28.5cm |
| D. | 22.5cm |
| Answer» D. 22.5cm | |