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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.
| 551. |
In a building, there are 24 cylindrical pillars. The radius of each pillar is \[28\text{ }cm\] and height is\[4\text{ }m\]. Find the total cost of painting the curved surface area of all pillars at the rate of Rs.8 per \[{{m}^{2}}\]. |
| A. | \[Rs.1352.68\] |
| B. | \[Rs.1351.68\] |
| C. | \[Rs.1353.68\] |
| D. | \[Rs.1340.68\] |
| Answer» C. \[Rs.1353.68\] | |
| 552. |
Find the surface area of a sphere of radius 7 cm. |
| A. | 616 \[c{{m}^{2}}\] |
| B. | 516 \[c{{m}^{2}}\] |
| C. | 590 \[c{{m}^{2}}\] |
| D. | 450 \[c{{m}^{2}}\] |
| Answer» B. 516 \[c{{m}^{2}}\] | |
| 553. |
The paint in a certain container is sufficient to paint an area equal to 9.375. How many bricks measuring can be painted out of this container? |
| A. | 90 |
| B. | 105 |
| C. | 110 |
| D. | 100 |
| E. | None of these |
| Answer» E. None of these | |
| 554. |
A room is 9 m long, 6 m wide and 4 m high. Find the cost of plastering its walls and ceiling at the rate of Rs.2.50 per square metre. |
| A. | Rs.435 |
| B. | Rs.600 |
| C. | Rs.502 |
| D. | Rs.354 |
| Answer» B. Rs.600 | |
| 555. |
A rectangular piece of paper \[11\text{ }cm\times 4\,cm\] is folded without overlapping to make a cylinder of height\[4\text{ }cm\]. Find the volume of the cylinder. |
| A. | \[38.5\,c{{m}^{3}}\] |
| B. | \[40.5\,c{{m}^{3}}\] |
| C. | \[41.5\,c{{m}^{3}}\] |
| D. | \[42.5\,c{{m}^{3}}\] |
| Answer» B. \[40.5\,c{{m}^{3}}\] | |
| 556. |
The number of cubical ice pieces of side 3 cm that can be cut from a cube of ice of side 9 cm is |
| A. | 16 |
| B. | 26 |
| C. | 27 |
| D. | 28 |
| Answer» D. 28 | |
| 557. |
The length and breadth of a rectangular plot are 900 m and 700 m respectively. If three rounds offence is fixed around the field at the cost of Rs.8 per meter, the total amount spent is |
| A. | Rs.768 |
| B. | Rs.7680 |
| C. | Rs.76,800 |
| D. | Rs.768,000 |
| Answer» D. Rs.768,000 | |
| 558. |
The ratio of areas of two squares, if diagonal of one is double the diagonal of the other, is ____. |
| A. | 3 : 2 |
| B. | 4 : 1 |
| C. | 3 : 1 |
| D. | 4 : 3 |
| Answer» C. 3 : 1 | |
| 559. |
The area of a circle is\[2\sqrt{2}c{{m}^{2}}\], then the diameter is |
| A. | 56m |
| B. | 154m |
| C. | 176m |
| D. | None of these |
| Answer» B. 154m | |
| 560. |
Find the number of lead balls of radius 1 cm each that can be made from a sphere of radius 4 cm. |
| A. | 24 |
| B. | 85 |
| C. | 64 |
| D. | 46 |
| Answer» D. 46 | |
| 561. |
A well 12 m deep with a diameter 3.5 m is dug up and earth from it is evenly spread to form a platform 10.5 m long and 8.8 m wide. Find the height of the platform. |
| A. | 2.5 m |
| B. | 12.5 m |
| C. | 1.25m |
| D. | 1.5m |
| Answer» D. 1.5m | |
| 562. |
The circumference of a circle is 44 m, then the area of the circle is |
| A. | \[77{{m}^{2}}\] |
| B. | \[1232c{{m}^{3}}\] |
| C. | \[=4\times 500m=2km\] |
| D. | \[2\sqrt{3}c{{m}^{2}}\] |
| Answer» D. \[2\sqrt{3}c{{m}^{2}}\] | |
| 563. |
What is the weight (in kg) of a cubical block of ice 50 cm in length if one cubic metre of ice weighs 900 kg? |
| A. | 110 |
| B. | 115 |
| C. | 112.5 |
| D. | 125 |
| E. | None of these |
| Answer» D. 125 | |
| 564. |
A square garden measuring 8 m on a side is surrounded by a 1 m wide path. What is the area of the path? |
| A. | \[\text{8}{{\text{m}}^{\text{3}}}\] |
| B. | \[\text{9}{{\text{m}}^{\text{2}}}\] |
| C. | \[\text{28 }{{\text{m}}^{\text{2}}}\] |
| D. | \[\text{36}{{\text{m}}^{\text{2}}}\] |
| Answer» E. | |
| 565. |
Find the area of a segment of a circle of radius \[21\text{ }cm\] if the arc of the segment has a measure of \[{{60}^{o}}\]. (Take \[\sqrt{3}=1.73\]) |
| A. | \[45.27\,c{{m}^{2}}\] |
| B. | \[40.8\,c{{m}^{2}}\] |
| C. | \[40.27\,c{{m}^{2}}\] |
| D. | \[42.07\,c{{m}^{2}}\] |
| Answer» D. \[42.07\,c{{m}^{2}}\] | |
| 566. |
If the rainfall on a certain day was 5 cm, then how many litres of water fell on 1 hectare field on that day? |
| A. | 5000 |
| B. | 500000 |
| C. | 450000 |
| D. | 550000 |
| E. | None of these |
| Answer» C. 450000 | |
| 567. |
A cylindrical tower is 5 metres in diameter and 14 metres high. The cost of white washing its curved surface at 50 paise per \[{{\text{m}}^{\text{2}}}\]is __. |
| A. | Rs.90 |
| B. | Rs.97 |
| C. | Rs.110 |
| D. | Rs.95 |
| Answer» D. Rs.95 | |
| 568. |
lf the radius of a circle is \[\frac{7}{\sqrt{\pi }}cm,\] what is the area of the circle? |
| A. | \[154\,c{{m}^{2}}\] |
| B. | \[\frac{49}{\pi }\,c{{m}^{2}}\] |
| C. | \[22\,c{{m}^{2}}\] |
| D. | \[49\,c{{m}^{2}}\] |
| Answer» E. | |
| 569. |
If the altitude of an equilateral triangle is \[4m\times 2m\]cm, its area is |
| A. | \[625c{{m}^{2}}\] |
| B. | \[125c{{m}^{2}}\] |
| C. | \[150c{{m}^{2}}\] |
| D. | \[100c{{m}^{2}}\] |
| Answer» B. \[125c{{m}^{2}}\] | |
| 570. |
The earth taken out from a pit is evenly spread over a rectangular field of length 90 m and width 60 m. If volume of the earth dug is then the field is raised by: |
| A. | 57 cm |
| B. | 52 cm |
| C. | 59 cm |
| D. | 60 cm |
| E. | None of these |
| Answer» B. 52 cm | |
| 571. |
A rectangular block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weight (in kg), if ice weighs \[\frac{9}{10}\] of the weight of the same volume of water and \[\text{1 c}{{\text{m}}^{\text{3}}}\] of water weighs 1 gm. |
| A. | 9 |
| B. | 13.5 |
| C. | 8 |
| D. | 9.5 |
| Answer» C. 8 | |
| 572. |
A room is in the form of a cuboid of measures. How many cuboidal boxes can be stored in it if the volume of one box is? |
| A. | 75000 |
| B. | 65000 |
| C. | 60000 |
| D. | 90000 |
| E. | None of these |
| Answer» E. None of these | |
| 573. |
What is the percentage change in the area of a rectangle obtained by decreasing its length and increasing its breadth by 5%? |
| A. | \[2.5%\]increase |
| B. | \[0.25%\] increase |
| C. | \[0.25%\]decrease |
| D. | \[2.5%\] decrease |
| Answer» D. \[2.5%\] decrease | |
| 574. |
A rectangular block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weighs if ice weighs of the weight of the same volume of water and 1 cm3 of water weighs 1 g. |
| A. | 12 kg |
| B. | 13.5 kg |
| C. | 15 kg |
| D. | 145 kg |
| E. | None of these |
| Answer» C. 15 kg | |
| 575. |
A wooden box (including the lid) has external dimensions 40 cm by 34 cm by 30 cm. If the wood is 1 cm thick, how many \[\,\text{c}{{\text{m}}^{\text{3}}}\]of wood is used in it? |
| A. | \[\text{6752 c}{{\text{m}}^{\text{3}}}\] |
| B. | \[\text{6750 c}{{\text{m}}^{\text{3}}}\] |
| C. | \[\text{5752 c}{{\text{m}}^{\text{3}}}\] |
| D. | \[\text{5750 c}{{\text{m}}^{\text{3}}}\] |
| Answer» B. \[\text{6750 c}{{\text{m}}^{\text{3}}}\] | |
| 576. |
The length of diagonal of a square whose area is \[37\frac{1}{2}%\] is |
| A. | 130m |
| B. | \[60%\] |
| C. | 169m |
| D. | 144m |
| Answer» C. 169m | |
| 577. |
How many coins 1.4 cm in diameter and 0.4 cm thick is to be melted to form, right circular cylinder of height 16 cm and diameter 3.5 cm |
| A. | 200 |
| B. | 150 |
| C. | 250 |
| D. | 300 |
| Answer» D. 300 | |
| 578. |
The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also find its weight if the metal weighs \[\text{8 g per c}{{\text{m}}^{\text{3}}}\]. |
| A. | \[\text{10440 c}{{\text{m}}^{\text{3}}}\text{, 91250 g}\] |
| B. | \[\text{13440 c}{{\text{m}}^{\text{3}}}\text{, 90000 g}\] |
| C. | \[\text{11440 c}{{\text{m}}^{\text{3}}}\text{, 91520 g}\] |
| D. | \[\text{12440 c}{{\text{m}}^{\text{3}}}\text{, 91550 g}\] |
| Answer» D. \[\text{12440 c}{{\text{m}}^{\text{3}}}\text{, 91550 g}\] | |
| 579. |
The perimeter of a triangular field is \[144\text{ }m\] and the ratio of its sides is\[3:4:5\]. What is the area of the field? |
| A. | \[864\,{{m}^{2}}\] |
| B. | \[468\,{{m}^{2}}\] |
| C. | \[824\,{{m}^{2}}\] |
| D. | \[486\,{{m}^{2}}\] |
| Answer» B. \[468\,{{m}^{2}}\] | |
| 580. |
The sides of a triangle are \[11\text{ }cm,\text{ }15\text{ }cm\]and\[16\text{ }cm\]. What is the measure of the altitude to the largest side? |
| A. | \[30\sqrt{7}\,cm\] |
| B. | \[30\,cm\] |
| C. | \[\frac{15\sqrt{7}}{4}\,cm\] |
| D. | \[\frac{15\sqrt{7}}{2}\,cm\] |
| Answer» D. \[\frac{15\sqrt{7}}{2}\,cm\] | |
| 581. |
Match column I with column II and select the correct answer using the code given below the columns: Column-I Column-II A. Volume of a cylinder is (p) \[\frac{1}{3}\pi {{r}^{2}}h\] B. Volume of a cone is (q) \[\frac{4}{3}\pi {{r}^{3}}\] C. Volume of a sphere is (r) \[\sqrt{{{h}^{2}}+{{r}^{2}}}\] D. Slant height of a cone is (s) \[\pi {{r}^{2}}h\] |
| A. | \[A-(s),B-(p),C-(r),D-(q)\] |
| B. | \[\frac{125\pi }{6}c{{m}^{2}}\] |
| C. | \[8\pi cm\] |
| D. | \[\frac{1}{2}\] |
| Answer» C. \[8\pi cm\] | |
| 582. |
Match column I with column II and select the correct answer using the code given below the columns: Column-I Column-II A. Area of equilateral triangle is (p) \[\frac{x}{3}\sqrt{\frac{x}{4\pi }}\] (Product of sides containing right angles) B. Height of an equilateral triangle is (q) \[{{(4\pi x)}^{3/2}}\] (Product of diagonals) C. Area of rhombus is (r) \[\frac{3\sqrt{2}}{\pi }{{x}^{3/2}}\] D. Area of trapezium is (s) \[DL\bot AB\] E. Area of right angled triangle is (t) \[DM\bot BC\] |
| A. | \[AB=18cm,\] |
| B. | \[BC=12cm,\] |
| C. | \[DM=10cm,\] |
| D. | \[A-(t),B-(s),C-(q)D-(r),E-(p)\] |
| Answer» D. \[A-(t),B-(s),C-(q)D-(r),E-(p)\] | |
| 583. |
DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE - 2 Area of the path enclosed between two concentric circles of radii R, r is \[1420c{{m}^{2}}\] and area of sector of a circle with sector angle \[1410c{{m}^{2}}\][r = radius of the circle] A group of workers engaged in plastering a wall completed half of the work on one day and quarter of the remaining in next day if still 45 sq mt. of the wall remained to be plastered, find the area of the wall. |
| A. | 120 sq.cm |
| B. | 90 sq. m |
| C. | 120 sq. m |
| D. | 90 sq.cm |
| Answer» D. 90 sq.cm | |
| 584. |
DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE - 2 Area of the path enclosed between two concentric circles of radii R, r is \[1420c{{m}^{2}}\] and area of sector of a circle with sector angle \[1410c{{m}^{2}}\][r = radius of the circle] The area of a sector of a circle with radius 7 cm and angle of the sector\[8470{{m}^{2}}\], is \[100m\times 75m\times 22m\] |
| A. | \[50{{m}^{3}}\] |
| B. | \[3{{x}^{2}}h\] |
| C. | \[\frac{h}{{{x}^{2}}}\] |
| D. | \[\frac{xh}{3}\] |
| Answer» B. \[3{{x}^{2}}h\] | |
| 585. |
DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE - 2 Area of the path enclosed between two concentric circles of radii R, r is \[1420c{{m}^{2}}\] and area of sector of a circle with sector angle \[1410c{{m}^{2}}\][r = radius of the circle] The areas of two concentric circles are \[8270{{m}^{2}}\] and \[8370{{m}^{2}}\]respectively Then the width of the ring is |
| A. | 2.5 cm |
| B. | 2.8cm |
| C. | 3.5cm |
| D. | 3.7cm |
| Answer» D. 3.7cm | |
| 586. |
DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE ? 1 Wood is required to make a closed box of external length 1.2 m, breadth 90 cm and height 72 cm. The thickness of the walls of the box being 2 cm throughout. The total cost of the wood at the rate of 20 paise per \[1440c{{m}^{2}}\] is |
| A. | 9864.40 |
| B. | 1968440 |
| C. | 19486.40 |
| D. | 19846.4 |
| Answer» E. | |
| 587. |
If ABCD is a parallelogram, then the ratio of the areas of parallelogram ABCD and \[150%\] is |
| A. | 1:2 |
| B. | 0.0840277777777778 |
| C. | cannot be determined |
| D. | None of these |
| Answer» C. cannot be determined | |
| 588. |
Two circular cylinders of equal volume have their heights in the ratio 9 : 16 Find the ratio of their radii |
| A. | 4 : 3 |
| B. | 5 : 6 |
| C. | 2 : 5 |
| D. | 5 : 7 |
| Answer» B. 5 : 6 | |
| 589. |
A hoop is resting vertically at staircase as shown in the diagram. AB=12 cm and BC=8 cm. The radius of the hoop is _____. |
| A. | 13 cm |
| B. | \[\text{12}\sqrt{2}\,\,cm\] |
| C. | 14 cm |
| D. | \[\text{13}\sqrt{2}\,\,cm\] |
| Answer» B. \[\text{12}\sqrt{2}\,\,cm\] | |
| 590. |
DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE ? 1 Wood is required to make a closed box of external length 1.2 m, breadth 90 cm and height 72 cm. The thickness of the walls of the box being 2 cm throughout. The Volume of the wood used, is |
| A. | \[169c{{m}^{3}}\] |
| B. | \[{{(cm)}^{2}}\] |
| C. | \[(\pi =3.14)\] |
| D. | \[1450c{{m}^{2}}\] |
| Answer» C. \[(\pi =3.14)\] | |
| 591. |
DIRECTIONS: Read the following passages and answer the questions that follow. A well is a vertical open cylinder of radius 1.2 m and height 5 m. The well contains water to a depth of 3 m (use: \[56c{{m}^{2}}\text{ and }560c{{m}^{2}}\]) The volume of water in the well, is \[2\pi {{r}^{4}}\] |
| A. | 13560 |
| B. | 31560 |
| C. | 53160 |
| D. | 51360 |
| Answer» B. 31560 | |
| 592. |
DIRECTIONS: Read the following passages and answer the questions that follow. A well is a vertical open cylinder of radius 1.2 m and height 5 m. The well contains water to a depth of 3 m (use: \[56c{{m}^{2}}\text{ and }560c{{m}^{2}}\]) The total internal area of the curved surface of the well and the bottom of the well is |
| A. | \[560c{{m}^{2}}\text{ and }56c{{m}^{2}}\] |
| B. | \[56c{{m}^{2}}\text{ and 61}6c{{m}^{2}}\] |
| C. | \[{{r}^{2}}\] |
| D. | \[\pi {{r}^{2}}\] |
| Answer» B. \[56c{{m}^{2}}\text{ and 61}6c{{m}^{2}}\] | |
| 593. |
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and 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): Volume of two spheres are in the ratio 64:27. Then the ratio of their surface areas are 16: 9. Reason (R): Volume of a sphere \[308{{m}^{2}}\] and surface area \[309{{m}^{2}}\] |
| 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. | |
| 594. |
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and 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): The circumference of a circle of diameter 14 cm is 44 cm. Reason (R): Circumference of the circle of radius\[307{{m}^{2}}\] |
| 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. | |
| 595. |
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and 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 the side of a rhombus is 10 cm and one diagonal is 16 cm, then area of the rhombus is \[{{r}^{2}}=64\]. Reason (R): Area of rhombus\[=2\times area\,of\,triangle.\] |
| 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. | |
| 596. |
DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and 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): Area of the triangle having three sides 4 m, 6 m and 8 m is 135 sq. m. Reason (R): If a, b, c are the lengths of the sides of a triangle Area \[=\frac{1}{3}\pi {{r}^{2}}h=\frac{1}{3}\times \frac{22}{7}\times {{r}^{2}}\times 2=\frac{44{{r}^{2}}}{21}\] where \[\frac{44\times 64}{21}=\frac{44{{r}^{2}}}{21}\] |
| 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. | |
| 597. |
Match column I with column II and select the correct answer using the code given below the columns: Column I Column II (A) In a circle with centre 0 and radius 5 cm, AB is a chord of length \[4x=84\pi \] cm. Then the area of sector AOB is........ \[x=21\pi \]. (p) 154 (B) Area of a quadrant of a circle whose circumference is 44 cm, is......... \[=\pi {{(42)}^{2}}:{{(21\pi )}^{2}}\pi \times 42\times 42:21\times 21\times \pi \times \pi =4:\pi \]. (q) 330 (C) A chord of a circle of radius 14 cm subtends a right angle at the centre. (r) \[=4:\frac{22}{7}=14:11\] (D) The area of ring whose outer and inner radii are 19cm and 16cm, respectively is......... \[R=\frac{5}{2}cm.\] (s) \[\therefore \] |
| A. | \[A-(s),B-(r),C-(p),D-(q)\] |
| B. | \[=\frac{4}{3}\pi {{r}^{3}}\] |
| C. | \[=\frac{4}{3}\times \frac{22}{7}\times 64c{{m}^{3}}[r=4cm]\] |
| D. | \[=\frac{44\times 64}{21}c{{m}^{3}}.\] |
| Answer» B. \[=\frac{4}{3}\pi {{r}^{3}}\] | |
| 598. |
A rectangular piece of paper is 71 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its breadth. Find the volume of the cylinder. |
| A. | 654 |
| B. | 764 |
| C. | 500 |
| D. | 564.78 |
| Answer» E. | |
| 599. |
The height of a cylinder is 80 cm and diameter of the base is 14 cm. Find the volume of cylinder. |
| A. | 12320 cubic units |
| B. | 15000 cubic units |
| C. | 21320 cubic units |
| D. | 3560 cubic units |
| Answer» B. 15000 cubic units | |
| 600. |
Volume of two cubes are in the ratio 1 : 27, find the ratio of their surface areas. |
| A. | 2 : 9 |
| B. | 1 : 9 |
| C. | 1 : 11 |
| D. | 2 : 13 |
| Answer» C. 1 : 11 | |