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MCQOPTIONS
This section includes 2154 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 651. |
If the diameter of a circle is double to the diagonal of a square, then find the ratio of their areas. |
| A. | 22:7 |
| B. | 1.83819444444444 |
| C. | 11:7 |
| D. | 0.460416666666667 |
| E. | None of these |
| Answer» C. 11:7 | |
| 652. |
The area of an isosceles triangle with equal sides 5.1 meters and the third side 4.6 meters is |
| A. | 10.47 sq. m |
| B. | 2.86 sq. m |
| C. | 10.45 sq. m |
| D. | None of these |
| Answer» B. 2.86 sq. m | |
| 653. |
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. | \[4748\,{{m}^{2}}\] |
| C. | \[4950\,{{m}^{2}}\] |
| D. | \[5049\,{{m}^{2}}\] |
| Answer» B. \[4748\,{{m}^{2}}\] | |
| 654. |
Area of four walls of a rectangular room is \[77\,{{m}^{2}}.\] The length and breadth of the room are 7.5 m and 3.5m respectively. The height of the room is |
| A. | 7.7 m |
| B. | 3.5 m |
| C. | 6.77 m |
| D. | 5.4 m |
| Answer» C. 6.77 m | |
| 655. |
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 | |
| 656. |
The ratio of the volumes of two cubes is 1331: 1728. What is the ratio of their total surface areas? |
| A. | 0.890972222222222 |
| B. | 8:11 |
| C. | 121:144 |
| D. | 121:225 |
| E. | None of these |
| Answer» D. 121:225 | |
| 657. |
A rectangular carpet has an area of \[120\text{ }{{m}^{2}}\] and a perimeter of 46 m. The length of its diagonal is |
| A. | 15 m |
| B. | 16 m |
| C. | 17 m |
| D. | 20 m |
| Answer» D. 20 m | |
| 658. |
A farmer wants to purchase a trapezoidal shaped land, whose parallel sides are 16ft, 14ft and the perpendicular distance between them is 19ft. Find the total cost (in Rs.) of the field at the rate of Rs. 1800 per sq. ft. |
| A. | 522000 |
| B. | 513000 |
| C. | 621000 |
| D. | 612000 |
| E. | None of these |
| Answer» C. 621000 | |
| 659. |
If each of the dimensions of a rectangle is increased by 100% its area is increased by |
| A. | 100% |
| B. | 2 |
| C. | 300% |
| D. | 4 |
| Answer» D. 4 | |
| 660. |
The area of a parallelogram is 288 cm2 and its height is 16cm. Find the length of the corresponding base, |
| A. | 18 cm |
| B. | 20 cm |
| C. | 22 cm |
| D. | 24 cm |
| E. | None of these |
| Answer» B. 20 cm | |
| 661. |
Each side of an equilateral triangle is increased by 1.5%. The percentage increase in its area is |
| A. | 1.5% |
| B. | 0.03 |
| C. | 4.5% |
| D. | 0.057 |
| Answer» C. 4.5% | |
| 662. |
The ratio of areas of two squares, one having double its diagonal than the other is |
| A. | 2 : 1 |
| B. | 0.125694444444444 |
| C. | 3 : 2 |
| D. | 0.167361111111111 |
| Answer» E. | |
| 663. |
The length a rectangle is increased by 60%. By what percentage would the width have to be decreased to maintain the same area |
| A. | \[37\frac{1}{2}%\] |
| B. | \[60%\] |
| C. | \[75%\] |
| D. | \[120%\] |
| Answer» B. \[60%\] | |
| 664. |
If the ratio of circumference of two circles is 4:9, the ratio of their area is |
| A. | 9 : 4 |
| B. | 0.722916666666667 |
| C. | 4 : 9 |
| D. | 0.0854166666666667 |
| Answer» C. 4 : 9 | |
| 665. |
The distance covered by a wheel on rotating it 425 times is 28050 cm. Find the radius of the wheel. |
| A. | 7.5cm |
| B. | 4.2cm |
| C. | 10.5cm |
| D. | 11.7cm |
| E. | None of these |
| Answer» D. 11.7cm | |
| 666. |
When the circumference and area of a circle are numerically equal, then the diameter is numerically equal to |
| A. | area |
| B. | circumference |
| C. | \[2\pi \] |
| D. | \[4\] |
| Answer» E. | |
| 667. |
A room is 8.5m long and 6m wide. If the floor of the room is to be covered with tiles of size 20cm by 15cm, then find the cost of covering the floor with tiles at the rate Rs.6.50 per tile. |
| A. | Rs.11050 |
| B. | Rs.10820 |
| C. | Rs.12720 |
| D. | Rs.14600 |
| E. | None of these |
| Answer» B. Rs.10820 | |
| 668. |
If the circumference of a circle is \[\frac{30}{\pi },\] then the diameter of the circle is |
| A. | \[60\,\pi \] |
| B. | \[\frac{15}{\pi }\] |
| C. | \[\frac{30}{{{\pi }^{2}}}\] |
| D. | \[30\] |
| Answer» D. \[30\] | |
| 669. |
\[\mathbf{100},\text{ }\mathbf{90},\text{ }\mathbf{00},\text{ }\mathbf{000}\text{ }\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\] is not to ____________. |
| A. | 10 hectare |
| B. | 0.01 square km |
| C. | 1, 00, 000 square meter |
| D. | 100, 00, 000 square decimeter |
| E. | None of these |
| Answer» C. 1, 00, 000 square meter | |
| 670. |
Area of the shaded region is |
| A. | 96 sq. m |
| B. | 15 sq. m |
| C. | 81 sq. m |
| D. | 111 sq. m |
| Answer» D. 111 sq. m | |
| 671. |
The difference between circumference and radius of a circle is 37 m. The circumference of that circle is |
| A. | 7 m |
| B. | 44 m |
| C. | 154 m |
| D. | None of these |
| Answer» C. 154 m | |
| 672. |
The area of a circle is \[2464\,{{m}^{2}},\] then the diameter is |
| A. | 56 m |
| B. | 154 m |
| C. | 176 m |
| D. | None of these |
| Answer» B. 154 m | |
| 673. |
A circle of radius 21 cm is cut into four equal parts as shown below. Find the perimeter of the figure. |
| A. | 132cm |
| B. | 174cm |
| C. | 166cm |
| D. | 188cm |
| E. | None of these |
| Answer» C. 166cm | |
| 674. |
The circumference of a circle is 44 m; then the area of the circle is |
| A. | \[6084.5\,{{m}^{2}}\] |
| B. | \[276.5\,{{m}^{2}}\] |
| C. | \[154\,{{m}^{2}}\] |
| D. | \[44\,{{m}^{2}}\] |
| Answer» D. \[44\,{{m}^{2}}\] | |
| 675. |
If the altitude of an equilateral triangle is \[\sqrt{6}\,cm,\]its area is |
| 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. \[2\sqrt{2}\,c{{m}^{2}}\] | |
| 676. |
The sides of a triangle are 11 cm, 15 cm and 16cm. The altitude to 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. \[30\,cm\] | |
| 677. |
The adjacent sides of a parallelogram are 8 cm and 9 cm. The diagonal joining the ends of these sides is 13 cm. Its area is |
| 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. \[24\sqrt{35}\,c{{m}^{2}}\] | |
| 678. |
Find the length of tape required to cover the edges of a semicircular disc of radius 14cm. |
| A. | 60cm |
| B. | 72cm |
| C. | 84cm |
| D. | 96cm |
| E. | None of these |
| Answer» C. 84cm | |
| 679. |
The base of an isosceles right triangle is 30 cm. Its area is |
| A. | \[225\,c{{m}^{2}}\] |
| B. | \[225\sqrt{3}\,c{{m}^{2}}\] |
| C. | \[5\sqrt{2}\,c{{m}^{2}}\] |
| D. | None of these |
| Answer» B. \[225\sqrt{3}\,c{{m}^{2}}\] | |
| 680. |
The length of diagonal of a square whose area is \[16900\,{{m}^{2}}\]is |
| A. | \[130\,m\] |
| B. | \[130\sqrt{2}\,m\] |
| C. | \[169\,m\] |
| D. | \[144\,m\] |
| Answer» C. \[169\,m\] | |
| 681. |
Find the area of a rhombus whose perimeter and one of its diagonal are 68 cm and 30 cm respectively. |
| A. | \[220c{{m}^{2}}\] |
| B. | \[260c{{m}^{2}}\] |
| C. | \[240c{{m}^{2}}\] |
| D. | \[280c{{m}^{2}}\] |
| E. | None of these |
| Answer» D. \[280c{{m}^{2}}\] | |
| 682. |
The difference between the circumference and radius of a circle is 74 m. What is the circumference of the circle. |
| A. | \[56\text{ }m\] |
| B. | \[\text{74 }m\] |
| C. | \[\text{110 }m\] |
| D. | \[\text{88 }m\] |
| Answer» E. | |
| 683. |
The circular grass lawn of radius 28 m has a path of width 7 m around it on the outside. What is the area of the path? |
| A. | \[1300\text{ }sq.\text{ }m.\] |
| B. | \[1447\text{ }sq.\text{ }m.\] |
| C. | \[1781\text{ }sq.\text{ }m.\] |
| D. | \[1386\text{ }sq.\text{ }m.\] |
| Answer» E. | |
| 684. |
The floor of a hall measures \[20\,m\]by \[20\,m\]. A carpet is placed on the floor from wall to wall. What is the cost of the carpet if \[1\,{{m}^{2}}\] of costs \[Rs.\,50\]and for every \[1{{m}^{2}}\]of carper laid, \[\frac{1}{5}\,{{m}^{2}}\] of carpet material is wasted in cutting and laying? |
| A. | \[Rs.\,25000\] |
| B. | \[Rs.\,20000\] |
| C. | \[Rs.16000\] |
| D. | \[Rs.12000\] |
| Answer» B. \[Rs.\,20000\] | |
| 685. |
The perimeter of rectangular piece of paper is 84 units. If the length is six times its width, what is its length? |
| A. | \[6\,cm\] |
| B. | \[18\,cm\] |
| C. | \[36\,cm\] |
| D. | \[42\,cm\] |
| Answer» D. \[42\,cm\] | |
| 686. |
The area of a triangular field in the shape of a right triangle is \[400\,sq.m.\] where base and altitude are in the ratio \[2:1\]. Find the perimeter. |
| A. | \[20\left( 3+\sqrt{5} \right)m\] |
| B. | \[100\,m\] |
| C. | \[20\left( 3-\sqrt{5} \right)m\] |
| D. | \[20\left( 3+2\sqrt{5} \right)m\] |
| Answer» B. \[100\,m\] | |
| 687. |
A wire, when bent in the form of a square, encloses an area of\[81\text{ }c{{m}^{2}}\]. If the same wire is bent in the form of a circle then find the area enclosed by it. |
| A. | \[101\frac{1}{11}c{{m}^{2}}\] |
| B. | \[81\,c{{m}^{2}}\] |
| C. | \[103\frac{1}{11}\,c{{m}^{2}}\] |
| D. | \[100\,c{{m}^{2}}\] |
| Answer» D. \[100\,c{{m}^{2}}\] | |
| 688. |
Diameter of a wheel of a train is\[154\text{ }m\]. How much distance will it cover in 1000 revolutions? |
| A. | \[2.84\text{ }km\] |
| B. | \[5.24\text{ }km\] |
| C. | \[6.16\text{ }km\] |
| D. | \[4.84\text{ }km\] |
| Answer» C. \[6.16\text{ }km\] | |
| 689. |
The length and the breadth of, IIT Playground are 400 m and 250 m respectively. What is the cost of the land at Rs. 500 per square metre? |
| A. | Rs.10 lakhs |
| B. | Rs.50 crores |
| C. | Rs.5 crores |
| D. | Rs.10 lakhs |
| Answer» D. Rs.10 lakhs | |
| 690. |
One side of a parallelogram is \[240\text{ }dm\] and its area is\[576\text{ }{{m}^{2}}\]. Find the corresponding altitude. |
| A. | \[24\,m\] |
| B. | \[24cm\] |
| C. | \[24\,dm\] |
| D. | \[24\,dm\] |
| Answer» B. \[24cm\] | |
| 691. |
A rhombus ABCD is inscribed in a rectangle PQRS. If area of rhombus is \[{{\Delta }_{1}}\] & that of rectangle is \[{{\Delta }_{2}},\]then |
| A. | \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=1\] |
| B. | \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{1}{2}\] |
| C. | \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{2}{1}\] |
| D. | \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}={}^{1}/{}_{3}\] |
| Answer» C. \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{2}{1}\] | |
| 692. |
Diagonals of a rhombus intersect each other at an angle of |
| A. | \[45{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[120{}^\circ \] |
| Answer» D. \[120{}^\circ \] | |
| 693. |
A field in shape of a rhombus is shown as below: Find its area: |
| A. | \[300\text{ }sq.\text{ }m.\] |
| B. | \[150\text{ }sq.\text{ }m.\] |
| C. | \[400\text{ }sq.\text{ }m.\] |
| D. | \[\frac{300\times \sqrt{3}}{2}\text{ }sq.\text{ }m.\] |
| Answer» C. \[400\text{ }sq.\text{ }m.\] | |
| 694. |
Look at the trapezium below: Find area of trapezium? |
| A. | \[100\,sq.m\] |
| B. | \[201\,sq.m\] |
| C. | \[150\,sq.m\] |
| D. | \[75\,sq.m\] |
| Answer» E. | |
| 695. |
The area of an equilateral triangle is \[100\sqrt{3}{{m}^{2}}.\] Find the perimeter of this triangle. |
| A. | \[27.5\,m\] |
| B. | \[4.5m\] |
| C. | \[60m\] |
| D. | \[10m\] |
| Answer» D. \[10m\] | |
| 696. |
The cost of cutting grass from a triangular field at Rs. 45 per \[100\text{ }{{m}^{2}}\]is Rs. 900. Fine its height if twice the base of the triangle is 5 times the height. |
| A. | \[30\,m\] |
| B. | \[40\,m\] |
| C. | \[50\,m\] |
| D. | \[10\,m\] |
| Answer» C. \[50\,m\] | |
| 697. |
Area of a triangle whose sides are 20 cm, 30 cm and 30 cm is |
| A. | \[10\sqrt{2}\,c{{m}^{2}}\] |
| B. | \[200\sqrt{2}\,c{{m}^{2}}\] |
| C. | \[100\,c{{m}^{2}}\] |
| D. | \[200\,c{{m}^{2}}\] |
| Answer» C. \[100\,c{{m}^{2}}\] | |
| 698. |
If the ratio of circumference of two circle is \[4:9,\]what is the ratio of their areas? |
| A. | \[9:4\] |
| B. | \[16:81\] |
| C. | \[4:9\] |
| D. | \[2:3\] |
| Answer» C. \[4:9\] | |
| 699. |
A How many plants (approximately) will be there in a circular bed whose outer edge measures 30 cm allowing \[4\text{ }c{{m}^{2}}\]for each plant? |
| A. | \[18\] |
| B. | \[750\] |
| C. | 24 |
| D. | 120 |
| Answer» B. \[750\] | |
| 700. |
If \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E,}\]\[\text{C}\,\text{+}\,\text{D}\,\text{=}\,\text{2B}\]and \[\text{B}\,\text{+}\,\text{E}\,\text{}\,\text{C}\,\text{+}\,\text{D,}\]it necessarily follows that |
| A. | \[\text{A}\,\text{+}\,\text{B }\,\text{2}\,\text{D}\] |
| B. | \[\text{B}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E}\] |
| C. | \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{E}\] |
| D. | \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{C}\] |
| Answer» E. | |