MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 23 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The base and corresponding altitude of a parallelogram are 18 cm and 6 cm respectively. What is its area? |
| A. | \[~36\text{ }c{{m}^{2}}\] |
| B. | \[~40\text{ }c{{m}^{2}}\] |
| C. | \[~44\,c{{m}^{2}}\] |
| D. | \[~108\,c{{m}^{2}}\] |
| Answer» E. | |
| 2. |
ABCD is a parallelogram and P is the midpoint of AB. If ar\[(APCD)=36\,c{{m}^{2}},\]find ar \[(\Delta ABC),\] |
| A. | \[~36\text{ }c{{m}^{2}}\] |
| B. | \[~48\text{ }c{{m}^{2}}\] |
| C. | \[~24\text{ }c{{m}^{2}}\] |
| D. | \[~42\text{ }c{{m}^{2}}\] |
| Answer» D. \[~42\text{ }c{{m}^{2}}\] | |
| 3. |
In\[\Delta ABC,AB=16cm,\,BC=9.6\,cm,\]\[\,CD\bot AB.\]if \[CD=6\,cm,\]find AE. |
| A. | 10 cm |
| B. | 48 cm |
| C. | 8.4 cm |
| D. | 9.6 cm |
| Answer» B. 48 cm | |
| 4. |
If D, E and F are the mid-points of the sides BC, CA and AB of a \[\Delta ABC\]respectively, what is the quadrilateral AFDE? |
| A. | A square |
| B. | A rectangle |
| C. | A parallelogram |
| D. | A trapezium |
| Answer» D. A trapezium | |
| 5. |
Find the area of the given quadrilateral ABCD. |
| A. | \[~36\text{ }c{{m}^{2}}\] |
| B. | \[~24\text{ }c{{m}^{2}}\] |
| C. | \[~48\text{ }c{{m}^{2}}\] |
| D. | \[~32\text{ }c{{m}^{2}}\] |
| Answer» B. \[~24\text{ }c{{m}^{2}}\] | |
| 6. |
Parallelograms on the same base and between the same parallels are equal in |
| A. | Perimeter |
| B. | Shape |
| C. | Area |
| D. | None of these |
| Answer» D. None of these | |
| 7. |
If AD is median of \[\Delta ABC\]and P is a point on AC such that \[ar(\Delta ADP):ar(\Delta ABD)=2:3,\]then\[ar(\Delta PDC):\] \[ar(\Delta ABC)\]is |
| A. | 0.045138888888889 |
| B. | 5 : 1 |
| C. | 1 : 6 |
| D. | 3 : 5 |
| Answer» D. 3 : 5 | |
| 8. |
Direction: Observe the figures given and choose the incorrect statements. |
| A. | \[ar(ABCD)=ar(ADEF)\] |
| B. | \[ar(ABCD)=ar(\Delta ADP)+ar(DEFP)\] |
| C. | \[ar(\Delta ADP)=\frac{1}{2}[ar(ABCD)]\] |
| D. | \[ar(ABCP)=ar(DEFP)\] |
| Answer» D. \[ar(ABCP)=ar(DEFP)\] | |
| 9. |
The mid-points of the sides of \[\Delta ABC\] along with any of the vertices as the fourth point make a parallelogram of area equal to |
| A. | \[\frac{1}{2}\]area\[(\Delta ABC)\] |
| B. | \[\frac{1}{3}\]area\[(\Delta ABC)\] |
| C. | \[\frac{1}{4}\]area\[(\Delta ABC)\] |
| D. | area \[(\Delta ABC)\] |
| Answer» B. \[\frac{1}{3}\]area\[(\Delta ABC)\] | |
| 10. |
Two parallelograms are on the same base and between the same parallels. What is the ratio of their areas? |
| A. | 0.084027777777778 |
| B. | 0.043055555555556 |
| C. | 0.042361111111111 |
| D. | 0.12569444444444 |
| Answer» D. 0.12569444444444 | |
| 11. |
In the given figure an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°, the area of the triangle is |
| A. | 25 \[c{{m}^{2}}\] |
| B. | \[\frac{25}{2}\sqrt{2}\,c{{m}^{2}}\] |
| C. | \[25\sqrt{2}\]\[c{{m}^{2}}\] |
| D. | \[25\sqrt{3}\]\[c{{m}^{2}}\] |
| Answer» D. \[25\sqrt{3}\]\[c{{m}^{2}}\] | |
| 12. |
The length and breadth of a rectangle are increased by 20 % and 10% respectively. The increase in the area of the resulting rectangle will be |
| A. | 0.6 |
| B. | 0.5 |
| C. | 0.4 |
| D. | 0.32 |
| Answer» E. | |
| 13. |
The length of a room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in square metres) is |
| A. | 280 |
| B. | 325 |
| C. | 300 |
| D. | 420 |
| Answer» D. 420 | |
| 14. |
In the figure given below, ABCD is a parallelogram. P is a point in BC such that PR : PC = 1 : 2, DP produced meets AB produced at Q, If the area of the \[\Delta BPQ\] is 20 Sq. units, what is the area of the\[\Delta DCP\]? |
| A. | 20 sq units |
| B. | 30 sq units |
| C. | 40 sq units |
| D. | none of the above |
| Answer» E. | |
| 15. |
In the given figure, ABCD is a quadrilateral with AB parallel to DC and AD parallel to BC, ADC is a right angle. If the perimeter of the\[\Delta \mathbf{ABE}\]is 6 units, what is the of the quadrilateral? |
| A. | \[2\sqrt{3}\]sq units |
| B. | 4 sq units |
| C. | 3 sq units |
| D. | \[4\sqrt{3}\]sq units |
| Answer» B. 4 sq units | |
| 16. |
Let LMNP be a parallelogram and NR be perpendicular to LP. If the area of the parallelogram is six times the area of \[\Delta \mathbf{RNP}\] and RP = 6 cm then LR is equal to |
| A. | 15 cm |
| B. | 12cm |
| C. | 9 cm |
| D. | 8 cm |
| Answer» C. 9 cm | |
| 17. |
A rectangular park 60 metre long and 40 metre wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 metre2 then the width of the road is |
| A. | 3 metre |
| B. | 5 metre |
| C. | 6 metre |
| D. | 2 metre |
| Answer» B. 5 metre | |
| 18. |
From any point inside an equilateral triangle, the lengths of perpendiculars 015 the sides are 'a? cm ?b? cm and ?c? cms. Its area (in\[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]) is |
| A. | \[\frac{\sqrt{2}}{3}\left( a+b+c \right)\] |
| B. | \[\frac{\sqrt{3}}{3}{{\left( a+b+c \right)}^{2}}\] |
| C. | \[\frac{\sqrt{3}}{3}\left( a+b+c \right)\] |
| D. | \[\frac{\sqrt{2}}{3}{{\left( a+b+c \right)}^{2}}\] |
| Answer» C. \[\frac{\sqrt{3}}{3}\left( a+b+c \right)\] | |
| 19. |
If the side of a square is increased by 20%, then its area is increased by : |
| A. | 0.25 |
| B. | 0.55 |
| C. | 0.44 |
| D. | 0.5625 |
| Answer» D. 0.5625 | |
| 20. |
The perimeter of a rhombus is 16 cm and the measure of an angle is \[60{}^\circ ,\] then the area of it is |
| A. | \[100\sqrt{3}\]\[c{{m}^{2}}\] |
| B. | \[8\sqrt{3}\]\[c{{m}^{2}}\] |
| C. | \[160\sqrt{3}\]\[c{{m}^{2}}\] |
| D. | 100 \[c{{m}^{2}}\] |
| Answer» C. \[160\sqrt{3}\]\[c{{m}^{2}}\] | |
| 21. |
The difference of the areas of two squares drawn on two line segments of different lengths is 51 sq. cm. Find the length of the greater line segment if one is longer than the other by 3 cm. |
| A. | 7 cm |
| B. | 9 cm |
| C. | 11 cm |
| D. | 16 cm |
| Answer» C. 11 cm | |
| 22. |
Sides of a parallelogram are in the ratio 5 : 4. Its area is 1000 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side is |
| A. | 30 units |
| B. | 25 units |
| C. | 10 units |
| D. | 15 units |
| Answer» C. 10 units | |
| 23. |
A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. Approximately how much paper has been used to make it? (use\[\sqrt{3}=\mathbf{1}.\mathbf{732}\]) |
| A. | 539.712 \[c{{m}^{2}}\] |
| B. | 538.721 \[c{{m}^{2}}\] |
| C. | 540.712 \[c{{m}^{2}}\] |
| D. | 539.217 \[c{{m}^{2}}\] |
| Answer» B. 538.721 \[c{{m}^{2}}\] | |