MCQOPTIONS
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MCQOPTIONS
This section includes 34 Mcqs, each offering curated multiple-choice questions to sharpen your MENSURATION knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In the figure given below, the area of rectangle ABCD is 100 sq cm, O is any point on AB and CD = 20 cm. Then, the area of ΔCOD is |
| A. | 40 cm2 |
| B. | 45 cm2 |
| C. | 50 cm2 |
| D. | 80 cm2 |
| Answer» D. 80 cm2 | |
| 2. |
One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram ? |
| A. | 12.56 cm2 |
| B. | 14.56 cm2 |
| C. | 16.76 cm2 |
| D. | 22.56 cm2 |
| Answer» D. 22.56 cm2 | |
| 3. |
The perimeter of a rectangle having area equal to 144 cm2and sides in the ratio 4 : 9 is |
| A. | 52 cm2 |
| B. | 56 cm2 |
| C. | 60 cm2 |
| D. | 64 cm2 |
| Answer» B. 56 cm2 | |
| 4. |
What is the area between a square of side 10 cm and two inverted semi-circular, cross-sections each of radius 5 cm inscribed in the square ? |
| A. | 17.5 cm2 |
| B. | 18.5 cm2 |
| C. | 20.5 cm2 |
| D. | 21.5 cm2 |
| Answer» E. | |
| 5. |
The area of an isosceles ΔABC with AB = AC and altitude AD = 3 cm is 12 sq cm. What is its perimeter ? |
| A. | 18 cm |
| B. | 16 cm |
| C. | 14 cm |
| D. | 12 cm |
| Answer» B. 16 cm | |
| 6. |
If the area of a rectangle whose length is 5 units more than twice its width is 75 sq units. What is the perimeter of the rectangle? |
| A. | 40 units |
| B. | 30 units |
| C. | 24 units |
| D. | 20 units |
| Answer» B. 30 units | |
| 7. |
If the area of a circle is equal to the area of square with side 2√π units, then what is the diameter of the circle ? |
| A. | 1 unit |
| B. | 2 units |
| C. | 4 units |
| D. | 8 units |
| Answer» D. 8 units | |
| 8. |
If the area of a circle inscribed in an equilateral triangle is 154 sq cm, then what is the perimeter of the triangle ? |
| A. | 21 cm |
| B. | 42√3 cm |
| C. | 21√3 cm |
| D. | 42 cm |
| Answer» C. 21√3 cm | |
| 9. |
If the circumference of two circles are in the ratio 2 : 3, then what is the ratio of their areas ? |
| A. | 2 : 3 |
| B. | 4 : 9 |
| C. | 1 : 3 |
| D. | 8 : 27 |
| Answer» C. 1 : 3 | |
| 10. |
If the circumference of a circle is equal to the perimeter of square, then which one of the following is correct ? |
| A. | Area of circle = Area of square |
| B. | Area of circle ≥ Area of square |
| C. | Area of circle > Area of square |
| D. | Area of circle < Area of square |
| Answer» D. Area of circle < Area of square | |
| 11. |
If a circle circumscribes a rectangle with side 16 cm and 12 cm, then what is the area of the circle ? |
| A. | 48π sq cm |
| B. | 50π sq cm |
| C. | 100π sq cm |
| D. | 200π sq cm |
| Answer» D. 200π sq cm | |
| 12. |
What is the area of an equilateral triangle having altitude equal to 2√3 cm? |
| A. | √3 sq cm |
| B. | 2√3 sq cm |
| C. | 3√3 sq cm |
| D. | 4√3 sq cm |
| Answer» E. | |
| 13. |
If the area of a ΔABC is equal to area of square of sde length 6 cm, then what is the length of the altitude to AB, where AB = 9 cm ? |
| A. | 18 cm |
| B. | 14 cm |
| C. | 12 cm |
| D. | 8 cm |
| Answer» E. | |
| 14. |
The length of a minute hand of a wall clock is 9 cm. What is the area swept (in cm2) by the minute hand in 20 min ? (take π = 3.14) |
| A. | 88.78 |
| B. | 84.78 |
| C. | 67.74 |
| D. | 57.78 |
| Answer» C. 67.74 | |
| 15. |
A piece of wire 78 cm long is bent in the form of an isosceles triangle. If the ratio of one of the equal sides to the base is 5 : 3, then what is the length of the base? |
| A. | 16 cm |
| B. | 18 cm |
| C. | 20 cm |
| D. | 30 cm |
| Answer» C. 20 cm | |
| 16. |
A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is |
| A. | 77 cm |
| B. | 97 cm |
| C. | 67 cm |
| D. | 87 cm |
| Answer» B. 97 cm | |
| 17. |
In ΔPQR, the line drawn from the vertex P intersects QR at point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is |
| A. | 4 : 1 |
| B. | 3 : 1 |
| C. | 3 : 2 |
| D. | 2 : 1 |
| Answer» E. | |
| 18. |
The difference between the radii of bigger circle and smaller circle is 14 cm and the difference between their areas is 1056 cm2. Radius of the smaller circle is |
| A. | 7 cm |
| B. | 5 cm |
| C. | 9 cm |
| D. | 3 cm |
| Answer» C. 9 cm | |
| 19. |
ABCD is parallelogram. P and Q are the mid-points of sides BC and CD respectively. If the area of ΔABC is 12 cm2, then the area of ΔAPQ is |
| A. | 12 cm2 |
| B. | 8 cm2 |
| C. | 9 cm2 |
| D. | 10 cm2 |
| Answer» D. 10 cm2 | |
| 20. |
ABC is a right angled triangle. B being the right angle. Mid-points of BC and AC are respectively B’ and A’. Area of ΔA’B’C is |
| A. | 1 × area of ΔABC 2 |
| B. | 2 × area of ΔABC 3 |
| C. | 1 × area of ΔABC 4 |
| D. | 1 × area of ΔABC 8 |
| Answer» D. 1 × area of ΔABC 8 | |
| 21. |
The area of rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length? |
| A. | 24 cm |
| B. | 28 cm |
| C. | x Unit (π –3) |
| D. | 26 cm |
| Answer» C. x Unit (π –3) | |
| 22. |
A rectangular grassy plot 110 m by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre. |
| A. | Rs.150 |
| B. | Rs. 340 |
| C. | Rs. 530 |
| D. | Rs. 680 |
| Answer» E. | |
| 23. |
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares. |
| A. | 4 cm |
| B. | 6 cm |
| C. | 24 cm |
| D. | 30 cm |
| Answer» D. 30 cm | |
| 24. |
A room 5 m 44 cm long and 3 m 74 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. |
| A. | 120 |
| B. | 145 |
| C. | 176 |
| D. | 185 |
| Answer» D. 185 | |
| 25. |
In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error percent in the area calculated from these measurements. |
| A. | 0.2 % |
| B. | 0.4 % |
| C. | 0.8 % |
| D. | 0.12 % |
| Answer» D. 0.12 % | |
| 26. |
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq cm. find the length of the rectangle. |
| A. | 5 cm |
| B. | 10 cm |
| C. | 20 cm |
| D. | 40 cm |
| Answer» E. | |
| 27. |
Find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of Rs. 12.40 per metre? |
| A. | Rs. 1934.40 |
| B. | Rs. 1265.43 |
| C. | Rs. 1374.40 |
| D. | Rs. 1005.21 |
| Answer» B. Rs. 1265.43 | |
| 28. |
A lawn is in the form of a rectangle having its sides in the ratio 2:3 The area of the lawn is 1/6 hectares. Find the length and breadth of the lawn. |
| A. | 10 m |
| B. | 20 m |
| C. | 30 m |
| D. | 50 m |
| Answer» E. | |
| 29. |
One side of rectangular field is 15 m and one of its diagonals is 17 m find the area of the field? |
| A. | 75 m2 |
| B. | 120 m2 |
| C. | 240 m2 |
| D. | 350 m2 |
| Answer» C. 240 m2 | |
| 30. |
If AB and CD are two diameters of a circle of radius r and they are mutually perpendicular, then what is the ratio of the area of the circle to the area of the ΔACD ? |
| A. | π 2 |
| B. | π |
| C. | π 4 |
| D. | 2π |
| Answer» C. π 4 | |
| 31. |
Consider an equiateral triangle of a side of unit length. A new equilateral triangle is formed by joining the mid-points of one, then a third equilateral triangle is formed by joining the mid-points of second. The process is continued. The perimeter of all triangles, thus formed is |
| A. | 2 units |
| B. | 3 units |
| C. | 6 units |
| D. | infinity |
| Answer» D. infinity | |
| 32. |
ABC is a triangle right angled at A. AB = 6 cm and AC = 8 cm. Semi-circles drawn (outside the triangle) on AB, AC and BC as diameters which enclose areas x, y and z square units, respectively. What is x + y – z equal to ? |
| A. | 48 cm2 |
| B. | 32 cm2 |
| C. | 0 |
| D. | None of these |
| Answer» D. None of these | |
| 33. |
A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is |
| A. | a2 |
| B. | 2a2 |
| C. | 3a2 |
| D. | 4a2 |
| Answer» C. 3a2 | |
| 34. |
The area of a sector of a circle of radius 36 cm is 72π cm2. The length of the corresponding arc of the sector is |
| A. | π cm |
| B. | 2π cm |
| C. | 3π cm |
| D. | 4π cm |
| Answer» E. | |