MCQOPTIONS
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This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your GEOMETRY knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In the given figure, AB || CD, m∠ABF = 45° and m∠CFC = 110°. Then, m∠FDC is : |
| A. | 25° |
| B. | 45° |
| C. | 35° |
| D. | 30° |
| Answer» B. 45° | |
| 2. |
In the given figure, AB || CD, ∠ABO = 40° and ∠CDO = 30°. If ∠DOB = x°, then the value of x is : |
| A. | 35° |
| B. | 110° |
| C. | 70° |
| D. | 140° |
| Answer» D. 140° | |
| 3. |
In the adjoining figure, ∠ABC = 100°, ∠EDC = 120° and AB || DE. Then, ∠BCD is equal to : |
| A. | 80° |
| B. | 60° |
| C. | 40° |
| D. | 20° |
| Answer» D. 20° | |
| 4. |
In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PRS = 20°. If ∠TSR = θ, then the value of θ is : |
| A. | 75° |
| B. | 55° |
| C. | 65° |
| D. | 45° |
| Answer» D. 45° | |
| 5. |
In the given figure AB || CD, ∠A = 128°, ∠E = 144°. Then, ∠FCD is equal to : |
| A. | 72° |
| B. | 64° |
| C. | 136° |
| D. | 92° |
| Answer» E. | |
| 6. |
The straight lines AD and BC intersect one another at the point O.If ∠AOB + ∠BOD + ∠DOC = 274°, then ∠AOC is : |
| A. | 86° |
| B. | 90° |
| C. | 94° |
| D. | 137° |
| Answer» B. 90° | |
| 7. |
Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC is : |
| A. | 63° |
| B. | 117° |
| C. | 17° |
| D. | 153° |
| Answer» C. 17° | |
| 8. |
The supplement of 154° 30’ is : |
| A. | 25° 30’ |
| B. | 44° 45’ |
| C. | 158° 45’ |
| D. | 168° 30’ |
| Answer» B. 44° 45’ | |
| 9. |
The complement of 72° 40’ is : |
| A. | 107° 20’ |
| B. | 27° 20’ |
| C. | 17° 20’ |
| D. | 12° 40’ |
| Answer» D. 12° 40’ | |
| 10. |
An angle which is greater than 180° but less than 360° is called : |
| A. | An actue angle |
| B. | An obtuse angle |
| C. | An adjacent angle |
| D. | A reflex angle |
| Answer» E. | |
| 11. |
A wheel makes 12 revolutions per min. The angle in radian described by a spoke of the wheel in 1 s is: |
| A. | 5π/2 |
| B. | 2π/5 |
| C. | 3π/5 |
| D. | 4π/5 |
| Answer» C. 3π/5 | |
| 12. |
Consider the following statements I. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them. II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property. Which of the above statements is/are correct? |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» D. Neither I nor II | |
| 13. |
The angles x°, a°, c° and (π– b)° are indicated in the figure given below.Which one of the following is correct? |
| A. | x° = a° + c°– b° |
| B. | x° = b° – a° – c° |
| C. | x° = a° + b° + c° |
| D. | x° = a° – b° + c° |
| Answer» D. x° = a° – b° + c° | |
| 14. |
In the figure given below, AB is parallel to CD.∠ABC = 65°,∠CDE = 15° and AB = AE.What is the value of∠AEF? |
| A. | 30° |
| B. | 35° |
| C. | 40° |
| D. | 45° |
| Answer» C. 40° | |
| 15. |
In the figure given below, ABC is a triangle. BC is parallel to AE. If BC = AC, then what is the value of∠CAE? |
| A. | 20° |
| B. | 30° |
| C. | 40° |
| D. | 50° |
| Answer» E. | |