MCQOPTIONS
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MCQOPTIONS
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. |
The difference between the exterior and interior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is |
| A. | 10 |
| B. | 15 |
| C. | 24 |
| D. | 30 |
| Answer» D. 30 | |
| 2. |
ABCD is a cyclic quadrilateral and AB is a diameter. If ∠BAC = 55° then value of ∠ADC is |
| A. | 55° |
| B. | 35° |
| C. | 145° |
| D. | 125° |
| Answer» D. 125° | |
| 3. |
If ABCD be a cyclic quadrilateral in which ∠A = 4x°, ∠B = 7x°, ∠C = 5y°, ∠D = y°, then x : y is |
| A. | 3 : 4 |
| B. | 4 : 3 |
| C. | 5 : 4 |
| D. | 4 : 5 |
| Answer» C. 5 : 4 | |
| 4. |
In a cyclic quadrilateral ∠A + ∠C = ∠B + ∠D = ? |
| A. | 270° |
| B. | 360° |
| C. | 90° |
| D. | 180° |
| Answer» E. | |
| 5. |
ABCD is a cyclic quadrilateral and O is the centre of the circle. If ∠COD = 140° and ∠BAC = 40°, then the value of ∠BCD is equal to |
| A. | 70° |
| B. | 90° |
| C. | 60° |
| D. | 80° |
| Answer» B. 90° | |
| 6. |
If an exterior angle of a cyclic quadrilateral be 50°, then the interior opposite angles is : |
| A. | 130° |
| B. | 40° |
| C. | 50° |
| D. | 90° |
| Answer» D. 90° | |
| 7. |
The ratio of the angles of a quadrilateral is 5 : 4 : 3 : 8. The smallest angle of a triangle is one-fourth the largest angle of the quadrilateral and the largest angle of the triangle 38° more than the second largest angle of the triangle. What is the second largest angle of the triangle? |
| A. | 35° |
| B. | 53° |
| C. | 43° |
| D. | 34° |
| Answer» C. 43° | |
| 8. |
ABCD is a cyclic trapezium such that AD || BC, if ∠ABC = 70°, then the value of ∠BCD is : |
| A. | 60° |
| B. | 70° |
| C. | 40° |
| D. | 80° |
| Answer» C. 40° | |
| 9. |
Let ABCD be a parallelogram. Let P, Q, R and S be the mid-points of sides AB, BC, CD and DA respectively. Consider the following statements. I. Area of triangle APS < Area of triangle DSR, if BD < AC. II. Area of triangle ABC = 4 (Area of triangle BPQ). Select the correct answer using the codes given below. |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» C. Both I and II | |
| 10. |
The area of a rectangle lies between 40 cm2and 45 cm2. If one of the sides is 5 cm, then its diagonal lies between |
| A. | 8 cm and 10 cm |
| B. | 9 cm and 11 cm |
| C. | 10 cm and 12 cm |
| D. | 11 cm and 13 cm |
| Answer» C. 10 cm and 12 cm | |
| 11. |
In a trapezium, the two non-parallel sides are equal in length, each being of 5 cm. The parallel sides are at a distance of 3 cm apart. If the smaller side of the parallel sides is of length 2 cm, then the sum of the diagonals of the trapezium is |
| A. | 10√5 cm |
| B. | 6√5 cm |
| C. | 3√5 cm |
| D. | 5√5 cm |
| Answer» C. 3√5 cm | |
| 12. |
If PQRS be a rectangle such PQ =3QR. Then, what is ∠PRS equal to? |
| A. | 60° |
| B. | 45° |
| C. | 30° |
| D. | 15° |
| Answer» D. 15° | |
| 13. |
Two light rods AB = a + b, CD = a – b symmetrically lying on a horizontal AB. There are kept intact by two strings AC and BD. The perpendicular distance between rods in a. The length of AC is given by |
| A. | a |
| B. | b |
| C. | √(a2 + b2) |
| D. | √(a2 – b2) |
| Answer» E. | |
| 14. |
If each interior angle of a regular polygon is 150°, the number of sides of the polygon is |
| A. | 8 |
| B. | 10 |
| C. | 15 |
| D. | None of these |
| Answer» E. | |
| 15. |
There are two regular polygons with number of sides equal to (n – 1) and (n + 2). Their exterior angles differ by 6°. The value of n is |
| A. | 14 |
| B. | 12 |
| C. | 13 |
| D. | 11 |
| Answer» D. 11 | |