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This section includes 16 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In figure points A, B, C and D are co cyclic and \[ED||AC\], then \[DA\bot AB,\]is equal to: |
| A. | \[CB\bot AB\] |
| B. | \[OM\bot AB\] |
| C. | \[\angle A\] |
| D. | \[\angle D\] |
| Answer» C. \[\angle A\] | |
| 2. |
Find the measurement of the length PD: |
| A. | 2.5 |
| B. | 1.5 |
| C. | 2A |
| D. | 1.75 |
| Answer» D. 1.75 | |
| 3. |
Two base angles of a triangle ABC are bisected and meet at P. What is the measure of angle BPC if\[{{50}^{o}}\] and\[{{120}^{o}}\]. |
| A. | \[\angle A={{80}^{o}}\] |
| B. | \[\angle C={{35}^{o}}\] |
| C. | \[\angle EDB=\] |
| D. | \[{{120}^{o}}\] |
| Answer» E. | |
| 4. |
In the given figure, ABCD is a cyclic quadrilateral in which\[{{30}^{o}}\]. Find\[{{40}^{o}}\]. |
| A. | \[{{50}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[\angle BAD={{120}^{o}}\] |
| D. | \[\angle BCD\] |
| Answer» C. \[\angle BAD={{120}^{o}}\] | |
| 5. |
In the given figure, O is the centre of a circle. If \[\Delta ABC\] and \[\angle BAC\] then \[\angle ECD={{30}^{o}}\] =_____ |
| A. | \[\angle BAC\] |
| B. | \[x={{68}^{o}}\] |
| C. | \[\Delta ABC\] |
| D. | \[\Delta ABC\] |
| Answer» D. \[\Delta ABC\] | |
| 6. |
The perimeter of a parallelogram is 180 cm. One side exceeds the another by 10 cm. The adjacent sides of the parallelogram are........ |
| A. | 30cm, 40cm |
| B. | 40cm, 50cm |
| C. | 50 cm, 60 cm |
| D. | None of these |
| Answer» C. 50 cm, 60 cm | |
| 7. |
Consider the following statements. (i) A quadrilateral in which one pair of opposite sides are parallel is called trapegium. (ii) A quadrilateral with both pair of opposite sides parallel is called a parallelogram. (iii) A parallelogram with a pair of adjacent sides equal is called a rhombus. (iv) A parallelogram with each angle as right angle is called a rectangle. Which of the following statements is/are correct? |
| A. | Only (i) |
| B. | (i) and (ii) |
| C. | Only (iv) |
| D. | All of the above |
| Answer» E. | |
| 8. |
A quadrilateral is a rhombus but not a square if |
| A. | Its diagonals do not bisect each other |
| B. | Its diagonals are not perpendicular |
| C. | Opposite angles are not equal |
| D. | The length of diagonals are not equal |
| Answer» E. | |
| 9. |
In a Rhombus ABCD, if AB = AC, then \[{{30}^{o}}\] |
| A. | \[{{40}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{30}^{o}}\] |
| Answer» C. \[{{90}^{o}}\] | |
| 10. |
ABC is a triangle whose sides BC and CA are produced to D and E respectively. If \[{{100}^{o}},{{80}^{o}}\]\[{{144}^{o}},{{36}^{o}}\], then the value of \[\angle P=\angle R={{100}^{o}}\] is |
| A. | \[\angle S={{75}^{o}}\] |
| B. | \[\angle Q\] |
| C. | \[{{50}^{o}}\] |
| D. | \[{{85}^{o}}\] |
| Answer» D. \[{{85}^{o}}\] | |
| 11. |
In a parallelogram PQRS, the bisectors of \[\angle P\]and \[\angle Q\] meet at M. Find\[\angle PMQ\]. |
| A. | \[45{}^\circ \] |
| B. | \[90{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[60{}^\circ \] |
| E. | None of these |
| Answer» C. \[30{}^\circ \] | |
| 12. |
The measure of angles of a heptagon are\[m{}^\circ ,\text{ }2m\]\[-\text{ }12{}^\circ ,\text{ }3m\text{ }-\text{ }18{}^\circ ,\text{ }3m\text{ }-\text{ }4{}^\circ ,\text{ }2m\text{ }-\text{ }10{}^\circ ,\text{ }6\text{ }\left( m-2 \right){}^\circ ,\]\[\left( m\text{ }+\text{ }2 \right){}^\circ \]. Find the value of m. |
| A. | \[33{}^\circ \] |
| B. | \[53{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[48{}^\circ \] |
| E. | None of these |
| Answer» C. \[45{}^\circ \] | |
| 13. |
Which one among the following is incorrect pair of figures and lines of symmetry? |
| A. | Kite-2 |
| B. | An isosceles triangle |
| C. | Semicircle-1 |
| D. | Rhombus-2 |
| E. | None of these |
| Answer» B. An isosceles triangle | |
| 14. |
Which one of the following has all the properties of a parallelogram and kite? |
| A. | Rectangle |
| B. | Trapezium |
| C. | rhombus |
| D. | square |
| E. | None of these |
| Answer» D. square | |
| 15. |
Which of the following can never be the measure of exterior angles of a regular polygon? |
| A. | \[20{}^\circ \] |
| B. | \[27{}^\circ \] |
| C. | \[36{}^\circ \] |
| D. | \[72{}^\circ \] |
| E. | None of these |
| Answer» C. \[36{}^\circ \] | |
| 16. |
The four adjacent angles of a quadrilateral are in the ratio\[2:1:4:5\]. The quadrilateral is a _____ |
| A. | parallelogram |
| B. | kite |
| C. | trapezium |
| D. | rectangle |
| E. | None of these |
| Answer» D. rectangle | |