MCQOPTIONS
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MCQOPTIONS
This section includes 1274 Mcqs, each offering curated multiple-choice questions to sharpen your SRMJEEE knowledge and support exam preparation. Choose a topic below to get started.
| 701. |
In the given figure, ∠ADB = ? |
| A. | 144° |
| B. | 132° |
| C. | 96° |
| D. | 48° |
| Answer» C. 96° | |
| 702. |
In the figure given below, PQRS is a parallelogram. PA bisects angle P and SA bisects angles S. What is angle PAS equal to? |
| A. | 60° |
| B. | 75° |
| C. | 90° |
| D. | 100° |
| Answer» D. 100° | |
| 703. |
If two equal circles whose centres are O and O’ intersect each other at the point A and B, OO’ = 12 cm and AB = 16 cm, then radius of the circle is∶ |
| A. | 15 cm |
| B. | 10 cm |
| C. | 14 cm |
| D. | 12 cm |
| Answer» C. 14 cm | |
| 704. |
In the given figure, AP bisects ∠BAC. If AB = 4 cm, AC = 6 cm and BP = 3 cm, then the length of CP is: |
| A. | 4.5 cm |
| B. | 3 cm |
| C. | 5 cm |
| D. | 7 cm |
| Answer» B. 3 cm | |
| 705. |
Given that, ΔABC~ΔQPR and \(\frac{ar\left(ABC \right)}{ar\left( QPR \right)}=\frac{9}{16}.\) If AB = 12 cm, BC = 6 cm and AC = 9 cm, then PR is equal to: |
| A. | 8 cm |
| B. | 9 cm |
| C. | 12 cm |
| D. | 16 cm |
| Answer» B. 9 cm | |
| 706. |
If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees? |
| A. | 60° |
| B. | 36° |
| C. | 90° |
| D. | 100° |
| Answer» C. 90° | |
| 707. |
ΔDEF and ΔABC are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF? |
| A. | 5 : 3 |
| B. | 3 : 5 |
| C. | 25 : 9 |
| D. | 9 : 25 |
| Answer» B. 3 : 5 | |
| 708. |
Name the point that lies in the first quadrant of a graph? |
| A. | (4, 4) |
| B. | (4, -4) |
| C. | (-4, -4) |
| D. | (-4, 4) |
| Answer» B. (4, -4) | |
| 709. |
Find out the odd statement in relation to a triangle.A. The longest side is opposite to the greatest angle.B. The exterior angle of a triangle = the sum of interior opposite angles.C. The sum of 2 sides is greater than the 3rd side.D. The square of one side = the sum of the squares of the other two sides |
| A. | C |
| B. | B |
| C. | D |
| D. | A |
| Answer» D. A | |
| 710. |
From a point P, a tangent is drawn to a circle meeting it at A. a chord AB subtends an angle 40° at a point on the circumference on the other side of P. Angle PAB is equal to: |
| A. | 90° |
| B. | 20° |
| C. | 80° |
| D. | 40° |
| Answer» E. | |
| 711. |
∆ABC ~ ∆RQP and AB = 4 cm, BC = 6 cm and AC = 5 cm. If ar (∆ABC) : ar (∆PQR) = 9 : 4, Then PQ is equal to: |
| A. | 10/3 cm |
| B. | 8/3 cm |
| C. | 4 cm |
| D. | 20/9 cm |
| Answer» D. 20/9 cm | |
| 712. |
In a triangle, if AB = AC and ∠B is double of ∠A, then the value of ∠C is: |
| A. | 36° |
| B. | 72° |
| C. | 60° |
| D. | 48° |
| Answer» C. 60° | |
| 713. |
In a polygon, each external angle is 120°, so the number of sides is A. 6B. 4C. 3D. 5 |
| A. | A |
| B. | C |
| C. | B |
| D. | d |
| Answer» C. B | |
| 714. |
In Δ ABC, BD \( \bot \) AC at D. E is a point on BC such that ∠BEA = xº. If ∠EAC = 36º and ∠EBD = 40º, then the value of x is: |
| A. | 68º |
| B. | 86º |
| C. | 72º |
| D. | 78º |
| Answer» C. 72º | |
| 715. |
If \(\triangle ABC\) and \(\triangle DEF\) are similar triangles in which ∠A = 47° and ∠ E = 83° then ∠C is |
| A. | 50° |
| B. | 70° |
| C. | 60° |
| D. | 80° |
| Answer» B. 70° | |
| 716. |
In a triangle ABC, ∠A = 70°, ∠B = 80° and O is the incentre of ΔABC. ∠ACB = 2x° and ∠BOC = y°. The values of x and y, respectively are |
| A. | 15, 130 |
| B. | 15, 125 |
| C. | 35, 40 |
| D. | 30, 150 |
| Answer» C. 35, 40 | |
| 717. |
Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The quadrilateral has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Which one of the following is correct in respect of the above statements? |
| A. | Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1 |
| B. | Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1 |
| C. | Statement 1 is true but Statement 2 is false |
| D. | Statement 1 is false but Statement 2 is true |
| Answer» D. Statement 1 is false but Statement 2 is true | |
| 718. |
In ΔPQR, the side QR is extended to S such that RS = PR. If ∠QPS = 110° and ∠PRQ = 70°, then the value of ∠PQR is: |
| A. | 45° |
| B. | 40° |
| C. | 50° |
| D. | 35° |
| Answer» E. | |
| 719. |
In the given figure, the measure of ∠A is: |
| A. | 60° |
| B. | 20° |
| C. | 40° |
| D. | 50° |
| Answer» D. 50° | |
| 720. |
In ΔABC, the bisectors of ∠B and ∠C meet at O, inside the triangle. If ∠BOC = 106°, then the measure of ∠A is: |
| A. | 106° |
| B. | 84° |
| C. | 32° |
| D. | 16° |
| Answer» D. 16° | |
| 721. |
In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicular at P. If AP > BP, then AP is equal to |
| A. | (2 + √5) units |
| B. | (2 + √3) units |
| C. | (2 + √2) units |
| D. | 3 units |
| Answer» C. (2 + √2) units | |
| 722. |
In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer.The minimum area of the triangle PQR possible, in cm2, is |
| A. | 48√3 |
| B. | 18 |
| C. | 24 |
| D. | 144√3 |
| Answer» E. | |
| 723. |
In the given figure, if AB = 8 cm, AC = 10 cm, ∠ABD = 90° and AD = 17 cm, then the measure of CD is: |
| A. | 10 cm |
| B. | 8 cm |
| C. | 9 cm |
| D. | 11 cm |
| Answer» D. 11 cm | |
| 724. |
A chord at a distance of 1 unit from the centre, has a length equal to k2 sin(\(\left(\dfrac{π}{4}\right)\)) and the radius of the circle is (-k) sin(\(\left(\dfrac{π}{3}\right)\)). What is the value of k, if k is an integer? |
| A. | -2 |
| B. | 4 |
| C. | 3 |
| D. | 2 |
| Answer» B. 4 | |
| 725. |
Consider the figure shown below and choose the CORRECT option for the length of MN. |
| A. | \(\sqrt {{d^2} - {{\left( {{r_1} - {r_2}} \right)}^2}}\) |
| B. | \(\sqrt {{d^2} + {{\left( {{r_1} - {r_2}} \right)}^2}}\) |
| C. | \({{d^2} - {{\left( {{r_1} - {r_2}} \right)}^2}}\) |
| D. | \({{d^2} + {{\left( {{r_1} - {r_2}} \right)}^2}}\) |
| Answer» B. \(\sqrt {{d^2} + {{\left( {{r_1} - {r_2}} \right)}^2}}\) | |
| 726. |
A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle ΔABC is: |
| A. | 45 |
| B. | 15 |
| C. | 28 |
| D. | 30 |
| Answer» E. | |
| 727. |
In an isosceles triangle PQR, ∠P = 130°. If I is the in - centre of the triangle, then what is the value (in degrees) of ∠QIR? |
| A. | 130 |
| B. | 120 |
| C. | 155 |
| D. | 165 |
| Answer» D. 165 | |
| 728. |
In ΔPQR, I is the in-centre of the triangle. If ∠QIR = 107°, then what is the measure of ∠P? |
| A. | 73° |
| B. | 43° |
| C. | 34° |
| D. | 37° |
| Answer» D. 37° | |
| 729. |
In ΔABC, ∠A = 40°. If the bisectors of the ∠B and ∠C, meet at a point O, then ∠BOC is equal to∶ |
| A. | 130° |
| B. | 90° |
| C. | 70° |
| D. | 110° |
| Answer» E. | |
| 730. |
In ΔABC, AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and AD = 8 cm, then the length of CD is∶ |
| A. | 16 cm |
| B. | 16.2 cm |
| C. | 14.8 cm |
| D. | 14 cm |
| Answer» B. 16.2 cm | |
| 731. |
In the two triangles ABC and DEF the sides AB-DE and BC-EF are equal. Which of the following option is correct which results in the ΔABC ≅ ΔDEF? |
| A. | ∠ACB = ∠EDF |
| B. | ∠BAC = ∠DEF |
| C. | ∠ACB = ∠DEF |
| D. | ∠ABC = ∠DEF |
| Answer» E. | |
| 732. |
In ΔABC, the sides AB and AC are produced to P and Q, respectively. The bisectors of ∠PBC and ∠QCB intersect at a point O. If ∠A = 56°, then ∠BOC equals: |
| A. | 28° |
| B. | 42° |
| C. | 56° |
| D. | 62° |
| Answer» E. | |
| 733. |
In the figure given below, D is the diameter of each circle. What is the diameter of the shaded circle? |
| A. | D(√2 – 1) |
| B. | D(√2 + 1) |
| C. | D(√2 + 2) |
| D. | D(2 – √2) |
| Answer» B. D(√2 + 1) | |
| 734. |
In ΔABC, ∠C = 90°. M and N are the mid-points of sides AB and AC, respectively. CM and BN intersect each other at D and ∠BDC = 90°. If BC = 8 cm, then the length of BN is; |
| A. | 6√3 cm |
| B. | 6√6 cm |
| C. | 4√6 cm |
| D. | 8√3 cm |
| Answer» D. 8√3 cm | |
| 735. |
If in ΔPQR. ∠P = 120°, PS ⊥ QR at S and PQ + QS = SR, then the measure of ∠Q is: |
| A. | 30° |
| B. | 40° |
| C. | 20° |
| D. | 50° |
| Answer» C. 20° | |
| 736. |
ΔABC ∼ ΔEDF and AB = 5 cm, BC = 8 cm and AC = 10 cm. If Ar (ΔABC) ∶ Ar(ΔDEF) = 9 ∶ 4. then DF is equal to∶ |
| A. | 16/3 cm |
| B. | 32/9 cm |
| C. | 10/3 cm |
| D. | 20/3 cm |
| Answer» B. 32/9 cm | |
| 737. |
If the adjacent angles of a parallelogram are in the ratio 1 : 3, then the smaller angle is: |
| A. | 45° |
| B. | 40° |
| C. | 35° |
| D. | 75° |
| Answer» B. 40° | |
| 738. |
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 148°. What is the measure of the ∠BAC? |
| A. | 45° |
| B. | 60° |
| C. | 58° |
| D. | 32° |
| Answer» D. 32° | |
| 739. |
ABC is a triangle right angled at B. If AB = 5 cm and BC = 10 cm, then what is the length of the perpendicular drawn from the vertex B to the hypotenuse? |
| A. | 4 cm |
| B. | 2√5 cm |
| C. | 4/√5 cm |
| D. | 8 cm |
| Answer» C. 4/√5 cm | |
| 740. |
In the figure, angles at A, B and C are 90° Also BD = BE. If \(\angle \)BEA = 25°, then \(\angle \)CDE is equal to ______. |
| A. | 90° |
| B. | 100° |
| C. | 110° |
| D. | 120° |
| Answer» D. 120° | |
| 741. |
A clock was stared at 12.00 noon. When the time is 4.30 p.m. the hour hand has tuned through the degrees |
| A. | 110° |
| B. | 120° |
| C. | 135° |
| D. | 95° |
| Answer» D. 95° | |
| 742. |
A quadrilateral ABCD is inscribed in a circle with centre O. If ∠BOC = 92° and ∠ADC = 112°, then ∠ABO is equal to: |
| A. | 22° |
| B. | 28° |
| C. | 26° |
| D. | 24° |
| Answer» E. | |
| 743. |
A triangle is circumscribed on the circle of centre O in such a way that sides AB = 12 cm, BQ = 7 cm and CQ = 5cm. Calculate the length (in cm) of side AC. |
| A. | 8 |
| B. | 10 |
| C. | 12 |
| D. | 14 |
| Answer» C. 12 | |
| 744. |
PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that ∠APB = 128°, then ∠OAB is equal to: |
| A. | 38° |
| B. | 64° |
| C. | 72° |
| D. | 52° |
| Answer» C. 72° | |
| 745. |
In a triangle ABC if A – B = π/2, then C + 2B is equal to |
| A. | 2π/3 |
| B. | 3π/4 |
| C. | π |
| D. | π/2 |
| Answer» E. | |
| 746. |
In the given figure, a smaller circle touches a larger circle at P and passes through its centre O. PR is a chord of length 34 cm, then what is the length (in cm) of PS? |
| A. | 9 |
| B. | 17 |
| C. | 21 |
| D. | 25 |
| Answer» C. 21 | |
| 747. |
If ‘O’ is the circumcentre of ΔABC and OD is perpendicular to BC, then find ∠BOD. |
| A. | 3∠A |
| B. | 2∠A |
| C. | ∠A |
| D. | (1/2) ∠A |
| Answer» D. (1/2) ∠A | |
| 748. |
In the given figure, PQ is a diameter of the semicircle PABQ and O is the centre. ∠AOB = 64°. BP cuts AQ at X. What is the value (in degrees) of ∠AXP? |
| A. | 36 |
| B. | 32 |
| C. | 58 |
| D. | 54 |
| Answer» D. 54 | |
| 749. |
For which value of k, the system of linear equations 2x + 3y = 2k and 5x + ky = -2 has a unique solution? |
| A. | \(k \ne \frac {15} {2}\) |
| B. | k ≠ 4 |
| C. | k ≠ 8 |
| D. | \(k \ne \frac {13} {2}\) |
| Answer» B. k ≠ 4 | |
| 750. |
ABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and PQ II BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is: |
| A. | 28 cm |
| B. | 48 cm |
| C. | 84 cm |
| D. | 42 cm |
| Answer» C. 84 cm | |