MCQOPTIONS
Saved Bookmarks
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.
| 651. |
Angles are shown in the given figure. What is value of ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 + ∠7 + ∠8? |
| A. | 240° |
| B. | 360° |
| C. | 540° |
| D. | 720° |
| Answer» C. 540° | |
| 652. |
In a circle of radius 10 cm and centre O, PQ and PR are two equal chords, each of length 12 cm. What is the length of chord QR? |
| A. | 18.6 |
| B. | 18.4 |
| C. | 19.2 |
| D. | 20.4 |
| Answer» D. 20.4 | |
| 653. |
In the given figure, '0' is the center of the circle and if ∠ADC = 100° , then ∠CAB = ______. |
| A. | 30° |
| B. | 10° |
| C. | 20° |
| D. | 55° |
| Answer» C. 20° | |
| 654. |
If the sum of the interior angles of a regular polygon is 720° then how many sides does it have? |
| A. | 8 |
| B. | 9 |
| C. | 6 |
| D. | 10 |
| Answer» D. 10 | |
| 655. |
A portion inside a rectangle of length 5 m and breadth 2 m is shaded in the form of a square of side 2 m. What is the ratio of the area of the shaded square to the unshaded portion of the rectangle? |
| A. | 3 : 2 |
| B. | 2 : 3 |
| C. | 5 : 2 |
| D. | 2 : 5 |
| Answer» C. 5 : 2 | |
| 656. |
ABCD is a cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and ∠ADC = 150°. ∠BAC is equal to: |
| A. | 60° |
| B. | 50° |
| C. | 40° |
| D. | 38° |
| Answer» B. 50° | |
| 657. |
ABCD is a Square of side 2√2 cm and M, N are mid points of sides AB and AD respectively. Then the perimeter (in cm) of trapezium BDNM so formed, is |
| A. | 2(3 + √2) |
| B. | 2(2 + √2) |
| C. | 2(1 + √2) |
| D. | 2(1 + 3√2) |
| Answer» B. 2(2 + √2) | |
| 658. |
∆ABC, AB = AC. A circle drawn through B touches AC at D and intersects AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to: |
| A. | 12.5 cm |
| B. | 10 cm |
| C. | 9 cm |
| D. | 7.5 cm |
| Answer» C. 9 cm | |
| 659. |
In the figure given below, AB is the diameter of the circle whose centre is at O. Given that ∠ECD = ∠EDC = 32°, then ∠CEF and ∠COF respectively are |
| A. | 32°, 64° |
| B. | 64°, 64° |
| C. | 32°, 32° |
| D. | 64°, 32° |
| Answer» C. 32°, 32° | |
| 660. |
In a circle with center O, ACBO is a parallelogram where C is a point on the minor arc AB. What is the measure of ∠AOB? |
| A. | 110° |
| B. | 120° |
| C. | 150° |
| D. | 100° |
| Answer» C. 150° | |
| 661. |
A tangent is drawn from an external point O to a circle of radius 3 units at P such that OP = 4 units. If C is the centre of the circle, then the sine of the angle COP is |
| A. | 4/5 |
| B. | 3/4 |
| C. | 3/5 |
| D. | 1/2 |
| Answer» D. 1/2 | |
| 662. |
For triangle ABC, find equation of median AD if coordinates of points A, B and C are (2, -4), (3, 0) and (5, -2) respectively? |
| A. | 3x - 2y = 14 |
| B. | 3x - 2y = 2 |
| C. | 3x + 2y = 14 |
| D. | 3x + 2y = 2 |
| Answer» B. 3x - 2y = 2 | |
| 663. |
Consider the following statements and choose the correct option:1. It is possible to draw at least 3 straight lines from the given 2 points2. If the sides of one angle are parallel to the sides of the other respectively, then both the angles are neither equal nor complementary.A. Both 1 and 2 are not correct.B. Both 1 and 2 are correct.C. 1 is false and 2 is correct.D. 1 is correct and 2 is false. |
| A. | C |
| B. | B |
| C. | A |
| D. | D |
| Answer» D. D | |
| 664. |
In a ΔABC, DE is parallel to BC, AD = a, DB = a + 4, AE = 2a + 3, EC = 7a. what is the value of ‘a’ if a > 0? |
| A. | 4 |
| B. | 6 |
| C. | 5 |
| D. | 3 |
| Answer» E. | |
| 665. |
ABCD is a cycle quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 158°. Then ∠BAC is equal to: |
| A. | 40° |
| B. | 38° |
| C. | 50° |
| D. | 68° |
| Answer» E. | |
| 666. |
Consider the following statements and choose the correct option:1. Two straight lines can intersect each other at more than one point.2. The sides of one angle are respectively parallel to the sides of the other angle, so both angles are either equal or supplementary.A. Both 1 and 2 are incorrect.B. Both 1 and 2 are correct.C. 1 is incorrect and 2 is correct!D. 1 is correct and 2 is incorrect. |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» E. | |
| 667. |
Let the bisector of the ∠BAC of ΔABC meet BC in X. Which one of the following is correct? |
| A. | AB < BX |
| B. | AB > BX |
| C. | AX = CX |
| D. | None of the above |
| Answer» C. AX = CX | |
| 668. |
In a Δ ABC, D and E are the points on the sides AB and AC respectively, such that DE II BC, if AD = 4 cm, AE = 8 cm, DB = x - 4 cm and EC = 3x - 19 cm, then x = |
| A. | 11cm |
| B. | 13 cm |
| C. | 4 cm |
| D. | 8 cm |
| Answer» B. 13 cm | |
| 669. |
In a triangle ABC, P, and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 4.5 cm. If the area of ΔAPQ is 12 cm2, then find the area of BPQC. |
| A. | 190 cm2 |
| B. | 182 cm2 |
| C. | 180 cm2 |
| D. | 192 cm2 |
| Answer» D. 192 cm2 | |
| 670. |
For what value of C2, the system of equation 6x + 2y = 2 & 3x + y = C2 will be coincident? |
| A. | 4 |
| B. | 0 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |
| 671. |
O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB? |
| A. | 60 |
| B. | 80 |
| C. | 90 |
| D. | 100 |
| Answer» C. 90 | |
| 672. |
In the following figure, if angles ∠ABC = 95∘ ∠FED = 115∘ (not to scale). Then the angle ∠APC is equal to?: |
| A. | 120∘ |
| B. | 150∘ |
| C. | 155∘ |
| D. | 135∘ |
| Answer» C. 155∘ | |
| 673. |
In the given figure, in ΔSTU, ST = 8 cm, TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of ΔPQU and area of ΔPTR? |
| A. | 4 : 9 |
| B. | √3 ∶ √2 |
| C. | 2 ∶ 3 |
| D. | 3 ∶ 2 |
| Answer» B. √3 ∶ √2 | |
| 674. |
In ΔABC, P is a point on BC such that BP ∶ PC = 4 ∶ 5 and Q is the midpoint of BP, then ar(ΔABQ) ∶ ar(ΔABC) is equal to∶ |
| A. | 1 ∶ 9 |
| B. | 2 ∶ 5 |
| C. | 1 ∶ 3 |
| D. | 2 ∶ 9 |
| Answer» E. | |
| 675. |
Find the equation of a circle whose diameter has end points (4, 3) and (-2, 1). |
| A. | x2 + y2 - 2x + 4y = 15 |
| B. | x2 + y2 - 6x + 2y = 3 |
| C. | x2 + y2 - 2x - 4y = 5 |
| D. | x2 + y2 - 2x - 4y = 3 |
| Answer» D. x2 + y2 - 2x - 4y = 3 | |
| 676. |
If O is the circum-center in ∆PQR and ∠QOR = 40°, then what is the value (in degrees) of ∠QPR? |
| A. | 40 |
| B. | 60 |
| C. | 80 |
| D. | 20 |
| Answer» E. | |
| 677. |
Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12 cm, and BP = 10 cm, then the length of AB (in cm) is: |
| A. | 4.4 |
| B. | 6 |
| C. | 5 |
| D. | 5.4 |
| Answer» B. 6 | |
| 678. |
In a parallelogram ABCD, the bisectors of ∠A and ∠D meet at O. The measure of ∠AOD is: |
| A. | 120° |
| B. | 90° |
| C. | 45° |
| D. | 60° |
| Answer» C. 45° | |
| 679. |
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC? |
| A. | 90 |
| B. | 98 |
| C. | 94 |
| D. | 86 |
| Answer» B. 98 | |
| 680. |
In the figure, if ∠A = 100° then ∠C = ? |
| A. | 100° |
| B. | 80° |
| C. | 50° |
| D. | 90° |
| Answer» C. 50° | |
| 681. |
ΔABC and ΔADB are on the common base AB and on the same side of AB, DA⊥AB, CB⊥AB and AC = BD. Which of the following is true? |
| A. | ΔABC ≅ ΔABD |
| B. | ΔABC ≅ ΔADB |
| C. | ΔABC ≅ ΔBAD |
| D. | ΔABC ≅ ΔBDA |
| Answer» D. ΔABC ≅ ΔBDA | |
| 682. |
Find the radius of a circle in which a chord 24 cm long cuts off a segment 16 cm in height |
| A. | 13 cm |
| B. | 20cm |
| C. | 14 cm |
| D. | 12 cm |
| Answer» C. 14 cm | |
| 683. |
In a circle centred at O, AB is a chord and C is any point on AB, such that OC is perpendicular to AB. If the length of the chord is 16 cm and OC = 6 cm, the radius of circle is: |
| A. | 8 cm |
| B. | 12 cm |
| C. | 10 cm |
| D. | 6 cm |
| Answer» D. 6 cm | |
| 684. |
A circle is inscribed in ΔABC, touching AB at P, BC at Q and AC at R. If AR = 5 cm, RC = 6 cm and AB = 12 cm, then the perimeter of ΔABC is: |
| A. | 32 cm |
| B. | 37 cm |
| C. | 36 cm |
| D. | 40 cm |
| Answer» D. 40 cm | |
| 685. |
ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides? |
| A. | 1876 |
| B. | 90 |
| C. | 1785 |
| D. | 1786 |
| Answer» D. 1786 | |
| 686. |
Let ΔABC ~ ΔPQR and \(\frac{{ar\left( {{\rm{\Delta \;ABC}}} \right)}}{{ar\left( {{\rm{\Delta \;PQR}}} \right)}} = \frac{9}{{169}}\) . If AB = 12 cm, BC = 7 cm and AC = 8 cm, then PQ (in cm) is equal to: |
| A. | 52 |
| B. | 21 |
| C. | 26 |
| D. | 39 |
| Answer» B. 21 | |
| 687. |
D and E are points on side AB and AC of ∆ABC. DE is parallel to BC. If AD : DB = 1 : 2 and area of ∆ABC is 45 sq cm, what is the area (in sq. cm) of quadrilateral BDEC? |
| A. | 20 |
| B. | 40 |
| C. | 15 |
| D. | 30 |
| Answer» C. 15 | |
| 688. |
In ΔABC, ∠ABC = 90° and BD ⊥ AC. If AD = 4 cm add CD = 5 cm, then BD is equal to: |
| A. | 4√5 cm |
| B. | 3√2 cm |
| C. | 3√5 cm |
| D. | 2√5 cm |
| Answer» E. | |
| 689. |
In ΔABC, ∠A = 90°. If BL and CM are the medians, then: |
| A. | 3(BL2 + CM2) = 4BC2 |
| B. | 4(BL2 + CM2) = 3BC2 |
| C. | 5(BL2 + CM2) = 4BC2 |
| D. | 4(BL2 + CM2) = 5BC2 |
| Answer» E. | |
| 690. |
ABCD is a cyclic quadrilateral in which AB = 16.5 cm, BC = x cm, CD = 11 cm, AD = 19.8 cm, BD is bisected by AC at O. What is the value of x? |
| A. | 13.8 cm |
| B. | 12.4 cm |
| C. | 12.8 cm |
| D. | 13.2 cm |
| Answer» E. | |
| 691. |
In the given figure, PQRS is a quadrilateral. If QR = 18 cm and PS = 9 cm, then what is the area (in cm2) of quadrilateral PQRS? |
| A. | (64√3)/3 |
| B. | (177√3)/2 |
| C. | (135√3)/2 |
| D. | (98√3)/3 |
| Answer» D. (98√3)/3 | |
| 692. |
Find the measure of angle ABC (in degrees) in the parallelogram ABCD as shown in the given figure: |
| A. | 68 |
| B. | 112 |
| C. | 102 |
| D. | 78 |
| Answer» B. 112 | |
| 693. |
In ΔABC, AD is the bisector of ∠BAC, meeting BC at D. If AC = 21, BC = 12 cm and the length of BD is 2 cm less than DC, then the length of side AB is: |
| A. | 14 cm |
| B. | 18 cm |
| C. | 15 cm |
| D. | 10 cm |
| Answer» D. 10 cm | |
| 694. |
If ABCD is a cyclic quadrilateral in which ∠ABC = 47° and ∠BCD = 97° then ∠ADC - ∠BAD = |
| A. | 40° |
| B. | 50° |
| C. | 60° |
| D. | 70° |
| Answer» C. 60° | |
| 695. |
Consider the figure shown below and choose the CORRECT option for the ratio PA : PB. |
| A. | \({r_1}:{r_2}\) (internal) |
| B. | \({r_1}:{r_2}\) (external) |
| C. | \({r_2}:{r_1}\) (internal) |
| D. | \({r_2}:{r_1}\) (external) |
| Answer» B. \({r_1}:{r_2}\) (external) | |
| 696. |
For a pair of similar triangles shown in the figure, the angles made at B and R are same in both the triangles BAC and RAQ. If the ratio of the areas of the two triangles is 2 : 1, and if the area of BAC is 100 cm2 then what is the area of RAQ in sq.cm.? |
| A. | 50 |
| B. | 4 |
| C. | 5 |
| D. | 10 |
| Answer» B. 4 | |
| 697. |
If a, b and c are the sides of a triangle and if a2 + b2 = c2 then the triangle is _______. |
| A. | Equilateral |
| B. | acute-angled but not equilateral |
| C. | obtuse-angled |
| D. | Right - angled |
| Answer» E. | |
| 698. |
If the measure of the interior angle of a regular polygon is 100° greater than the measure of its exterior angle then how many sides does it have? |
| A. | 10 |
| B. | 12 |
| C. | 9 |
| D. | 15 |
| Answer» D. 15 | |
| 699. |
Calculate the ratio of the area of two similar triangles if the sides of the triangles are in the ratio of 9 ∶ 4. |
| A. | 9 ∶ 4 |
| B. | 3 ∶ 2 |
| C. | 81 ∶ 16 |
| D. | 27 ∶ 8 |
| Answer» D. 27 ∶ 8 | |
| 700. |
AB, EF and CD are the parallel lines as shown in the adjoining figure below. The dimension of the sides GE = 6 cm, GC = 12 cm and DC = 16 cm. Calculate the length of EF. |
| A. | 4 |
| B. | 8 |
| C. | 10 |
| D. | 12 |
| Answer» C. 10 | |