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.
| 551. |
A, B and C are three points on the circle. If AB = AC = 7√2 cm and ∠BAC = 90°, then the radius is equal to: |
| A. | 6 cm |
| B. | 7√2 cm |
| C. | 14 cm |
| D. | 7 cm |
| Answer» E. | |
| 552. |
ABCD is a square. X is the mid-point of AB and Y is the mid-point of BC.Consider the following statements:1. Triangles ADX and BAY are congruent.2. ∠DXA = ∠AYB3. DX is inclined at an angle 60° with AY.4. DX is not perpendicular to AY.Which of the following statements are correct? |
| A. | 2, 3 and 4 only |
| B. | 1, 2 and 4 only |
| C. | 1, 3 and 4 only |
| D. | 1 and 2 only |
| Answer» E. | |
| 553. |
In the given figure, MN = RM = RP, then what is the value (in degrees) of ∠MPR? |
| A. | 47 |
| B. | 68 |
| C. | 72 |
| D. | Cannot be determined |
| Answer» C. 72 | |
| 554. |
If two tangents inclined at 60° are drawn to a circle of radius 3 cm, then what is the length of each tangent? |
| A. | 3√3 cm |
| B. | √3 cm |
| C. | 6 cm |
| D. | 2√2 cm |
| Answer» B. √3 cm | |
| 555. |
PQRS is a rectangle. A, B, C and D are the mid-points of sides PQ, QR, RS and PS respectively. If the area of ΔPQR is 48 cm2, then what is the area (in cm2) of ΔBCD? |
| A. | 24 |
| B. | 6 |
| C. | 16 |
| D. | 12 |
| Answer» B. 6 | |
| 556. |
In a triangle ABC, AD is perpendicular on BC. If ∠BAC = 90°, AB = c, BC = a, CA = b and AD = p, then which one of the following is correct? |
| A. | p = abc |
| B. | p2 = bc |
| C. | p = bc/a |
| D. | p = ab/c |
| Answer» D. p = ab/c | |
| 557. |
PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD? |
| A. | 18 |
| B. | 9 |
| C. | 20 |
| D. | 12 |
| Answer» D. 12 | |
| 558. |
In ΔDEF, ∠EFD = 90°, DF = 7 cm and EF = 24. What is the radius (in cm) of the circum-circle of ΔDEF? |
| A. | 26 |
| B. | 12.5 |
| C. | 13 |
| D. | 25 |
| Answer» C. 13 | |
| 559. |
In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V.Which one of the following statements is correct? |
| A. | Z, Y and W are parallel. |
| B. | X, V and Y are parallel. |
| C. | Z, V and U are all perpendicular to W. |
| D. | Y, V and W are parallel. |
| Answer» E. | |
| 560. |
A square overlaps a circle at the center. By observing the line drawn diagonally, what is the angle of one of the two equal sectors that fall outside the square? |
| A. | 270° |
| B. | 150° |
| C. | 135° |
| D. | 140° |
| Answer» D. 140° | |
| 561. |
In the given figure, O is the centre of the circle. If ∠BAO = 30° and ∠BCO = 50°, then ∠AOC is equal to: |
| A. | 60° |
| B. | 80° |
| C. | 40° |
| D. | 160° |
| Answer» E. | |
| 562. |
If the sum of the measures of all the interior angles of a polygon is 1440°, find the number of sides of the polygon. |
| A. | 8 |
| B. | 12 |
| C. | 10 |
| D. | 14 |
| Answer» D. 14 | |
| 563. |
In the given figure, AB = BD = AD, BC = CD and ∠ABC = 100°. How much is ∠BCD ? |
| A. | 80° |
| B. | 60° |
| C. | 100° |
| D. | 140° |
| Answer» D. 140° | |
| 564. |
∆LMN is right angled at M. If m∠N = 30°, then tan L × sec L = ? |
| A. | 1 / (2√3) |
| B. | 2 / √3 |
| C. | √3 / 2 |
| D. | 2√3 |
| Answer» E. | |
| 565. |
P is a point outside a circle with centre O, and it is 14 cm away from the centre. A secant PAB drawn from P intersects the circle at the points A and B such that PA = 10 cm and PB = 16 cm. The diameter of circle, is: |
| A. | 13 cm |
| B. | 10 cm |
| C. | 12 cm |
| D. | 11 cm |
| Answer» D. 11 cm | |
| 566. |
A square is inscribed in a right angled triangle with legs p and q and has a common right angle with triangle. The diagonal of the square is given by |
| A. | pq/(p + 2q) |
| B. | pq/(2p + q) |
| C. | √2 pq/(p + q) |
| D. | 2pq/(p + q) |
| Answer» D. 2pq/(p + q) | |
| 567. |
In ΔABC, D and E are points on AB and AC respectively such that DE is parallel to BC. If AD = 1 cm, DB = 3 cm, then ar(ΔADE) : ar(ΔABC) is: |
| A. | 1 : 16 |
| B. | 1 : 3 |
| C. | 1 : 9 |
| D. | 1 : 4 |
| Answer» B. 1 : 3 | |
| 568. |
Line segments are perpendicular if the angle between the two segments is: |
| A. | 60° |
| B. | 30° |
| C. | 180° |
| D. | 90° |
| Answer» E. | |
| 569. |
In a circle with centre O, PQR is a tangent at the point Q on it. AB is a chord in the circle parallel to the tangent such that ∠BQR = 70°. What is the measure of ∠AQB? |
| A. | 35° |
| B. | 60° |
| C. | 55° |
| D. | 40° |
| Answer» E. | |
| 570. |
If two concentric circles are of radii 13 cm and 12 cm, respectively, then the length of the chord of the larger circle which touches the smaller circle is: |
| A. | 25 cm |
| B. | 15 cm |
| C. | 10 cm |
| D. | 35 cm |
| Answer» D. 35 cm | |
| 571. |
∆ABC, D is a point on BC such that AD is the bisector of ∠A, AB = 11.7 cm, AC = 7.8 cm and BC = 13 cm. what is the length (in cm) of DC? |
| A. | 7.8 |
| B. | 5.6 |
| C. | 6.5 |
| D. | 5.2 |
| Answer» E. | |
| 572. |
In quadrilateral ABCD, ∠C = 72° and ∠D = 28°. The bisectors of ∠A and ∠B meet in O. What is the measure of ∠AOB? |
| A. | 50° |
| B. | 36° |
| C. | 48° |
| D. | 54° |
| Answer» B. 36° | |
| 573. |
In the given figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x – 1, CD = x + 6 and DA = x + 4, then what is the value of x? |
| A. | 3 |
| B. | 4.5 |
| C. | 6 |
| D. | 6.5 |
| Answer» D. 6.5 | |
| 574. |
If one side of a right-angled triangle (with all sides integers) is 15 cm, then what is the maximum perimeter of the triangle? |
| A. | 240 cm |
| B. | 225 cm |
| C. | 113 cm |
| D. | 112 cm |
| Answer» B. 225 cm | |
| 575. |
If ∠A = 50°, then ∠B = _______. |
| A. | 50° |
| B. | 100° |
| C. | 75° |
| D. | 60° |
| Answer» B. 100° | |
| 576. |
In a parallelogram ABCD if ∠A = (4/5) ∠B, then ∠C = ? |
| A. | 95° |
| B. | 100° |
| C. | 75° |
| D. | 80° |
| Answer» E. | |
| 577. |
ABCD is a rectangle. P is a point on the side AB as shown in the figure. If DP = 13, CP = 10 and BP = 6, then what is the value of AP? |
| A. | √105 |
| B. | √133 |
| C. | 12 |
| D. | 10 |
| Answer» B. √133 | |
| 578. |
If the two adjacent angles of a parallelogram are equal, then the value of each angle is |
| A. | 80° |
| B. | 70° |
| C. | 60° |
| D. | None of the above |
| Answer» E. | |
| 579. |
Choose the CORRECT option for the figure shown below. |
| A. | AD = AF |
| B. | BD = BE |
| C. | CE = FC |
| D. | All option are correct. |
| Answer» E. | |
| 580. |
Point P is the midpoint of segment AB. Co - ordinates of P are (5, -1) and A are (2, -4) . What are the co - ordinates of point B? |
| A. | (6, 4) |
| B. | (8, 2) |
| C. | (1, -2) |
| D. | (-6, -2) |
| Answer» C. (1, -2) | |
| 581. |
In ΔPQR, PS is the internal bisector of ∠P meeting QR at S, PQ = 16 cm, PR = 22.4 cm, QR = 9.6 cm. The length of SR (in cm) is: |
| A. | 6 |
| B. | 5.6 |
| C. | 4 |
| D. | 4.4 |
| Answer» C. 4 | |
| 582. |
PA and PB are two tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. If ∠APB= 100°, then ∠OAB is equal to: |
| A. | 25° |
| B. | 20° |
| C. | 35° |
| D. | 50° |
| Answer» E. | |
| 583. |
In the given figure ST || RP, then what is the value (in degree) of supplementary angle of y? |
| A. | 10 |
| B. | 60 |
| C. | 100 |
| D. | 170 |
| Answer» D. 170 | |
| 584. |
Point A (8, 2) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (-1, 6) and C are (x, y). What is the value of y? |
| A. | -4 |
| B. | 8 |
| C. | -8 |
| D. | 4 |
| Answer» B. 8 | |
| 585. |
In the figure given below, AD = CD = BC. What is the value of ∠CDB? |
| A. | 32° |
| B. | 64° |
| C. | 78° |
| D. | Cannot be determined due to insufficient data |
| Answer» C. 78° | |
| 586. |
If two complimentary angles are in the ratio of 11 : 7, find the smaller angle.A. 35° B. 55° C. 65° D. 25° E. 45° |
| A. | C |
| B. | D |
| C. | A |
| D. | B |
| E. | E |
| Answer» D. B | |
| 587. |
If the side of a square is 2 times, then its area will be : |
| A. | 2 times |
| B. | 4 times |
| C. | 8 times |
| D. | 16 times |
| Answer» C. 8 times | |
| 588. |
If the points |
| A. | 𝑎∈ (2,6) |
| B. | 𝑎 ∈ (4,6) |
| C. | 𝑎 ∈ (2, 4) |
| D. | 𝑎 ∈ (10, 12) |
| Answer» D. 𝑎 ∈ (10, 12) | |
| 589. |
A chord of a circle of radius 28 cm subtends an angle 90° at the centre of the circle. The area of the minor segment is: |
| A. | 224 cm2 |
| B. | 248 cm2 |
| C. | 184 cm2 |
| D. | 290 cm2 |
| Answer» B. 248 cm2 | |
| 590. |
A straight angle is equal to?A. 90°B. 180°C. 270°D. 360° |
| A. | B |
| B. | C |
| C. | D |
| D. | A |
| Answer» B. C | |
| 591. |
PQRS is a cyclic quadrilateral. If ∠P is 4 times ∠R, and ∠S is 3 times ∠Q, then the average of ∠Q and ∠R is: |
| A. | 45.7° |
| B. | 81° |
| C. | 90° |
| D. | 40.5° |
| Answer» E. | |
| 592. |
If the measure of each exterior angle of a regular polygon is \(\left( {51\frac{3}{7}} \right)^\circ ,\) then the ratio of the number of its diagonals to the number of its sides is: |
| A. | 13 : 6 |
| B. | 3 : 1 |
| C. | 5 : 2 |
| D. | 2 : 1 |
| Answer» E. | |
| 593. |
A circle touches all the four sides of a quadrilateral ABCD. If AB = 9 cm, BC = 8 cm and CD = 12 cm, then what is DA equal to? |
| A. | 14 cm |
| B. | 13 cm |
| C. | 12 cm |
| D. | 11 cm |
| Answer» C. 12 cm | |
| 594. |
In the given figure, ∠BAC = 70°, ∠ACB = 45° and ∠DEA = 140°. What is the value of ∠BDE? |
| A. | 10° |
| B. | 15° |
| C. | 20° |
| D. | 25° |
| Answer» E. | |
| 595. |
In the given figure, O is the centre of a circle of radius 13 cm and AB is chord perpendicular to OD. If CD = 8 cm, then what is the length (in cm) of AB? |
| A. | 6 cm |
| B. | 12 cm |
| C. | 24 cm |
| D. | 28 cm |
| Answer» D. 28 cm | |
| 596. |
In the figure given below, what is ∠BCD equal to? |
| A. | 70° |
| B. | 75° |
| C. | 80° |
| D. | 90° |
| Answer» D. 90° | |
| 597. |
Due to Sun, a 6 ft man casts a shadow of 4 ft, whereas a pole next to the man casts a shadow of 36 ft. What is the height of the pole? |
| A. | 63 ft |
| B. | 72 ft |
| C. | 54 ft |
| D. | 58 ft |
| Answer» D. 58 ft | |
| 598. |
Let ΔABC ∼ Δ PQR and ar(∆ABC)/ar(∆PQR) =4/25. If AB = 12 cm, BC = 8 cm and AC = 9 cm, then QR is equal to: |
| A. | 20 |
| B. | 15 |
| C. | 17.5 |
| D. | 18 |
| Answer» B. 15 | |
| 599. |
In ΔXYZ, if G is the centroid and XL is the median with length 18 cm, then the length XG is: |
| A. | 12 cm |
| B. | 10 cm |
| C. | 14 cm |
| D. | 16 cm |
| Answer» B. 10 cm | |
| 600. |
In a triangle PQR, if side PQ = PR, then: |
| A. | ∠ PQR = ∠ PRQ |
| B. | ∠ PQR = ∠ QPR |
| C. | ∠ QPR = ∠ PRQ |
| D. | None of these |
| Answer» B. ∠ PQR = ∠ QPR | |