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.
| 351. |
Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have? |
| A. | 30 |
| B. | 40 |
| C. | 45 |
| D. | 36 |
| Answer» C. 45 | |
| 352. |
A circle has centred at O. The angle between two tangents to the circle from a point P outside the circle at a distance of 10 cm from O is 60°. The radius of the circle (in cm) is: |
| A. | 4 |
| B. | 5 |
| C. | 7 |
| D. | 6 |
| Answer» C. 7 | |
| 353. |
If the measure of the interior angle of a regular polygon is 90° greater than the measure of its exterior angle, then how many sides does it have? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 12 |
| Answer» B. 9 | |
| 354. |
In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD. |
| A. | 16 cm |
| B. | 20 cm |
| C. | 18 cm |
| D. | 22 cm |
| Answer» D. 22 cm | |
| 355. |
Find the value of K for which equation x – Ky = 2, 3x + 2y = 5 has unique solution. |
| A. | \(K \ne \frac {-2} 3\) |
| B. | \(K = \frac {2} 3\) |
| C. | \(K \ne \frac {2} 3\) |
| D. | \(K = \frac {-2} 3\) |
| Answer» B. \(K = \frac {2} 3\) | |
| 356. |
M is the circumcentre of ΔABC with circumradius 15 cm. Let BC = 24 cm and ML is perpendicular to BC. Then the length of ML is |
| A. | 9 cm |
| B. | 10 cm |
| C. | 12 cm |
| D. | 8 cm |
| Answer» B. 10 cm | |
| 357. |
ABC is an equilateral triangle and X, Y and Z are the points on BC, CA and AB respectively such that BX = CY = AZ. Which of the following is/are correct?1. XYZ is an equilateral triangle.2. Triangle XYZ is similar to triangle ABCSelect the correct answer using the code given below. |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» D. Neither 1 nor 2 | |
| 358. |
In the given triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of the area of triangles DBC and ABC. |
| A. | 1 ∶ 1 |
| B. | 2 ∶ 1 |
| C. | 1 ∶ 2 |
| D. | 1 ∶ 3 |
| Answer» D. 1 ∶ 3 | |
| 359. |
In ΔABC, O is the incentre and ∠BOC = 135°. The measure of ∠BAC is: |
| A. | 80° |
| B. | 45° |
| C. | 90° |
| D. | 55° |
| Answer» D. 55° | |
| 360. |
A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 110° and 130°, respectively. The value of ∠BAC is: |
| A. | 75° |
| B. | 70° |
| C. | 60° |
| D. | 65° |
| Answer» D. 65° | |
| 361. |
A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true? |
| A. | 5 ≤ s ≤ 7 |
| B. | s ≠ 6 |
| C. | s ≤ 6 |
| D. | s ≥ 6 |
| Answer» E. | |
| 362. |
PQRS is a cyclic quadrilateral in which ∠P = 86°. Find ∠R. |
| A. | 89° |
| B. | 94° |
| C. | 90° |
| D. | 84° |
| Answer» C. 90° | |
| 363. |
In ΔABC, the side AB is produced to E, and side AC is produced to D. If ∠BCD = 125° and ∠EBC = 110°, then which of the following is true? |
| A. | Difference between ∠ABC and ∠ACB is 35° |
| B. | Difference between ∠BAC and ∠ACB is 20° |
| C. | ΔABC is an isosceles triangle |
| D. | AB > BC |
| Answer» D. AB > BC | |
| 364. |
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)? |
| A. | 2 : 3 |
| B. | 3 : 2 |
| C. | 2 : 1 |
| D. | 1 : 2 |
| Answer» D. 1 : 2 | |
| 365. |
ΔDEF is right angled at E. If ∠D = 30°. What is the length of DE (in cm), if EF = 4√3 cm? |
| A. | 12 |
| B. | 6 |
| C. | 8 |
| D. | 18 |
| Answer» B. 6 | |
| 366. |
Let ∆ABC ∼ ∆QPR and ar (∆ABC) : ar (∆PQR) = 9 : 4. If AB = 9 cm, BC = 6 cm and AC = 12 cm then QR is equal to: |
| A. | 8 cm |
| B. | 12 cm |
| C. | 9 cm |
| D. | 16 cm |
| Answer» B. 12 cm | |
| 367. |
ABCD is a cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and ∠ADC = 129°. Then, ∠BAC is equal to: |
| A. | 51° |
| B. | 39° |
| C. | 61° |
| D. | 49° |
| Answer» C. 61° | |
| 368. |
In the given figure, if BD ∥ RS ∥ PQ, CP = PD = 11 cm, AR = RD = 3 cm, BD = x, RS = y, PQ = z, then the ratio of values of y and z is |
| A. | 6 ∶ 11 |
| B. | 3 ∶ 11 |
| C. | 1 ∶ 1 |
| D. | 1 ∶ 2 |
| Answer» D. 1 ∶ 2 | |
| 369. |
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 = 110°, then ∠OAB is equal to∶ |
| A. | 35° |
| B. | 70° |
| C. | 55° |
| D. | 45° |
| Answer» D. 45° | |
| 370. |
From an external point P, a tangent PQ is drawn to a circle, with the centre O, touching the circle at Q. if the distance of P from the centre is 13 cm and length of the tangent PQ is 12 cm, then the radius of the circle is: |
| A. | 5 cm |
| B. | 12.5 cm |
| C. | 10 cm |
| D. | 3 cm |
| Answer» B. 12.5 cm | |
| 371. |
If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x - 3) cm, AE = (x + 3) cm and EC = (x - 2) cm, then what is the value (in cm) of x? |
| A. | 3 |
| B. | 3.5 |
| C. | 4 |
| D. | 4.5 |
| Answer» E. | |
| 372. |
In an isosceles triangle ABC, if AB = AC and D, E be the midpoints of AB and AC respectively, then BE = _________ |
| A. | BD |
| B. | BC |
| C. | AD |
| D. | CD |
| Answer» E. | |
| 373. |
How many triangles can be obtained by joining the vertices of a quadrilateral? |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» B. 6 | |
| 374. |
During a practice session in a stadium an athlete runs along a circular track and her performance is observed by her coach standing at point on the circle and also by her physiotherapist standing at the centre of the circle. The coach finds that she covers an angle of 72° in 1 min. what will be the angle covered by her in 1 second according to the measurement made by her physiotherapist? |
| A. | It depends on the position of the coach on the circular track |
| B. | 1.2° |
| C. | 4.8° |
| D. | 2.4° |
| Answer» E. | |
| 375. |
A triangle has vertices (1, 6), (3, 0) and (-3, -7). Its area in square units is ? |
| A. | 10 |
| B. | 25 |
| C. | 30 |
| D. | 40 |
| Answer» C. 30 | |
| 376. |
In the given figure, the length of arc BC of the given circle is 44 cm. If O is the centre of circle, then what is the radius (in cm) of the circle? |
| A. | 7 |
| B. | 14 |
| C. | 28 |
| D. | 35 |
| Answer» D. 35 | |
| 377. |
Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB is equal to ______________ |
| A. | 90° |
| B. | 50° |
| C. | 40° |
| D. | 10° |
| Answer» D. 10° | |
| 378. |
In the following figure (not to scale), at the centre O, if the chord AB subtends double the angle that is subtended by chord CD and the angle ∠AEB = 2 ∠AOB, then ∠COD is equal to: |
| A. | 75° |
| B. | 60° |
| C. | 30° |
| D. | 45° |
| Answer» D. 45° | |
| 379. |
In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O and ∠AOB = 64°. ∠C + ∠D is equal to∶ |
| A. | 128° |
| B. | 148° |
| C. | 136° |
| D. | 116° |
| Answer» B. 148° | |
| 380. |
ΔABC is right angled at B. BD is an altitude. DC = 9 cm and AC = 25 cm. What is the value of BC (in cm)? |
| A. | 12 |
| B. | 18 |
| C. | 16 |
| D. | 15 |
| Answer» E. | |
| 381. |
In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR? |
| A. | 107.5 |
| B. | 112.5 |
| C. | 117.5 |
| D. | 122.5 |
| Answer» C. 117.5 | |
| 382. |
If the sum of three angles of a quadrilateral is 265˚, then the measure of its fourth angle is _______. |
| A. | A right angle |
| B. | An obtuse angle |
| C. | An acute angle |
| D. | A reflex angle |
| Answer» C. An acute angle | |
| 383. |
In ΔABC, AB = 7, BC = 10 cm, and AC = 8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then BD is equal to: |
| A. | 16/3 cm |
| B. | 17/4 cm |
| C. | 15/4 cm |
| D. | 14/3 cm |
| Answer» E. | |
| 384. |
If the measure of each interior angle of a regular polygon is 150°, then the number of its diagonals will be |
| A. | 54 |
| B. | 27 |
| C. | 15 |
| D. | 12 |
| Answer» B. 27 | |
| 385. |
In a circle of radius 10 cm, with centre O, PQ and PR are two chords each of length 12 cm. PO bisects chord QR at the points S. The length of OS is: |
| A. | 2.5 cm |
| B. | 3.2 cm |
| C. | 3 cm |
| D. | 2.8 cm |
| Answer» E. | |
| 386. |
If the angles of a triangle are (2x - 8)°, (2x + 18)° and 6x°. What is the value of 3x (in degrees)? |
| A. | 17 |
| B. | 34 |
| C. | 51 |
| D. | 60 |
| Answer» D. 60 | |
| 387. |
If PA and PB are tangents drawn from an external point P to a circle with centre O such that ∠APB = 70°, then ∠OAB is equal to: |
| A. | 40° |
| B. | 25° |
| C. | 35° |
| D. | 30° |
| Answer» D. 30° | |
| 388. |
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is |
| A. | 5 : 6 |
| B. | 2 : 3 |
| C. | 3 : 4 |
| D. | 4 : 5 |
| Answer» C. 3 : 4 | |
| 389. |
Let two chords AB and AC of the larger circle touch the smaller circle having the same centre at X and Y,then XY = ? |
| A. | BC |
| B. | BC/2 |
| C. | BC/3 |
| D. | BC/4 |
| Answer» C. BC/3 | |
| 390. |
ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD if G is the centroid of ΔABC. |
| A. | 3√3 cm |
| B. | 6√3 cm |
| C. | 4√3 cm |
| D. | 2√3 cm |
| Answer» E. | |
| 391. |
Consider the following figure shown below and choose which of the following equation is CORRECT about the similarity of both triangles? |
| A. | ∆ABC ~ ∆DEF |
| B. | ∆ACB ~ ∆DEF |
| C. | ∆ABC ~ ∆FDE |
| D. | Both triangles are not similar. |
| Answer» E. | |
| 392. |
Find the point on the X-axis which is equidistant from (2, -5) and (-2, 9) |
| A. | (14, 0) |
| B. | (-7, 0) |
| C. | (7, 0) |
| D. | (-14, 0) |
| Answer» C. (7, 0) | |
| 393. |
In the given figure, ∠PSR = 105° and PQ is the diameter of the circle. What is the value (in degrees) of ∠QPR? |
| A. | 75° |
| B. | 15° |
| C. | 30° |
| D. | 45° |
| Answer» C. 30° | |
| 394. |
In the given figure, AB is a diameter of the circle with centre O and XY is the tangent at a point C. If ∠ACX = 35°, then what is the value (in degrees) of ∠CAB? |
| A. | 45 |
| B. | 35 |
| C. | 55 |
| D. | 65 |
| Answer» D. 65 | |
| 395. |
Calculate the length (in cm) of the chord of the circle which is at the distance of the 12 cm from the centre and the radius of the circle is 13 cm. |
| A. | 10 |
| B. | 12 |
| C. | 13 |
| D. | 15 |
| Answer» B. 12 | |
| 396. |
In figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC = 45° then, find angle ∠BCD. |
| A. | 100° |
| B. | 80° |
| C. | 35° |
| D. | 45° |
| Answer» C. 35° | |
| 397. |
Let PAB be a secant to a circle intersecting the circle at A and B. Let PT be the tangent segment. If PA = 9 cm and PT = 12 cm, then what is AB equal to? |
| A. | 5 cm |
| B. | 6 cm |
| C. | 7 cm |
| D. | 9 cm |
| Answer» D. 9 cm | |
| 398. |
In the given figureAB ∥ CD, then the value of y° – x° is |
| A. | 10° |
| B. | 20° |
| C. | 30° |
| D. | 40° |
| Answer» B. 20° | |
| 399. |
Find the y-intercept of the line joining two points (1, 3) and (3, 5). |
| A. | -2 |
| B. | 0 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 400. |
In the given figure, BD passes through centre O, AB = 12 and AC = 8. What is the radius of the circle? |
| A. | 3√2 |
| B. | 4√3 |
| C. | 3√5 |
| D. | 3√3 |
| Answer» D. 3√3 | |