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.
| 301. |
n-coplanar straight lines meet at a point. The angles between consecutive lines are x°, 2x°, .........,nx°. The value of n in order that the minimum angle be 24°, is |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 302. |
In ∆ABC, ∠A : ∠B : ∠C = 5 : 4 : 1. What is the value (in degrees) of ∠B + ∠C? |
| A. | 50 |
| B. | 70 |
| C. | 90 |
| D. | 100 |
| Answer» D. 100 | |
| 303. |
How many straight lines can be drawn through four distinct non-collinear points ? |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 12 |
| Answer» C. 8 | |
| 304. |
In the figure given below, p, q, r are parallel lines; l and m are two transversals.Consider the following:1. AB : AC = DE : DF2. AB × EF = BC × DEWhich of the above is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» D. Neither 1 nor 2 | |
| 305. |
In Δ ABC, AB = 12 cm. ∠A is bisected internally to intersect BC at D. BD = 7 cm and DC = 8.75 cm. What is the length of CA? |
| A. | 12.5 cm |
| B. | 14.5 cm |
| C. | 15 cm |
| D. | 13.5 cm |
| Answer» D. 13.5 cm | |
| 306. |
In the diagram above, TU∥PS and points Q and R lie on PS. Also, ∠PQT = x°, ∠RQT = (x – 60)°, and ∠TUR = (x + 50)°. What is the measure of ∠URS? |
| A. | 170° |
| B. | 175° |
| C. | 160° |
| D. | 165° |
| Answer» B. 175° | |
| 307. |
A line segment AB is the diameter of a circle with centre at O having radius 6.5 cm. Point P is in the place of the circle such that AP = x and BP = y. In which one of the following cases the point P does not lie on the circle? |
| A. | x = 6.5 cm and y = 6.5 cm |
| B. | x = 12 cm and y = 5 cm |
| C. | x = 5 cm and y = 12 cm |
| D. | x = 0 cm and y = 13 cm |
| Answer» B. x = 12 cm and y = 5 cm | |
| 308. |
In ∆ABC, ∠B = 72° and ∠C = 44°, Side BC is produced to D. The bisectors of ∠B and ∠ACD meet at E. what is the measure of ∠BEC? |
| A. | 36° |
| B. | 32° |
| C. | 46° |
| D. | 58° |
| Answer» C. 46° | |
| 309. |
Chords AB and CD of a circle, when produced, meet at a point P outside the circle, If AB = 6 cm, CD = 3 cm and PD = 5 cm, then PB is equal to∶ |
| A. | 6 cm |
| B. | 4 cm |
| C. | 5 cm |
| D. | 6.25 cm |
| Answer» C. 5 cm | |
| 310. |
In the figure given below, PQ is parallel to RS and PR is parallel to QS. If ∠LPR = 35° and ∠UST = 70°, then what is ∠MPQ equal to? |
| A. | 55° |
| B. | 70° |
| C. | 75° |
| D. | 80° |
| Answer» D. 80° | |
| 311. |
Point P is the midpoint of segment AB. Co-ordinates of P are (1, 3) and A are (-3, 8). What are the co-ordinates of point B? |
| A. | (-5, -2) |
| B. | (-5, 2) |
| C. | (5, 2) |
| D. | (5, -2) |
| Answer» E. | |
| 312. |
Find the slope of the line which is perpendicular to the line connecting the points A(- 5, 3) and B(2, 6) |
| A. | 4 / 9 |
| B. | 3 / 5 |
| C. | - 8 / 7 |
| D. | - 7 / 3 |
| Answer» E. | |
| 313. |
In two concentric circles, a chord length 80 cm of larger circle becomes a tangent to the smaller circle whose radius is 9 cm. The radius of the larger circle will be |
| A. | 13 cm |
| B. | 41 cm |
| C. | 52 cm |
| D. | 75 cm |
| Answer» C. 52 cm | |
| 314. |
In a circle with center O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BPT = 36°, then what is the measure of ∠BCP? |
| A. | 27° |
| B. | 14° |
| C. | 36° |
| D. | 18° |
| Answer» B. 14° | |
| 315. |
In a triangle ABC, PQ is a straight line parallel to AC, such that Area ABC : Area PBQ = 3 : 1 Then CB : CQ is equal to: |
| A. | √3(√3 – 1) : 2 |
| B. | √3 : 2 |
| C. | √3 – 2 : 2 |
| D. | √3(√3 + 1) : 2 |
| Answer» E. | |
| 316. |
If ABCD be a cyclic quadrilateral in which ∠A = 4x°, ∠B = 7x°, ∠C = 5y° and ∠D = y°, then x ∶ y is- |
| A. | 3 ∶ 4 |
| B. | 4 ∶ 3 |
| C. | 5 ∶ 4 |
| D. | 4 ∶ 5 |
| Answer» C. 5 ∶ 4 | |
| 317. |
In a circle with center O and radius 10 cm, PQ and RS are two parallel chords of lengths x cm and 12 cm, respectively, and both the chords are on the opposite side of O. If the distance between PQ and RS is 14 cm, the value of x is: |
| A. | 20 |
| B. | 18 |
| C. | 15 |
| D. | 16 |
| Answer» E. | |
| 318. |
In ΔABC, D, E and F are the mid-points of the sides BC, CA and AB, respectively, BE and DF intersect at X. DE and CF intersect at Y. Find XY = ? |
| A. | BC/2 |
| B. | BC/4 |
| C. | BC/3 |
| D. | 2BC/3 |
| Answer» C. BC/3 | |
| 319. |
A chord 10 cm long is drawn in a circle of diameter 26 cm. The perpendicular distance of the chord from centre is: |
| A. | 12 cm |
| B. | 5 cm |
| C. | 7 cm |
| D. | 8 cm |
| Answer» B. 5 cm | |
| 320. |
If A, B and C are 3 distinct points, that lie in a straight line ,AB + BC = AC, then B is said to lie between A and C and in symbol, we write it as A-B-C or C-B-A. This is the definition of which of the following? |
| A. | Length of a line segment |
| B. | Ray |
| C. | Betweenness |
| D. | Plane |
| Answer» D. Plane | |
| 321. |
If ΔPQR is right angled at Q, PQ = 12 and ∠PRQ = 30°, then what is the value of QR? |
| A. | 12√3 |
| B. | 12√2 |
| C. | 12 |
| D. | 24 |
| Answer» B. 12√2 | |
| 322. |
ABCD is a parallelogram in which ∠DAB = 75°, ∠DBC = 60°. Then ∠CDB =____. |
| A. | 45° |
| B. | 60° |
| C. | 30° |
| D. | 15° |
| Answer» B. 60° | |
| 323. |
A triangle is formed with vertices (0, 0), (0, 100) and (100, 100). What is the number of points inside the triangle with integer coordinates? |
| A. | 5000 |
| B. | 4999 |
| C. | 4851 |
| D. | 4800 |
| Answer» B. 4999 | |
| 324. |
A line DE parallel to the side BC intersects the other two sides of triangle at point D and E such that \(AD\; = \;\frac{1}{6}\;AB\) and \(AE\; = \;\frac{1}{6}\;AC\). If the value of BC is 18 cm then calculate the value of DE (in cm). |
| A. | 2 |
| B. | 3 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 325. |
Find the slope of the line which passes through points (7, 5) and (- 3, - 5) |
| A. | 1 |
| B. | -1 |
| C. | √3 |
| D. | 0 |
| Answer» B. -1 | |
| 326. |
A triangle and a parallelogram constructed on the same base have equal areas. The height of the parallelogram is 5 cm. What is the height of the triangle? |
| A. | 10 cm |
| B. | 12 cm |
| C. | 2 cm |
| D. | 5 cm |
| Answer» B. 12 cm | |
| 327. |
PQR is a triangle X, Y, Z are the mid points of PQ, QR and RP respectively, similarly A, B, C are the mid points of the sides XY, YZ, ZX respectively. What is the ratio of areas of ΔXYZ to ΔABC? |
| A. | 4 : 1 |
| B. | 2 : 3 |
| C. | 1 : 4 |
| D. | 3 : 4 |
| Answer» B. 2 : 3 | |
| 328. |
In the given figure O is the centre of the circle. If angle PRQ = 64°, then what is the measure of angle OPQ? |
| A. | 60° |
| B. | 26° |
| C. | 32° |
| D. | 64° |
| Answer» C. 32° | |
| 329. |
In the diagram alongside, \(\overline {PL}\) bisects ∠QPR of Δ PQR and L lies on \(\overline {QR}\). If ∠Q = 70° and ∠LPR = 28°, then what is ∠PLQ equal to? |
| A. | 52° |
| B. | 56° |
| C. | 82° |
| D. | 98° |
| Answer» D. 98° | |
| 330. |
In ΔPQR, ∠Q >∠R, PS is the bisector of ∠P and PT ⊥ QR. If ∠SPT = 28° and ∠R = 23°, then the measure of ∠Q is : |
| A. | 89° |
| B. | 82° |
| C. | 79° |
| D. | 74° |
| Answer» D. 74° | |
| 331. |
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 = 142°, then ∠OAB is equal to: |
| A. | 58° |
| B. | 64° |
| C. | 31° |
| D. | 71° |
| Answer» E. | |
| 332. |
For the figure given below, fnd the angle OAB (in degrees). |
| A. | 25 |
| B. | 50 |
| C. | 75 |
| D. | 90 |
| Answer» D. 90 | |
| 333. |
In the given figure, ABCD is a quadrilateral. From the figure, which of the following statements is true? |
| A. | AB + BC + CD + AD = 2AC |
| B. | AB + BC + CD + AD < 2AC |
| C. | AB + BC + CD + AD > 2AC |
| D. | None of these |
| Answer» D. None of these | |
| 334. |
If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P(x, y) such that AP = 3/7 AB and P lies on the line segment AB. |
| A. | -2/7, 20/7 |
| B. | 2/7, -20/7 |
| C. | -2/7, -20/7 |
| D. | 2/7, 20/7 |
| Answer» D. 2/7, 20/7 | |
| 335. |
If the measure of the interior angle of a regular polygon is 108° greater than the measure of its exterior angle then how many sides does it have? |
| A. | 10 |
| B. | 12 |
| C. | 15 |
| D. | 18 |
| Answer» B. 12 | |
| 336. |
If angles of triangle are in the ratio 3 : 4 : 5, then find the angles. |
| A. | 45°, 60°, 75° |
| B. | 40°, 55°, 85° |
| C. | 40°, 60°, 80° |
| D. | 45°, 55°, 80° |
| Answer» B. 40°, 55°, 85° | |
| 337. |
In given ΔABC, AP is bisector of ∠BAC and AQ is perpendicular to BC, then ∠PAQ is equal to |
| A. | 20° |
| B. | 40° |
| C. | 15° |
| D. | 25° |
| Answer» B. 40° | |
| 338. |
In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smaller side of the triangle is: |
| A. | 9 |
| B. | 10 |
| C. | 7 |
| D. | 8 |
| Answer» B. 10 | |
| 339. |
In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is: |
| A. | 12.7 |
| B. | 10.8 |
| C. | 13.4 |
| D. | 11.6 |
| Answer» B. 10.8 | |
| 340. |
Consider the following statements & choose the correct option:When two straight lines intersect then,1. Adjacent angles are supplementary2. Opposite angles are supplementary |
| A. | Both 1 & 2 are incorrect. |
| B. | Both 1 & 2 are correct |
| C. | 1 is incorrect and 2 is correct |
| D. | 1 is correct and 2 is incorrect |
| Answer» E. | |
| 341. |
If ∠A = 20° and ∠AFG = ∠AGF, then ∠B + ∠D equals to _____. |
| A. | 48° |
| B. | 60° |
| C. | 72° |
| D. | 80° |
| Answer» E. | |
| 342. |
In Δ ABC, AB = AC, and ∠BAC is 50º. Then ∠ABC and ∠BCA are, respectively: |
| A. | 70º and 75º |
| B. | 65º and 65º |
| C. | 50º and 55º |
| D. | 55º and 55º |
| Answer» C. 50º and 55º | |
| 343. |
In ΔPQR, ∠P : ∠Q : ∠R = 2 : 2 : 5. A line parallel to QR is drawn which touches PQ and PR at A and B respectively. What is the value of ∠PBA - ∠PAB? |
| A. | 60 |
| B. | 30 |
| C. | 24 |
| D. | 36 |
| Answer» B. 30 | |
| 344. |
In ΔPQR, ∠QPR is a right angle, \(\overline {PS} \bot \overline {QR} \), if RS = 6 cm, QS = 18 cm, how much is \(\overline {PR}\)? |
| A. | 8 cm |
| B. | 9 cm |
| C. | 12 cm |
| D. | 14 cm |
| Answer» D. 14 cm | |
| 345. |
A regular polygon is having 4p + 2 as the number of its sides where p is a positive integer. What will be the ratio of the measure of its interior angle to that of its exterior angle? |
| A. | p ∶ 2 |
| B. | 2p ∶ 1 |
| C. | 1 ∶ p |
| D. | p ∶ 1 |
| Answer» C. 1 ∶ p | |
| 346. |
ABCD is a cyclic quadrilateral whose side AB is the diameter of a circle through A, B, C and D. If ∠ADC = 130°, then the measure of ∠BAC is: |
| A. | 45° |
| B. | 40° |
| C. | 35° |
| D. | 50° |
| Answer» C. 35° | |
| 347. |
ABCD is a cyclic quadrilateral whose diagonals intersect at P. If AB = BC, ∠DBC = 70° and ∠BAC = 30°, then the measure of ∠PCD is: |
| A. | 50° |
| B. | 35° |
| C. | 55° |
| D. | 30° |
| Answer» B. 35° | |
| 348. |
In ∆ABC, ∠B = 68° and ∠C = 32°. Sides AB and AC are produced to points D and E respectively. The bisectors of ∠DBC and ∠BCE meet at F. what is the measure of ∠BFC? |
| A. | 65° |
| B. | 50° |
| C. | 55° |
| D. | 39° |
| Answer» C. 55° | |
| 349. |
A field is in the shape of a trapezium, where parallel sides are 52 m and 20 m and non-parallel sides each of length 20 m. Its area (in m2) is∶ |
| A. | 324 |
| B. | 336 |
| C. | 384 |
| D. | 432 |
| Answer» E. | |
| 350. |
In the figure given below, p and q are parallel lines. What are the values of the angles x, y and z? |
| A. | x = 80°, y = 40°, z = 100° |
| B. | x = 80°, y = 50°, z = 105° |
| C. | x = 70°, y = 40°, z = 110° |
| D. | x = 60°, y = 20°, z = 120° |
| Answer» E. | |