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.
| 401. |
ΔABC ∼ ΔNLM and ar(ΔABC) : ar(ΔLMN) = 4 : 9. If AB = 6 cm, BC = 8 cm and AC = 12 cm, then ML is equal to: |
| A. | 18 cm |
| B. | 6 cm |
| C. | 9 cm |
| D. | 12 cm |
| Answer» E. | |
| 402. |
ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendicular on BC at E and F, respectively. Which of the following is not true? |
| A. | ΔADC ≅ ΔABD |
| B. | ΔAOE ≅ ΔDOF |
| C. | ΔABC ≅ ΔDCB |
| D. | ΔAEB ≅ ΔDFC |
| Answer» B. ΔAOE ≅ ΔDOF | |
| 403. |
In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is: |
| A. | 8 cm |
| B. | 3 cm |
| C. | 7 cm |
| D. | 4 cm |
| Answer» B. 3 cm | |
| 404. |
In ΔABC, AD ⊥ BC at D and AE is the bisector of ∠A. If ∠B = 72° and ∠C = 26°, then what is the measure of ∠DAE? |
| A. | 25° |
| B. | 23° |
| C. | 49° |
| D. | 37° |
| Answer» C. 49° | |
| 405. |
A circle is inscribed in a triangle ABC. It touches side AB, BC and AC at the points P. Q and R respectively. If BP = 8.5 cm, CQ = 6.5 and AR = 4.5 cm, then the perimeter (in cm) of the ΔABC is: |
| A. | 49.5 |
| B. | 35 |
| C. | 39 |
| D. | 33 |
| Answer» D. 33 | |
| 406. |
In ΔXYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm, then what is the value (in cm) of GM? |
| A. | 6 |
| B. | 4 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 407. |
AB and CD are parallel chords of a circle 3 cm apart. If AB = 4 cm, CD = 10 cm, then what is the radius of the circle? |
| A. | 7 cm |
| B. | √19 cm |
| C. | √29 cm |
| D. | 14 cm |
| Answer» D. 14 cm | |
| 408. |
One side of a rhombus is 6.5 cm and one of its’s diagonal is 12 cm. What is the area of the rhombus? |
| A. | 60 cm2 |
| B. | 15 cm2 |
| C. | 30 cm2 |
| D. | 78 cm2 |
| Answer» D. 78 cm2 | |
| 409. |
If the measure of the interior angle of a regular polygon is 108° then how many sides does it have? |
| A. | 6 |
| B. | 8 |
| C. | 9 |
| D. | 5 |
| Answer» E. | |
| 410. |
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 ∠OAB = 38°, then ∠APB is equal to∶ |
| A. | 25° |
| B. | 35° |
| C. | 20° |
| D. | 76° |
| Answer» E. | |
| 411. |
A, B and C are the three points on a circle such that ∠ABC = 35° and ∠BAC = 85°. What is the angle (in degrees) subtended by arc AB at the centre of the circle? |
| A. | 60 |
| B. | 90 |
| C. | 135 |
| D. | 120 |
| Answer» E. | |
| 412. |
In the given figure, ∠CDB = 50°. ∠DBA = 50°. AD = 4 cm and BC = 4 cm. Then ABCD is a/an _______. |
| A. | parallelogram |
| B. | rhombus |
| C. | rectangle |
| D. | Isosceles Trapezium |
| Answer» E. | |
| 413. |
In the given figure ABCD is a cyclic quadrilateral, if ∠AOC = 130° then ∠ABC is |
| A. | 115° |
| B. | 65° |
| C. | 50° |
| D. | 60° |
| Answer» B. 65° | |
| 414. |
In ΔABC, MN∥BC, the area of quadrilateral MBCN = 130 cm2. If AN : NC = 4 : 5, then the area of ΔMAN is: |
| A. | 45 cm2 |
| B. | 65 cm2 |
| C. | 40 cm2 |
| D. | 32 cm2 |
| Answer» E. | |
| 415. |
In a Δ ABC, AC = 12 cm, AB = 16 cm and AD is the bisector of ∠A. If BD = 4 cm, then what is DC equal to? |
| A. | 2 cm |
| B. | 3 cm |
| C. | 4 cm |
| D. | 5 cm |
| Answer» C. 4 cm | |
| 416. |
Classify the triangle as a type of triangle if the sides of the triangle are 6, 12 and 13 units. |
| A. | Right angled triangle |
| B. | Obtuse angled triangle |
| C. | Acute angled triangle |
| D. | None of these |
| Answer» D. None of these | |
| 417. |
In ΔABC, E and D are points on sides AB and AC, respectively, such that ∠ABC = ∠ADE. If AE = 6 cm, AD = 4cm and EB = 4cm, then the length of DC is: |
| A. | 11 cm |
| B. | 9.5 cm |
| C. | 8 cm |
| D. | 10 cm |
| Answer» B. 9.5 cm | |
| 418. |
In the given figure, AB = 30 cm and CD = 24 cm. What is the value (in cm) of MN? |
| A. | 18 |
| B. | 9 |
| C. | 12 |
| D. | 15 |
| Answer» B. 9 | |
| 419. |
In a ΔABC, D, E and F are the mid-points of the sides AB, BC and CA respectively. Then the ratio of the area of a ΔDEF and the area of a ΔABC is: |
| A. | 1:4 |
| B. | 1:2 |
| C. | 2:3 |
| D. | 4:5 |
| Answer» B. 1:2 | |
| 420. |
Calculate the Angle BAC if the angle BIC = 125° and ‘I’ be the In-centre of the triangle. |
| A. | 50o |
| B. | 60o |
| C. | 70o |
| D. | 80o |
| Answer» D. 80o | |
| 421. |
In a equilateral ΔPQR, PD is the median and G is centroid. If PG = 24 cm, then what is the length (in cm) of PD? |
| A. | 48 |
| B. | 36 |
| C. | 60 |
| D. | 72 |
| Answer» C. 60 | |
| 422. |
In a quadrilateral PQRS, ∠S = 90°. A circle (o,r) touches the side PQ, QR, RS, and SP at A, B, C and D, respectively, if QR = 38 cm, RS = 25 cm and QA = 27 cm, find ‘r’. |
| A. | 16 cm |
| B. | 12 cm |
| C. | 14 cm |
| D. | 10 cm |
| Answer» D. 10 cm | |
| 423. |
Let Δ ABC ∼ Δ RPQ and \(\frac{{ar(\Delta ABC)}}{{ar(\Delta RPQ)}} = \frac{4}{9}\). If AB = 3 cm, BC = 4 cm and AC = 5 cm, then RP (in cm) is equal to: |
| A. | 4.5 cm |
| B. | 12 cm |
| C. | 5 cm |
| D. | 6 cm |
| Answer» B. 12 cm | |
| 424. |
In ΔPQR, PQ = PR and the value of ∠QPR is equal to half of external angle at R. What is the value (in degrees) of ∠QPR? |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 75 |
| Answer» D. 75 | |
| 425. |
An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?(Each side of the regular hexagon is 1/3 rd the original side of equilateral triangle) |
| A. | 66.66% |
| B. | 33.33% |
| C. | 83.33% |
| D. | 56.41% |
| Answer» B. 33.33% | |
| 426. |
Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle? |
| A. | 160 |
| B. | 150 |
| C. | 170 |
| D. | 180 |
| Answer» B. 150 | |
| 427. |
In a trapezium ABCD, AB is parallel to DC. The diagonals AC and BD intersect at P. If AP ∶ PC = 4 ∶ (4x - 4) and BP ∶ PD = (2x - 1) ∶ (2x + 4), then what is the value of x? |
| A. | 4 |
| B. | 3 |
| C. | \(\frac{3}{2}\) |
| D. | 2 |
| Answer» C. \(\frac{3}{2}\) | |
| 428. |
In ΔABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector ∠A, and M lies between B and N. If ∠B = 68° , and ∠C = 26° , then the measure of ∠MAN is: |
| A. | 28° |
| B. | 24° |
| C. | 21° |
| D. | 22° |
| Answer» D. 22° | |
| 429. |
In ΔABC, ∠A - ∠B = 33°, ∠B - ∠C = 18° What is the sum of the smallest and the largest angles of the triangle? |
| A. | 92° |
| B. | 143° |
| C. | 125° |
| D. | 108° |
| Answer» D. 108° | |
| 430. |
A polygon has 44 diagonals. Find the number of its side? |
| A. | 12 |
| B. | 9 |
| C. | 11 |
| D. | 10 |
| Answer» D. 10 | |
| 431. |
In a quadrilateral PQRS, if ∠P = 60° and ∠Q ∶ ∠R ∶ ∠S = 2 ∶ 3 ∶ 7, then ∠S is |
| A. | 175° |
| B. | 135° |
| C. | 150° |
| D. | 120° |
| Answer» B. 135° | |
| 432. |
P(3, 1) and R( - 7, 5) are vertices of a rhombus PQRS. What is the equation of diagonal QS? |
| A. | 5x - 2y = 16 |
| B. | 5x - 2y = - 16 |
| C. | 5x + 2y = - 16 |
| D. | 5x + 2y = 16 |
| Answer» C. 5x + 2y = - 16 | |
| 433. |
In the following figure, ∠B : ∠C = 2 : 3, then the value of ∠B will be |
| A. | 65° |
| B. | 52° |
| C. | 78° |
| D. | 130° |
| Answer» C. 78° | |
| 434. |
In the following figure, O is the centre of the circle and ∠PRQ = 50°. What is the value (in degrees) of ∠PTQ. |
| A. | 100 |
| B. | 75 |
| C. | 130 |
| D. | 150 |
| Answer» D. 150 | |
| 435. |
For the given shapes, which one of the following statements is not correct? |
| A. | All are parallelograms |
| B. | One of them is not a parallelogram |
| C. | Two of them are rhombuses |
| D. | Two of them are rectangles |
| Answer» B. One of them is not a parallelogram | |
| 436. |
If the angles of a triangle are in the ratio of 1 : 2 : 3, then find the value of largest angle.A.30° B. 60° C. 90° D. 120° |
| A. | B |
| B. | A |
| C. | C |
| D. | D |
| Answer» D. D | |
| 437. |
An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC = AD. Then what will be the measure of angle BCD? |
| A. | π/6 |
| B. | π/3 |
| C. | 2π/3 |
| D. | π/2 |
| Answer» E. | |
| 438. |
In the given figure, AB = AC and DB = DC, find the ratio ∠ABD: ∠ACD. |
| A. | 1 : 1 |
| B. | 2 : 1 |
| C. | 1 : 2 |
| D. | 2 : 3 |
| Answer» B. 2 : 1 | |
| 439. |
In the figure, strips 1, 2 and 3 have the same horizontal width 'a' units. These strips connect two parallel lines. Which strip has the largest area? |
| A. | All three strips have the same area |
| B. | Strip 1 only |
| C. | Strip 2 onl |
| D. | Strip 3 only |
| Answer» B. Strip 1 only | |
| 440. |
Consider the following statements:1. The perimeter of a triangle is greater than the sum of its three medians.2. In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.Which of the above statements 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 | |
| 441. |
O is the centre of the circle. A tangent is drawn which touches the circle at C. If ∠AOC = 80°, then what is the value (in degrees) of ∠BCX? |
| A. | 80 |
| B. | 30 |
| C. | 40 |
| D. | 50 |
| Answer» E. | |
| 442. |
If the length of the hypotenuse of a right-angled triangle is 10 cm, then what is the maximum area of such a right-angled triangle? |
| A. | 100 cm2 |
| B. | 50 cm2 |
| C. | 25 cm2 |
| D. | 10 cm2 |
| Answer» D. 10 cm2 | |
| 443. |
PQRS is a cyclic quadrilateral. If ∠P is thrice ∠R and ∠S is 5 times ∠Q, what is the sum of ∠Q and ∠R? |
| A. | 75° |
| B. | 65° |
| C. | 72° |
| D. | 70° |
| Answer» B. 65° | |
| 444. |
If ∆ABC is an isosceles triangle with ∠c = 90° and AC = 5 cm then AB is: |
| A. | 5 cm |
| B. | 2.5 cm |
| C. | 10 cm |
| D. | 5√2 cm |
| Answer» E. | |
| 445. |
If any two sides of a triangle are divided by the line in the same ratio, then the line must be ________ to the third side of the triangle. |
| A. | Equal |
| B. | Parallel |
| C. | Perpendicular |
| D. | Non parallel |
| Answer» C. Perpendicular | |
| 446. |
PQ is a tangent to the circle at T. If TR = TS where, R and S are points on the circle and ∠RST = 65°, the ∠PTS = ? |
| A. | 45° |
| B. | 130° |
| C. | 115° |
| D. | 55° |
| Answer» D. 55° | |
| 447. |
In ΔABC, D and E are the points on AB and AC respectively such that AD × AC = AB × AE. If ∠ADE = ∠ACB + 30° and ∠ABC = 78°, then ∠A = ? |
| A. | 56° |
| B. | 48° |
| C. | 54° |
| D. | 68° |
| Answer» D. 68° | |
| 448. |
In given ΔABC, OB and OC are bisectors of ∠B and ∠C respectively, then ∠BOC is equal to |
| A. | 70° |
| B. | 110° |
| C. | 140° |
| D. | 80° |
| Answer» C. 140° | |
| 449. |
If a regular hexagon is inscribed in a circle of radius r, then its perimeter is: |
| A. | 6 r |
| B. | 3 r |
| C. | 9 r |
| D. | 12 r |
| Answer» B. 3 r | |
| 450. |
Find the length of the diagonal of a rectangle of length 6 cm and width 2 cm.A. \(2\sqrt{10}\) cmB. \(\pm \ 2\sqrt{10}\) cmC. \(4\sqrt{2}\) cmD. \(\pm \ 4\sqrt{2}\) cm |
| A. | D |
| B. | A |
| C. | B |
| D. | C |
| Answer» C. B | |