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.
| 801. |
∆ABC, ∠A = 90°, M is the midpoint of BC and D is a point on BC such that AD⊥ BC. If AB = 7 cm and AC = 24 cm, then AD : AM is equal to: |
| A. | 168 : 275 |
| B. | 336 : 625 |
| C. | 24 : 25 |
| D. | 32 : 43 |
| Answer» C. 24 : 25 | |
| 802. |
If the angles of a triangle are in the ratio of 2 : 3 : 5, then find the ratio of the greatest angle to the smallest angle.A. 7 : 2B. 5 : 2C. 5 : 3D. 3 : 5 |
| A. | D |
| B. | C |
| C. | A |
| D. | B |
| Answer» E. | |
| 803. |
In the given circle, the value of θ is equal to |
| A. | 35° |
| B. | 45° |
| C. | 55° |
| D. | 65° |
| Answer» D. 65° | |
| 804. |
M is the mid-point of the side BC of ΔABC, and the area ofΔABM is 18cm2, then the area of ΔABC is |
| A. | 36cm2 |
| B. | 34 cm2 |
| C. | 30 cm2 |
| D. | 32 cm2 |
| Answer» B. 34 cm2 | |
| 805. |
In the given parallelogram, find the value of x. |
| A. | 3 |
| B. | 5 |
| C. | 9 |
| D. | 6 |
| Answer» D. 6 | |
| 806. |
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR? |
| A. | 52 |
| B. | 77 |
| C. | 128 |
| D. | 142 |
| Answer» D. 142 | |
| 807. |
In ΔPQR, ∠Q = 85° and ∠R = 65°. Points S and T are on the sides PQ and PR, respectively such that ∠STR = 95° and the ratio of the QR and ST is 9 : 5. If PQ = 21.6 cm, then the length of PT is: |
| A. | 12 cm |
| B. | 10.5 cm |
| C. | 9 cm |
| D. | 9.6 cm |
| Answer» B. 10.5 cm | |
| 808. |
In ΔABC, P is a point on BC such that BP ∶ PC = 3 ∶ 4 and Q is the midpoint of BP. Then ar(ΔABQ) ∶ ar(ΔABC) is equal to∶ |
| A. | 3 ∶ 8 |
| B. | 2 ∶ 7 |
| C. | 1 ∶ 4 |
| D. | 3 ∶ 14 |
| Answer» E. | |
| 809. |
From a point P outside a circle, PAB is a secant and PT is a tangent to the circle, where A, B and T are points on the circle. If PT = 5 cm, PA = 4 cm and AB = x cm, then x is equal to: |
| A. | 2.25 cm |
| B. | 2.45 cm |
| C. | 2.75 cm |
| D. | 1.75 cm |
| Answer» B. 2.45 cm | |
| 810. |
In the given figure, if ∠APO = 35°, then which of the following options is correct? |
| A. | ∠BPO = 35 |
| B. | ∠BPO = 55° |
| C. | ∠APB = 80° |
| D. | ∠APB = 60° |
| Answer» B. ∠BPO = 55° | |
| 811. |
In the triangle ABC, side BC is produced to D, ∠ACD = 100° .If BC = AC, then find ∠ABC. |
| A. | 40° |
| B. | 100° |
| C. | 80° |
| D. | 50° |
| Answer» E. | |
| 812. |
In the figure, a circle touches all the four sides of a quadrilateral ABCD whose sides AB = 6.5 cm, BC = 5.4 cm, and CD = 5.3 cm. The length of AD is: |
| A. | 4.6 cm |
| B. | 5.8 cm |
| C. | 6.2 cm |
| D. | 6.4 cm |
| Answer» E. | |
| 813. |
In ΔABC, ∠A = 54°. If I is the incentre of the triangle, then the measure of ∠BIC is: |
| A. | 68° |
| B. | 54° |
| C. | 117° |
| D. | 148° |
| Answer» D. 148° | |
| 814. |
D and E are points on sides AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 1 : 2 and area of ΔADE is 3 sq. cm, what is the area (in sq. cm) of quadrilateral BDEC? |
| A. | 24 |
| B. | 21 |
| C. | 27 |
| D. | 30 |
| Answer» B. 21 | |
| 815. |
In Quadrilateral ADEF measure of angle E is 90°. If tan D = 4/3, and DE = 6 cm, then what is the length (in cm) of side EF? |
| A. | 10 |
| B. | 5 |
| C. | 8 |
| D. | 4 |
| Answer» D. 4 | |
| 816. |
ΔABC is similar to ΔPQR. If ratio of perimeters of ΔABC and ΔPQR is 3 ∶ 7 and if PQ = 21 cm, then the length of AB (in cm) is? |
| A. | 6 |
| B. | 14 |
| C. | 9 |
| D. | 18 |
| Answer» D. 18 | |
| 817. |
In an equilateral triangle ABC, D, E, F are the mid points of AB, BC and AC respectively.The quadrilateral BEFD is a |
| A. | Square |
| B. | Rectangle |
| C. | Trapezium |
| D. | Rhombus |
| Answer» E. | |
| 818. |
If angles of a triangle are in the ration of 2 : 3 : 4, then the measure of the smallest angle is: |
| A. | 30° |
| B. | 50° |
| C. | 40° |
| D. | 20° |
| Answer» D. 20° | |
| 819. |
Find the cost of polishing a semi-circular table of diameter 3.5 m. if the rate of polishing is Rs. 10/m2 \(\left( {take\;\pi = \frac{{22}}{7}} \right)\). |
| A. | Rs. 38.5 |
| B. | Rs. 48.13 |
| C. | Rs. 45.5 |
| D. | Rs. 36.57 |
| Answer» C. Rs. 45.5 | |
| 820. |
In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR? |
| A. | 50 |
| B. | 60 |
| C. | 80 |
| D. | 100 |
| Answer» D. 100 | |
| 821. |
In ΔABC, ∠A : ∠B : ∠C = 3 : 3 : 4. A line parallel to BC is drawn which touches AB and AC at points P and Q respectively. What is the value of ∠AQP - ∠APQ? |
| A. | 12° |
| B. | 18° |
| C. | 24° |
| D. | 36° |
| Answer» C. 24° | |
| 822. |
In a triangle ABC, one of the angles is average of the remaining two angles. Which of the following is always true about the triangle ABC? |
| A. | Isosceles triangle |
| B. | Equilateral traingle |
| C. | One of its angle measures 60° |
| D. | Right angled triangle |
| Answer» D. Right angled triangle | |
| 823. |
A(1, 2), B(a, -26), C(13, -14) and D(6, 14) s are the vertices of a parallelogram, taken in order, find the value of a. |
| A. | 14 |
| B. | 8 |
| C. | 22 |
| D. | 6 |
| Answer» C. 22 | |
| 824. |
In ΔABC, AB = AC. If ∠A is twice the sum of other two angles of the triangle, then the measure of \(\frac{1}{2}\) ∠A is: |
| A. | 60° |
| B. | 70° |
| C. | 30° |
| D. | 80° |
| Answer» B. 70° | |
| 825. |
ABC is a triangle right angled at A and AD is perpendicular to BC, If BD = 8 cm and DC = 12.5 cm, then what is AD equal to? |
| A. | 7.5 cm |
| B. | 8.5 cm |
| C. | 9 cm |
| D. | 10 cm |
| Answer» E. | |
| 826. |
In the given figure, AC and DE are perpendicular to tangent CB. AB passes through centre O of the circle whose radius is 20 cm. If AC = 36 cm, what is the length (in cm) of DE? |
| A. | 4 |
| B. | 6 |
| C. | 2 |
| D. | 8 |
| Answer» B. 6 | |
| 827. |
If PL, QM and RN are the altitudes of triangle PQR whose orthocenter is O, then Q is the orthocenter of the triangle? |
| A. | OPQ |
| B. | OQR |
| C. | PLR |
| D. | OPR |
| Answer» E. | |
| 828. |
Consider the following diagram as shown in figure in which AB is the tangent to the circle. Find the length of OQ (in cm) if the measure of largest chord of that circle is 6 cm and PQ is 4 cm. |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |
| 829. |
In the given figure, PB is one - third AB and BQ is one - third BC. If area of BPDQ is 20 cm2, then what is the area (cm2) of ABCD? |
| A. | 45 |
| B. | 30 |
| C. | 40 |
| D. | 60 |
| Answer» E. | |
| 830. |
Point P (8, 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x? |
| A. | -11 |
| B. | 11 |
| C. | 7 |
| D. | -7 |
| Answer» C. 7 | |
| 831. |
In the following figure, AB ⊥ BD. C is joined with P and is produced to E. Then the value of x is |
| A. | 18° |
| B. | 22° |
| C. | 25° |
| D. | None of the above |
| Answer» C. 25° | |
| 832. |
In a right angle triangle, If the difference between the other two angles is 20°. All three angles of the triangle are : |
| A. | 35°, 55°, 90° |
| B. | 25°, 65°, 90° |
| C. | 40°, 55°, 85° |
| D. | 30°, 50°, 90° |
| Answer» B. 25°, 65°, 90° | |
| 833. |
AB a diameter of a circle with centre O. The tangent at a point C on the circle meets AB produced at Q. If ∠CAB = 42°, then what is the measure of ∠CQA? |
| A. | 5° |
| B. | 7° |
| C. | 17° |
| D. | 6° |
| Answer» E. | |
| 834. |
Point P is the midpoint of segment AB. Co-ordinates of P are (3, 1) and B are (5, -4). What are the co-ordinates of point A? |
| A. | (-1, 7) |
| B. | (1, -7) |
| C. | (1, 6) |
| D. | (-1, -7) |
| Answer» D. (-1, -7) | |
| 835. |
AB || CD and PQ is the transversal meeting AB and CD at L and M, respectively. If ∠ ALP = 110°, then ∠ LMD = _____. |
| A. | 110° |
| B. | 100° |
| C. | 70° |
| D. | 60° |
| Answer» D. 60° | |
| 836. |
Find the point on the X-axis which is equidistant from the point (12, 5) and (3, -4) |
| A. | (8, 0) |
| B. | (6, 0) |
| C. | (2, 0) |
| D. | (4, 0) |
| Answer» B. (6, 0) | |
| 837. |
In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR? |
| A. | 36 |
| B. | 54 |
| C. | 72 |
| D. | 216 |
| Answer» C. 72 | |
| 838. |
In a quadrilateral ABCD, ∠C = 102° and ∠D = 58°. The bisectors of ∠A and ∠B meet at P. What is the measure of ∠APB? |
| A. | 62° |
| B. | 78° |
| C. | 80° |
| D. | 100° |
| Answer» D. 100° | |
| 839. |
PQ is a straight line of 13 units length. If P has the co-ordinates (2, 5) and Q has the co-ordinates (x, -7), then the value of x is - |
| A. | -7 |
| B. | 3 |
| C. | 13 |
| D. | 7 |
| Answer» E. | |
| 840. |
If M is the midpoint between - 4 and 2, then write the integer for M? |
| A. | -1 |
| B. | -2 |
| C. | 0 |
| D. | 1 |
| Answer» B. -2 | |
| 841. |
ΔABC is similar to ΔDEF. Length of AB is 12 cm and length of the corresponding side DE is 8 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF? |
| A. | 9 : 4 |
| B. | 4 : 9 |
| C. | 3 : 2 |
| D. | 2 : 3 |
| Answer» D. 2 : 3 | |
| 842. |
In the figure given below, SPT is a tangent to the circle at P and O is the centre of the circle. If ∠QPT = α, then what is ∠ POQ equal to? |
| A. | α |
| B. | 2α |
| C. | 90° - α |
| D. | 180° - 2α |
| Answer» C. 90° - α | |
| 843. |
If the centroid of triangle ABC is G and BG = 9 cm, then what will be the length (in cm) of median BE? |
| A. | 12 |
| B. | 14 |
| C. | 15 |
| D. | 13.5 |
| Answer» E. | |
| 844. |
If the length of the transverse tangent is 8 cm, then calculate the centre distance (in cm) of the two circles with radii 7 cm and 3 cm. |
| A. | √100 |
| B. | 6 |
| C. | √164 |
| D. | √48 |
| Answer» D. √48 | |
| 845. |
In a ΔABC, internal bisectors of ∠B and ∠C intersect at O, if ∠BOC = 108°, then the value of ∠BAC is: |
| A. | 12° |
| B. | 24° |
| C. | 36° |
| D. | 48° |
| Answer» D. 48° | |
| 846. |
If the angles of a triangle are in the ratio 4 : 5 : 6, find the value of the smallest angle?A. 36°B. 48°C. 12°D. 24° |
| A. | B |
| B. | D |
| C. | A |
| D. | C |
| Answer» B. D | |
| 847. |
In ΔABC, ∠A = 72°. Its sides AB and AC are produced to the points D and E respectively. If the bisectors of the ∠CBD and ∠BCE meet at point O, then ∠BOC is equal to: |
| A. | 32° |
| B. | 16° |
| C. | 54° |
| D. | 106° |
| Answer» D. 106° | |
| 848. |
In the given figure, MP is tangent to a circle with centre A and NQ is a tangent to a circle with centre B. If MP = 15 cm. NQ = 8 cm. PA = 17 cm and BQ = 10 cm, then AB is: |
| A. | 23 cm |
| B. | 13.5 cm |
| C. | 28 cm |
| D. | 14 cm |
| Answer» E. | |
| 849. |
If a triangle has two vertices (-3, 1) and (0, -2) and the nucleus is the origin, then the third vertex is (α, β). What is the value of (2α - β)? |
| A. | 5 |
| B. | 4 |
| C. | 6 |
| D. | 3 |
| Answer» B. 4 | |
| 850. |
How many lines of symmetry does a rectangle have? |
| A. | 3 |
| B. | 1 |
| C. | 2 |
| D. | 0 |
| Answer» D. 0 | |