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.
| 851. |
If the given figure, PQRS is a parallelogram and U is the midpoint of QR. If PQ = 4 cm, then what is the value of PT (in cm)? |
| A. | 6 |
| B. | 6.5 |
| C. | 7.5 |
| D. | 8 |
| Answer» E. | |
| 852. |
ABCD is a trapezium in which AB||DC. If ∠A = 102°, then ∠D =______. |
| A. | 51° |
| B. | 68° |
| C. | 78° |
| D. | 64° |
| Answer» D. 64° | |
| 853. |
PQRS is a parallelogram. Side PQ is produced to T. IF ∠QRS = 125°, then ∠RQT =_____. |
| A. | 125° |
| B. | 55° |
| C. | 70° |
| D. | 130° |
| Answer» B. 55° | |
| 854. |
O, G, I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are identical? |
| A. | O and I only |
| B. | O and G only |
| C. | O, G, I and H |
| D. | O, G and H only |
| Answer» D. O, G and H only | |
| 855. |
In the given figure, AOB is a straight line. ∠AOC = 67° and OD is the bisector of ∠BOC. What is the value of ∠BOD in degrees? |
| A. | 56.5° |
| B. | 55° |
| C. | 55.5° |
| D. | 56° |
| E. | 58° |
| Answer» B. 55° | |
| 856. |
In ΔPQR, PQ = 24 cm and ∠Q = 58°. S and T are the points on side PQ and PR, respectively, such that ∠STR = 122°.If PS = 14 cm and PT = 12 cm, then the length of RT is: |
| A. | 14.8 cm |
| B. | 16.4 cm |
| C. | 15 cm |
| D. | 16 cm |
| Answer» E. | |
| 857. |
ABCD is a rhombus. A straight line through C cuts AD produced at P and AB produced at Q. If DP = \(\dfrac{1}{2}\) AB then the ratio of the length of BQ and AB is |
| A. | 2 ∶ 1 |
| B. | 1 ∶ 2 |
| C. | 1 ∶ 1 |
| D. | 3 ∶ 1 |
| Answer» B. 1 ∶ 2 | |
| 858. |
Find the value of x in the given figure where PA is parallel to QC |
| A. | 75° |
| B. | 185° |
| C. | 285° |
| D. | 245° |
| Answer» D. 245° | |
| 859. |
Let ΔABC ~ ΔQPR and ar(∆ABC)/ar(∆PQR) = 4/25. If AB = 12 cm, BC = 8 cm and AC = 10 cm, then QP is equal to: |
| A. | 30 |
| B. | 20 |
| C. | 18 |
| D. | 15 |
| Answer» B. 20 | |
| 860. |
In ΔABC, ∠C = 60°, ∠A = 75°, AD ⊥ BC, where D is a point on BC, BE ⊥ AC at E, where E is a point on AC. AD and BE intersect each other at H. What is the measure of ∠CHD? |
| A. | 60° |
| B. | 55° |
| C. | 50° |
| D. | 45° |
| Answer» E. | |
| 861. |
PRT is a tangent to a circle with centre O, at the point R on it. Diameter SQ of the circle is produced to meet the tangent at P and QR is jointed. If ∠QRP = 28°, then the measure of ∠SPR is: |
| A. | 62° |
| B. | 32° |
| C. | 29° |
| D. | 34° |
| Answer» E. | |
| 862. |
In the given figure, PQRS is a square and SRT is an equilateral triangle. What is the value (in degrees) of ∠SOR? |
| A. | 45 |
| B. | 55 |
| C. | 60 |
| D. | 75 |
| Answer» E. | |
| 863. |
A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number of circles passing through the points A, B, C is: |
| A. | 2 |
| B. | 3 |
| C. | 0 |
| D. | 1 |
| Answer» D. 1 | |
| 864. |
In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR? |
| A. | 80° |
| B. | 100° |
| C. | 110° |
| D. | 70° |
| Answer» D. 70° | |
| 865. |
A chord of length 120 cm is at a distance of 32 cm from the Centre of a circle. What is the radius (in cm) of the circle? |
| A. | 96 |
| B. | 34 |
| C. | 72 |
| D. | 68 |
| Answer» E. | |
| 866. |
For \(\triangle PQR, PQ = (4 - 0.270) \ cm, QR = (2 + 1.732) \ cm\) and \(PR = (1.35 + 2.381) \ cm\), then the name of the angle maximum measure is |
| A. | ∠PQR |
| B. | ∠PRQ |
| C. | ∠QPR |
| D. | Can't be determined |
| Answer» D. Can't be determined | |
| 867. |
if in two \(\Delta \)ABC and \(\Delta \)PQR, \(\frac{{AB}}{{QR}} = \frac{{BC}}{{PR}} = \frac{{CA}}{{PQ}}\), then which of the following is true? |
| A. | ΔPQR ~ ΔCAB |
| B. | ΔQRP ~ ΔABC |
| C. | ΔCBA ~ ΔPQR |
| D. | ΔBCA ~ ΔPQR |
| Answer» C. ΔCBA ~ ΔPQR | |
| 868. |
In the given figure. PQ || RS. ∠AEF = 95°. ∠BHS = 110° then ∠ABC = _____. |
| A. | 35° |
| B. | 10° |
| C. | 25° |
| D. | 15° |
| Answer» D. 15° | |
| 869. |
In triangle ABC, D and E are two points on the side AB and AC respectively so that DE || BC and AD/BD = 3/4. The ratio of the area of trapezium DECB to the area of ∆ABC is: |
| A. | 49 : 33 |
| B. | 49 : 40 |
| C. | 40 : 49 |
| D. | 33 : 49 |
| E. | none of these |
| Answer» D. 33 : 49 | |
| 870. |
AB and CD are the diameters of a circle which intersect at P. Join AC, CB, BD and DA. If ∠PAD = 60°, then what is ∠BPD equal to? |
| A. | 30° |
| B. | 60° |
| C. | 90° |
| D. | 120° |
| Answer» E. | |
| 871. |
For a pair of similar triangles shown in the figure, the ratio of the corresponding sides of the two triangles is √2 : 1. If the area of BAC is 1000 cm2, then what is the area of RAQ in sq. cm? |
| A. | 500 |
| B. | 4 |
| C. | 100 |
| D. | 5 |
| Answer» B. 4 | |
| 872. |
If the ratio of two supplementary angles is 13 : 5, then find the difference between the two.A. 60°B. 70°C. 80°D. 120° |
| A. | C |
| B. | B |
| C. | D |
| D. | A |
| Answer» B. B | |
| 873. |
It is given that ΔABC ∼ ΔYZX and Ar ΔABC : Ar ΔXYZ = 256 : 25. If AB = 12 cm, BC = 10 cm, CA = 15 cm, then what is the value of YZ (in cm)? |
| A. | 10/3 |
| B. | 75/16 |
| C. | 25/8 |
| D. | 15/4 |
| Answer» E. | |
| 874. |
In the given figure, AD is bisector of angle ∠CAB and BD is bisector of angle ∠CBF. If the angle at C is 34∘, the angle ∠ADB is: |
| A. | 34∘ |
| B. | 16∘ |
| C. | 17∘ |
| D. | 32∘ |
| Answer» D. 32∘ | |
| 875. |
Consider the following two pointsM (2, 5, –3) and N (–3, 1, 4)The distance from the origin to the mid-point of the line MN will be nearly |
| A. | 3.1 units |
| B. | 2.3 units |
| C. | 1.5 units |
| D. | 0.7 units |
| Answer» B. 2.3 units | |
| 876. |
A circle touches the side BC of ΔABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of ΔABC = 26.4 cm, then the length of AQ is; |
| A. | 13.2 cm |
| B. | 17.6 cm |
| C. | 15.4 cm |
| D. | 8.8 cm |
| Answer» B. 17.6 cm | |
| 877. |
Choose the CORRECT option about the two tangents drawn to the circle from the external point?(1) The tangents subtend equal angles at the centre of the circle.(2) The tangents drawn from the external point to a circle are equal in length.(3) The tangents are equally inclined to the segment which joins the centre to that point. |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1, 2 and 3 |
| D. | 1 and 3 only |
| Answer» D. 1 and 3 only | |
| 878. |
ABCD is an isoceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm2) of trapezium? |
| A. | 36 |
| B. | 44 |
| C. | 88 |
| D. | 144 |
| Answer» C. 88 | |
| 879. |
Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of right-angled isosceles triangles. Their areas are H and A respectively. A/H is equal to: |
| A. | 1/√2 |
| B. | 1/2√2 |
| C. | 1/2 |
| D. | 1/4 |
| Answer» D. 1/4 | |
| 880. |
In a triangle PQR, point X is on PQ and point Y is on PR such that XP = 1.5 units, XQ = 6 units, PY = 2 units and YR = 8 units. Which of the following are correct?1. QR = 5XY2. QR is parallel to XY3. Triangle PYX is similar to triangle PRQSelect the correct answer using the code given below. |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1 and 3 only |
| D. | 1, 2 and 3 |
| Answer» E. | |
| 881. |
In ΔABC, ∠A = 90°, AB = 16 cm and AC = 12 cm. D is the midpoint of AC and DE ⊥ CB at E. What is the area (in cm2) of ΔCDE? |
| A. | 7.68 |
| B. | 6.25 |
| C. | 8.64 |
| D. | 5.76 |
| Answer» D. 5.76 | |
| 882. |
In ΔABC, the sides AB and AC are extended to P and Q, respectively. The bisectors of ∠PBC and ∠QCB intersect at a point R. If ∠R = 66°, then the measure of ∠A is∶ |
| A. | 48° |
| B. | 24° |
| C. | 36° |
| D. | 72° |
| Answer» B. 24° | |
| 883. |
In ΔABC, ∠A = 66°. AB and AC are produced to points D and E, respectively. If the bisectors of angle CBD and angle BCE meet at the point O, then ∠BOC is equal to: |
| A. | 57° |
| B. | 93° |
| C. | 114° |
| D. | 66° |
| Answer» B. 93° | |
| 884. |
PAQ is a tangent to a circle with centre O, at a point A on it. AB is a chord such that ∠BAQ = x° (x < 90°). C is a point on the major arc AB such that ∠ACB = y°. If ∠ABO = 32°, then the value of x + y is: |
| A. | 112° |
| B. | 98° |
| C. | 116° |
| D. | 110° |
| Answer» D. 110° | |
| 885. |
ABCD is a cyclic quadrilateral, ∠DBA = 50° and ∠ADB = 33°, then the measure of ∠BCD is |
| A. | 83° |
| B. | 80° |
| C. | 75° |
| D. | 60° |
| Answer» B. 80° | |
| 886. |
In a ΔABC, D and E are two points on side AB and BC, respectively such that AD : DB = 2 : 3 and DE || AC. If the area of ΔBDE is equal to 18 cm2, then what is the area(in cm2) of ΔABC? |
| A. | 45 |
| B. | 40.5 |
| C. | 50 |
| D. | 54 |
| Answer» D. 54 | |
| 887. |
Find the value of θ : |
| A. | 15° |
| B. | 60° |
| C. | 90° |
| D. | 45° |
| Answer» B. 60° | |
| 888. |
If each interior angle of a regular polygon is 140°, then the number of vertices of the polygon is equal to |
| A. | 10 |
| B. | 9 |
| C. | 8 |
| D. | 7 |
| Answer» C. 8 | |
| 889. |
In ΔABC and ΔDEF, if AB = EF, BC = DE and CA = FD, then |
| A. | ΔABC ≅ ΔEFD |
| B. | ΔABC ≅ ΔDFE |
| C. | ΔABC ≅ ΔDEF |
| D. | ΔABC ≅ ΔFED |
| Answer» E. | |
| 890. |
A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is |
| A. | 80° |
| B. | 60° |
| C. | 30° |
| D. | 90° |
| Answer» D. 90° | |
| 891. |
A circle is with center O. Two tangents AP and AQ are drawn from an external point A. If ∠POQ is equal to 118°. Then find the ∠PAQ: |
| A. | 112° |
| B. | 62° |
| C. | 98° |
| D. | 72° |
| Answer» C. 98° | |
| 892. |
In ΔXYZ, L and M are the middle points of the sides XY and XZ, respectively, R is a point on the segment LM, such that LR : RM = 1 : 2, If LR = 3 cm, then YZ is equal to: |
| A. | 19 cm |
| B. | 17 cm |
| C. | 18 cm |
| D. | 16 cm |
| Answer» D. 16 cm | |
| 893. |
ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct?1. The area of triangle ABC is equal to four times the area of triangle BED2. The area of triangle ADC is twice the area of the triangle BEDSelect 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 | |
| 894. |
In ΔABC, AB = AC and AL is perpendicular to BC at L. In ΔDEF, DE = DF and DM is perpendicular to EF at M. If (area of ΔABC) : (are of ΔDEF) = 9 : 25 and ∠BAC = ∠EDF, then \(\frac{{DM\; + \;AL}}{{DM - AL}}\) is equal to: |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 4 |
| Answer» E. | |
| 895. |
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 125° then ∠BAC is equal to: |
| A. | 20° |
| B. | 30° |
| C. | 60° |
| D. | 35° |
| Answer» E. | |
| 896. |
In the following figure PQ is parallel to BC and PQ : BC = 1 : 3. If the area of the triangle ABC is 144 cm2, then what is the area of the ΔAPQ |
| A. | 16 cm2 |
| B. | 9 cm2 |
| C. | 36 cm2 |
| D. | 48 cm2 |
| Answer» B. 9 cm2 | |
| 897. |
If ∠BCD = 82°, then ∠BAC = ? |
| A. | 85° |
| B. | 82° |
| C. | 83° |
| D. | 77° |
| Answer» C. 83° | |
| 898. |
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 118°. What is the measure of ∠BAC? |
| A. | 32° |
| B. | 28° |
| C. | 45° |
| D. | 30° |
| Answer» C. 45° | |
| 899. |
D is the midpoint of side BC of ΔABC. Point E lies on AC such that CE = AC/3. BE and AD intersect at G. What is AG/GD? |
| A. | 3 : 1 |
| B. | 4 ∶ 1 |
| C. | 5 : 2 |
| D. | 8 : 3 |
| Answer» C. 5 : 2 | |
| 900. |
In trapezium ABCD, AB∥DC. The sides AD and BC are produced to meet at E. AB = 15 cm, CD = 10 cm, AD = 4 cm and BC = 5 cm, then DE = ? |
| A. | 9 cm |
| B. | 10 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» E. | |