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.
| 601. |
In the given figure, PQRS is a square of side 6 cm. What is the value (in cm) of the radius of the circle?(where M is the point of contact of the tangent QS and the circle). |
| A. | 4.25 |
| B. | 3.75 |
| C. | 3.5 |
| D. | 4.55 |
| Answer» C. 3.5 | |
| 602. |
ABCD is a cyclic quadrilateral. The bisectors of the angles A, B, C and D cut the circle at P, Q, R and S respectively. What is ∠PQR + ∠RSP equal to? |
| A. | 90° |
| B. | 135° |
| C. | 180° |
| D. | 270° |
| Answer» D. 270° | |
| 603. |
If the adjacent angles of a parallelogram are in the ratio 3 ∶ 2, then the larger angle is: |
| A. | 72° |
| B. | 108° |
| C. | 54° |
| D. | 36° |
| Answer» C. 54° | |
| 604. |
In the given figure, if AC, DE are parallel and ∠CAB = 38∘, then the value of ∠ABC + 5∠CBD is: |
| A. | 218∘ |
| B. | 158∘ |
| C. | 178∘ |
| D. | 196∘ |
| Answer» B. 158∘ | |
| 605. |
If O is the orthocentre of ΔABC and ∠BOC = 100°, the measure of ∠BAC is |
| A. | 100° |
| B. | 180° |
| C. | 80° |
| D. | 200° |
| Answer» D. 200° | |
| 606. |
At what point does the line 6x - 5y = -12 cuts the x-axis? |
| A. | (2, 0) |
| B. | (0, 2) |
| C. | (-2, 0) |
| D. | (0, -2) |
| Answer» D. (0, -2) | |
| 607. |
A tangent AB is drawn from an exterior point A that touches the circle at point B. Another line AD is drawn from A, which intersects the circle at points C and D, such that CD = 5 cm. If the sum of the lengths of tangent AB and line AD is 15 cm, then find the length of the line AD. |
| A. | 8 cm |
| B. | 9 cm |
| C. | 10 cm |
| D. | 11 cm |
| Answer» C. 10 cm | |
| 608. |
If lines AB, AC, AD and AE are parallel to a line l, then the points A, B, C, D and E ______ |
| A. | forms a quadrilateral |
| B. | are collinear |
| C. | forms a pentagon |
| D. | forms a triangle |
| Answer» C. forms a pentagon | |
| 609. |
If angle AEB = 140°, what is the measure of angle AED? |
| A. | 140° |
| B. | 220° |
| C. | 40° |
| D. | 180° |
| Answer» D. 180° | |
| 610. |
Find the co-ordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 1: 3 internally. |
| A. | (-5, -1) |
| B. | (5, -1) |
| C. | (5, 1) |
| D. | (-1, 5) |
| Answer» C. (5, 1) | |
| 611. |
G is the centroid of the triangle ABC, where AB, BC and CA are 7 cm, 24 cm and 25 cm respectively, then BG is: |
| A. | \(4\frac{1}{6}{\rm{\;}}\)cm |
| B. | \(6\frac{1}{3}{\rm{\;}}\)cm |
| C. | \(8\frac{1}{3}{\rm{\;}}\)cm |
| D. | \(5\frac{1}{2}\) cm |
| Answer» D. \(5\frac{1}{2}\) cm | |
| 612. |
One of the quadrants of a circle is split into two equal sectors. What is the angle made at the center by each sector? |
| A. | 90° |
| B. | 180° |
| C. | 45° |
| D. | 30° |
| Answer» D. 30° | |
| 613. |
In ∆ABC, BD ⊥ AC. E is a point on BC such that ∠BEA = x°. If ∠EAC = 38° and ∠EBD = 40°, then the value of x is: |
| A. | 78° |
| B. | 68° |
| C. | 72° |
| D. | 88° |
| Answer» E. | |
| 614. |
ABCDEF is a regular polygon. Two poles at C and D are standing vertically and subtend angles of elevation 30° and 60° at A respectively. What is the ratio of the height of the pole at C to that of the pole at D? |
| A. | 1 : 1 |
| B. | 1 : 2√3 |
| C. | 2√3 : 1 |
| D. | 2 : √3 |
| Answer» C. 2√3 : 1 | |
| 615. |
A cyclic quadrilateral ABCD is such that AB = BC, AD = DC and AC and BD intersect at O. If ∠CAD = 46°, then the measure of ∠AOB is equal to: |
| A. | 84° |
| B. | 86° |
| C. | 80° |
| D. | 90° |
| Answer» E. | |
| 616. |
One of the angles of a parallelogram is 55°, the remaining angles are respectively |
| A. | 105°, 125°, 55° |
| B. | 125°, 55°, 155° |
| C. | 125°, 120°, 55° |
| D. | None of these |
| Answer» E. | |
| 617. |
In which quadrant is the point (–4, –3) located?A. IB. IIC. IIID. IV |
| A. | A |
| B. | B |
| C. | D |
| D. | C |
| Answer» E. | |
| 618. |
If base and hypotenuse of a right triangle are (u2 – v2) and (u2 + v2) respectively and the area of the triangle is 2016 square units, then the perimeter of triangle may be |
| A. | 224 units |
| B. | 288 units |
| C. | 448 units |
| D. | 576 units |
| Answer» C. 448 units | |
| 619. |
Consider the following statements:1. An isosceles trapezium is always cyclic.2. Any cyclic parallelogram is a rectangle.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 | |
| 620. |
Find equation of the perpendicular bisector of segment joining the points (2, 6) and (4, 0)? |
| A. | x + 3y = 6 |
| B. | x + 3y = -6 |
| C. | x + 4y = 6 |
| D. | x + 4y = -6 |
| Answer» C. x + 4y = 6 | |
| 621. |
Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is |
| A. | 3 : 4 |
| B. | 2 : 3 |
| C. | 5 : 6 |
| D. | 4 : 5 |
| Answer» C. 5 : 6 | |
| 622. |
At what point does the line 2x - 3y = 6 cut the Y axis? |
| A. | (0, 2) |
| B. | (-2, 0) |
| C. | (2, 0) |
| D. | (0, -2) |
| Answer» E. | |
| 623. |
In the figure, L is the centre of the circle, and ML is the perpendicular to LN. If the area of the triangle MLN is 36, then the area of the circle is: |
| A. | 68π |
| B. | 66π |
| C. | 70π |
| D. | 72π |
| Answer» E. | |
| 624. |
In the given figure, O is the center of the circle, ∠CAO = 35° and ∠CBO = 45°. What is the value (in degrees) of ∠AOB? |
| A. | 90° |
| B. | 110° |
| C. | 160° |
| D. | 130° |
| Answer» D. 130° | |
| 625. |
A famer wants to fence his rectangular field of length 200 m and area 3000 m2. If the cost of fencing per metre is 5 rupees, what is the total cost of fencing in rupees? |
| A. | 500 |
| B. | 1000 |
| C. | 2150 |
| D. | 2500 |
| Answer» D. 2500 | |
| 626. |
D, E and F are respectively the midpoints of the sides of ΔABC. Which of the following is true? |
| A. | Area of ΔDEF = Area of ΔABC |
| B. | Area of ΔDEF = 1/2 Area of ΔABC |
| C. | Area of ΔDEF = 1/3 Area of ΔABC |
| D. | Area of ΔDEF = 1/4 Area of ΔABC |
| Answer» E. | |
| 627. |
If two lines AB and CD intersect at O such that ∠AOC = 5 ∠AOD, then the four angles at O are |
| A. | 40°, 40°, 140°, 140° |
| B. | 30°, 30°, 150°, 150° |
| C. | 30°, 45°, 75°, 210° |
| D. | 60°, 60°, 120°, 120° |
| Answer» C. 30°, 45°, 75°, 210° | |
| 628. |
For triangle ABC, the side BC is extended to D so that CD = AC. If ∠BAD = 109° and ∠ACB = 72° , then the value of ∠ABC is |
| A. | 35° |
| B. | 45° |
| C. | 73° |
| D. | 72° |
| Answer» B. 45° | |
| 629. |
If the measure of the exterior angle of a regular polygon is 72° then how many sides does it have? |
| A. | 6 |
| B. | 8 |
| C. | 9 |
| D. | 5 |
| Answer» E. | |
| 630. |
ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 and BC = 24 cm then radius of circle is |
| A. | 10 cm |
| B. | 15 cm |
| C. | 12 cm |
| D. | 14 cm |
| Answer» C. 12 cm | |
| 631. |
ABC is a right angled triangle. ∠BAC = 90° and ∠ACB = 60°. What is the ratio of the circumradius of the triangle to the side AB? |
| A. | 1 : 2 |
| B. | 1 : √3 |
| C. | 2 : √3 |
| D. | 2 : 3 |
| Answer» C. 2 : √3 | |
| 632. |
For the given figure, find the values of x and y, where x - y = 40° : |
| A. | 90°, 70° |
| B. | 110°, 50° |
| C. | 100°, 60° |
| D. | None of the above |
| Answer» D. None of the above | |
| 633. |
PQRS is a cyclic quadrilateral in which PQ = 14.4 cm, QR = 12.8 cm and SR = 9.6 cm. If PR bisects QS, what is the length of PS? |
| A. | 16.4 cm |
| B. | 13.6 cm |
| C. | 19.2 cm |
| D. | 15.8 cm |
| Answer» D. 15.8 cm | |
| 634. |
In a ΔABC, the bisectors of ∠B and ∠C meet at point O within the triangle. If ∠A = 116°, then the measure of ∠BOC is: |
| A. | 116° |
| B. | 148° |
| C. | 85° |
| D. | 74° |
| Answer» C. 85° | |
| 635. |
In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)? |
| A. | 60 |
| B. | 150 |
| C. | 105 |
| D. | 115 |
| Answer» C. 105 | |
| 636. |
In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value (in cm) of PB? |
| A. | 8 |
| B. | 12 |
| C. | 6 |
| D. | 15 |
| Answer» C. 6 | |
| 637. |
If ABC is a right-angled triangle with AC as its hypotenuse, then which one of the following is correct? |
| A. | AC3 < AB3 + BC3 |
| B. | AC3 > AB3 + BC3 |
| C. | AC3 ≤ AB3 + BC3 |
| D. | AC3 ≥ AB3 + BC3 |
| Answer» C. AC3 ≤ AB3 + BC3 | |
| 638. |
G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to: |
| A. | 9 cm |
| B. | 4 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» E. | |
| 639. |
Find the number of quadrilaterals in the given figure: |
| A. | 11 |
| B. | 6 |
| C. | 8 |
| D. | 9 |
| Answer» B. 6 | |
| 640. |
ABC is a right-angled triangle, right angled at A. AD is drawn perpendicular to BC from A. Then AB2 is equal to |
| A. | AC.CD |
| B. | BC.BD |
| C. | BC.CD |
| D. | BD.CD |
| Answer» C. BC.CD | |
| 641. |
ABCD is a parallelogram. If ∠A = 135°, then ∠B + ∠D = _____. |
| A. | 90° |
| B. | 80° |
| C. | 85° |
| D. | 75° |
| Answer» B. 80° | |
| 642. |
In ΔPRQ, ∠P = 90° , S and T are the mid points of sides PR and PQ respectively. What is the value of RQ2/(QS2 + RT2)? |
| A. | \(\frac{1}{2}\) |
| B. | \(\frac{2}{3}\) |
| C. | \(\frac{4}{5}\) |
| D. | \(\frac{3}{4}\) |
| Answer» D. \(\frac{3}{4}\) | |
| 643. |
In triangle ABC, ∠C = 90° and CD is the perpendicular from C to AB. If (CD)-2 = (BC)-2 + (CA)-2, then which one of the following is correct? |
| A. | BC.CD = AB.CA |
| B. | AB.BC = CD.CA |
| C. | CA2 + CB2 = 2(AD2 + CD2) |
| D. | AB.CD = BC.CA |
| Answer» E. | |
| 644. |
In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3 : 5 and AC = 40, then what is the value of DE? |
| A. | 3√15 |
| B. | 5√15 |
| C. | 6√15 |
| D. | 4√15 |
| Answer» E. | |
| 645. |
If there are 4 lines in a plane, then what cannot be the number of points of intersection of these lines? |
| A. | 0 |
| B. | 5 |
| C. | 4 |
| D. | 7 |
| Answer» E. | |
| 646. |
If a pizza is cut into eight equal parts, then what is the angle made by each sector? |
| A. | 180° |
| B. | 45° |
| C. | 90° |
| D. | 30° |
| Answer» C. 90° | |
| 647. |
PQR is a triangle such that PQ = PR. RS and QT are the median to the sides PQ and PR respectively. If the medians RS and QT intersect at right angle, then what is the value of (PQ/QR)2? |
| A. | 3/2 |
| B. | 5/2 |
| C. | 2 |
| D. | None of these |
| Answer» C. 2 | |
| 648. |
In a ΔABC, ∠A = 90°, if BM and CN are two medians, \(\frac{{B{M^2} + C{N^2}}}{{B{C^2}}}\) is equal to: |
| A. | \(\frac{5}{4}\) |
| B. | \(\frac{3}{5}\) |
| C. | \(\frac{3}{4}\) |
| D. | \(\frac{4}{5}\) |
| Answer» B. \(\frac{3}{5}\) | |
| 649. |
Chord AB of a circle is produced to a point P, and C is a point on that circle such that PC is a tangent to the circle. If PC = 18 cm, and BP = 15 cm, then AB is equal to∶ |
| A. | 8.5 cm |
| B. | 6.2 cm |
| C. | 5.8 cm |
| D. | 6.6 cm |
| Answer» E. | |
| 650. |
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 = 100°, then ∠OAB is equal to: |
| A. | 45° |
| B. | 70° |
| C. | 50° |
| D. | 35° |
| Answer» D. 35° | |