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.
| 501. |
In ΔABC, external bisector of ∠A is parallel to BC. If BC = 4 cm and AB = 3 cm, then the length of AC will be |
| A. | 5 cm |
| B. | 4 cm |
| C. | 3 cm |
| D. | None of the above |
| Answer» D. None of the above | |
| 502. |
Five angles of a hexagon measure 116° each. What is the measure of the remaining angle? |
| A. | 140° |
| B. | 126° |
| C. | 116° |
| D. | 152° |
| Answer» B. 126° | |
| 503. |
In a circle two equal and parallel chords are 6 cm apart and lie on the opposite sides of the centre of the circle. If the length of each chord is 8 cm, then the radius of the circle is: |
| A. | 3 cm |
| B. | 7 cm |
| C. | 5 cm |
| D. | 2 cm |
| Answer» D. 2 cm | |
| 504. |
In a circle, chords PQ and TS are produced to meet at R. if RQ = 14.4 cm, PQ = 11.2 cm, and SR = 12.8 cm, then the length of chord TS is: |
| A. | 18 cm |
| B. | 16 cm |
| C. | 14.2 cm |
| D. | 112.4 cm |
| Answer» C. 14.2 cm | |
| 505. |
If the radius (r) of a circle is increased by ‘x’ units, what is the number of units by which the circumference of the circle is increased?A. πB. 2πC. 2πrD. 2πx |
| A. | D |
| B. | C |
| C. | B |
| D. | A |
| Answer» B. C | |
| 506. |
In the given figure, if \(\frac{y}{x} = 6\) and \(\frac{z}{x} = 5\), then what is the value of x? |
| A. | 45° |
| B. | 30° |
| C. | 15° |
| D. | 10° |
| Answer» D. 10° | |
| 507. |
ΔABC is an isosceles right – angled triangle having ∠C = 90°. If D is any point on AB, then AD2 + BD2 is equal to |
| A. | CD2 |
| B. | 2CD2 |
| C. | 3CD2 |
| D. | 4CD2 |
| Answer» C. 3CD2 | |
| 508. |
In ΔABC, OB and OC are the bisectors of ∠B and ∠C respectively. Then the value of ∠BOC is |
| A. | \({90^ \circ } - \frac{1}{2}\angle BAC\) |
| B. | \({180^ \circ } - \frac{1}{2}\angle BAC\) |
| C. | \({90^ \circ } + \frac{1}{2}\angle BAC\) |
| D. | None of the above |
| Answer» D. None of the above | |
| 509. |
In the given figure, ΔABC is right-angled at C and CD ⊥ AB. If AD = 2 cm and AB = 10 cm, then the length of CD is |
| A. | 5 cm |
| B. | 4 cm |
| C. | 3 cm |
| D. | None of the above |
| Answer» C. 3 cm | |
| 510. |
ΔABC ∼ ΔQRP. If the ratio of the area of ΔABC to the area of ΔPQR is 576 ∶ 169, AB = 10 cm, AC = 12 cm and BC = 13 cm, then the length of PR (in cm) is equal to: |
| A. | \(\dfrac{169}{11}\) |
| B. | \(\dfrac{169}{10}\) |
| C. | \(\dfrac{169}{12}\) |
| D. | \(\dfrac{169}{24}\) |
| Answer» E. | |
| 511. |
ΔABC ∼ΔPQR and PQ = 6 cm QR = 8 cm and PR = 10 cm. If ar(ΔABC) ∶ ar(ΔPQR) = 1 ∶ 4, then AB is equal to∶ |
| A. | 4 cm |
| B. | 2 cm |
| C. | 5 cm |
| D. | 3 cm |
| Answer» E. | |
| 512. |
If in the given figure, ∠ACB + ∠BAC = 80∘; ∠BDE = 35∘ ; ∠BCE = 45∘, then the marked angle ∠CED is: |
| A. | 135∘ |
| B. | 120∘ |
| C. | 160∘ |
| D. | 150∘ |
| Answer» D. 150∘ | |
| 513. |
ABCD is a cyclic quadrilateral such that AB is a diametre of the circle circumscribing it and ∠ADC = 160°. What is the measure of the ∠BAC? |
| A. | 65° |
| B. | 60° |
| C. | 70° |
| D. | 75° |
| Answer» D. 75° | |
| 514. |
If the measure of the interior angle of a regular polygon is 60° greater than the measure of its exterior angle then how many sides does it have? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 6 |
| Answer» E. | |
| 515. |
AB is a chord in a circle with centre O. AB is produced to C such that BC is equal to the radius of the circle. C is joined to O and produced to meet the circle at D. If ∠ACD = 32°, then the measure of ∠AOD is ______. |
| A. | 48° |
| B. | 108° |
| C. | 80° |
| D. | 96° |
| Answer» E. | |
| 516. |
In which quadrant both abscissa and ordinate are negative? |
| A. | First |
| B. | Second |
| C. | Third |
| D. | Fourth |
| Answer» D. Fourth | |
| 517. |
PQRS is a cyclic quadrilateral. PR and QS intersect at T. If ∠SPR = 40° and ∠PQS = 80°, then what is the value (in degrees) of ∠PSR? |
| A. | 60° |
| B. | 40° |
| C. | 80° |
| D. | 100° |
| Answer» B. 40° | |
| 518. |
In the given figure, ABC is a triangle. The bisectors of internal DB and external DC interest at D. If ∠BDC = 48°, then what is the value (in degrees) of ∠A? |
| A. | 48 |
| B. | 96 |
| C. | 100 |
| D. | 114 |
| Answer» C. 100 | |
| 519. |
In the given figure PQ is parallel to RS, ∠AEF = 95°, ∠BHS = 110°, and ∠ABC = x°. Then what is the value of x? |
| A. | 15 |
| B. | 25 |
| C. | 30 |
| D. | 35 |
| Answer» C. 30 | |
| 520. |
In the given figure, a square with length of each side x units inscribed in a right-angled triangle. The area of the square (in unit2) is |
| A. | 50 |
| B. | 40 |
| C. | 100 |
| D. | None of the above |
| Answer» D. None of the above | |
| 521. |
ABC is an equilateral triangle. P, Q and R are the midpoints of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 8 cm, then the area ΔPQR is: |
| A. | 4√3 cm2 |
| B. | 8√3 cm2 |
| C. | √3/3 cm2 |
| D. | √3/4 cm2 |
| Answer» B. 8√3 cm2 | |
| 522. |
Consider the figure shown which consist of the triangle ABC which touches the circle with circle with centre at O. which of the following options is CORRECT? |
| A. | AB - CQ = AC + BQ |
| B. | AB + CQ = AC + BQ |
| C. | AB + CQ = AC - BQ |
| D. | None of the above |
| Answer» C. AB + CQ = AC - BQ | |
| 523. |
Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP : PB is 2 : 5, and area of ΔAPQ is 4 sq cm, what is the area of trapezium PQCB? |
| A. | 49 sq cm |
| B. | 45 sq cm |
| C. | 25 sq cm |
| D. | 21 sq cm |
| Answer» C. 25 sq cm | |
| 524. |
If the area of a square field is 2550.25 m2, then its side is: |
| A. | 50 |
| B. | 50.5 |
| C. | 51.5 |
| D. | 52.5 |
| Answer» C. 51.5 | |
| 525. |
ABCD is a cyclic quadrilateral in which ∠A = 67° and ∠B = 92°. What is the difference between the measures of ∠C and ∠D? |
| A. | 27° |
| B. | 29° |
| C. | 25° |
| D. | 19° |
| Answer» D. 19° | |
| 526. |
In ΔABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5cm, BC = 7.5 cm, then AB: AC is: |
| A. | 3 : 5 |
| B. | 4 : 5 |
| C. | 1 : 2 |
| D. | 2 : 1 |
| Answer» E. | |
| 527. |
A linear equation in which its abscissa is half the ordinate and opposite in sign is: |
| A. | 2x = y |
| B. | 2y = -x |
| C. | \(x = \frac{{ - y}}{2}\) |
| D. | \(y = \frac{x}{2}\) |
| Answer» C. \(x = \frac{{ - y}}{2}\) | |
| 528. |
Let ΔABC ~ ΔQPR and arABC = arPQR = 914. If AB = 12 cm, BC = 6 cm and AC = 9 cm, then QP is equal to: |
| A. | 9 cm |
| B. | 8 cm |
| C. | 16 cm |
| D. | 12 cm |
| Answer» E. | |
| 529. |
In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid - point of QR, then what is the perimeter (in cm) of quadrilateral ABPC? |
| A. | 18 |
| B. | 28 |
| C. | 32 |
| D. | 36 |
| Answer» E. | |
| 530. |
In the given figure, QRTS is a cyclic quadrilateral. If PT = 5cm, SQ = 4cm, PS = 6cm and ∠PQR = 63°, then what is the value (in cm) of TR? |
| A. | 3 |
| B. | 7 |
| C. | 9 |
| D. | 15 |
| Answer» C. 9 | |
| 531. |
In the given figure, DE || BC and AD ∶ DB = 5 ∶ 3, then what is the value of (DE/BC)? |
| A. | 5/8 |
| B. | 2/3 |
| C. | 3/4 |
| D. | 5/3 |
| Answer» B. 2/3 | |
| 532. |
In the trapezium ABCD, AB = CD. If then height is 3 units, then the perimeter is _____. |
| A. | 30 |
| B. | 32 |
| C. | 34 |
| D. | 36 |
| Answer» D. 36 | |
| 533. |
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 = 20°, then ∠APB is equal to∶ |
| A. | 25° |
| B. | 50° |
| C. | 20° |
| D. | 40° |
| Answer» E. | |
| 534. |
ΔABC ∼ ΔQPR and AB = 8 cm, BC = 12 cm and AC = 6 cm. If ar(ΔABC) ∶ ar(ΔPQR) = 16 ∶ 25, then RQ is equal to |
| A. | 15 cm |
| B. | 12.5 cm |
| C. | 10 cm |
| D. | 7.5 cm |
| Answer» E. | |
| 535. |
If the sum of the interior angles of a regular polygon be 1080° , the number of the sides of the polygon is: |
| A. | 12 |
| B. | 10 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 536. |
In the given figure, if AB||CD, then the value of x is |
| A. | 26 |
| B. | 23 |
| C. | 13 |
| D. | None of the above |
| Answer» D. None of the above | |
| 537. |
ABCD is a cyclic quadrilateral such that its sides AD and BC produced meet at P and sides AB and DC produced meet at O. If ∠A = 62° and ∠ABC = 74°, then the difference between ∠P and ∠O is: |
| A. | 32° |
| B. | 38° |
| C. | 44° |
| D. | 23° |
| Answer» B. 38° | |
| 538. |
A circle is inscribed in ΔABC, touching AB, BC and AC at the points P, Q and R respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of ΔABC = 32 cm, then PB + AR is equal to∶ |
| A. | 12 cm |
| B. | 13 cm |
| C. | 33/5 cm |
| D. | 38/3 cm |
| Answer» E. | |
| 539. |
In Δ ABC, AB = 2 \(\sqrt{5}\) cm, AC = 10 cm, BC = 4 \(\sqrt{5}\) cm then ∠B is |
| A. | 120° |
| B. | 60° |
| C. | 90° |
| D. | 45° |
| Answer» D. 45° | |
| 540. |
ABCD is a trapezium in which AB is parallel to DC and 2AB = 3DC. The diagonals AC and BD intersect at O. What is the ratio of the area of Δ AOB to that of Δ DOC? |
| A. | 2 ∶ 1 |
| B. | 3 ∶ 2 |
| C. | 4 ∶ 1 |
| D. | 9 ∶ 4 |
| Answer» E. | |
| 541. |
If the angles of a triangle are in the ratio of 1 : 2 : 3 then find the value of the largest angle. |
| A. | 30° |
| B. | 60° |
| C. | 90° |
| D. | 120° |
| Answer» D. 120° | |
| 542. |
In a 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. | 2BC/3 |
| D. | BC/3 |
| Answer» C. 2BC/3 | |
| 543. |
A pair of tangents AB and AC are drawn form a point which is at a distance of 10 cm from the centre O of a circle of radius 6 cm, then the area in cm2 of quadrilateral ABOC, is: |
| A. | 52 |
| B. | 48 |
| C. | 72 |
| D. | 60 |
| Answer» C. 72 | |
| 544. |
Consider the following statements:The orthocenter of a triangle always lie inside the triangleThe centroid of a triangle always lie inside the triangleThe orthocenter of the right angled triangle lies on the triangleThe centroid of a right angled triangle lies on the triangleWhich of the above statements are correct? |
| A. | 1 and 2 |
| B. | 1 and 4 |
| C. | 2 and 3 |
| D. | 2 and 4 |
| Answer» D. 2 and 4 | |
| 545. |
In ΔPQR, a line parallel to side QR cuts the side PQ and PR at points M and N respectively and point M divide PQ in the ratio of 1 : 2. If area of ΔPQR is 360 cm2, then what is the area (in cm2) of quadrilateral MNRQ? |
| A. | 160 |
| B. | 320 |
| C. | 120 |
| D. | 96 |
| Answer» C. 120 | |
| 546. |
ABCDEFGH is a regular octagon inscribed in a circle with centre at 0. The ratio of ∠OAB to ∠AOB is equal to: |
| A. | 4 : 3 |
| B. | 3 : 1 |
| C. | 3 : 2 |
| D. | 8 : 3 |
| Answer» D. 8 : 3 | |
| 547. |
AB and AC are the two tangents to a circle, whose radius is 6 cm. If ∠BAC = 60°, then what is the value (in cm) of √(AB2 + AC2)? |
| A. | 6√6 |
| B. | 4√6 |
| C. | 9√3 |
| D. | 8√3 |
| Answer» B. 4√6 | |
| 548. |
ΔABC ∼ ΔRQP and PQ = 10 cm, QR = 12 cm and RP = 16 cm, If ar(ΔPQR)/ar(ΔABC) = 9/4, then BC is equal to: |
| A. | 6 cm |
| B. | 20/3 cm |
| C. | 8 cm |
| D. | 32/3 cm |
| Answer» C. 8 cm | |
| 549. |
If \(d\left( { - \frac{1}{2},\frac{5}{2}} \right)\) , e(7, 3) and \(f\left( {\frac{7}{2},\frac{7}{2}} \right)\) are the coordinates of the mid-points of sides BC, CA and AB respectively of ΔABC, then the co-ordinates of the vertex C is - |
| A. | (11, 4) |
| B. | (-4, 3) |
| C. | (3, 2) |
| D. | (4, 11) |
| Answer» D. (4, 11) | |
| 550. |
In ΔABC, AB = AC, ∠C = x and the angle A = (5x - 30)°: find the angle B (in degrees). |
| A. | 30° |
| B. | 60° |
| C. | 80° |
| D. | 120° |
| Answer» B. 60° | |