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.
| 1151. |
In a circle of radius 17 cm, a chord is at a distance of 15 cm from the centre of the circle. What is the chord? |
| A. | 8 cm |
| B. | 15 cm |
| C. | 16 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 1152. |
If an angle is eight times its complementary angle, then the measurement of the angle is |
| A. | 20º |
| B. | 40º |
| C. | 80º |
| D. | 60º |
| Answer» D. 60º | |
| 1153. |
If the supplement of an angle is (5/2) of its complement, then find the angle. |
| A. | 10° |
| B. | 15° |
| C. | 20° |
| D. | 30° |
| Answer» E. | |
| 1154. |
If the abscissa of a point is -10 and the ordinate is -7, then the point is: |
| A. | (7, 10) |
| B. | (-7, -10) |
| C. | (10, 7) |
| D. | (-10. -7) |
| Answer» E. | |
| 1155. |
In a ΔABC, ∠BAC = 90° and AD is perpendicular to BC where D is a point on BC. If BD = 4 cm and CD = 5 cm, then the length of AD is equal to: |
| A. | 5√2 cm |
| B. | 2√5 cm |
| C. | 6 cm |
| D. | 4.5 cm |
| Answer» C. 6 cm | |
| 1156. |
ABC is a triangle and D is a point on the side BC. If BC = 12 cm, BD = 9 cm and ∠ADC = ∠BAC, then the length of AC is equal to |
| A. | 5 cm |
| B. | 6 cm |
| C. | 8 cm |
| D. | 9 cm |
| Answer» C. 8 cm | |
| 1157. |
An exterior angle of a triangle is 100º. If one of the opposite interior angles is 30º, then the other two angles of the triangle are |
| A. | 40º, 110º |
| B. | 70º, 80º |
| C. | 60º, 90º |
| D. | 50º, 100º |
| Answer» C. 60º, 90º | |
| 1158. |
In a circle with center O, BC is a chord. Points P and A are on the circle, on the opposite side of BC, such that ∠ PBC = 28° and BP = PC. What is the measure of the inverse angle of BOC? |
| A. | 112° |
| B. | 96° |
| C. | 98° |
| D. | 84° |
| Answer» B. 96° | |
| 1159. |
It is given that ΔABC ~ ΔPRQ and that Area ABC : Area PRQ = 16 : 169. If AB = x, AC = y, BC = z (all in cm), then PQ is equal to: |
| A. | 13x/4 |
| B. | 13z/4 |
| C. | 13x/8 |
| D. | 13y/4 |
| Answer» E. | |
| 1160. |
In ΔPQR, S and T are the mid points of sides PQ and PR respectively. If ∠QPR = 45° and ∠PRQ = 55°, then what is the value (in degrees) of ∠QST? |
| A. | 80 |
| B. | 85 |
| C. | 90 |
| D. | 100 |
| Answer» E. | |
| 1161. |
In a ΔABC, the bisectors of ∠B and ∠C meet at point O within the triangle. O is the incentre of ΔABC. If ∠A = 132°, then the measure of ∠BOC is: |
| A. | 84° |
| B. | 156° |
| C. | 66° |
| D. | 132° |
| Answer» C. 66° | |
| 1162. |
In the figure, AB || DC, ∠ABC = 60° , ∠CEF = 30°, then ∠EFD is: |
| A. | 40° |
| B. | 30° |
| C. | 20° |
| D. | 25° |
| Answer» C. 20° | |
| 1163. |
In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠QPR = 45°, then what is the value (in degrees) of ∠QOR? |
| A. | 67.5 |
| B. | 72 |
| C. | 78.5 |
| D. | 65 |
| Answer» B. 72 | |
| 1164. |
In a circle centered at O, AB is a chord and C is any point on AB such that OC is perpendicular to AB. If the radius of the circle is 10 cm and OC = 6 cm, then the length of the chord is: |
| A. | 8 cm |
| B. | 12 cm |
| C. | 4 cm |
| D. | 16 cm |
| Answer» E. | |
| 1165. |
ΔABC ∼ ΔPRQ and PQ = 4 cm, QR = 7 cm and PR = 8 cm. If ar(ΔABC) : ar(ΔPQR) = 1 : 4, then AC is equal to: |
| A. | 1 cm |
| B. | 3.7 cm |
| C. | 2 cm |
| D. | 4 cm |
| Answer» D. 4 cm | |
| 1166. |
ΔABC is right angled at B. BD is an altitude. If AD = 2 cm and DC = 16 cm, what is the value of AB (in cm)? |
| A. | 8 |
| B. | 6 |
| C. | 9 |
| D. | 12 |
| Answer» C. 9 | |
| 1167. |
Let A(0, -1), B(0, 3) and C(2, 1) be three points. Let Δ1 be the area of the triangle ABC and Δ2 be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A, B and C such that \(\frac{\Delta_1 }{\Delta_2}=\frac{1}{x}\) Find the value of x. |
| A. | 4 |
| B. | 5 |
| C. | 2 |
| D. | 3 |
| Answer» B. 5 | |
| 1168. |
In the given figure, OQ = QR = RT and O is the centre of the circle. What is the value of ∠PTQ? |
| A. | 30 |
| B. | 60 |
| C. | 45 |
| D. | 90 |
| Answer» C. 45 | |
| 1169. |
In ∆ABC, side AB is produced to D so that BD = BC. If ∠B = 60°, ∠A = 70°, Find ∠BDC. |
| A. | 15° |
| B. | 30° |
| C. | 45° |
| D. | 60° |
| Answer» C. 45° | |
| 1170. |
In a triangle PQR, X is a point on PR and Y is a point on QR such that PR = 10 cm, RX = 4 cm, YR = 2 cm, QR = 5 cm. Which one of the following is correct? |
| A. | XY is parallel to PQ |
| B. | PQ = 2 XY |
| C. | PX = QY |
| D. | PQ = 3 XY |
| Answer» B. PQ = 2 XY | |
| 1171. |
In a ΔABC, angle BAC = 90°. If BC = 25 cm, then what is the length of the median AD? |
| A. | 12.5 cm |
| B. | 24 cm |
| C. | 14.5 cm |
| D. | 10 cm |
| Answer» B. 24 cm | |
| 1172. |
If (6y + 70)° and (3y + 47)° are supplementary angles, find the value of y.A. 12B. 15C. 7D. 10 |
| A. | C |
| B. | A |
| C. | B |
| D. | D |
| Answer» B. A | |
| 1173. |
At how many points will two parallel lines intersect? |
| A. | Two |
| B. | Will not intersect at all |
| C. | One |
| D. | Three |
| Answer» C. One | |
| 1174. |
In ΔABC, ∠C = 90° and D is a point on CB such that AD is the bisector of ∠A. If AC = 5 cm and BC = 12 cm, then what is the length of AD? |
| A. | 10/3 cm |
| B. | \(\frac{{5\sqrt {13} }}{6}\) cm |
| C. | \(\frac{{5\sqrt {13} }}{3}\) cm |
| D. | 20/3 cm |
| Answer» D. 20/3 cm | |
| 1175. |
ABC is a triangle right angled at C with BC = a and AC = b. If p is the length of the perpendicular from C on AB, then which one of the following is correct? |
| A. | a2b2 = p2(a2 + b2) |
| B. | a2b2 = p2(a2 – b2) |
| C. | 2a2b2 = p2(a2 + b2) |
| D. | a2b2 = 2p2(a2 + b2) |
| Answer» B. a2b2 = p2(a2 – b2) | |
| 1176. |
For a pair of similar triangles, the angle made at Q is same in both the triangles PQR and LQJ.If the length of side QJ is 10 cm and QR is 5 cm, what is the ratio of their total areas? |
| A. | 5 |
| B. | 2 |
| C. | 10 |
| D. | 4 |
| Answer» E. | |
| 1177. |
A at disco the beam revolves 3600 in 20 minutes. Its maximum coverage is 20 m long. After 2 minutes what length the beam would have covered from its starting point? |
| A. | 2π m |
| B. | 4π m |
| C. | 4 m |
| D. | 2 m |
| Answer» C. 4 m | |
| 1178. |
Find the sum of all the interior angles of a pentagon. |
| A. | 450° |
| B. | 180° |
| C. | 360° |
| D. | 540° |
| Answer» E. | |
| 1179. |
ΔABC is right angled at B. If ∠A = 30°. What is the length (in cm) of AB, if AC = 8 cm? |
| A. | 2√3 |
| B. | 4√3 |
| C. | 4/√3 |
| D. | 2/√3 |
| Answer» C. 4/√3 | |
| 1180. |
If ABCD is a trapezium, AC and BD are the diagonals intersecting each other at point O, then AC : BD is: |
| A. | AB + AD : DC + BC |
| B. | AB : CD |
| C. | OA – OC : OB – OD |
| D. | AD : BC |
| Answer» D. AD : BC | |
| 1181. |
In the given figure, if AB || CD || EF, then the measure of ∠CEF is |
| A. | 210° |
| B. | 140° |
| C. | 70° |
| D. | None of the above |
| Answer» C. 70° | |
| 1182. |
In the given figure, ∠AMB = 130°, then what is the value (in degrees) of ∠ABQ? |
| A. | 40 |
| B. | 50 |
| C. | 60 |
| D. | 90 |
| Answer» C. 60 | |
| 1183. |
In ΔACE, B and D are the points on side AC and CE, respectively, such that BD || AE and AE/BD = 8/3. What is the ratio of the area of ΔBDC to that of ΔAEC? |
| A. | 8 : 11 |
| B. | 9 : 64 |
| C. | 9 : 16 |
| D. | 3 : 8 |
| Answer» C. 9 : 16 | |
| 1184. |
In the given figure, P is the centre of the circle. If QS = PR, then what is the ratio of ∠RSP to the ∠TPR? |
| A. | 1 ∶ 4 |
| B. | 2 ∶ 5 |
| C. | 1 ∶ 3 |
| D. | 2 ∶ 7 |
| Answer» D. 2 ∶ 7 | |
| 1185. |
Area of the Trapezium is |
| A. | \(\left( {\frac{1}{4}} \right)\) × base × height |
| B. | \(\left( {\frac{1}{2}} \right)\)× base-height |
| C. | \(\left( {\frac{1}{2}} \right)\)(sum of parallel sides) × height |
| D. | Base × height |
| Answer» D. Base × height | |
| 1186. |
If the angles of a triangle are in the ratio 2 : 3 : 7 then the largest angle is: |
| A. | 90° |
| B. | 105° |
| C. | 120° |
| D. | 150° |
| Answer» C. 120° | |
| 1187. |
In ΔABE, D and C are the points on sides AE and EB, respectively, such that DC ll AB. If AD = 4 cm, BC = 5 cm, DC = 10 cm and AB = 15 cm, then the sum of the lengths of DE and EC. |
| A. | 20 cm |
| B. | 15 cm |
| C. | 21 cm |
| D. | 18 cm |
| Answer» E. | |
| 1188. |
In ΔABC, AB = AC and D is a point on side AC such that BD = BC. If AB = 12.5 cm and BC = 5 cm, then what is the measure of DC? |
| A. | 2.5 cm |
| B. | 3 cm |
| C. | 1.8 cm |
| D. | 2 cm |
| Answer» E. | |
| 1189. |
A circle is inscribed in a triangle ABC. It touches the sides AB, BC and AC at the points R, P and Q respectively. If AQ = 4.5 cm, PC = 5.5 cm and BR = 6 cm, then the perimeter of the ΔABC is: |
| A. | 28 cm |
| B. | 26.5 cm |
| C. | 32 cm |
| D. | 30.5 cm |
| Answer» D. 30.5 cm | |
| 1190. |
In which quadrant do the point (-16, 9) lies |
| A. | IV quadrant |
| B. | I quadrant |
| C. | II quadrant |
| D. | III Quadrant |
| Answer» D. III Quadrant | |
| 1191. |
In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC = 6 : 7. (Area of ΔADE) : (Area of trapezium BCED) = ? |
| A. | 49 : 13 |
| B. | 36 : 13 |
| C. | 13 : 49 |
| D. | 13 : 36 |
| Answer» C. 13 : 49 | |
| 1192. |
PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangles and PT = 5QT. If the area of ΔRTQ is 12√3 sq.cm, then the area of the rectangle PQRS is: |
| A. | 142 sq.cm |
| B. | 142 √3 sq.cm |
| C. | 134 √3 sq.cm |
| D. | 144 √3 sq.cm |
| Answer» E. | |
| 1193. |
If each interior angle of a regular polygon is 175°, then the number of sides are: |
| A. | 54 |
| B. | 72 |
| C. | 60 |
| D. | 15 |
| Answer» C. 60 | |
| 1194. |
An angle is 60° more than one-fifth of its complement. Find the smaller angle in degrees.A. 65°B. 35°C. 25°D. 45° |
| A. | C |
| B. | B |
| C. | A |
| D. | D |
| Answer» B. B | |
| 1195. |
Let ΔABC ~ ΔQPR and [{ar(ΔABC)/(arΔQPR)} = (9/4)]. If AB = 12 cm, BC = 6 cm and AC = 9 cm, then QR is equal to: |
| A. | 15 cm |
| B. | 9 cm |
| C. | 6 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 1196. |
In a ΔABC, the bisectors of ∠B and ∠C meet at point O, inside the triangle. If ∠BOC = 122°, then the measure of ∠A is: |
| A. | 72° |
| B. | 64° |
| C. | 62° |
| D. | 68° |
| Answer» C. 62° | |
| 1197. |
In a triangle ABC, if AB = BC and the measure of angle C is 75°, then the measure of angle B: |
| A. | 30° |
| B. | 60° |
| C. | 75° |
| D. | 52.5° |
| Answer» B. 60° | |
| 1198. |
Let ABC ~ QPR and arABC : arQPR = 1 : 16. If AB = 12 cm, BC = 6 cm and AC = 9 cm then PR is equal to: |
| A. | 12 cm |
| B. | 9 cm |
| C. | 24 cm |
| D. | 8 cm |
| Answer» D. 8 cm | |
| 1199. |
In a circle with centre O, ABCD is a cyclic quadrilateral and AC is diameter. Chords AB and DC are produced to meet at E. If ∠CAE = 34° and ∠E = 30°, then ∠CBD is equal to: |
| A. | 36° |
| B. | 34° |
| C. | 26° |
| D. | 24° |
| Answer» D. 24° | |
| 1200. |
ABCD is a rhombus in which the altitude from D to side AB bisects AB, then one of the angle of the rhombus is - |
| A. | 45∘ |
| B. | 50∘ |
| C. | 60∘ |
| D. | 90∘ |
| Answer» D. 90∘ | |