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MCQOPTIONS
This section includes 564 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
If FGH is isosceles and FG < 3 cm, GH = 8 cm, then of the following, the true relation is. |
| A. | GH = FH |
| B. | GF = GH |
| C. | FH > GH |
| D. | GH < GF |
| Answer» B. GF = GH | |
| 152. |
In an isosceles triangle ABC, AB = AC and A = 80 . The bisector of B and C meet at D. The BDC is equal to |
| A. | 90 |
| B. | 100 |
| C. | 130 |
| D. | 80 |
| Answer» D. 80 | |
| 153. |
|
||||
| A. | <table><tr><td rowspan="2"> 21 </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4 </center></td></tr><tr><td style="text-align: center;">7</td></tr></table> | ||||
| B. | 25 | ||||
| C. | <table><tr><td rowspan="2"> 25 </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td></tr><tr><td style="text-align: center;">7</td></tr></table> | ||||
| D. | <table><tr><td rowspan="2"> 38 </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4 </center></td></tr><tr><td style="text-align: center;">7</td></tr></table> | ||||
| E. | |||||
| Answer» D. <table><tr><td rowspan="2"> 38 </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4 </center></td></tr><tr><td style="text-align: center;">7</td></tr></table> | |||||
| 154. |
In an isosceles ABC, AD is the median to the unequal side meeting BC at D. DP is the angle bisector of ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of PDQ is : |
| A. | 130 |
| B. | 90 |
| C. | 180 |
| D. | 45 |
| Answer» C. 180 | |
| 155. |
ABC is an isosceles triangle with AB = AC = 15 cm and altitude from A to BC is 12 cm. The length of side BC is : |
| A. | 9 cm. |
| B. | 12 cm. |
| C. | 18 cm. |
| D. | 20 cm. |
| Answer» D. 20 cm. | |
| 156. |
In an isosceles triangle ABC, AB = AC, XY ||BC. If A = 30 , then BXY = ? |
| A. | 75 |
| B. | 30 |
| C. | 150 |
| D. | 105 |
| Answer» E. | |
| 157. |
If the circumcentre of a triangle lies outside it, then the triangleis |
| A. | Equilateral |
| B. | Acute angled |
| C. | Right angled |
| D. | Obtuse angled |
| Answer» E. | |
| 158. |
In ABC, AD is the internal bisector of A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 4 : 5 |
| D. | 3 : 5 |
| Answer» B. 1 : 2 | |
| 159. |
O and C are respectively the orthocentre and circumcentre of an acute-angled triangle PQR. The points P and O are joined and produced to meet the side QR at S. If PQS = 60 and QCR = 130 , then RPS= |
| A. | 30 |
| B. | 35 |
| C. | 100 |
| D. | 60 |
| Answer» C. 100 | |
| 160. |
G is the centroid of ABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is |
| A. | 9.5 |
| B. | 10 |
| C. | 11 |
| D. | 10.5 |
| Answer» C. 11 | |
| 161. |
If the three medians of a triangle are same then the triangle is |
| A. | equilateral |
| B. | isosceles |
| C. | right-angled |
| D. | obtuse-angle |
| Answer» B. isosceles | |
| 162. |
The sides of a triangle are in the ratio 3 : 4 : 6. The triangle is : |
| A. | acute-angled |
| B. | right-angled |
| C. | obtuse-angled |
| D. | either acute-angled or rightangled |
| Answer» D. either acute-angled or rightangled | |
| 163. |
I is the incentre of ABC, ABC = 60 and ACB = 50 . Then BIC is : |
| A. | 55 |
| B. | 125 |
| C. | 70 |
| D. | 65 |
| Answer» C. 70 | |
| 164. |
In a triangle ABC, the side BC is extended up to D. Such that CD = AC, if BAD = 109 and ACB = 72 then the value of ABC is |
| A. | 35 |
| B. | 60 |
| C. | 40 |
| D. | 45 |
| Answer» B. 60 | |
| 165. |
ABC is a triangle. The bisectors of the internal angle B and external angle C intersect at D. If BDC= 50 , then A is |
| A. | 100 |
| B. | 90 |
| C. | 120 |
| D. | 60 |
| Answer» B. 90 | |
| 166. |
If two angles of a triangle are 21 and 38 , then the triangle is |
| A. | Right-angled triangle |
| B. | Acute-angled triangle |
| C. | Obtuse-angled triangle |
| D. | Isosceles triangle |
| Answer» D. Isosceles triangle | |
| 167. |
I is the incentre of a triangle ABC. If ABC = 65 and ACB = 55 , then the value of BIC is |
| A. | 130 |
| B. | 120 |
| C. | 140 |
| D. | 110 |
| Answer» C. 140 | |
| 168. |
If in ABC, ABC = 5 ACB and BAC = 3 ACB, then ABC = ? |
| A. | 130 |
| B. | 80 |
| C. | 100 |
| D. | 120 |
| Answer» D. 120 | |
| 169. |
The perpendiculars drawn from the vertices to the opposite sides of a triangle, meet at the point whose name is |
| A. | incentre |
| B. | circumcentre |
| C. | centroid |
| D. | orthocentre |
| Answer» E. | |
| 170. |
A man goes 24 m due west and then 10 m due north. Then the distance of him from the starting point is |
| A. | 17 m |
| B. | 26 m |
| C. | 28 m |
| D. | 34 m |
| Answer» C. 28 m | |
| 171. |
In ABC, C is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE, then ACB = |
| A. | 105 |
| B. | 108 |
| C. | 110 |
| D. | 135 |
| Answer» C. 110 | |
| 172. |
In &8710; ABC BAC = 90 and AD BC. If BD = 3 cm and CD = 4 cm, then the length of AD is |
| A. | 3.5 cm |
| B. | 5 cm |
| C. | 23 cm |
| D. | 6 cm |
| Answer» D. 6 cm | |
| 173. |
If ABC is an equilateral triangle and D is a point on BC such that AD BC, then |
| A. | AB : BD = 1 : 1 |
| B. | AB : BD = 1 : 2 |
| C. | AB : BD = 2 : 1 |
| D. | AB : BD = 3 : 2 |
| Answer» D. AB : BD = 3 : 2 | |
| 174. |
If in a triangle, the circumcentre, incentre, centroid and orthocentre coincide, then the triangle is |
| A. | Acute angled |
| B. | Isosceles |
| C. | Right angled |
| D. | Equilateral |
| Answer» E. | |
| 175. |
In a triangle, the distance of the centroid from the three vertices is 4 cm, 6 cm and 8 cm respectively. Then the length of the smallest median is : |
| A. | 8 |
| B. | 7 |
| C. | 6 |
| D. | 5 |
| Answer» D. 5 | |
| 176. |
The internal bisectors of the B and C of the ABC, intersect at O. If A = 100 , then the measure of BOC is : |
| A. | 140 |
| B. | 120 |
| C. | 110 |
| D. | 130 |
| Answer» B. 120 | |
| 177. |
X and Y are the mid-points of sides AB and AC of a triangle ABC. If (BC + XY) = 12 units, then (BC XY) is |
| A. | 8 units |
| B. | 4 units |
| C. | 6 units |
| D. | 2 units |
| Answer» C. 6 units | |
| 178. |
If in ABC, B = 5 C and A = 3 C, then the measure of C is |
| A. | 45 |
| B. | 30 |
| C. | 20 |
| D. | 5 |
| Answer» D. 5 | |
| 179. |
If the orthocentre and the centroid of a triangle are the same, then the triangle is : |
| A. | Scalene |
| B. | Right angled |
| C. | Equilateral |
| D. | Obtuse angled |
| Answer» D. Obtuse angled | |
| 180. |
Possible lengths of the three sides of a triangle are : |
| A. | 2 cm, 3 cm and 6 cm |
| B. | |
| C. | 3 cm, 4 cm and 5 cm |
| D. | 2.5 cm, 3.5 cm and 6 cm |
| E. | 4 cm, 4 cm and 9 cm |
| Answer» C. 3 cm, 4 cm and 5 cm | |
| 181. |
In a triangle ABC, OB and OC are the bisectors of angles B and C respectively. BAC = 60 . The angle BOC will be : |
| A. | 150 |
| B. | 120 |
| C. | 100 |
| D. | 90 |
| Answer» C. 100 | |
| 182. |
The point where the all three medians of a triangle meet is called |
| A. | Centroid |
| B. | Incentre |
| C. | Circumcentre |
| D. | Orthocentre |
| Answer» B. Incentre | |
| 183. |
G and AD are respectively the centroid and median of the triangle ABC.The ratio AG : AD is equal to |
| A. | 3:2 |
| B. | 2:3 |
| C. | 2:1 |
| D. | 1:2 |
| Answer» C. 2:1 | |
| 184. |
In ABC, B = 35 , C = 65 and the bisector of BAC meets BC in D. Then ADB is : |
| A. | 40 |
| B. | 75 |
| C. | 90 |
| D. | 105 |
| Answer» E. | |
| 185. |
The orthocentre of a triangle lies on one of the sides. Then |
| A. | The orthocentre lies on a vertex |
| B. | circumcentre lies outside the triangle |
| C. | circumcentre lies on the same side |
| D. | centroid coincides with orthocentre |
| Answer» B. circumcentre lies outside the triangle | |
| 186. |
In the adjoining figure, AB || CD, |
| A. | 90 |
| B. | 75 |
| C. | 80 |
| D. | 110 |
| E. | None of these |
| Answer» B. 75 | |
| 187. |
The complement of an angle exceeds the angle by 60 . Then the angle is equal to: |
| A. | 25 |
| B. | 30 |
| C. | 15 |
| D. | 35 |
| E. | None of these |
| Answer» D. 35 | |
| 188. |
In the given figure, AB || CD and AC || BD. If EAC = 40 , FDG = 55 , HAB = x; then the value of x is: |
| A. | 95 |
| B. | 70 |
| C. | 35 |
| D. | 85 |
| E. | None of these |
| Answer» E. None of these | |
| 189. |
In the given figure, OP bisect BOC and OQ bisects AOC. Then POQ is equal to : |
| A. | 90 |
| B. | 120 |
| C. | 60 |
| D. | 100 |
| E. | None of these |
| Answer» B. 120 | |
| 190. |
In the given figure BAD = CAD. AB = 4 cm, AC = 5.2 cm, BD = 3 cm. Find BC. |
| A. | 6.9 cm |
| B. | 9.6 cm |
| C. | 3.9 cm |
| D. | 9.3 cm |
| E. | None of these |
| Answer» B. 9.6 cm | |
| 191. |
A ladder 15 m long reaches a window which is 9 m above the ground on one side of street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12 m high. What is the width of the street: |
| A. | 31 m |
| B. | 12 m |
| C. | 30 m |
| D. | 21 m |
| E. | None of these |
| Answer» E. None of these | |
| 192. |
In the adjoining figure A + B + C + D + E + F = ? |
| A. | 270 |
| B. | 300 |
| C. | 360 |
| D. | 330 |
| E. | None of these |
| Answer» D. 330 | |
| 193. |
Find the measure of an angle, if six times its complement is 12 less than twice its supplement : |
| A. | 48 |
| B. | 96 |
| C. | 24 |
| D. | 58 |
| E. | None of these |
| Answer» B. 96 | |
| 194. |
In fig., AB || CD, a is equal to: |
| A. | 93 |
| B. | 103 |
| C. | 83 |
| D. | 97 |
| E. | None of these |
| Answer» B. 103 | |
| 195. |
In a ABC, if 2 A = 3 B = 6 C, Then A is equal to: |
| A. | 60 |
| B. | 30 |
| C. | 90 |
| D. | 120 |
| E. | None of these |
| Answer» D. 120 | |
| 196. |
A, B, C are the three angles of a . If A B = 15 and B C = 30 . Then A is equal to : |
| A. | 65 |
| B. | 80 |
| C. | 75 |
| D. | 85 |
| E. | None of these |
| Answer» C. 75 | |
| 197. |
If the bisector of an angle of bisects the opposite side, then the is : |
| A. | Scalene |
| B. | Isosceles |
| C. | Right triangle |
| D. | circle |
| E. | None of these |
| Answer» C. Right triangle | |
| 198. |
The areas of two similar s are 81 cm |
| A. | 24 cm |
| B. | 48 cm |
| C. | 36 cm |
| D. | 88 cm |
| E. | None of these |
| Answer» D. 88 cm | |
| 199. |
The sides AB and AC of ABC have been produced to D and E respectively. The bisectors of CBD and BCE meet at O. If A = 40 , then BOC is equal to: |
| A. | 60 |
| B. | 65 |
| C. | 75 |
| D. | 70 |
| E. | None of these |
| Answer» E. None of these | |
| 200. |
In the given figure, DE || BC if AD = 1.7 cm, AB = 6.8 cm and AC = 9 cm, find AE. |
| A. | 2.25cm |
| B. | 4.5cm |
| C. | 1.25cm |
| D. | 2.5cm |
| E. | None of these |
| Answer» B. 4.5cm | |