MCQOPTIONS
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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.
| 451. |
In a cyclic quadrilateral A + C = B + D = ? |
| A. | 270 |
| B. | 360 |
| C. | 90 |
| D. | 180 |
| Answer» E. | |
| 452. |
ABCD is a rhombus whose side AB = 4 cm and ABC = 120 , then the length of diagonal BD is equal to : |
| A. | 1 cm |
| B. | 2 cm |
| C. | 3 cm |
| D. | 4 cm |
| Answer» E. | |
| 453. |
The ratio of the angles A and B of a non-square rhombus ABCD is 4 : 5, then the value of C is : |
| A. | 50 |
| B. | 45 |
| C. | 80 |
| D. | 95 |
| Answer» D. 95 | |
| 454. |
In a quadrilateral ABCD, with unequal sides if the diagonals AC and BD intersect at right angles, then |
| A. | AB + BC = CD + DA |
| B. | AB + CD = BC + DA |
| C. | AB + AD = BC + CD |
| D. | AB + BC = 2(CD + DA ) |
| Answer» C. AB + AD = BC + CD | |
| 455. |
ABCD is a rhombus. AB is produced to F and BA is produced to E such that AB = AE = BF. Then : |
| A. | ED > CF |
| B. | ED CF |
| C. | ED + CF = EF |
| D. | ED || CF |
| Answer» C. ED + CF = EF | |
| 456. |
ABCD is a cyclic quadrilateral. AB and DC when produced meet at P, if PA = 8 cm, PB = 6 cm, PC = 4 cm, then the length (in cm) of PD is |
| A. | 8 cm |
| B. | 6 cm |
| C. | 10 cm |
| D. | 12 cm |
| Answer» E. | |
| 457. |
If ABCD is a cyclic quadrilateral with A = 50 , B = 80 , then C and D are |
| A. | 100 , 130 |
| B. | 115 , 115 |
| C. | 110 , 120 |
| D. | 130 , 100 |
| Answer» E. | |
| 458. |
ABCD is a trapezium whose side |
| A. | 7, 6 |
| B. | 12, 6 |
| C. | 7, 10 |
| D. | 8, 9 |
| Answer» E. | |
| 459. |
The three successive angles of a cyclic quadrilateral are in the ratio 1 : 3 : 4, find the measure of the fourth angle? |
| A. | 72 |
| B. | 108 |
| C. | 36 |
| D. | 30 |
| Answer» B. 108 | |
| 460. |
ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If DBC = 35 , then AED measures |
| A. | 35 |
| B. | 45 |
| C. | 55 |
| D. | 90 |
| Answer» D. 90 | |
| 461. |
In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If XBC = 82 and ADB = 47 , then the value of BDC is : |
| A. | 40 |
| B. | 35 |
| C. | 30 |
| D. | 25 |
| Answer» C. 30 | |
| 462. |
Three consecutive angles of a cyclic quadrilateral are in the ratio of 1 : 4 : 5. The measure of fourth angle is : |
| A. | 120 |
| B. | 60 |
| C. | 30 |
| D. | 80 |
| Answer» C. 30 | |
| 463. |
In a cyclic quadrilateral ABCD, BCD = 120 and passes through the centre of the circle. Then ABD = ? |
| A. | 30 |
| B. | 40 |
| C. | 50 |
| D. | 60 |
| Answer» B. 40 | |
| 464. |
ABCD is a rhombus. A straight line through C cuts AD produced at P and AB produced at Q. If DP = ( 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 | |
| 465. |
If ABCD be a cyclic quadrilateral in which A = 4x , B = 7x , C = 5y , D = y , then x : y is |
| A. | 3 : 4 |
| B. | 4 : 3 |
| C. | 5 : 4 |
| D. | 4 : 5 |
| Answer» C. 5 : 4 | |
| 466. |
The measures of three angles of a quadrilateral are in the ratio 1 : 2 : 3. If the sum of these three measures is equal to the measrue of the fourth angle, find the smallest angle. |
| A. | 30 |
| B. | 40 |
| C. | 60 |
| D. | 50 |
| Answer» B. 40 | |
| 467. |
PQRST is a cyclic pentagon and PT is a diameter, then PQR + RST is equal to |
| A. | 180 |
| B. | 270 |
| C. | 216 |
| D. | 144 |
| Answer» C. 216 | |
| 468. |
The ratio of each interior angle to each exterior angle of a regular polygon is 3 : 1. The number of sides of the polygon is |
| A. | 9 |
| B. | 7 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 469. |
The sum of the internal angles of a regular polygon is 1440 The number of sides is |
| A. | 8 |
| B. | 10 |
| C. | 12 |
| D. | 6 |
| Answer» C. 12 | |
| 470. |
The sum of all internal angles of a regular polygon whose one external angle is 20 is |
| A. | 6400 |
| B. | 3200 |
| C. | 2880 |
| D. | 1440 |
| Answer» D. 1440 | |
| 471. |
In a regular polygon if one of its internal angle is greater than the external angle by 132 , then the number of sides of the polygon is |
| A. | 14 |
| B. | 12 |
| C. | 15 |
| D. | 16 |
| Answer» D. 16 | |
| 472. |
The interior angle of a regular polygon is 140 . The number of sides of that polygon is |
| A. | 9 |
| B. | 8 |
| C. | 7 |
| D. | 6 |
| Answer» B. 8 | |
| 473. |
An interior angle of a regular polygon is 5 times its exterior angle. Then the number of sides of the polygon is |
| A. | 14 |
| B. | 16 |
| C. | 12 |
| D. | 18 |
| Answer» D. 18 | |
| 474. |
The interior angle of a regular polygon exceeds its exterior angle by 108 . The number of the sides of the polygon is |
| A. | 12 |
| B. | 16 |
| C. | 14 |
| D. | 10 |
| Answer» E. | |
| 475. |
In ABC the straight line parallel to the side BC meets AB and AC at the points P and Q respectively. If AP = QC, the length of AB is 12 units and the length of AQ is 2 units, then the length (in units) of CQ is |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» B. 6 | |
| 476. |
ABC and DEF are similar. Also A = D and B = E. If 4AB = DE and BC = 12 cm, then EF is equal to |
| A. | 3 cm |
| B. | 24 cm |
| C. | 16 cm |
| D. | 48 cm |
| Answer» E. | |
| 477. |
In ABC, E and D are points on sides AB and AC respectively such that ABC = ADE. If AE = 3 cm, AD = 2 cm and EB = 2 cm, then length of DC is |
| A. | 4 cm |
| B. | 4.5 cm |
| C. | 5.0 cm |
| D. | 5.5 cm |
| Answer» E. | |
| 478. |
The medians CD and BE of a triangle ABC intersect each other at O. The ratio ODE : ABC is equal to |
| A. | 12 : 1 |
| B. | 4 : 3 |
| C. | 3 : 4 |
| D. | 1 : 12 |
| Answer» E. | |
| 479. |
If PQR and LMN are similar and 3PQ = LM and MN = 9 cm, then QR is equal to : |
| A. | 12 cm |
| B. | 6 cm |
| C. | 9 cm |
| D. | 3 cm |
| Answer» E. | |
| 480. |
If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19cm and AC = 22 cm then the length of BC is |
| A. | 19.5 cm |
| B. | 26 cm |
| C. | 20.5 cm |
| D. | 13 cm |
| Answer» D. 13 cm | |
| 481. |
ABC and DEF are two similar triangles and the perimeters of ABC and DEF are 30 cm and 18 cm respectively. If the length of DE = 36 cm, then length of AB is |
| A. | 60 cm. |
| B. | 40 cm. |
| C. | 45 cm. |
| D. | 50 cm. |
| Answer» B. 40 cm. | |
| 482. |
ABC is a right-angled triangle with AB = 6 cm and BC = 8 cm. A circle with centre O has been inscribed inside ABC. The radius of the circle is |
| A. | 1 cm |
| B. | 2 cm |
| C. | 3 cm |
| D. | 4 cm |
| Answer» C. 3 cm | |
| 483. |
ABC is a right angled triangle with AB = 6 cm, AC = 8 cm, BAC = 90 . Then the radius of the incircle is |
| A. | 4 cm. |
| B. | 2 cm. |
| C. | 6 cm. |
| D. | 3 cm. |
| Answer» C. 6 cm. | |
| 484. |
The angle in a semi-circle is |
| A. | a reflex angle |
| B. | an obtuse angle |
| C. | an acute angle |
| D. | a right angle |
| Answer» E. | |
| 485. |
In ABC, BAC = 90 and D is the mid point of BC. Then which of the following relations is true? |
| A. | AD = BD = CD |
| B. | AD = BD = 2CD |
| C. | AD = 2BD = CD |
| D. | 2AD = BD = CD |
| Answer» B. AD = BD = 2CD | |
| 486. |
The sum of two angles of a triangle is 116 and their difference is 24 . The measure of the smallest angle of the triangle is : |
| A. | 38 |
| B. | 28 |
| C. | 46 |
| D. | 64 |
| Answer» D. 64 | |
| 487. |
If the sides of a triangle are in the ratio 3 : 11 : 3 1 then the traigle is 44 |
| A. | Right triangle |
| B. | Obtuse triangle |
| C. | Equiangular triangle |
| D. | Acute triangle |
| Answer» B. Obtuse triangle | |
| 488. |
If the measure of three angles of a triangle are in the ratio 2 : 3 : 5, then the triangle is : |
| A. | right angled |
| B. | isosceles |
| C. | obtuse angled |
| D. | equilateral |
| Answer» B. isosceles | |
| 489. |
In ABC and DEF, if A = 50 , B = 70 , C = 60 , D = 60 , E = 70 and F = 50 , then |
| A. | ABC ~ FED |
| B. | ABC ~ DFE |
| C. | ABC ~ EDF |
| D. | ABC ~ DEF |
| Answer» B. ABC ~ DFE | |
| 490. |
The lengths of three line segments are given. Is construction of a triangle possible with the segments in the given cases? |
| A. | 8 cm, 7 cm, 18 cm |
| B. | 8 cm, 15 cm, 17 cm |
| C. | 10 cm, 6 cm, 4 cm |
| D. | 8 cm, 10 cm, 20 cm |
| Answer» C. 10 cm, 6 cm, 4 cm | |
| 491. |
Suppose ABC be a right-angled triangle where A = 90 and AD BC. If ABC = 40 cm , ACD = 10 cm and |
| A. | 12 cm |
| B. | 18 cm |
| C. | 4 cm |
| D. | 6 cm |
| Answer» C. 4 cm | |
| 492. |
In a right angled ABC, ABC = 90 ; BN is perpendicular to AC, AB = 6 cm, AC = 10 cm. Then AN : NC is |
| A. | 3 : 4 |
| B. | 9 :16 |
| C. | 3 : 16 |
| D. | 1 : 4 |
| Answer» C. 3 : 16 | |
| 493. |
Let O be the orthocentre of the triangle ABC. If BOC = 150 , Then BAC is |
| A. | 30 |
| B. | 60 |
| C. | 90 |
| D. | 120 |
| Answer» B. 60 | |
| 494. |
If the difference between the measures of the two smaller angles of a right angled triangle is 8 , then the smallest angle is : |
| A. | 37 |
| B. | 41 |
| C. | 42 |
| D. | 49 |
| Answer» C. 42 | |
| 495. |
The side BC of a triangle ABC is extended to D. If ACD = 120 and ABC = ( 1/2 ) CAB, then the value of ABC is |
| A. | 80 |
| B. | 40 |
| C. | 60 |
| D. | 20 |
| Answer» C. 60 | |
| 496. |
In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of the half of the vertex angle of the triangle is |
| A. | 60 |
| B. | |
| C. | 70 |
| D. | 80 |
| E. | 50 |
| Answer» B. | |
| 497. |
If angle bisector of a triangle bisect the opposite side, then what type of triangle is it ? |
| A. | Right angled |
| B. | Scalene |
| C. | Similar |
| D. | Isosceles |
| Answer» E. | |
| 498. |
In a triangle ABC, AB = AC, BAC = 40 Then the external angle at B is : |
| A. | 90 |
| B. | 70 |
| C. | 110 |
| D. | 80 |
| Answer» D. 80 | |
| 499. |
In a ABC, |
| A. | <table><tr><td rowspan="2">equal to</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| B. | <table><tr><td rowspan="2">less than</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| C. | <table><tr><td rowspan="2">greater than</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| D. | <table><tr><td rowspan="2">equal to</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| E. | None of these |
| Answer» F. | |
| 500. |
The internal bisectors of the angles B and C of a triangle ABC meet at I. If BIC = ( A/2) + X, then X is equal to |
| A. | 60 |
| B. | 30 |
| C. | 90 |
| D. | 45 |
| Answer» D. 45 | |