Explore topic-wise MCQs in Aptitude.

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.

401.

In triangle ABC, BAC = 90 and AD is perpendicular to BC. If AD = 6 cm and BD = 4 cm, then the length of BC is :

A. 10 cm.
B. 12 cm.
C. 13 cm.
D. 15 cm.
Answer» D. 15 cm.
Discussion
402.

A ship after sailing 12 km towards south from a particular place covered 5 km more towards east. Then the straightway distance of the ship from that place is

A. 11 km
B. 18 km
C. 15 km
D. 13 km
Answer» E.
Discussion
403.

A point D is taken from the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then

A. AB + CD = BC + AD
B. CD + BD = 2AD
C. AB + AC = 2AD
D. AB = AD + BD
Answer» B. CD + BD = 2AD
Discussion
404.

ABC is a right angled triangle, right angled at C and p is the length of the perpendicular from C on AB. If a, b and c are the length of the sides BC, CA and AB respectively, then

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">=</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">-</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;">p </td><td style="text-align: center;">b </td><td style="text-align: center;">a </td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">=</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+</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;">p </td><td style="text-align: center;">a </td><td style="text-align: center;">b </td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">= - </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;">p </td><td style="text-align: center;">a </td><td style="text-align: center;">b </td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">=</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> - </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;">p </td><td style="text-align: center;">a </td><td style="text-align: center;">b </td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">+</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">= - </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;">p </td><td style="text-align: center;">a </td><td style="text-align: center;">b </td></tr></table>
Discussion
405.

If the measures of the sides of triangle are (x

A. equilateral
B. acute-angled
C. isosceles
D. right-angled
Answer» E.
Discussion
406.

The ortho center of a right angled triangle lies

A. outside the triangle
B. at the right angular vertex
C. on its hypotenuse
D. within the triangle
Answer» C. on its hypotenuse
Discussion
407.

In ABC, A = 90 and AD BC where D lies on BC. If BC = 8 cm, AC = 6 cm, then ABC : ACD =?

A. 4 : 3
B. 25 : 16
C. 16 : 9
D. 25 : 9
Answer» D. 25 : 9
Discussion
408.

If the median drawn on the base of a triangle is half its base, the triangle will be:

A. right-angled
B. acute-angled
C. obtuse-angled
D. equilateral
Answer» B. acute-angled
Discussion
409.

D and E are two points on the sides AC and BC respectively of ABC such that DE = 18 cm, CE = 5 cm and DEC = 90 . If tan ABC = 3.6, then AC : CD =

A. BC : 2 CE
B. 2 CE : BC
C. 2 BC : CE
D. CE : 2 BC
Answer» D. CE : 2 BC
Discussion
410.

Each interior angle of a regular polygon is three times its exterior angle, then the number of sides of the regular polygon is :

A. 9
B. 8
C. 10
D.
E. 7
Answer» C. 10
Discussion
411.

The sum of interior angles of a regular polygon is 1440 . The number of sides of the polygon is

A. 10
B. 12
C. 6
D. 8
Answer» B. 12
Discussion
412.

ABC is a triangle in which DE || BC and AD : DB = 5 : 4. Then DE : BC is

A. 4 : 5
B. 4 : 9
C. 9 : 5
D. 5 : 9
Answer» E.
Discussion
413.

If the opposite sides of a quadrilateral and also its diagonals are equal, then each of the angles of the quadrilateral is

A. 90
B. 120
C. 100
D. 60
Answer» B. 120
Discussion
414.

ABCD is a rectangle where the ratio of the length of AB and BC is 3 : 2. If P is the mid-point of AB, then the value of sin CPB is

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
C. <table><tr><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 style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
E.
Answer» E.
Discussion
415.

Inside a square ABCD, BEC is an equilateral triangle. If CE and BD intersect at O, then BOC is equal to

A. 60
B. 75
C. 90
D. 120
Answer» C. 90
Discussion
416.

Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4. Then the number of sides of each polygon is

A. 10 and 20
B. 4 and 8
C. 3 and 6
D. 5 and 10
Answer» E.
Discussion
417.

A polygon has 54 diagonals. The number of sides in the polygonis

A. 7
B. 9
C. 12
D. 15
Answer» D. 15
Discussion
418.

Measure of each interior angle of a regular polygon can never be :

A. 150
B. 105
C. 108
D. 144
Answer» C. 108
Discussion
419.

ABCD is a cyclic trapezium such that AD||BC, if ABC = 70 , then the value of BCD is:

A. 60
B. 70
C. 40
D. 80
Answer» C. 40
Discussion
420.

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are

A. 20, 24
B. 15, 18
C. 10, 12
D. 5, 6
Answer» D. 5, 6
Discussion
421.

In a quadrilateral ABCD, the bisectors of A and B meet at O. If C = 70 and D = 130 , then measure of AOB is

A. 40
B. 60
C. 80
D. 100
Answer» E.
Discussion
422.

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is :

A. 8
B. 6
C. 5
D. 7
Answer» C. 5
Discussion
423.

The number of sides in two regular polygons are in the ratio 5 : 4 and the difference between each interior angle of the polygons is 6 . Then the number of sides are

A. 15, 12
B. 5, 4
C. 10, 8
D. 20, 16
Answer» B. 5, 4
Discussion
424.

The difference between the exterior and interior angles at a vertex of a regular polygon is 150 . The number of sides of the polygon is

A. 10
B. 15
C. 24
D. 30
Answer» D. 30
Discussion
425.

There are two regular polygons with number of sides equal to (n 1) and (n + 2). Their exterior angles differ by 6 . The value of n is

A. 14
B. 12
C. 13
D. 11
Answer» D. 11
Discussion
426.

The perimeter of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 18 cm, then AB is :

A. 20 cm
B. 24 cm
C. 36 cm
D. 30 cm
Answer» E.
Discussion
427.

If each interior angle of a regular polygon is 150 , the number of sides of the polygon is

A. 8
B. 10
C. 15
D. None of these
Answer» E.
Discussion
428.

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively

A. 6, 12
B. 5, 10
C. 4, 8
D. 7, 14
Answer» D. 7, 14
Discussion
429.

The measure of each interior angle of a regular polygon with 8 sides is

A. 135
B. 120
C. 100
D. 45
Answer» B. 120
Discussion
430.

If the sum of all interior angles of a regular polygon is 14 right angles, then its number of sides is

A. 8
B. 9
C. 7
D. 6
Answer» C. 7
Discussion
431.

Measure of each interior angle of a regular hexagon is :

A. 100
B. 60
C. 45
D. 120
Answer» E.
Discussion
432.

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is

A. 10
B. 8
C. 12
D. 6
Answer» E.
Discussion
433.

ABCD is a cyclic parallelogram. The angle B is equal to :

A. 30
B. 60
C. 45
D. 90
Answer» E.
Discussion
434.

In a parallelogram PQRS, angle P is four times of angle Q, then the measure of R is

A. 144
B. 36
C. 72
D. 130
Answer» B. 36
Discussion
435.

Among the angles 30 , 36 , 45 , 50 one angle cannot be an exterior angle of a regular polygon. The angle is

A. 30
B. 36
C. 45
D. 50
Answer» E.
Discussion
436.

ABCD is a cyclic trapezium with AB || DC and AB = diameter of the circle. If CAB = 30 , then ADC is

A. 60
B. 120
C. 150
D. 30
Answer» C. 150
Discussion
437.

The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P and Q are the centroid of the ; ABC and ADC respectively then the length of the line segment PQ is

A. 4 cm
B. 6 cm
C. 9 cm
D. 12 cm
Answer» C. 9 cm
Discussion
438.

If an interior of a regular polygon is 170 , then the number of sides of the polygon is

A. 36
B. 20
C. 18
D. 27
Answer» B. 20
Discussion
439.

ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If ADC = 70 and DAB = 60 , then the PBC + PCB is

A. 130
B. 150
C. 155
D. 180
Answer» B. 150
Discussion
440.

ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If ABC = 72 , then the measure of the BCD is

A. 162
B. 18
C. 108
D. 72
Answer» E.
Discussion
441.

ABCD is a cyclic quadrilateral and O is the centre of the circle. If COD = 140 and BAC = 40 , then the value of BCD is equal to

A. 70
B. 90
C. 60
D. 80
Answer» B. 90
Discussion
442.

If an exterior angle of a cyclic quadrilateral be 50 , then the interior opposite angle is :

A. 130
B. 40
C. 50
D. 90
Answer» D. 90
Discussion
443.

ABCD is a cyclic quadrilateral. The side AB is extended to E in such a way that BE = BC. If ADC = 70 , BAD = 95 , then DCE is equal to

A. 140
B. 120
C. 165
D. 110
Answer» B. 120
Discussion
444.

In a cyclic quadrilateral ABCD m A + m B + m C + m D =?

A. 90
B. 360
C. 180
D. 120
Answer» C. 180
Discussion
445.

A quadrilateral ABCD circumscribes a circle and AB = 6 cm, CD = 5 cm and AD = 7 cm. The length of side BC is

A. 4 cm
B. 5 cm
C. 3 cm
D. 6 cm
Answer» B. 5 cm
Discussion
446.

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that

A. BP . AB = CD . CP
B. AP . CP = BP . DP
C. AP . BP = CP . DP
D. AP . CD = AB . CP
Answer» C. AP . BP = CP . DP
Discussion
447.

A cyclic quadrilateral ABCD is such that AB = BC, AD = DC, AC BD, CAD = . Then the angle ABC =

A.
B. /2
C. 2
D. 3
Answer» D. 3
Discussion
448.

ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If APB = 110 and CBD = 30 , then ADB measures

A. 55
B. 30
C. 70
D. 80
Answer» E.
Discussion
449.

The point of intersection of the diagonals AC and BD of the cyclic quadrilateral ABCD is P. If APB = 64 and CBD = 28 , the measure of ADB is

A. 32
B. 36
C. 56
D. 28
Answer» C. 56
Discussion
450.

ABCD is a cyclic quadrilateral and AD is a diameter. If DAC = 55 then value of ABC is

A. 55
B. 35
C. 145
D. 125
Answer» D. 125
Discussion