Explore topic-wise MCQs in Maths.

This section includes 174 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

51.

If the area of a circle, inscribed in a equilateral triangle is 4 cm2, then what is the area of the triangle?

A. $$ {12 sqrt{3} cm^{2}}$$
B. $$ {9 sqrt{3} cm^{2}}$$
C. $$ {8 sqrt{3} cm^{2}}$$
D. $$ {18 cm^{2}}$$
Answer» B. $$ {9 sqrt{3} cm^{2}}$$
52.

ABCD is a rhombus whose one angle is 60 .Find the ratio of the lengths of its diagonal?

A. $$ { sqrt{3}:1}$$
B. 1 : 1
C. $$ { sqrt{2}:1}$$
D. None of these
Answer» C. $$ { sqrt{2}:1}$$
53.

In a polygon, the sum of the interior angles is double the sum of the exterior angles. What is the number of sides of the polygon?

A. 4
B. 8
C. 6
D. 5
Answer» D. 5
54.

If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?

A. 0
B. 4
C. 7
D. 5
Answer» D. 5
55.

Two medians AD and BE of ABC intersect G at right angle. If AD = 9 cm and BE = 6 cm, then the length of BD ( in cm ) is

A. 5
B. 3
C. 10
D. 6
Answer» B. 3
56.

If $$ {x=7-4 sqrt{3}}$$ find the value of $$ { sqrt{x}+{1 over { sqrt{x}}}}$$.

A. 0
B. 1
C. 2
D. 4
Answer» E.
57.

In ABC, AB=c cm, AC= b cm and CB=a cm, If A=2 B, then which of the following is true?

A. $$ {a^{2}=b^{2}-bc}$$
B. $$ {a^{2}=b^{2}-ac}$$
C. $$ {a^{2}=b^{2}+bc}$$
D. $$ {a^{2}=b^{2}+ac}$$
Answer» D. $$ {a^{2}=b^{2}+ac}$$
58.

Find the length of a tangent, drawn to a circle of radius 4 cm, from a point which is at a distance of 5 cm from the centre?

A. 4 cm
B. 5 cm
C. 3 cm
D. 2 cm
Answer» D. 2 cm
59.

If the perimeter of an equilateral triangle is 30 meters, what is its height?

A. 9.66 meter
B. 8.66 meter
C. 7.66 meter
D. 6.66 meter
Answer» C. 7.66 meter
60.

Bhuvnesh has drawn an angle of measure 4507 when he was asked to draw an angle of 450. The percentage error in his drawing is

A. 0.5 %
B. 1.0 %
C. 1.5 %
D. 2.0 %
Answer» C. 1.5 %
61.

One angle of pentagon is 140 . If the remaining angles are in the ratio 1 : 2: 3: 4, the size of the greatest angle is:

A. 150
B. 180
C. 160
D. 170
Answer» D. 170
62.

The centroid of a ABC is G. The area of ABC is 60 cm . The area of GBC is

A. 30 cm
B. 40 cm
C. 10 cm
D. 20 cm
Answer» E.
63.

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. 11
B. 10
C. 10.5
D. 9.5
Answer» C. 10.5
64.

Diagonals of a Trapezium ABCD with AB CD intersect each other at the point O. If AB=2CD, then the ratio of the areas of AOB and COD is

A. 4:1
B. 1: 16
C. 1:4
D. 16:1
Answer» B. 1: 16
65.

In the given figure, DE BC and DE=1/3 BC if area of triangle ADE=20 sq. cm, then what is the area (in sq.cm) of the triangle DEC?

A. 40
B. 60
C. 80
D. 120
Answer» B. 60
66.

if is acute angle and sin ( +180) = 1/2, then the value of in circular measure is :

A. /12 Radius
B. /15 Radius
C. 2 /5 Radius
D. 3 /13
Answer» C. 2 /5 Radius
67.

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

A. 8 sq. units
B. 13 sq. units
C. 20 sq. units
D. 40 sq. units
Answer» D. 40 sq. units
68.

If each side of a cube is increased by 10%. Then find the percent change in the volume of the cube.

A. 21%
B. 30%
C. 33.1%
D. 35%
Answer» D. 35%
69.

The difference between the interior and exterior 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
70.

The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is

A. 32
B. 34
C. 36
D. 38
Answer» E.
71.

If the area of a circle is 9 sq.cm then it circumference is

A. 9 cm
B. 6 cm
C. 3 cm
D. 6 cm
Answer» C. 3 cm
72.

If the graph of the equations x + y = 0 and 5y + 7x =24 intersect at (m, n), then the value of m + n is :

A. 2
B. 1
C. 0
D. 1
Answer» D. 1
73.

The exterior angle of a regular polygon is one-third of its interior angle, the number of sides of the polygon is -

A. 6
B. 8
C. 3
D. 4
Answer» C. 3
74.

The equidistant point from the vertices of a triangle is called its:

A. Centroid
B. Incentre
C. Circumcenter
D. Orthocenter
Answer» D. Orthocenter
75.

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is

A. 14
B. 5
C. 6
D. 8
Answer» C. 6
76.

In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If QPR = 40 , then ACB is equal to:

A. $$140^ $$
B. $$40^ $$
C. $$70^ $$
D. $$100^ $$
Answer» E.
77.

O is the center and are ABC subtends an angle of 1300 at O. AB is extended to P, then PBC is

A. $$75^ $$
B. $$ 70^ $$
C. $$65^ $$
D. $$80^ $$
Answer» D. $$80^ $$
78.

What is the measure of the circum radius of a triangle whose sides are 9cm, 40cm and 41cm?

A. 6 cm
B. 4 cm
C. 20.5 cm
D. 24.5 cm
Answer» D. 24.5 cm
79.

A, B, C are three angles of a triangle. If A - B =18 , B C = 45 , then, B, A and C are

A. 69 ,88 , 24
B. 69 , 88 , 23
C. 69 , 87 , 24
D. 69 , 89 , 22
Answer» D. 69 , 89 , 22
80.

O is the incentre of ABC and A = 30 then BOC is

A. 100
B. 105
C. 110
D. 90
Answer» C. 110
81.

If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm, then the length of the median to its greatest side is

A. 8 cm
B. 6 cm
C. 5 cm
D. 4.8 cm
Answer» D. 4.8 cm
82.

When a diagonal of a square is 24 cm then find out of its perimeter.

A. 28 cm
B. 48 2 cm
C. 36 2 cm
D. 46 2 cm
Answer» C. 36 2 cm
83.

Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?

A. 60
B. 45
C. 75
D. 90
Answer» C. 75
84.

The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:

A. 4 cm
B. 5 cm
C. 6 cm
D. 8 cm
Answer» C. 6 cm
85.

AB is a chord to a circle and PAT is the tangent to the circle at A. If BAT=75 and BAC=45 and C being a point on the circle, then ABC is equal to

A. 40
B. 45
C. 60
D. 70
Answer» D. 70
86.

Find the inradius of a triangle having sides 13, 14 and 15 units.

A. 4
B. 6
C. 8
D. 42
Answer» B. 6
87.

In a regular polygon, the exterior and interior angles are in the ration 1:4.The number of sides of the polygon is

A. 5
B. 10
C. 3
D. 8
Answer» C. 3
88.

The length of two chords AB and AC of a circle are 8 cm and 6 cm and BAC=90 , then the radius of circle is

A. 25 cm
B. 20 cm
C. 4 cm
D. 5 cm
Answer» E.
89.

Find out the equation of line which is perpendicular to 2x - 3y = 5 and passes through point (1,1).

A. 3x 2y = 7
B. 2y + 3x = 35
C. 2y + 3x = 7
D. 2y - 3x = 35
Answer» C. 2y + 3x = 7
90.

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ABC. Then the ratio of the areas of DEF and ABC is D, E, F.

A. $$ {1 over2}$$
B. $$ {1 over3}$$
C. $$ {1 over4}$$
D. $$ {1 over5}$$
Answer» D. $$ {1 over5}$$
91.

An octahedron has 12 edges, How many vertices does it have,

A. 10
B. 6
C. 8
D. 18
Answer» C. 8
92.

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

A. 26
B. 39
C. 13
D. 52
Answer» C. 13
93.

In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 cm2. what is the area (in cm2) of triangle FGE?

A. 26
B. 39
C. 13
D. 52
Answer» D. 52
94.

An arc of 30 in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its center is

A. 5
B. 6
C. 3
D. 4
Answer» B. 6
95.

The length of a chord which is at a distance of 12 cm from the center of a circle of radius 13 cm is

A. 6 cm
B. 12 cm
C. 10 cm
D. 5 cm
Answer» D. 5 cm
96.

If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?

A. Isosceles or equilateral
B. Isosceles
C. Right angled
D. Equilateral
Answer» B. Isosceles
97.

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then

A. PQ + QR = PQR + AB
B. PQ + QR = PR + 2AB
C. PQR must be a right angled
D. PQR must be an equilateral triangle
Answer» E.
98.

If AD, BE and CF are medians of ABC, then which one of the following statements is correct?

A. AD + BE + CF = AB + BC + CA
B. AD + BE + CF = 2 ( AB + BC + CA )
C. ( AD + BE + CF ) < AB + BC + CA
D. AD + BE + CF > AB + BC + CA
Answer» D. AD + BE + CF > AB + BC + CA
99.

In a ABC A : B : C = 2 : 3 : 4 . A line CD drawn || to AB, then the ACD is:

A. 80
B. 20
C. 40
D. 60
Answer» D. 60
100.

P and Q are center of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the center of another circle of radius x cm, which touches each of the above two circles externally. If PRQ = 90 , then the value of x is

A. 7 cm
B. 8 cm
C. 4 cm
D. 6 cm
Answer» E.