Explore topic-wise MCQs in Maths.

This section includes 126 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

1.

The ratio of inradius and circumradius of an equilateral triangle is:

A. 1:2
B. 2:1
C. $$1: sqrt { 2} $$
D. $$ sqrt { 2} :1 $$
Answer» B. 2:1
2.

In circular measure, the value of the angle 11015 is :

A. $${ ^0} over 16$$
B. $${ ^0} over 8$$
C. $${ ^0} over 4$$
D. $${ ^0} over 12$$
Answer» B. $${ ^0} over 8$$
3.

If the area of a triangle is 1176 cm2 and the ratio of base corresponding altitude is 3 : 4, then the altitude of the triangle is :

A. 42 cm
B. 52 cm
C. 54 cm
D. 56 cm
Answer» E.
4.

If the circumference of a circle increases from 4 to 8 , what change occurs in its area?

A. It doubles
B. It triples
C. It quadruples
D. It is halved
Answer» D. It is halved
5.

The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm2. Then its perimeter is -

A. 6 cm
B. 12 cm
C. 8 cm
D. 9 cm
Answer» B. 12 cm
6.

Let ABCD be a quadrilateral. Let the diagonals AC and BD meet at O. Let the perpendicular drawn from A to CD meet CD at E. Further, AO: OC = BO: OD, AB = 30 cm. CD = 40 cm. and the area of the quadrilateral ABCD is 1050 cm2. What is BE equal to?

A. 30 2
B. 40 2
C. 60 2
D. 20 2
Answer» B. 40 2
7.

In a triangle, two sides of 4 cm and 3 cm are at right angle. If the triangle is revolved along the 4 cm side, the curved surface area of the cone so formed will be

A. 62.8 cm2
B. 52.6 cm2
C. 64. 8 cm2
D. 67.6 cm2
E. 66.6 cm2
Answer» B. 52.6 cm2
8.

The volume of the largest right circular cone that can be cut out of a cube of edge 14 cm.

A. $$512.23 cm^3$$
B. $$812.67 cm^3$$
C. $$612.67 cm^3$$
D. $$718.67 cm^3$$
Answer» E.
9.

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

A. $$70^0$$
B. $$60^0$$
C. $$90^0$$
D. $$75^0$$
Answer» B. $$60^0$$
10.

Two circle C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If BDC = 120o, then the value of ABP is equal to -

A. $$120^o$$
B. $$40^o$$
C. $$110^o$$
D. $$60^o$$
Answer» E.
11.

The area of the square inscribed in a circle of radius 8 cm is-

A. 256 sq. cm
B. 250 sq. cm
C. 128 sq. cm
D. 125 sq. cm
Answer» D. 125 sq. cm
12.

The parallel sides of a trapezium are in a ratio 2 : 3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq. cm., the longer of the parallel sides is of length?

A. 56 cm
B. 36 cm
C. 42 cm
D. 48 cm
Answer» E.
13.

If the right prism having trapezium base, whose parallel side are 13cm and 15cm respectively and the distance between them is 12cm. If the volume of the prism is 2150.4cm^z, then find the height of the prism.

A. 15.2cm
B. 15.6cm
C. 12.8cm
D. 14.2cm
Answer» D. 14.2cm
14.

A rhombus has diagonals of length 8 cm and 6cm. Find its perimeter.

A. 24 cm
B. 28cm
C. 18 cm
D. 20cm
Answer» E.
15.

The perimeter of a square is 20cm. A rectangle has the same width as the square. The length of the rectangle is double its width. The area, in square cm, of the rectangle is

A. 100
B. 25
C. 30
D. 50
Answer» E.
16.

The side of a square is 10cm. How many times will the new perimeter become if the side of the square is doubled?

A. 4 times
B. 3 times
C. 2 times
D. will remain the same
Answer» D. will remain the same
17.

Area of the smallest square that can circular ring enclosed Ween of area 616 cm2 is

A. 864 cm^2
B. 764 cm^2
C. 784 cm^2
D. 824 cm^2
Answer» D. 824 cm^2
18.

Find the number of quadrilateral that can be formed by joining, the vertices of a polygon of 12 sides.

A. 500
B. 485
C. 495
D. 475
E. 490
Answer» D. 475
19.

Find the sum of perimeters of an equilateral triangle and a regular pentagon whose both side is 4 cm.

A. 36 cm
B. 62 cm
C. 32 cm
D. 252 cm
Answer» D. 252 cm
20.

The perimeter of two circles are in the ratio 2:3, then the ratio of their areas is______?

A. 2:3
B. 4:9
C. 3:2
D. 9:4
Answer» C. 3:2
21.

The perimeter of a square with diagonal 29 2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

A. 820
B. 825
C. 625
D. 725
E. 835
Answer» C. 625
22.

Find the perimeter of the triangle whose sides are 4 meter , 5 meter and 60cm .

A. 3600 meter
B. 6.9 meter
C. 69 meter
D. 9.6 meter
Answer» E.
23.

The length & breadth of a rectangle is in ratio 4 : 7. If perimeter is 88 cm. find area of rectangle.

A. $$ {414{ cm^{2}}}$$
B. $$ {336{ cm^{2}}}$$
C. $$ {448{ cm^{2}}}$$
D. $$ {524{ cm^{2}}}$$
E. $$ {396{ cm^{2}}}$$
Answer» D. $$ {524{ cm^{2}}}$$
24.

If the area of a rhombus is 240 square feet if it's one diagonal is 16 feet, then what is the length (in meters) of the side of the rhombus?

A. 5.1 meter
B. 4.1 meter
C. 5.6 meter
D. 6.8 meter
Answer» B. 4.1 meter
25.

Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touch them at the points P and Q respectively. Then the area of square with one side PQ, is:

A. 72 $$cm^2$$
B. 144 $$cm^2$$
C. 97 $$cm^2$$
D. 194 $$cm^2$$
Answer» C. 97 $$cm^2$$
26.

If A : B = 1 : 2 , B : C = 3 : 4 , C : D = 6 : 9 and D : E = 12:16 then A : B : C : D : E is equals to -

A. 3 : 6 : 8 : 12 : 16
B. 1 : 3 : 6 : 12 : 16
C. 2 : 4 : 6 : 9 : 16
D. 3 : 4 : 8 : 12 : 16
Answer» B. 1 : 3 : 6 : 12 : 16
27.

The perimeter of a square and equilateral triangle is the same. If the diagonal of the square is $$ {6 sqrt {2}} $$ cm, then the area (square cm) of the triangle is

A. $$ {9 sqrt{3}}$$
B. $$ {16 sqrt{3}}$$
C. $$ {6 sqrt{3}}$$
D. $$ {4 sqrt{3}}$$
Answer» C. $$ {6 sqrt{3}}$$
28.

The area ( in m ) of the square which has the same perimeter as a rectangle whose length is 48 m and is 3 times its breadth is :

A. 1600
B. 1042
C. 1000
D. 1024
Answer» E.
29.

The price of $$ {4{1 over2}}$$ meter of cloth is Rs.$$ {60{3 over4}}$$. Find the cost per meter.

A. $$ {15{1 over2}}$$
B. $$ {13{1 over2}}$$
C. $$ {14{3 over4}}$$
D. $$ {13{3 over4}}$$
Answer» C. $$ {14{3 over4}}$$
30.

The perimeter of a right-angled triangle is 60 cm, and its hypotenuse is 26 cm. Find its area?

A. $$112 cm^2$$
B. $$120 cm^2$$
C. $$136 cm^2$$
D. $$150 cm^2$$
Answer» C. $$136 cm^2$$
31.

If the area of a circle is 154 m2 then its radius will be

A. 7 cm.
B. 5 cm
C. 14 cm.
D. 3.5 cm
Answer» B. 5 cm
32.

If initially, entire pie would have been cut into (X + 3) identical pieces then what would have been area of each piece?

A. 0.64 cm
B. 0.56 cm
C. 0.28 cm
D. 0.42 cm
E. None of these
Answer» C. 0.28 cm
33.

Find out the circumference of the original pie?

A. $$ {44 over 25}$$ cm
B. $$ {88 over 25}$$ cm
C. $$ {176 over 25}$$ cm
D. $$ {132 over 25}$$ cm
E. None of these
Answer» F.
34.

Find out the value of X.

A. 10
B. 12
C. 8
D. 6
E. None of these
Answer» D. 6
35.

On increasing the length of each side of a square by 20%, the percentage increase in its area is?

A. 44 %
B. 40 %
C. 20 %
D. 22 %
Answer» B. 40 %
36.

A 6 meter wide pathway has been constructed along the periphery and inside of a square field of length 50 meter. The total expenditure to cover this pathway with red sand at the rate of Rs. 30 per square meter, is?

A. Rs. 75000
B. Rs. 58080
C. Rs. 31680
D. Rs.1080
Answer» D. Rs.1080
37.

A bucket of capacity 2000mL is to be filled by using containers measuring 200mL and 300mL. Which one of the following of combinations containers is not correct for filling the bucket completely by the containers of 200mL and 300mL respectively

A. 1, 6
B. 4, 4
C. 7, 2
D. 6, 3
Answer» E.
38.

The perimeter of two squares are 24 cm and 32 cm . The perimeter (in cm) of a third square equal in area to the sum of the areas of these squares is:

A. 32
B. 48
C. 45
D. 40
Answer» E.
39.

If a wire is bent into the shape of a square, the area of the square is 81 sq. cm. When the wire is bent into a semicircular shape, the area of the semicircle is

A. 66
B. 88
C. 67
D. 77
Answer» D. 77
40.

The length and breadth of a rectangular field are in the ratio of 3 : 2 . If the perimeter of the field is 80 m, its breadth (in meters) is:

A. 18
B. 16
C. 10
D. 24
Answer» C. 10
41.

The sides of a rectangular plot are in the ratio 5: 4 and its area is equal to 500 sq.m. The perimeter of the plot is:

A. 80 m
B. 100 m
C. 90 m
D. 95 m
Answer» D. 95 m
42.

The diameter of a toy wheel is 14 cm, what is the distance travelled by it in 15 revolutions?

A. 880 cm
B. 660 cm
C. 600 cm
D. 560 cm
Answer» C. 600 cm
43.

If the perimeter of a rectangle is 24cm with length being twice as its breadth, find its area.

A. 24 sq.cm
B. 32 sq.cm
C. 28 sq.cm
D. 36 sq.cm
Answer» C. 28 sq.cm
44.

The perimeter of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of two square, is

A. 24 cm
B. 42 cm
C. 40 cm
D. 20 cm
Answer» B. 42 cm
45.

The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq.cm, Find the length of the greater line segment if one is longer than the other by 2cm.

A. 7 cm
B. 9 cm
C. 11 cm
D. 16 cm
Answer» C. 11 cm
46.

If the length and breadth of a rectangle are in the ratio 3:2 and its perimeter is 20 cm, then the area of the rectangle (in cm2) is

A. $$ {24} cm^2 $$
B. $$ {36} cm^2 $$
C. $$ {48} cm^2 $$
D. $$ {12} cm^2 $$
Answer» B. $$ {36} cm^2 $$
47.

If the area of a circle inscribed in a square is 9 $$ {} cm^2 $$, then the area of the square is

A. $$ {24} cm^2 $$
B. $$ {30} cm^2 $$
C. $$ {36} cm^2 $$
D. $$ {81} cm^2 $$
Answer» D. $$ {81} cm^2 $$
48.

If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 $$ cm^2 $$ respectively, then the maximum length of a stick that can be placed inside the box is

A. 5 2 cm
B. 5 cm
C. 6 cm
D. 2 5 cm
Answer» B. 5 cm
49.

A Solid cylinder has total surface area of 462 sq.cm. Its curved surface area is one third of the total surface area. Then the radius of the cylinder is

A. 7cm
B. 3.5 cm
C. 9 cm
D. 11 cm
Answer» B. 3.5 cm
50.

Balls of marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?

A. 50
B. 150
C. 250
D. 350
Answer» C. 250