Explore topic-wise MCQs in Aptitude.

This section includes 186 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

1.

If water is freezed to become ice, its volume is increased by 10%, then if the ice is melted to water again, its volume will be decreased by :

A. 9%
B.
C. 8%
D.
Answer» C. 8%
Discussion
2.

A right circular cylinder is formed by rolling a rectangular paper 12 cm long and 3 cm wide along its length. The radius of the base of the cylinder will be

A.
B.
C. 2 cm
Answer» C. 2 cm
Discussion
3.

A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by : (use = 22/7)

A.
B. 14 cm.
C.
Answer» E.
Discussion
4.

In an equilateral triangle ABC of side 10cm, the side BC is trisected at D. Then the length (in cm) of AD is

A. 3
B. 7
C.
Answer» D.
Discussion
5.

The base and altitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the opposite vertex is

A.
B. 5 cm
C.
D. 7 cm
Answer» C.
Discussion
6.

One acute angle of a right angled triangle is double the other. If the length of its hypotenuse is 10 cm, then its area is

A. 25 cm
B.
C. 25
D. cm
Answer» B.
Discussion
7.

If S1 and S2 be the surface area of a sphere and the curved surface area of the circumscribed cylinder respectively, then S1 is equal to

A. S
Answer» C.
Discussion
8.

In ABC, D and E are two points on the sides AB and AC respectively so that DE||BC and
AD
 =
2
BD3

Then
the area of trapezium DECB
is equal to
the area of ABC
A. 5/9
B.
C. 21/25
D.
E.
Answer» C. 21/25
Discussion
9.

ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of AED is

A.
B.
C.
Answer» E.
Discussion
10.

If the area of a circle is A, radius of the circle is r and circumference of it is C, then

A. rC = 2A
B.
C.
Answer» C.
Discussion
11.

A sphere of radius 2 cm is put into water contained in a cylinder of base-radius 4 cm. If the sphere is completely immersed in the water, the water level in the cylinder rises by

A.
B.
C. 2 cm
Answer» D.
Discussion
12.

A solid spherical copper ball, whose diameter is 14 cm, is melted and converted into a wire having diameter equal to 14 cm. The length of the wire is

A. 27 cm
B.
C. 15 cm
D.
Answer» E.
Discussion
13.

The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height
2
1
cm
3

is made. What will be the diameter of the base of the cylinder ?

A. 14 cm
B.
C. 28 cm
Answer» C. 28 cm
Discussion
14.

Each edge of a regular tetrahedron is 4 cm. Its volume (in cubic cm) is

A. 16
B. 16
Answer» D.
Discussion
15.

If V1, V2 and V3 be the volumes of a right circular cone, a sphere and a right circular cylinder having the same radius and same height, then

A.
B. None of these
Answer» F.
Discussion
16.

The portion of a ditch 48m long, 16.5 m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter 4 m and length 56 m is (Take = 22/7)

A.
B.
C.
Answer» D.
Discussion
17.

A spherical ball of radius 1 cm is dropped into a conical vessel of radius 3 cm and slant height 6 cm. The volume of water (in cm ), that can just immerse the ball, is

A.
B. 3
C.
Answer» B. 3
Discussion
18.

The base of a right pyramid is an equilateral triangle of side 4 cm each. Each slant edge is 5 cm long. The volume of the pyramid is

A.
B.
C. None of these
Answer» F.
Discussion
19.

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m .
(Taking = 22/7) . Find the ratio of its diameter to its height.

A. 7 : 6
B. 6 : 7
C. 3 : 7
D. 7 : 3
Answer» E.
Discussion
20.

Two right circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is :

A.
B. : 1
C. 2 : 1
D. 1 : 2
E. 1 : 4
Answer» B. : 1
Discussion
21.

A cylinder has 'r' as the radius of the base and 'h' as the height. The radius of base of another cylinder, having double the volume but the same height as that of the first cylinder must be equal to

A. r/
B. 2r
C. r
D.
Answer» D.
Discussion
22.

If the length and breadth of a rectangle are increased by 10% and 8% respectively, then the area of the rectangle increases by :

A.
B. 18%
C.
Answer» C.
Discussion
23.

If diagonal of a cube is 12 cm, then its volume in cubic cm is:

A. 8
B. 12
C. 24
D. 3
Answer» B. 12
Discussion
24.

A cone of height 7 cm and base radius 1 cm is carved from a cuboidal block of wood 10 cm 5cm 2 cm. [Assuming = 22/7] The percentage wood wasted in the process is :

A.
B.
Answer» B.
Discussion
25.

The perimeter (in metres) of a semicircle is numerically equal to its area (in square metres). The length of its diameter is (take = 22/7)

A.
B.
Answer» D.
Discussion
26.

The perimeter of a semi-circular area is 18cm, then the radius is :
(using = 22/7)

A.
B.
C.
D. 6 cm
E. 4 cm
Answer» C.
Discussion
27.

If the sides of an equilateral triangle are increased by 20%, 30% and 50% respectively to form a new triangle, the increase in the perimeter of the equilateral triangle is
A. 25%
B.
C. 75%
D.
E. 100%
Answer» C. 75%
Discussion
28.

What is the volume of a cube (in cubic cm) whose diagonal measures 4 3 cm?

A. 16
B. 27
C. 64
D. 8
Answer» D. 8
Discussion
29.

The height of a triangle is increased by 10%. To retain the original area of the triangle, its corresponding base must be decreased by

A. 10%
B.
C.
Answer» E.
Discussion
30.

If x is the area, y is the circumference and z is the diameter of
circle then the value of x/yz is

A. 4 : 1
B. 1 : 4
C. 1 : 2
D.
E. 2 : 1
Answer» C. 1 : 2
Discussion
31.

Length of a side of a square inscribed in a circle is a 2 units. The circumference of the circle is

A. 2 a units
B.
C. a units
D. 4 a units
E.
Answer» B.
Discussion
32.

The ratio of circumference and diameter of a circle is 22 : 7. If the circumference be
1
1
 m
7
then the radius of the circle is :

A.
B. 1 m
Answer» D.
Discussion
33.

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is

A. 50
B. cm
Answer» C.
Discussion
34.

A cylindrical can whose base is horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put, is

A.
B.
Answer» D.
Discussion
35.

The area of an equilateral triangle is 400 3 sq.m. Its perimeter is :

A. 120 m
B.
C. 150 m
D. 90 m
E. 135 m
Answer» B.
Discussion
36.

Three equal circles of unit radius touch one another. Then the area of the circle circumscribing the three circles is

A. 6 (2 +
B. )
C.
D. 3 (2 +
E. )
Answer» D. 3 (2 +
Discussion
37.

ABC is an equilateral triangle. P and Q are two points on AB and AC respectively such that PQ || BC . If PQ = 5 cm, then area of APQ is :

A. 25
B. sq. cm
Answer» D.
Discussion
38.

One side of a square is increased by 30%. To maintain the same area, the other side will have to be decreased by

A.
B.
C. 30%
D.
E. 15%
Answer» B.
Discussion
39.

Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44m wide. The time taken (in hours) for the rise in the level of water in the tank to be 7 cm is

A. 2
B.
C.
D. 3
E.
Answer» B.
Discussion
40.

If the altitude of a triangle is increased by 10% while its area remains same, its corresponding base will have to be decreased by

A. 10 %
B.
C. 9 %
D.
E.
Answer» D.
Discussion
41.

A wire, when bent in the form of a square, encloses a region having area 121 cm2. If the same wire is bent into the form of a circle, then the area of the circle
is (Take = 22/7)

A. 144 cm
B. 180 cm
C. 154 cm
D. 176 cm
Answer» D. 176 cm
Discussion
42.

The ratio of base of two triangles is x : y and that of their areas is a : b. Then the ratio of their corresponding altitudes will be:

A.
B. ax : by
C. ay : bx
D.
Answer» D.
Discussion
43.

ABC is an equilateral triangle of side 2 cm. With A, B, C as centre and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by the three arcs is

A.
B.
Answer» D.
Discussion
44.

The area of a right-angled isosceles triangle having hypotenuse 16 2 cm is

A. 144 cm
B. 128 cm
C.
D. 112 cm
E. 110 cm
Answer» C.
Discussion
45.

If the area of the base of a cone is 770 cm and the area of the curved surface is 814 cm , then its volume (in cm ) is :

A. 213
B.
C. 392
D. 550
E. 616
Answer» E. 616
Discussion
46.

360 sq. cm and 250 sq. cm are the area of two similar triangles. If the length of one of the sides of the first triangle be 8 cm, then the length of the corresponding side of the second triangle is

A.
B.
C. 6 cm
Answer» D.
Discussion
47.

Three coins of the same size (radius 1 cm) are placed on a table such that each of them touches the other two. The area enclosed by the coins is

A.
B.
Answer» C.
Discussion
48.

The area of an equilateral triangle inscribed in a circle is 43 cm2. The area of the circle is

A.
B.
C.
Answer» B.
Discussion
49.

The area of the greatest circle, which can be inscribed in a square whose perimeter is 120 cm, is :

A.
B.
C.
Answer» B.
Discussion
50.

The length of each side of an equilateral triangle is 14 3 cm. The area of the incircle (in cm ), is

A. 450
B.
C. 308
D. 154
E. 77
Answer» D. 154
Discussion