Explore topic-wise MCQs in Arithmetic Ability.

This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

201.

40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 cub.m, then what will be the rise (in cm) in level of the pool?

A. 25
B. 26.66
C. 27.33
D. 28.5
Answer» C. 27.33
Discussion
202.

10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?

A. 24
B. 12
C. 8
D. 6
Answer» E.
Discussion
203.

88 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be ?

A. 112 mts
B. 84 mts
C. 96 mts
D. 108 mts
Answer» C. 96 mts
Discussion
204.

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

A. 84
B. 90
C. 168
D. 336
Answer» B. 90
Discussion
205.

A chord of length 60 cm is at a distance of 16 cm from the centre of a circle. What is the radius (in cm) of the circle?

A. 17
B. 34
C. 51
D. 68
Answer» C. 51
Discussion
206.

A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

A. 30°
B. 45°
C. 60°
D. 75°
Answer» B. 45°
Discussion
207.

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

A. 8cm
B. 6cm
C. 4cm
D. 12cm
Answer» C. 4cm
Discussion
208.

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area (in sq cm) of the circle?

A. 308
B. 462
C. 154
D. 616
Answer» D. 616
Discussion
209.

A circle has its centre at O . A tangent drawn from a point P , which is situated outside the circle, touches the circle at A. If PA = 4 cm & PO=5 cm, then the length of the radius of the circle is

A. 1 cm
B. 2 cm
C. 3 cm
D. 4 cm
Answer» D. 4 cm
Discussion
210.

A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A. 49
B. 50
C. 53.5
D. 55
Answer» B. 50
Discussion
211.

A circle of diameter 26 cm having the two equal chords of length 10 cm is separated by a distance x cm. Calculate the distance x.

A. 20
B. 22
C. 24
D. 28
Answer» D. 28
Discussion
212.

A closed wooden rectangular box made of 1 cm thick wood has the following outer dimensions : length 22 cm, breadth 17 cm, and height 12cm. It is filled to capacity with cement. What is the volume of the cement in the box?_x005F_x000D_

A. 1488 cu. cm
B. 3000 cu. cm
C. 4488 cu. cm
D. 2880 cu. cm
Answer» C. 4488 cu. cm
Discussion
213.

A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?

A. 2 cm
B. 0.33 cm
C. 0.5 cm
D. 1 cm
Answer» E.
Discussion
214.

A cone is hollowed out of a solid wooden cube of side 6 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A. 159.42 cubic cms
B. 323.15 cubic cms
C. 106.33 cubic cms
D. 210.66 cubic cms
Answer» B. 323.15 cubic cms
Discussion
215.

A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?

A. 384.13 sq cm
B. 576.19 sq cm
C. 192.06 sq cm
D. 288.1 sq cm
Answer» C. 192.06 sq cm
Discussion
216.

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

A. 16 cm
B. 32 cm
C. 5.33 cm
D. 8 cm
Answer» B. 32 cm
Discussion
217.

A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?

A. 20
B. 19
C. 17
D. 22
Answer» B. 19
Discussion
218.

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder._x005F_x000D_ What is the ratio of the volume of the sphere to that of cone?

A. 6√3:1
B. 0.29305555555556
C. 3√3:1_x005F_x000D_
D. 5√3:1
Answer» B. 0.29305555555556
Discussion
219.

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder._x005F_x000D_ What is the ratio of the volume of the cube to that of the cylinder ?

A. 0.16875
B. 0.88611111111111
C. 0.59097222222222
D. 1.8972222222222
Answer» D. 1.8972222222222
Discussion
220.

A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?

A. 286.2
B. 314.32
C. 250.64
D. 386.5
Answer» E.
Discussion
221.

A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?

A. 64
B. 56
C. 48
D. 40
Answer» B. 56
Discussion
222.

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?

A. 11750
B. 14100
C. 18800
D. 23500
Answer» D. 23500
Discussion
223.

A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

A. 6
B. 9
C. 24
D. 30
Answer» D. 30
Discussion
224.

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

A. 5
B. 6
C. 15
D. 7.5
Answer» E.
Discussion
225.

A cylindrical capsule has hemispherical ends of the radii equal to radius of the cylindrical part. If length of the capsule is 40 m and radius 6 m, what is the total surface area of this capsule?

A. 3017.14 sq mts
B. 4525.71 sq mts
C. 1508.57 sq mts
D. 754.29 sq mts
Answer» D. 754.29 sq mts
Discussion
226.

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

A. 3
B. 4
C. 5
D. 6
Answer» E.
Discussion
227.

A cylindrical vessel of height 7 cm and radius 5 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 8 cm what will be the height of this cone?

A. 8.2 cm
B. 16.4 cm
C. 24.6 cm
D. 32.8 cm
Answer» B. 16.4 cm
Discussion
228.

A cylindrical vessel of height 9 cm and radius 7 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 10 cm what will be the height of this cone?

A. 26.46 cm
B. 39.69 cm
C. 13.23 cm
D. 52.92 cm
Answer» D. 52.92 cm
Discussion
229.

A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take π = 22/7)

A. 6.67 cm
B. 5.56 cm
C. 6.94 cm
D. 4.63 cm
Answer» E.
Discussion
230.

A cylindrical vessel of radius 7 cm is partially filled with water. By how much will the water level rise if a sphere of radius 6 cm is completely immersed in this water?

A. 11.76 cm
B. 17.64 cm
C. 23.52 cm
D. 5.88 cm
Answer» E.
Discussion
231.

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A. 720
B. 900
C. 1200
D. 1800
Answer» D. 1800
Discussion
232.

A cylindrical vessel of radius 8 cm is partially filled with water. By how much will the water level rise if a sphere of radius 7 cm is completely immersed in this water?

A. 7.15 cm
B. 14.3 cm
C. 21.45 cm
D. 28.6 cm
Answer» B. 14.3 cm
Discussion
233.

A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total weight of the figure is 21 cm. The ratio of curved surface area of hemisphere and total surface area of cube is 11 : 42. What is the total volume (in cub.cm) of figure?_x005F_x000D_

A. 3318.33
B. 3462.67
C. 3154.67
D. 3248.33
Answer» C. 3154.67
Discussion
234.

A hexagonal prism has 18 edges. How many vertices does it have?

A. 8
B. 12
C. 20
D. 22
Answer» C. 20
Discussion
235.

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is

A. 3.6 kg
B. 3.696 kg
C. 36 kg
D. 36.9 kg
Answer» C. 36 kg
Discussion
236.

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A. 0.084027777777778
B. 0.12638888888889
C. 1.0541666666667
D. 1.1388888888889
Answer» D. 1.1388888888889
Discussion
237.

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A. 0.084027777777778
B. 0.12638888888889
C. 1.0541666666667
D. 1.1388888888889
Answer» D. 1.1388888888889
Discussion
238.

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:

A. 4830
B. 5120
C. 6420
D. 8960
Answer» C. 6420
Discussion
239.

A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its

A. Centroid
B. Incentre
C. Orthocentre
D. Circumcentre
Answer» E.
Discussion
240.

A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A. 30
B. 40
C. 10
D. 20
Answer» C. 10
Discussion
241.

A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?

A. 3√3
B. 6√3
C. 6
D. 3
Answer» B. 6√3
Discussion
242.

A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ?

A. 22/7 x 24/35
B. 22/7 x 36 x 4
C. 22/7 x 36/5
D. 22/7 x 37/21
Answer» B. 22/7 x 36 x 4
Discussion
243.

A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:

A. 30
B. 60
C. 90
D. 120
Answer» E.
Discussion
244.

A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?

A. 54(3 + √3)
B. 36(3 + √3)
C. 48(4 + √3)
D. 24(4 + √3)
Answer» D. 24(4 + √3)
Discussion
245.

A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?_x005F_x000D_

A. 9 square feet
B. 15 square feet
C. 17 square feet
D. 18 square feet
Answer» D. 18 square feet
Discussion
246.

A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?

A. 493
B. 7
C. 14
D. 983
Answer» C. 14
Discussion
247.

A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10√3 cm. What are the total numbers of regular triangular pyramid?

A. 24
B. 20
C. 27
D. 28
Answer» B. 20
Discussion
248.

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

A. 0.047534722222222
B. 0.04744212962963
C. 0.089895833333333
D. 0.046747685185185
Answer» E.
Discussion
249.

A right circular conical structure stands on a circular base of 21m diameter and is 14m in height. The total cost of colour washing for its curved surface at Rs. 6 per sq. m. is(Take Π = 22/7 )

A. 4365
B. 4465
C. 3465
D. 3365
Answer» D. 3365
Discussion
250.

A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?

A. 62
B. 56
C. 48
D. 52
Answer» C. 48
Discussion