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.

251.

A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder?

A. 154
B. 308
C. 462
D. 616
Answer» C. 462
Discussion
252.

A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm2) cuboid?

A. 215633
B. 215693
C. 214833
D. 204833
Answer» C. 214833
Discussion
253.

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

A. 6 cm and 12 cm
B. 4 cm and 8 cm
C. 3 cm and 6 cm
D. 2 cm and 4 cm
Answer» D. 2 cm and 4 cm
Discussion
254.

A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?

A. 0.047534722222222
B. 0.046747685185185
C. 0.047453703703704
D. no answer
Answer» E.
Discussion
255.

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism?

A. 1125
B. 6750
C. 4500
D. 3375
Answer» E.
Discussion
256.

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in sq.cm) of the pyramid?_x005F_x000D_  _x005F_x000D_

A. 48[(√3) + 1]
B. 24[4 + (√3)]
C. 28[6 + (√3)]
D. 32[3 + (√3)]
Answer» E.
Discussion
257.

A shuttle cock used for playing badminton has the shape of a frustum of a cone mounted on a hemisphere. The external diameters of the frustum are 5cm and 2cm, the height of the entire shuttle cock is 7cm. Find the external surface area.

A. 80 sq.cm
B. 73.38 sq.cm
C. 74.29 sq.cm
D. 74.30 sq.cm
Answer» B. 73.38 sq.cm
Discussion
258.

A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ?

A. 14.69 cm
B. 29.39 cm
C. 18.65 cm
D. 22.21 cm
Answer» C. 18.65 cm
Discussion
259.

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A. 0.12569444444444
B. 0.04375
C. 0.29375
D. 0.12986111111111
Answer» D. 0.12986111111111
Discussion
260.

A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

A. 25
B. 5
C. 0
D. 10
Answer» B. 5
Discussion
261.

A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process whatpercent of material is wasted?

A. 48.5
B. 37.5
C. 57.8
D. 64
Answer» D. 64
Discussion
262.

A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?

A. 96 + 64√2
B. 80 + 64√2
C. 96 + 48√2
D. 80 + 48√2
Answer» B. 80 + 64√2
Discussion
263.

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

A. 150
B. 200
C. 300
D. 250
Answer» C. 300
Discussion
264.

A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Heoght of small cylinder is 5 cm. What is the total surface area of the remaining part?_x005F_x000D_

A. 3740
B. 3432
C. 3124
D. 2816
Answer» C. 3124
Discussion
265.

A solid has 12 vertices and 30 edges. How many faces does it have?

A. 22
B. 24
C. 26
D. 20
Answer» E.
Discussion
266.

A solid right circular cone of radius 10 cm and height 8 cm is put inside a cylindrical vessel of radius 11 cm and height 9 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

A. 5168.96 cubic cms
B. 2584.48 cubic cms
C. 7753.44 cubic cms
D. 1292.24 cubic cms
Answer» C. 7753.44 cubic cms
Discussion
267.

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π=22/7)

A. 3√3 : 4
B. 4 : 3√3
C. 3 : 4√3
D. 1 : 12√3
Answer» B. 4 : 3√3
Discussion
268.

A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?

A. 4.2 (23)
B. 2.1 23
C. 2.1 43
D. 4.2 43
Answer» C. 2.1 43
Discussion
269.

A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area ?

A. 77
B. 154
C. 87
D. 38.5
Answer» B. 154
Discussion
270.

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

A. 5√5 cm
B. 5√3 cm
C. 5√15 cm
D. 5√10 cm
Answer» D. 5√10 cm
Discussion
271.

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is

A. 19 cm
B. 21 cm
C. 23 cm
D. 25 cm
Answer» B. 21 cm
Discussion
272.

A sphere is split in the ratio 1:3. The larger part is molded into a cone having a height equal to the radius of its base, while the smaller part is molded into a cylinder having a height equal to the radius of its base. What would be the ratio of the radius of the base of the cone to the height of the cylinder?_x005F_x000D_

A. 1 : 33
B. 33 : 1
C. 0.12569444444444
D. 93 : 1
Answer» E.
Discussion
273.

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?

A. 844.5
B. 1732.5
C. 1039.5
D. 1115.6
Answer» C. 1039.5
Discussion
274.

A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold._x005F_x000D_

A. 4929 cub.cm
B. 4939 cub.cm
C. 4932 cub.cm
D. 4930 cub.cm
Answer» C. 4932 cub.cm
Discussion
275.

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

A. 49Ï€
B. 77Ï€
C. 121Ï€
D. 98Ï€
Answer» E.
Discussion
276.

A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ?

A. 175
B. 345
C. 265
D. 300
Answer» E.
Discussion
277.

A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

A. 1478.4 sq mts
B. 2217.6 sq mts
C. 369.6 sq mts
D. 739.2 sq mts
Answer» E.
Discussion
278.

A tent is to be built in the form of a cylinder of radius 5 m surmounted by a cone of the same radius. If the height of the cylindrical part is 6 m and slant height of the conical part is 10 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

A. 829.72 sq mts
B. 414.86 sq mts
C. 1244.58 sq mts
D. 207.43 sq mts
Answer» C. 1244.58 sq mts
Discussion
279.

A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?

A. 3
B. 4
C. 5
D. 2
Answer» B. 4
Discussion
280.

A wheel has diameter 84 cm. The number of complete revolution it will take to cover 792 m is

A. 330
B. 300
C. 320
D. 350
Answer» C. 320
Discussion
281.

A wooden bowl is in shape of a hollow hemisphere of internal radius 7 cm and thickness 1 cm. What is the total surface area (in sq.cm) of the bowl? (Take:  = 22/7)

A. 710.29
B. 757.43
C. 355.14
D. 908.91
Answer» C. 355.14
Discussion
282.

A triangle is circumscribed on the circle of centre O in such a way that sides AB = 12 cm, BQ = 7 cm and CQ = 5 cm. Calculate the lengtth (in cm) of side AC._x005F_x000D_

A. 8
B. 10
C. 12
D. 14
Answer» C. 12
Discussion
283.

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

A. 10
B. 12
C. 13
D. 15
Answer» C. 13
Discussion
284.

ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?

A. 145
B. 290
C. 435
D. 580
Answer» C. 435
Discussion
285.

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, Then ∠AED measures

A. 35°
B. 45°
C. 55°
D. 90°
Answer» D. 90°
Discussion
286.

ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?

A. 90
B. 120
C. 135
D. 145
Answer» C. 135
Discussion
287.

ABCD is a cyclic trapezium in which AD || BC. If ∠ABC = 70°, then ∠BCD is

A. 110°
B. 80°
C. 70°
D. 90°
Answer» D. 90°
Discussion
288.

ABCD is a quadrilateral in which BD and AC are diagonals then

A. AB + BC + CD + AD< AC + BD
B. AB + BC + CD + DA>AC + BD
C. AB + BC + CD + DA=AC + BD
D. AB + BC + CD + DA>2(AC + BD)
Answer» C. AB + BC + CD + DA=AC + BD
Discussion
289.

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel. What is the area of triangle ADC?

A. 126 SQ.CM
B. 124 SQ.CM
C. 122 SQ.CM_x005F_x000D_
D. 120 SQ.CM
Answer» B. 124 SQ.CM
Discussion
290.

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel What is the area of quadrilateral ABCD?

A. 300 SQ.CM_x005F_x000D_
B. 306 SQ.CM
C. 312 SQ.CM
D. 316 SQ.CM
Answer» E.
Discussion
291.

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?

A. 4 cm
B. 5 cm
C. 6 cm
D. 7 cm
Answer» D. 7 cm
Discussion
292.

An angle in a semicircle is

A. 45°
B. 60°
C. 90°
D. 120°
Answer» D. 120°
Discussion
293.

ABCD is an isosceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm2) of trapezium?

A. 36
B. 44
C. 88
D. 144
Answer» C. 88
Discussion
294.

AD is the Median of Δ ABC. If O is the centroid and AO = 10 cm then OD is

A. 5 cm
B. 20 cm
C. 10 cm
D. 30 cm
Answer» B. 20 cm
Discussion
295.

ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

A. 0.044444444444444
B. 0.043055555555556
C. 0.047222222222222
D. 0.052777777777778
Answer» E.
Discussion
296.

ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If Dp = 13, CP = 10_x005F_x000D_

A. √105
B. √133
C. 12
D. 10
Answer» B. √133
Discussion
297.

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 centre is

A. 3°
B. 4°
C. 5°
D. 6°
Answer» D. 6°
Discussion
298.

An angle is greater than its complementary by 20°. What will be the measure of the angle?

A. 55°
B. 35°
C. 100°
D. 80°
Answer» B. 35°
Discussion
299.

An angle is greater than its complementary angle by 40°. Find the measure of the angle?

A. 25°
B. 65°
C. 130°
D. 50°
Answer» C. 130°
Discussion
300.

An angle is 1/3 its supplementary angle. Find the measure of the angle?

A. 45°
B. 90°
C. 135°
D. 22.5°
Answer» B. 90°
Discussion