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.

651.

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : √5 = 2.23 and π = 22/7 ]

A. 1.42 litres
B. 1.53 litres
C. 1.71 litres
D. 1.82 litres
Answer» C. 1.71 litres
Discussion
652.

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

A. 0.2
B. 0.205
C. 0.62
D. 0.728
Answer» E.
Discussion
653.

The radius of a hemisphere is 14 cm, find its volume?

A. 11498.66 cubic cm
B. 1916.44 cubic cm
C. 2874.67 cubic cm
D. 5749.33 cubic cm
Answer» E.
Discussion
654.

The radius of a hemisphere is 21 cm, what is its volume? (Take π = 22/7)

A. 38808 cubic cms
B. 9702 cubic cms
C. 19404 cubic cms
D. 29106 cubic cms
Answer» D. 29106 cubic cms
Discussion
655.

The radius of a hemisphere is 7 cm, find its volume?

A. 718.67 cubic cm
B. 1437.34 cubic cm
C. 239.56 cubic cm
D. 359.34 cubic cm
Answer» B. 1437.34 cubic cm
Discussion
656.

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

A. 0.12569444444444
B. 0.084027777777778
C. 0.12638888888889
D. 0.16875
Answer» E.
Discussion
657.

The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

A. 1.5 times
B. 3 times
C. 6 times
D. 9 times
Answer» E.
Discussion
658.

The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?

A. 83
B. 89
C. 74
D. 79
Answer» B. 89
Discussion
659.

The radius of the circle circumscribing the three vertices of an equilateral triangle is 12 cm. Determine the height (in cm) of the equilateral triangle

A. 12
B. 14
C. 18
D. 20
Answer» D. 20
Discussion
660.

The radius of the two concentric circles is 5 cm and 13 cm. The tangent to the smaller circle is the chord to the greater circle. What is the length (in cm) of that chord?_x005F_x000D_

A. 12
B. 20
C. 22
D. 24
Answer» E.
Discussion
661.

The radius of two cylinders are in the ratio of 3:2 and their heights are in the ratio 3:7. The ratio of their volumes is :

A. 0.17152777777778
B. 0.29444444444444
C. 1.1854166666667
D. 1.1444444444444
Answer» E.
Discussion
662.

The ratio between the vertical angle and a base angle of an isosceles triangle is 4:3. The value of any one base angle is

A. 18 deg
B. 54 deg
C. 72 deg
D. 10 deg
Answer» C. 72 deg
Discussion
663.

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

A. 0.21388888888889
B. 0.17291666666667
C. 0.12986111111111
D. 0.29861111111111
Answer» E.
Discussion
664.

The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?

A. 247200
B. 269500
C. 312500
D. 341800
Answer» C. 312500
Discussion
665.

The ratio of the volume of two cylinders is 7 : 3 and the ratio of their heights is 7 : 9. If the area of the base of the second cylinder is 154 sq. cm, then what will be the radius (in cm) of the first cylinder?

A. 6√2
B. 6√3
C. 7√2
D. 7√3
Answer» E.
Discussion
666.

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

A. 31276
B. 36194
C. 25182
D. 33264
Answer» E.
Discussion
667.

The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

A. 36
B. 48
C. 76
D. 84
Answer» D. 84
Discussion
668.

The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?

A. 6
B. 8
C. 12
D. 16
Answer» C. 12
Discussion
669.

The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface

A. 40pi sq.m
B. 50pi sq.m
C. 60pi sq.m
D. 70pi sq.m
Answer» D. 70pi sq.m
Discussion
670.

The sum of radii of the two circles is 91 cm and the difference between their area is 2002 cm2 . What is the radius (in cm) of the larger circle?

A. 56
B. 42
C. 63
D. 49
Answer» E.
Discussion
671.

The sum of the lengths of the edges of a cube is equal to twice the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

A. 13.5 units
B. 9 units
C. 27 units
D. 10.5 units
Answer» B. 9 units
Discussion
672.

The surface area of a sphere is 2464 cm². Find its diameter (in cm).

A. 14
B. 56
C. 28
D. 42
Answer» D. 42
Discussion
673.

The surface area of a cube is 1734 sq. cm. Find its volume

A. 2334 cubic.cm
B. 3356 cubic.cm
C. 4913 cubic.cm
D. 3478 cubic.cm
Answer» D. 3478 cubic.cm
Discussion
674.

The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume pf the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is

A. 31.5 units
B. 36 units
C. 27 units
D. 18 units
Answer» C. 27 units
Discussion
675.

The surface area of a sphere is 5544 cm2. Find its diameter (in cm).

A. 42
B. 21
C. 84
D. 63
Answer» B. 21
Discussion
676.

The surface area of a sphere is 5544 sq.cm. Find its diameter (in cm).

A. 42
B. 21
C. 84
D. 63
Answer» B. 21
Discussion
677.

The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?

A. √3024
B. 184
C. 160
D. 92
Answer» D. 92
Discussion
678.

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

A. 6√3
B. 8√3
C. 9
D. 9√3
Answer» E.
Discussion
679.

The total surface area of a cube is 181.5 cm². Find its side (in cm).

A. 6.5
B. 4.5
C. 7.5
D. 5.5
Answer» E.
Discussion
680.

The total surface area of a cube is 253.5 sq.cm. Find its side (in cm)._x005F_x000D_

A. 7.5
B. 5.5
C. 6.5
D. 8.5
Answer» D. 8.5
Discussion
681.

The total surface area of a cube is 337.5 cm². Find its side (in cm).

A. 8.5
B. 6.5
C. 5.5
D. 7.5
Answer» E.
Discussion
682.

The total surface area of a cube is 73.5 sq.cm. Find its side (in cm).

A. 3.5
B. 4.5
C. 7.5
D. 5.5
Answer» B. 4.5
Discussion
683.

The total surface area of a cuboid is 376 sq cm. Find its volume if its length and breadth are 10 cm and 8 cm respectively?

A. 960 cubic cms
B. 240 cubic cms
C. 480 cubic cms
D. 720 cubic cms
Answer» D. 720 cubic cms
Discussion
684.

The total surface area of a hemisphere is 166.32 sq cm, find its radius?

A. 4.2 cm
B. 8.4 cm
C. 1.4 cm
D. 2.1 cm
Answer» B. 8.4 cm
Discussion
685.

The total surface area of a hemisphere is 166.32 sq cm, find its curved surface area?

A. 221.76 sq cm
B. 36.96 sq cm
C. 110.88 sq cm
D. 55.44 sq cm
Answer» D. 55.44 sq cm
Discussion
686.

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

A. 21
B. 84
C. 42
D. 63
Answer» C. 42
Discussion
687.

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)

A. 616 sq cms
B. 154 sq cms
C. 308 sq cms
D. 462 sq cms
Answer» D. 462 sq cms
Discussion
688.

The triangle ABC and DEF are similar to each other. The measure of the angle A and E is 67 and 83 degree respectively. What is the value of angle C?

A. 20°_x005F_x000D_
B. 30°
C. 40°
D. 50°
Answer» C. 40°
Discussion
689.

The total surface area of a hemisphere is 462 sq.cm. Find its diameter (in cm).

A. 7
B. 28
C. 21
D. 14
Answer» E.
Discussion
690.

The total surface area of a hemisphere is 41.58 sq cm, find its radius.

A. 4.2 cm
B. 0.7 cm
C. 1.05 cm
D. 2.1 cm
Answer» E.
Discussion
691.

The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.

A. isosceles triangle
B. equilateral triangle
C. right angled triangle
D. obtuse angled triangle
Answer» C. right angled triangle
Discussion
692.

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?

A. 50√5
B. 100
C. 75√7
D. 175
Answer» D. 175
Discussion
693.

The volume of a cube is 166.375 cm3. Find its side (in cm).

A. 6.5
B. 4.5
C. 7.5
D. 5.5
Answer» E.
Discussion
694.

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:

A. 6.25pi
B. 6.75pi
C. 5pi
D. 7pi
Answer» B. 6.75pi
Discussion
695.

The volume of a cuboid is 320 cubic cm. Find its total surface area if its length and breadth are 10 cm and 8 cm respectively?

A. 608 sq cms
B. 304 sq cms
C. 152 sq cms
D. 456 sq cms
Answer» C. 152 sq cms
Discussion
696.

The volume of a hemisphere is 19404 cm3. Find its diameter (in cm).

A. 42
B. 21
C. 84
D. 63
Answer» B. 21
Discussion
697.

The volume of a hemisphere is 2425.5 cm³. Find its diameter (in cm)._x005F_x000D_

A. 10.5_x005F_x000D_
B. 42
C. 21
D. 31.5
Answer» D. 31.5
Discussion
698.

The volume of a hemisphere is 5749.33 cm³. Find its diameter (in cm).

A. 14
B. 56
C. 42
D. 28
Answer» E.
Discussion
699.

The volume of a hemisphere is 718.67 cm2. Find its diameter (in cm)._x005F_x000D_

A. 7
B. 28
C. 14
D. 21
Answer» D. 21
Discussion
700.

The volume of a hemisphere is 89.83 cm³. Find its diameter (in cm)._x005F_x000D_

A. 3.5
B. 7
C. 14
D. 10.5
Answer» C. 14
Discussion