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.

701.

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

A. 0.5
B. 0.4
C. 0.3
D. 0.2
Answer» B. 0.4
Discussion
702.

The volume of a right circular cone. whose radius of the base is one-third of its altitude. and the volume of a hemisphere are equal. The ratio of the radii of the cone and the hemisphere is:_x005F_x000D_

A. 3 3:23
B. 0.085416666666667
C. 2 : 13
D. 2 :3 33
Answer» E.
Discussion
703.

The volume of a right circular cone, whose radius of the base is same as its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is_x005F_x000D_

A. 33 : 23
B. 2 : 1
C. 0.042361111111111
D. 43 : 1
Answer» E.
Discussion
704.

The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is

A. 0.084027777777778
B. √2 : 1
C. 23 : 1
D. 33 : 23
Answer» D. 33 : 23
Discussion
705.

The volume of a sphere is 179.67 cub.cm. Find its diameter (in cm).

A. 3.5
B. 14
C. 7
D. 10.5
Answer» D. 10.5
Discussion
706.

The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?

A. 3
B. 4
C. 4.5
D. 5
Answer» B. 4
Discussion
707.

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A. 40cm
B. 30cm
C. 20cm
D. 10cm
Answer» B. 30cm
Discussion
708.

The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is

A. 0.5 cm
B. 1.5 cm
C. 1 cm
D. 2 cm
Answer» D. 2 cm
Discussion
709.

The whole surface area of a pyramid whose base is a regular polygon is 340 cm2 and area of its base is 100 cm2 . Area of each lateral face is 30 cm2. Then the number of lateral faces is

A. 8
B. 9
C. 7
D. 10
Answer» B. 9
Discussion
710.

There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ∠FDH (in degrees)?

A. 22.5
B. 45
C. 30
D. 42.5
Answer» C. 30
Discussion
711.

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

A. 44230
B. 44232
C. 44234
D. 44236
Answer» B. 44232
Discussion
712.

Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is

A. 30
B. 90
C. 45
D. 60
Answer» E.
Discussion
713.

Three angles of a quadrilateral are 60°,90°and 100°. Then the fourth angle of the quadrilateral is

A. 95°
B. 100°
C. 110°
D. 115°
Answer» D. 115°
Discussion
714.

Three circle C1, C2 and C3 with radii r1, r2 and r3 (where r1

A. √( r1r3)
B. ( r1 + r3)/2
C. (2 r1r2)/( r1 + r2)
D. √( r1 + r3)
Answer» B. ( r1 + r3)/2
Discussion
715.

Three consecutive angles of a cycle quadrilateral are in the ratio of 1 : 4 : 5 . The measure of fourth angle is

A. 120°
B. 60°
C. 30°
D. 80°
Answer» C. 30°
Discussion
716.

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A. Only one
B. Only two
C. Only three
D. Infinitely many
Answer» B. Only two
Discussion
717.

Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is

A. 12 cm
B. 14 cm
C. 16 cm
D. 18 cm
Answer» B. 14 cm
Discussion
718.

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed

A. 486
B. 586
C. 686
D. 786
Answer» B. 586
Discussion
719.

Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is

A. r1+r2+r3
B. r12+r22+r3212
C. r13+r23+r3313
D. r14+r24+r3414
Answer» D. r14+r24+r3414
Discussion
720.

Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?

A. 12
B. 14
C. 16
D. 28
Answer» E.
Discussion
721.

Three toys are in a shape of cylinder, hemisphere and cone. The three toys have same base. Height of each toy is 2√2 cm. What is the ratio of the total surface areas of cylinder, hemisphere and cone respectively?

A. 4 : 3 : [(√2) + 1]
B. 4 : 3 : [2 + (√2)]
C. 4 : 3 : 2√2
D. 2 : 1 : (1 + √2)
Answer» B. 4 : 3 : [2 + (√2)]
Discussion
722.

Total surface area of a cube is 486 sq cm, find sum of length of all its edges?

A. 216 cms
B. 108 cms
C. 54 cms
D. 162 cms
Answer» C. 54 cms
Discussion
723.

Triangle ΔXYZ is similar to ΔPQR. If XY:PQ=5:1. If Area of ΔPQR is 5 sq cm, what is the area (in sq cm) of ΔXYZ?

A. 125
B. 120
C. 100
D. 64
Answer» B. 120
Discussion
724.

Two adjacent sides of a parallelogram are 21 cms and 20 cms. The diagonal joining the end points of these two sides is 29 cms. The area of the parallelogram (in sq.cms) is

A. 240
B. 120
C. 210
D. 420
Answer» E.
Discussion
725.

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

A. 50°
B. 60°
C. 80°
D. 120°
Answer» D. 120°
Discussion
726.

Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?A. 154 square cmB. 308 square cmC. 462 square cmD. 616 square cm

A. 154 square cm
B. 308 square cm
C. 462 square cm
D. 616 square cm
Answer» D. 616 square cm
Discussion
727.

Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?

A. 6.8
B. 13.6
C. 7.2
D. 14.4
Answer» E.
Discussion
728.

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

A. 3.5
B. 3.75
C. 4.25
D. 4.45
Answer» C. 4.25
Discussion
729.

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

A. 3 cm
B. 4 cm
C. 5.5 cm
D. 3.5 cm
Answer» B. 4 cm
Discussion
730.

Two circles touch each other internally. The radius of the smaller circle is 6 cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is

A. 7.5 cm
B. 9 cm
C. 8 cm
D. 10 cm
Answer» C. 8 cm
Discussion
731.

Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?

A. AP = BQ
B. AP | BQ
C. AP || BQ
D. AP = 1⁄2 BQ
Answer» D. AP = 1⁄2 BQ
Discussion
732.

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

A. 0.12569444444444
B. 0.084027777777778
C. 0.16736111111111
D. 0.20902777777778
Answer» B. 0.084027777777778
Discussion
733.

Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

A. 0.084027777777778
B. 0.12569444444444
C. 0.16736111111111
D. 0.20902777777778
Answer» C. 0.16736111111111
Discussion
734.

Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is

A. 7 cm
B. 9 cm
C. 10 cm
D. 8 cm
Answer» E.
Discussion
735.

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?

A. 1077.31
B. 905.14
C. 966.07
D. 1007.24
Answer» C. 966.07
Discussion
736.

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are

A. 10, 20
B. 4, 8
C. 3, 6
D. 5, 10
Answer» E.
Discussion
737.

Two tangents PA and PB are drawn to a circle of centre O in such a way that angle AOB = 120 deg. Calculate the value of angle APB._x005F_x000D_

A. 40 deg
B. 50 deg
C. 60 deg
D. 80 deg
Answer» D. 80 deg
Discussion
738.

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

A. 768 sq cms
B. 192 sq cms
C. 384 sq cms
D. 576 sq cms
Answer» D. 576 sq cms
Discussion
739.

Volume of a cylinder is 13860 cubic cm. If circumference of its base is 132 cm, find the curved surface area of the cylinder?

A. 2640 sq cm
B. 3960 sq cm
C. 1320 sq cm
D. 660 sq cm
Answer» D. 660 sq cm
Discussion
740.

Volume of a cylinder is 770 cubic cm. If circumference of its base is 22 cm, what will be the curved surface area of the cylinder? (Take π = 22/7)

A. 440 sq cms
B. 880 sq cms
C. 220 sq cms
D. 660 sq cms
Answer» B. 880 sq cms
Discussion
741.

Volume of a cylinder is 2310 cubic cm. If circumference of its base is 44 cm, find the curved surface area of the cylinder?

A. 660 sq cm
B. 1320 sq cm
C. 1980 sq cm
D. 330 sq cm
Answer» B. 1320 sq cm
Discussion
742.

Water flows into a tank 200 m x 160 m through a rectangular pipe of 1.5m x 1.25 m @ 20 kmph . In what time (in minutes) will the water rise by 2 meters?

A. 92min
B. 93min
C. 95min
D. 96min
Answer» E.
Discussion
743.

What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?

A. 2
B. 4
C. 3
D. 6
Answer» C. 3
Discussion
744.

What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?

A. (-1 , 3)
B. (1 , 3)
C. (1 , -3)
D. (-1 , -3)
Answer» C. (1 , -3)
Discussion
745.

What is the altitude of an equilateral triangle whose side is 12√3 cm?

A. 12 cm
B. (15√3)/2 cm
C. (9√3)/2 cm
D. 18 cm
Answer» E.
Discussion
746.

What is the area (in sq cm) of a regular hexagon of side 14 cm?

A. 147√3
B. 441√3
C. 196√3
D. 294√3
Answer» E.
Discussion
747.

What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x =2, y = -2 and y = 3?

A. 12
B. 24
C. 15
D. 60
Answer» D. 60
Discussion
748.

What is the circumference (in cm) of a circle whose area is 616 sq cm?

A. 44
B. 22
C. 66
D. 88
Answer» E.
Discussion
749.

What is the curved surface area (in cm²) of a hemisphere of diameter 42 cm?

A. 2332
B. 1778
C. 1556
D. 2772
Answer» E.
Discussion
750.

What is the diameter (in cm) of a sphere of surface area 154 sq cm?

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