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.

601.

The diameter of the driving wheel of a cart is 154 cm. Calculate the revolution per minute [RPM] of the wheel in order to keep a speed of 33 kmph?

A. 114
B. 112
C. 110
D. 108
Answer» B. 112
602.

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

A. 0.085416666666667
B. 0.12638888888889
C. 0.37777777777778
D. 0.17291666666667
Answer» E.
603.

The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

A. 8.04kg
B. 8.14kg
C. 8.24kg
D. 9.04kg
Answer» B. 8.14kg
604.

The height and the total surface area of a right circular cylinder are 4 cm and 8Ï€ sq.cm. respectively. The radius of the base of cylinder is

A. (2√2 - 2) cm
B. (2 - √2) cm
C. 2 cm
D. √2 cm
Answer» B. (2 - √2) cm
605.

The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the orignal cylinder, then the radius of the solid cylinder is

A. 6 cm
B. 7.25 cm
C. 6.5 cm
D. 7 cm
Answer» B. 7.25 cm
606.

The height of a cone is 24 cm and the area of the base is 154 cm2 . What is the curved surface area (in cm2) of the cone?

A. 484
B. 550
C. 525
D. 515
Answer» C. 525
607.

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cub.cm more. Assuming Π = 22/7, the height of the cylinder is

A. 5 cm
B. 7 cm
C. 9 cm
D. 11 cm
Answer» C. 9 cm
608.

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

A. 34650
B. 61600
C. 36960
D. 62370
Answer» E.
609.

The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is

A. 4m
B. 5m
C. 6m
D. 7m
Answer» B. 5m
610.

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:

A. 0.16875
B. 0.12777777777778
C. 0.084027777777778
D. 0.043055555555556
Answer» B. 0.12777777777778
611.

The internal bisectors of ∠Q and ∠R of triangle PQR meet at O. If ∠P = 70°, then what is the measure of ∠QOR (in degrees)?

A. 110
B. 115
C. 125
D. 135
Answer» D. 135
612.

The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be _____.

A. 10.2 cm
B. > 10.2 cm
C. >=10.2 cm
D. <10.2 cm
Answer» B. > 10.2 cm
613.

The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be_____.

A. 10.2 cm
B. greater than 10.2 cm
C. greater than and equal to 10.2 cm
D. less than 10.2 cm
Answer» B. greater than 10.2 cm
614.

The least number of square tiles of side 41 cms required to pave the ceiling of a room of size 15m 17cm long and 9m 2 cm broad is:

A. 902
B. 656
C. 738
D. 814
Answer» E.
615.

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

A. 50 metres
B. 100 metres
C. 150 metres
D. 250 metres
Answer» C. 150 metres
616.

The length, breadth and height of a cuboid are 10 cm, 6 cm and 4 cm respectively. What is the total surface area?

A. 248 sq cms
B. 496 sq cms
C. 124 sq cms
D. 372 sq cms
Answer» B. 496 sq cms
617.

The length, breadth and height of a cuboid are in the ratio 19 : 11 : 13. If length is 30 cm more than height, then what is the volume (in cub.cm) of this cuboid?

A. 81510
B. 89665
C. 195300
D. 339625
Answer» E.
618.

The length, breadth and height of a cuboid are 12 cm, 8 cm and 6 cm respectively. The volume of the cuboid is (Use π = 22/7)

A. 1152 cubic cms
B. 288 cubic cms
C. 576 cubic cms
D. 864 cubic cms
Answer» D. 864 cubic cms
619.

The length, breadth and height of a cuboidal box are in the ratio 7 : 5 : 3 and its whole surface area is 27832 sq.cm. Its volume is:_x005F_x000D_

A. 288120 cub.cm
B. 280120 cub.cm
C. 208120 cub.cm
D. 288100 cub.cm
Answer» B. 280120 cub.cm
620.

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

A. 44234
B. 7
C. 7√2
D. 14
Answer» C. 7√2
621.

The length of one side of a rhombus is 41 cm and its area is 720 sq.cm. What is the sum of the lengths of its diagonals?

A. 82 cm
B. 90 cm
C. 98 cm
D. 80 cm
Answer» D. 80 cm
622.

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

A. 6Ï€
B. 9Ï€
C. 12Ï€
D. 15Ï€
Answer» D. 15Ï€
623.

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

A. 6
B. 9
C. 12
D. 18
Answer» D. 18
624.

The length of the diagonal and the breadth of a rectangle are 29 cm and 20 cm respectively. Find its perimeter (in cm)._x005F_x000D_

A. 164
B. 82
C. 21
D. 42
Answer» C. 21
625.

The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is

A. 2 cm
B. 3 cm
C. 4 cm
D. 15 cm
Answer» C. 4 cm
626.

The length of the two adjacent sides of a rectangle inscribed in a circle are 5 cm and 12 cm respectively. Then the radius of the circle will be

A. 6 cm
B. 6.5 cm
C. 8 cm
D. 8 .5 cm
Answer» C. 8 cm
627.

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?

A. 126
B. 252
C. 504
D. 1024
Answer» C. 504
628.

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center._x005F_x000D_

A. 10
B. 8
C. 6
D. 4
Answer» E.
629.

The lengths of the two diagonals of a rhombus are 7 cm and 24 cm. Find the length of its perimeter (in cm).

A. 25
B. 100
C. 75
D. 50
Answer» E.
630.

The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?

A. 35
B. 75
C. 150
D. 225
Answer» D. 225
631.

The lengths of two diagonals of a rhombus are 24 cm and 32 cm. What is the side (in cm) of the rhombus?

A. 20
B. 40
C. 60
D. 80
Answer» B. 40
632.

The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (in cm).

A. 20
B. 10
C. 40
D. 30
Answer» B. 10
633.

The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.

A. trapezium
B. rectangle
C. parallelogram
D. square
Answer» D. square
634.

The measures of the four angles of a quadrilateral are in the ratio 1:2:4:5. What is the measure of the biggest angle?

A. 120°
B. 30°
C. 60°
D. 150°
Answer» E.
635.

The line parallel to the BC of the triangle ABC divides the other two sides at the point D and E in such a way that AB=3AD. Calculate the ratio of DE and BC._x005F_x000D_

A. 0.045833333333333
B. 0.044444444444444
C. 0.04375
D. 0.12569444444444
Answer» D. 0.12569444444444
636.

The line segment AB intersects the straight line CD at B; AB will be smallest when ∠ ABD (in degrees) is

A. 30
B. 60
C. 90
D. 45
Answer» D. 45
637.

The line passing through (4,3) and (y,0) is parallel to the line passing through (­-1,-­2) and (3,0). Find y?

A. -1
B. -2
C. 2
D. -5
Answer» C. 2
638.

The number of diagonals in a pentadecagon is

A. 30
B. 90
C. 45
D. 60
Answer» C. 45
639.

The minimum number of straight lines required to construct the given figure is ___._x005F_x000D_

A. 11
B. 12
C. 9
D. 10
Answer» B. 12
640.

The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).

A. 60
B. 240
C. 120
D. 180
Answer» D. 180
641.

The orthocentre of a triangle is the point where

A. the medians meet
B. the altitudes meet
C. the right bisectors of the sides of
D. the bisectors of the angles
Answer» C. the right bisectors of the sides of
642.

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BC­XY is

A. 10 units
B. 8 units
C. 6 units
D. 4 units
Answer» E.
643.

The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

A. Incenter
B. Circumcenter
C. Centroid
D. Orthocenter
Answer» B. Circumcenter
644.

The perimeter and the length of one of the diagonals of a rhombus is 26 cm and 5 cm respectively. Find the length of its other diagonal (in cm)._x005F_x000D_

A. 6
B. 12
C. 24
D. 18
Answer» C. 24
645.

The perimeter and the length of one of the diagonals of a rhombus is 34 cm and 8 cm respectively. Find the length of its other diagonal (in cm)._x005F_x000D_

A. 7.5
B. 30
C. 22.5
D. 15
Answer» E.
646.

The point equidistant from the sides of a triangle is called

A. Circumcenter
B. Incentre
C. Orthocentre
D. Centroid
Answer» C. Orthocentre
647.

The point of the intersection of three medians is known as the ____________.

A. circum-centre
B. in-center
C. centroid
D. orthocenter
Answer» D. orthocenter
648.

The point where the 3 medians of a triangle meet is called

A. centroid
B. Incentre
C. Circumcentre
D. orthocentre
Answer» B. Incentre
649.

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is

A. 1.1388888888889
B. 0.85208333333333
C. 0.17291666666667
D. 0.37777777777778
Answer» C. 0.17291666666667
650.

The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?

A. 6.76
B. 5.88
C. 6.12
D. 3.34
Answer» D. 3.34