Explore topic-wise MCQs in Arithmetic Ability.

This section includes 924 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

301.

Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

A. 1.967
B. 1.867
C. 1.767
D. 1.567
Answer» B. 1.867
Discussion
302.

There is a square field of area ‘X’ square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ‘X’ ?

A. 548 sq. m
B. 524 sq. m
C. 518 sq. m
D. 554 sq. m
Answer» E.
Discussion
303.

The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?

A. 13.68kmph
B. 31.68kmph
C. 41.68kmph
D. 45.68kmph
Answer» C. 41.68kmph
Discussion
304.

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?

A. 50.05
B. 57.56
C. 52.12
D. none
Answer» E.
Discussion
305.

The volumes of spheres A and B are in the ratio 125 : 64. If the sum of radii of A and B is 36 cm, then the surface area (in cm2) of A is:_x005F_x000D_  _x005F_x000D_

A. 512Ï€
B. 1600Ï€
C. 800Ï€
D. 1024Ï€
Answer» C. 800Ï€
Discussion
306.

The volume of a cube is 274.625 cm³. Find its side (in cm)._x005F_x000D_

A. 7.5
B. 6.5
C. 5.5
D. 3.5
Answer» C. 5.5
Discussion
307.

The two lines 3x - 8y = 16 and 2x + 4y = 6 intersect at (a,b). Find the value of a2-4b2_x005F_x000D_  _x005F_x000D_

A. 5_x005F_x000D_
B. 10_x005F_x000D_
C. 15_x005F_x000D_
D. 20
Answer» D. 20
Discussion
308.

The total surface area of a hemisphere is 1039.5 cm2. Find its diameter (in cm)._x005F_x000D_

A. 21
B. 10.5
C. 42
D. 31.5
Answer» B. 10.5
Discussion
309.

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area(in cm2) of the triangle?

A. 50√5
B. 100
C. 75√7
D. 175
Answer» D. 175
Discussion
310.

The two chords AB and CD of a circle intersect at point P, such that BP=4 cm, PD=5 cm, and CP=8 cm. find the length of chord AB._x005F_x000D_

A. 8
B. 10
C. 12
D. 14
Answer» E.
Discussion
311.

The tangent at any point of the circle is _________________ to the radius through the point of contact._x005F_x000D_

A. parallel
B. intersecting
C. perpendicular
D. equal
Answer» D. equal
Discussion
312.

The sum of the lengths of the edges of a cube is equal to the perimeter of a square. If 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. 30 units
B. 9 units
C. 27 units
D. 12 units
Answer» D. 12 units
Discussion
313.

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 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. 108 units
B. 36 units
C. 216 units
D. 288 units
Answer» D. 288 units
Discussion
314.

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

A. 20
B. 10
C. 4√5
D. 10√2
Answer» B. 10
Discussion
315.

The sum of all interior angles of a polygon is 1260°. Find the number of sides of the polygon._x005F_x000D_

A. 11
B. 8
C. 10
D. 9
Answer» E.
Discussion
316.

The slopes of two lines are 1/√3 and √3. What is the angle between these two lines?

A. 15°
B. 45°
C. 60°
D. 30°
Answer» E.
Discussion
317.

The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

A. 312 sq.cm
B. 128 sq.cm
C. 412 sq.cm
D. 246 sq.cm
Answer» C. 412 sq.cm
Discussion
318.

The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is

A. 52
B. 48
C. 32
D. 26
Answer» C. 32
Discussion
319.

The side of an equilateral triangle is 14 cm. Find its area (in sq.cm).

A. 64√3
B. 49√2
C. 64√2
D. 49√3
Answer» E.
Discussion
320.

The ratios of areas of two squares, one having its diagonal double than the other is

A. 0.084027777777778
B. 0.085416666666667
C. 0.12569444444444
D. 0.16736111111111
Answer» E.
Discussion
321.

The ratio of the areas of a square and a regular hexagon, both inscribed in a circle is?_x005F_x000D_

A. 4 : 3√3
B. 1 : √3
C. 3√3 : 2
D. 0.085416666666667
Answer» B. 1 : √3
Discussion
322.

The rectangle having 10 cm and 6 cm as its dimensions was reconstructed to make a rhombus having the same perimeter as that of the rectangle and 60 deg as one of its angles. The area of the rhombus, in sq.cm was

A. 24√3
B. 8√3
C. 16√3
D. 32√3
Answer» E.
Discussion
323.

The ratio of bases of two triangles is x:y and that of their areas is a:b. Then the ratio of their corresponding altitudes wll be

A. ay:bx
B. a:b
C. x:y
D. bx:ay
Answer» B. a:b
Discussion
324.

The ratio of the area of a square to that of the square drawn on its diagonal is

A. 0.043055555555556
B. 2;3
C. 0.12569444444444
D. 0.16736111111111
Answer» B. 2;3
Discussion
325.

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A. 16
B. 18
C. 20
D. 22
Answer» C. 20
Discussion
326.

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

A. √51 : √68
B. √33 : √17
C. √66 : √51
D. √28 : √17
Answer» C. √66 : √51
Discussion
327.

The radius of the circle is 14 cm, an arc is subtend an angle 54 degree at center. Find the length of the arc (in cm).

A. 12.8
B. 13.2
C. 13.8
D. 14.2
Answer» C. 13.8
Discussion
328.

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=22/7)

A. 0.59097222222222
B. 1.1743055555556
C. 0.30694444444444
D. 0.92152777777778
Answer» B. 1.1743055555556
Discussion
329.

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

A. 81 m
B. 80 m
C. 75 m
D. 72 m
Answer» E.
Discussion
330.

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

A. 4140Ï€ sq.cm.
B. 4110Ï€ sq.cm.
C. 4080Ï€ sq.cm.
D. 4050Ï€ sq.cm.
Answer» B. 4110Ï€ sq.cm.
Discussion
331.

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ?_x005F_x000D_ Question :_x005F_x000D_ What is the height of a right-angled triangle ?_x005F_x000D_ Statements :_x005F_x000D_ A. The area of the triangle is 20 times its base._x005F_x000D_ B. The perimeter of the triangle is equal to that of a square of the side 10 cm.

A. Only statement A is required
B. Only statement B is required
C. Both A & B are required
D. Neither (A) nor (B) is reuired
Answer» B. Only statement B is required
Discussion
332.

The point where the triangle forms the right angle in the right angled triangle is known as the ________._x005F_x000D_

A. in-centre
B. circum-centre_x005F_x000D_
C. centroid_x005F_x000D_
D. ortho-centre_x005F_x000D_
Answer» E.
Discussion
333.

The point of intersection of all the three medians of a triangle is called its

A. orthocentre
B. incentre
C. centroid
D. circumcentre
Answer» D. circumcentre
Discussion
334.

The point at which the perpendicular bisectors of the sides of a triangle intersect is known as _____________________

A. circum-centre
B. orthocenter
C. centroid
D. in-center
Answer» B. orthocenter
Discussion
335.

The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

A. 12
B. 24
C. 36
D. 48
Answer» C. 36
Discussion
336.

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A. 18√3 sq cm
B. 9√3 sq cm
C. 18√2 sq cm
D. 9√2 sq cm
Answer» B. 9√3 sq cm
Discussion
337.

The perimeter of a triangle is 28 cm. If the length is 5/2 times its breadth, find the length and breadth of the triangle.

A. 9 & 5
B. 10 & 4
C. 6 & 7
D. 11 & 3
Answer» C. 6 & 7
Discussion
338.

The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm2 ) of the triangle ?

A. 39
B. 48
C. 57
D. 64
Answer» C. 57
Discussion
339.

The perimeter of a square plot is the same as that of a rectangular plot with sides 35 m and 15 m. The side of the square plot is:_x005F_x000D_  _x005F_x000D_

A. 25 m
B. 20 m
C. 100 m
D. 50 m
Answer» B. 20 m
Discussion
340.

The perimeter of a square is 40 meters. Find the length of one side of the square

A. 10m
B. 20m
C. 30m
D. 40m
Answer» B. 20m
Discussion
341.

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

A. 55.12 cm
B. 22.54 cm
C. 42.51 cm
D. 38.57 cm
Answer» E.
Discussion
342.

The perimeter of a square is 34 cm. Find its area (in cm2)._x005F_x000D_

A. 144.5_x005F_x000D_
B. 82.25_x005F_x000D_
C. 164.5_x005F_x000D_
D. 72.25
Answer» E.
Discussion
343.

The perimeter of a square is 30 cm. Find its area (in cm²).

A. 56.25
B. 112.5
C. 60.25
D. 120.5
Answer» B. 112.5
Discussion
344.

The perimeter of a square is 26 cm. Find its area (in cm2)._x005F_x000D_

A. 42.25_x005F_x000D_
B. 84.5_x005F_x000D_
C. 39.25_x005F_x000D_
D. 78.5
Answer» B. 84.5_x005F_x000D_
Discussion
345.

The perimeter of a square is 22 cm. Find its area (in cm2)._x005F_x000D_

A. 60.5
B. 22.5_x005F_x000D_
C. 45_x005F_x000D_
D. 30.25
Answer» E.
Discussion
346.

The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?_x005F_x000D_

A. 2
B. 3
C. 4
D. 5
Answer» D. 5
Discussion
347.

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

A. 333 sq.mts
B. 330 sq.mts
C. 362 sq.mts
D. 432 sq.mts
Answer» E.
Discussion
348.

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A. 360sq metre
B. 380 sq metre
C. 360 metre
D. 400 sq metre
Answer» B. 380 sq metre
Discussion
349.

The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle?

A. l=65;b=16
B. l=16;b=64
C. l=64;b=16
D. l=16;b=48
Answer» D. l=16;b=48
Discussion
350.

The perimeter and the breadth of a rectangle are 82 cm and 20 cm respectively. Calculate the length of its diagonal (in cm)._x005F_x000D_

A. 58
B. 21
C. 42
D. 29
Answer» E.
Discussion